Hey there!
Answer :[tex] \sf{ \purple{ \boxed{\bold{m = - \dfrac{7}{3} }}}} [/tex]
[tex] \\ [/tex]
Explanation :We are given the points [tex] \sf{P_1(\overbrace{ \blue{8}}^{\blue{x_1}} ,\underbrace{\orange{-8}}_{ \orange{y_1}}) \: and \: P_2(\overbrace{ \green{5}}^{\green{x_2}} ,\underbrace{\red{-1}}_{\red{y_2} })} [/tex] . To find the slope [tex] \sf{\purple{m}} [/tex] of such a line, we use the slope formula which is the following:
[tex] \sf{ \purple{m} }= \dfrac{\Delta y}{\Delta x} = \dfrac{ \red{y_2} - \orange{y_1}}{ \green{x_2 }- \blue{x_1}} [/tex]
[tex] \\ [/tex]
⇢Now, by plugging in our values, we get :
[tex] \sf{ \purple{m}} = \dfrac{ \red{ - 1} - \orange{( - 8)}}{ \green{5} \: - \: \blue{8}} = \dfrac{ \: \: 7 \: }{ - 3 \: } \\ \\ \implies \sf{ \purple{ \boxed{m = - \dfrac{7}{3} }}}[/tex]
Therefore, the slope of the line is [tex] \sf{ \purple{ \boxed{m = - \dfrac{7}{3} }}} [/tex]
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
What is the slope of a linear function that goes through (8,-8) and (5,-1)?
[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]
Formula utilised, here [tex]\bf{\dfrac{y2-y1}{x2-x1}}[/tex].
We utilise that formula because we have two points as our given information.
So, we
put in the values
[tex]\bf{\dfrac{-1-(-8)}{5-8}}[/tex] | subtract on top and bottom
[tex]\bf{\dfrac{-1+8}{-3}}[/tex] | simplify
[tex]\bf{\dfrac{7}{-3}[/tex]
[tex]\cline{1-2}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{=Slope=-\dfrac{7}{3}}[/tex]
[tex]\LARGE\boxed{\bf{aesthetic\not1\theta l}}[/tex]
05.02 MC)
Angie is working on solving the exponential equation 34^x= 23; however, she is not quite sure where to start. Using complete sentences, describe to Angie how to solve this equation.
Step-by-step explanation:
First she will start by mutiplying the two numbers.
EMERGENCY!! 25 POINTS!!
Make a table for the following data.
a) English, Maths, Urdu, Science, English, Urdu, Science, Maths, English, Computer, Maths, Urdu, Science, Maths, Computer, English.
Using tally marks make a table of the given subjects English (4), Urdu (3), Maths (4), Science (3) and Computer (2).
The given data are English, Maths, Urdu, Science, English, Urdu, Science, Maths, English, Computer, Maths, Urdu, Science, Maths, Computer, and English.
What is a data table?A table is an arrangement of information or data, typically in rows and columns, or possibly in a more complex structure. Tables are widely used in communication, research, and data analysis.
The data table for the given data is given below:
Thus, using tally marks make a table of the given subjects English (4), Urdu (3), Maths (4), Science (3) and Computer (2).
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Answer:
huh
Step-by-step explanation:
is about and DC are parallel, which angles are congruent to D 3?
Answer:
A
Step-by-step explanation:
Angles 1 and 3 are congruent since they are vertical angles.
Angle 7 is congruent to angle 3 since they are corresponding angles.
Angle 5 is congruent to angle 1 since they are corresponding angles.
Answer: A
the bearing of two points x and y from z are 45° and 135° respectively . if |zx|=8cm and |zy|=6cm, find |xy|.
Answer:
[tex]|{\sf XY}| = 10\; {\rm cm}[/tex].
Step-by-step explanation:
Refer to the diagram attached. The dashed segment attached to [tex]\!{\sf Z}[/tex] points to the north. Rotating this segment clockwise with point [tex]{\sf Z}\!\![/tex] as the fixed center of rotation would eventually align this segment with the one between point [tex]\!\!{\sf Z}[/tex] and point [tex]\!\!{\sf X}[/tex]. The bearing of point [tex]{\sf X}[/tex] from point [tex]{\sf Z}[/tex] is the size of the angle between these two line segments when measured in the clockwise direction.
Subtract the bearing of [tex]{\sf Y}[/tex] from [tex]{\sf Z}[/tex] from the bearing of [tex]{\sf X}[/tex] from [tex]{\sf Z}[/tex] to find the measure of the angle [tex]\angle {\sf YZX}[/tex]:
[tex]\begin{aligned}\angle {\sf YZX} &= 135^{\circ} - 45^{\circ} \\ &= 90^{\circ}\end{aligned}[/tex].
Thus, triangle [tex]\triangle {\sf YZX}[/tex] is a right triangle ([tex]90^{\circ}[/tex]) with segment [tex]{\sf YX}[/tex] as the hypotenuse. It is given that [tex]|{\sf XZ}| = 6\; {\rm cm}[/tex] whereas [tex]|{\sf ZY}| = 6\; {\rm cm}[/tex]. Thus, by Pythagorean's Theorem:
[tex]\begin{aligned}|{\sf ZY}| &= \sqrt{|{\sf ZX}|^{2} + |{\sf ZY}|^{2}} \\ &= \sqrt{(8\; {\rm cm})^{2} + (6\; {\rm cm})^{2}} \\ &= 10\; {\rm cm}\end{aligned}[/tex].
Identify the causes of immigration and emigration?
A person can immigrate to another country for educational purposes.
A person can emigrate to another country for work.
A person can emigrate to another country due to war in their own country.
What is emigration and migration?
Migration is when a person moves from one geographical location or another. Immigration and emigration are types of migration.
Immigration is when a person moves to a foreign country. For example, when a US citizen moved to Italy for work. Emigration is when a person lives his home country.
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Probability and Two-Way Tables
Answer:
the answer are A and Y , B and X.
A and X are two independent events , Option A is the correct answer.
When is Probability ?Probability is the likelihood of an event to happen
A two way table is given
The two events will be independent when
If A is the first event and B is the second event , then
P(A) = P(A|B)
Here the P(A) = 30/100 = 0.3
P(B) = 20/100 = 0.2
P(A|X) = 15/50 = 0.3
P(A) = P(A|X)
Therefore A and X are two independent events , Option A is the correct answer.
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What are the missing parts that correctly complete the proof?
Drag the answers into the boxes to correctly complete the proof.
(Please refer to the images provided for the answer options and equation image.)
It has been proved that point A is equidistant from the sides of angle PQR.
What is a Bisector ?Any line or point that divides an angle or a side in equal parts is called a Bisector.
It is given that
Point A is the bisector of Angle PQR
Referring to the image
1. QA is the bisector of angle PQR : Given
2.Angle PQA = Angle RQA : Definition of Bisector
3.Angle QXA = Angle QYA : Definitions of Perpendicular
4. Angle QXA = Angle QYA : All right angles are congruent.
5. QA ≅QA : Reflexive Property of Congruence
6. ΔPQA ≅ΔRQA : AAS Congruence Postulate
7. AX ≅AY Corresponding parts of Congruent Triangles
8. Point A is equidistant from the sides of Angle PQR : Definition of equidistant.
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Which of the following statements is false?
In quadrilateral PQRS, ∠P and ∠S are opposite angles.
Need help please. Math and I'll give 30 points. Please and thank you. :D
And have a great day! :)
Answer:
h = 17.5 m
Step-by-step explanation:
We have 2 similar right triangles as models of the situation
one has legs with George's height and shadow
the other is the height h of the tree and length of it's shadow
the corresponding sides of the 2 triangles are in proportion, that is
[tex]\frac{6.25}{h}[/tex] = [tex]\frac{10}{28}[/tex] ( cross- multiply )
10h = 175 ( divide both sides by 10 )
h = 17.5 m
Here's an equation of a line:
y - 4x = 9
Which of the following is the equation of a line
that is parallel?
Click on the correct answer.
-4y+ x = 18
y + 4x = 4
2y - 8x = 3
4y + x = 18
Answer:
[tex]2y - 8x = 3[/tex]
Step-by-step explanation:
[tex]y - 4x = 9[/tex]
[tex]2y - 8x = 18[/tex]
So 2y - 8x = 3 is parallel to y - 4x = 9.
bag contains one red pen, four black pens, and three blue pens. Two pens are randomly chosen from the bag and
are not replaced.
To the nearest hundredth, what is the probability that a black pen IS chosen first and then another black pen is
chosen?
ANSWER AT THE BOTTOM
Question:
There is a bag with 1 red pen, 4 black pens, and 3 blue pens. If 2 pens are chosen from the bag without replacement, what is the probability that you chose 2 black pens.
Explanation:
Right now there are a total of 8 pens. 4 of them are black. So, the probability of choosing a black pen right now is 4/8, or 1/2.
Lets assume we picked a pen and got black.
Now there are only 7 pens in the bag, and only 3 of them are black. The probability of choosing a black pen right now is 3/7.
So on the first draw, the probability is 1/2
And on the second draw, the probability is 3/7
To find the probability of 2 ocurrences happening in a row, we must multiply their individual probabilities.
For example, if we wanted to find the probability of rolling two 6's in a row on a dice, we would need to mutiply the individual probability together. The probability of rolling one 6 is 1/6, so the probability of rolling two 6's in a row is 1/6 MULTIPLIED BY 1/6, which is 1/36.
The probability of rolling two 6's in a row is 1/36.
Lets apply the same principle to our situation right now.
So on the first draw, the probability is 1/2
And on the second draw, the probability is 3/7
1/2 MULTIPLIED BY 3/7 = 3/14
3/14 in decimal form is 0.21
ANSWER:
0.21, OR 21%
a die is tossed. find the odds against rolling a number greater than 1
Answer:
5/6
Step-by-step explanation:
cuz there's 6 sides and there are 5 more sides than the 1
The correct answer is : [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
a die has 6 sides.
each side has a number 1-6
The chance of it rolling a number greater than one is 5 chances per 6 options or 5/6
what is the length of the base? help me please thank u ;)
=============================================================
Explanation:
a = 26 and b = 26 are the congruent legs
angle C = 60 degrees is between sides 'a' and b
c = unknown base which is opposite angle C
We'll use the law of cosines to find this missing side.
c^2 = a^2 + b^2 - 2*a*b*cos(C)
c^2 = 26^2 + 26^2 - 2*26*26*cos(60)
c^2 = 676
c = sqrt(676)
c = 26
It turns out that all three sides are the same length (26), which means this isosceles triangle is really equilateral. Consequently, it means all three interior angles are 60 degrees each.
---------------
Here's another way to see why we have an equilateral triangle.
The vertex angle is 60 degrees. Let x be the measure of each base angle. Those two base angles add to the 60 degrees to get 180
x+x+60 = 180
2x+60 = 180
2x = 180-60
2x = 120
x = 120/2
x = 60
Each base angle is 60 degrees, so all three angles are 60 degrees. This points us to the triangle being equilateral and we can say all three sides are 26 units long.
If we didn't have an equilateral triangle, then we'd have no choice but to use the law of cosines mentioned earlier.
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:base \:\:side = 26 \:\: units [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
As the two sides of the triangle are equal, the corresponding angles opposite to the the sides are equal as well.
[tex] \textsf{let each of those angles measure ' x ' } [/tex]
[tex]\qquad \tt \rightarrow \:x + x + 60 = 180[/tex]
[ sum of all interior angles of a triangle ]
[tex]\qquad \tt \rightarrow \:2x + 60 = 180[/tex]
[tex]\qquad \tt \rightarrow \:2x = 180 - 60[/tex]
[tex]\qquad \tt \rightarrow \:2x = 120[/tex]
[tex]\qquad \tt \rightarrow \:x = \cfrac{120}{2} [/tex]
[tex]\qquad \tt \rightarrow \:x = 60 \degree[/tex]
Therefore, all angles of the triangle are equal. that being the case we can conclude that it's an equilateral triangle.
henceforth, all its sides are equal to one another.
[tex]\qquad \tt \rightarrow \:base \: \: side = \: \: 26 \: \: units[/tex]
Help please asap points an brainlist
Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.)
f(x) = 3x − 6
The function values are f(1) = -3, f(-2) = -12, f(x + 4) = 3x + 6
The problem is incomplete. The complete problem is
Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.) f(x) = 3x − 6
(a) f(1)
(b) f(−2)
(c) f(x + 4)
We have
(a) f(1) = 3 (1) - 6 = 3 - 6 = -3
(b) f(-2) = 3(-2) - 6 = -12
(c) f(x + 4) = 3(x + 4) - 6 = 3x + 6
So, the evaluations are f(1) = -3, f(-2) = -12, f(x + 4) = 3x + 6
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A part of a line that starts at one endpoint and extends forever in one direction is a(n)
A. angle
B.point
C.line
D.ray
Answer:
[tex]\fbox {D. ray}[/tex]
Step-by-step explanation:
A part of a line that starts at one endpoint and extends forever in one direction is a ray.
Answer: D. Ray
Step-by-step explanation:
Let's do the process of elimination.
It's not A because there is only one line.
It is not B because a point is only a dot.
It is not C because a line extends forever from BOTH ends.
The correct answer is D because a ray starts on one endpoint and extends forever in one direction.
I hope this helps!! Pls mark brainliest!! :)
state one example of 2 numbers where the LCM of the 2 numbers is the product of those numbers. explain your answers
Answer:
See below
Step-by-step explanation:
3 and 5 have a LCM of 15 which is 3 * 5
Katrina drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she drinks in a week?
There are 16 cups in a gallon.
Answer:
D
Hope this helps!
find 20,21,22,23,24,25,26,27
hello hello hello
Step-by-step explanation:
hi hi hi
The question is the image below.
Answer:
Hence - 7 is the answer
Pls mark me brainliest plss
A standard marathon is about 26.2 miles.
How many feet is this equivalent to?
a.)
2400 feet
b.)
420,455 feet
c.)
138,336 feet
d.)
5280 feet
Answer:138,336
Step-by-step explanation:Because one mile=5280 so that takes out a and d but then just multiply 26.2 and 5280 equals 138,336 hope this helps
138,336 feet is equivalent to 26.2 miles.
Hence, Option C is correct.
Given that,
Length of standard marathon = 26.2 miles
We have to calculate the length of it into feet
Since we know that,
A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Since we know that
1 miles = 5280
Now to find the length of standard marathon in feet,
Multiply 5280 with 26.2.
Hence the length of marathon in feet,
= 5280 x 26.2
= 138,336 feet.
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Solve for x using quadratic formula :
abx^2 + (b^2 - ac)x - bc = 0
[tex]\boxed{\sf x = \dfrac{c}{b} \quad or \quad \dfrac{-b}{a}}[/tex]
Explanation:
Given expression: (ab)x^2 + (b^2 - ac)x + (-bc) = 0
Here given:
a = abb = b² - acc = -bcApply quadratic formula:
[tex]\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \quad when \ ax^2 + bx + c = 0[/tex]
Insert values:
[tex]\sf x = \dfrac{-(b^2 - ac) \pm \sqrt{(b^2 -ac)^2-4(ab)(-bc)} }{2(ab)}[/tex]
[tex]\sf x = \dfrac{-b^2 + ac \pm \sqrt{\left(b^2-ac\right)^2+4abbc} }{2ab}[/tex]
[tex]\sf x = \dfrac{-b^2 + ac \pm \sqrt{b^4+2b^2ac+a^2c^2} }{2ab}[/tex]
[tex]\sf x = \dfrac{-b^2 + ac \pm \sqrt{\left(b^2+ac\right)^2} }{2ab}[/tex]
[tex]\sf x = \dfrac{-b^2 + ac \pm( b^2+ac )}{2ab}[/tex]
[tex]\sf x = \dfrac{-b^2 + ac +( b^2+ac )}{2ab} \quad or \quad \dfrac{-b^2 + ac -( b^2+ac )}{2ab}[/tex]
[tex]\sf x = \dfrac{2ac}{2ab} \quad or \quad \dfrac{-2b^2}{2ab}[/tex]
[tex]\sf x = \dfrac{c}{b} \quad or \quad \dfrac{-b}{a}[/tex]
Apply quadratic formula:
[tex]\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex]\\ \sf\Rrightarrow x = \dfrac{-(b^2 - ac) \pm \sqrt{(b^2 -ac)^2-4(ab)(-bc)} }{2(ab)}[/tex]
[tex]\\ \sf\Rrightarrow x= \dfrac{-b^2 + ac \pm \sqrt{\left(b^2-ac\right)^2+4abbc} }{2ab}[/tex]
[tex]\\ \sf\Rrightarrow x = \dfrac{-b^2 + ac \pm \sqrt{b^4+2b^2ac+a^2c^2} }{2ab}[/tex]
[tex]\\ \sf\Rrightarrow x = \dfrac{-b^2 + ac \pm \sqrt{\left(b^2+ac\right)^2} }{2ab}[/tex]
[tex]\\ \sf\Rrightarrow x = \dfrac{-b^2 + ac \pm( b^2+ac )}{2ab}[/tex]
[tex]\\ \sf\Rrightarrow x = \dfrac{-b^2 + ac +( b^2+ac )}{2ab} \quad or \quad \dfrac{-b^2 + ac -( b^2+ac )}{2ab}[/tex]
[tex]\\ \sf\Rrightarrow x = \dfrac{2ac}{2ab} \quad or \quad \dfrac{-2b^2}{2ab}[/tex]
[tex]\\ \sf\Rrightarrow x = \dfrac{c}{b} \quad or \quad \dfrac{-b}{a}[/tex]
find the y intercept
Answer:
(0,-2)
Step-by-step explanation:
y intercept is that line that intercepts with the y axis
when x is 0 then y value.
Can someone help me please and thxxx
Answer:
C
Step-by-step explanation:
cos 30=12/x
[tex]x = 8 \sqrt{3} [/tex]
cos60=y/x
[tex]y =4 \sqrt{3} [/tex]
Answer:
x = [tex]8\sqrt{3}[/tex]
y = [tex]4\sqrt{3}[/tex]
Step-by-step explanation:
• tan 60° = 12/ y [tan θ = opposite/ adjacent]
y = 12/ tan 60°
y = [tex]4\sqrt{3}[/tex]
• x² = y² + 12² [Pythagoras's theorem]
x² = ( [tex]4\sqrt{3}[/tex] )² + 144
x = [tex]\sqrt{(4\sqrt{3})^{2} \space\ + \space\ 144}[/tex]
x = [tex]8\sqrt{3}[/tex]
factoring 8x^2-12x-8
Answer:
( 8x - 4 ) ( x - 2 )
Step-by-step explanation:
8x² - 12x - 8
8x² - 16x + 4x - 8
8x ( x - 2 ) - 4 ( x - 2 )
( 8x - 4 ) ( x - 2 )
Answer:
⇒ [tex]4(x-2)(2x+1)[/tex]
Step-by-step explanation:
1) Common factor
⇒ [tex]8x^2-12x-8\\[/tex]
⇒ [tex]4(2x^2-3x-2)[/tex]
2) Use the sum-product pattern
⇒ [tex]4(2x^2-3x-2)[/tex]
⇒ [tex]4(2x^2+x-4x-2)[/tex]
3) Common factor from the two pairs
⇒ [tex]4(2x^2+x-4x-2)[/tex]
⇒ [tex]4(x(2x+1)-2(2x+1))[/tex]
4) Rewrite in factored form
⇒ [tex]4(x(2x+1)-2(2x+1))[/tex]
⇒ [tex]4(x-2)(2x+1)[/tex]
32 out of 40 kids said they prefer summer over winter. 25 out of 32 adults said they prefer summer. Did a larger percentage of kids or adults prefer summer.
Answer:
Larger percentage of kids
Step-by-step explanation:
Kids: 32/40 = 4/5
Adults: 25/32 = 5/8
4/5 > 5/8
Use the accompanying table to answer the questions regarding money ratios.
(a) What is the capital a 40-year-old should have with an income of $32,000?
(b) How much should a 35-year-old be saving for retirement with an income of $86,000?
(c) How much in education debt should a 30-year-old have with an income of $59,000?
The 40-year-old should have $___in capital.
(Simplify your answer)
(b) The 35-year-old should be saving $ for retirement.
(Simplify your answer)
(c) The 30-year-old should have $___ in education debt.
(Simplify your answer)
.
The 40-year-old should have $76800 in capital. The 35-year-old should be saving $$10,320 for retirement.
How to solve for the amountsThe capital that a 40 year old has to have with an income of 32000 is
capital income at age 40 * income
= 2.4 * 32000
Capital = $76800
b. At 35 the savings income has to be
percentage of savings income * income
= 12% * $86000
= $10,320
c. There is no specified value for education earnings.
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what 1 - 2/9 - 1/3 - 1/6 =
Answer:
5/18
Step-by-step explanation:
The LCD of 9, 3, and 6 is 18.
1 - 2/9 - 1/3 - 1/6 =
= 18/18 - 4/18 - 6/18 - 3/18
= 5/18
Answer: 5/18
Step-by-step explanation:
1/1 - 2/9 - 1/3 - 1/6
18 - 4 - 6 - 3/18
5/18
Un cartero reparte 10.700 cartas al mes. estimar cunats cartas reparte en un semestre
Teniendo en cuenta la regla de tres simple, el cartero reparte 64.200 cartas en un semestre.
Regla de tresLa regla de tres es una forma de resolver problemas de proporcionalidad entre tres valores conocidos y un valor desconocido, estableciendo una relación de proporcionalidad entre todos ellos.
Es decir, lo que se pretende con ella es encontrar el cuarto término de una proporción conociendo los otros tres.
Si la relación entre las magnitudes es directa, es decir, cuando una magnitud aumenta, la otra también (o cuando una magnitud disminuye, la otra también), se debe aplicar la regla de tres directa.
Para resolver una regla de tres directa se debe seguir la siguiente fórmula, siendo a, b y c datos conocidos y x la variable a calcular:
a ⇒ b
c ⇒ x
Entonces: [tex]x=\frac{cxb}{a}[/tex]
Cartas repartidas en un semestreEn este caso, se puede aplicar la regla de tres de la siguiente manera: Entonces, si el cartero en un mes reparte 10.700 cartas, ¿en 6 meses (un semestre) reparte cuántas cartas?
1 mes ⇒ 10.700 cartas
6 meses ⇒ ×
Entonces: [tex]cantidad de cartas=\frac{6 mesesx10.700 cartas}{1 mes}[/tex]
Resolviendo:
cantidad de cartas= 64.200 cartas
En resumen, el cartero reparte 64.200 cartas en un semestre.
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Which function is graphed?
Answer:
science type of food group : fibre