The equation of the line written in slope intercept form is 0.8333x + 24
From the question given :
x1 = - 12 ; y1 = 14 ; x2 = 6 ; y2 = - 1General form of a slope intercept equation :
y = bx + cb = slope = (y2 - y1) / (x2 - x1)
Slope = (-1 - 14) / (6 - (-12)) = - 15 / 18 = 0.8333
The intercept, c can be obtained thus :
14 = 0.8333(-12) + c
14 = - 10 + c
14 + 10 = c
c = 24
Therefore, the equation can expressed thus y = 0.8333x + 24
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h^6 −64p^6 its trig its factoring the diff/sum of cubes
Answer:
for example lets say: (x+2)(x-2)(
x
4
+4
x
2
+16)
Rewrte the given terms as perfect cubes as follows and use the algebraic identity for the factorisation of difference of two cubes.
x
6
-64 =
(
x
2
)
3
-
(
4
)
3
=(
x
2
-4) (
x
4
+4
x
2
+16)
=(x+2)(x-2)(
x
4
+4
x
2
+16)
Step-by-step explanation:
do u think its correct?
What is an example of all data collected on a group
Answer:
Direct Observation
Step-by-step explanation:
Some of the most common qualitative data collection techniques include open-ended surveys and questionnaires, interviews, focus groups, observation, case studies, and so on.
There are many methods used to collect or obtain data for statistical analysis. Three of the most popular methods are: Direct Observation • Experiments, and • Surveys. A survey solicits information from people; e.g. Gallup polls; pre-election polls; marketing surveys.
What is the area of the arrow
Answer:
32.6
Step-by-step explanation:
Solve the following:
2(x+3)=x-4
Separate question
4(5x-2)=2(9x3)
Answer:
Step-by-step explanation:
2x+6=x-4
x=-10
20x-8x=.....
plz find the slope for both of them
Answer:
(2,2) : (6,8) → m = 3/2
(-2,5) : (3,-2) → m = -7/5
Explanation:
m (slope) = (y2-y1)/(x2-x1)
Express 9% as a fraction in simplest form.
Answer:
[tex] \frac{9}{100} [/tex]
Step-by-step explanation:
9% =0.09 =9/100
9/100 cannot be simplified so that's your answer.
9% as a fraction in simplest form is 9/100.
To express 9% as a fraction in simplest form, we first recognize that "percent" means "per hundred."
Thus, 9% is equivalent to 9 per 100 or 9/100.
However, to simplify this fraction further, we find the greatest common divisor (GCD) of the numerator (9) and the denominator (100), which is 1.
Dividing both the numerator and denominator by their GCD yields 9/100.
Hence, 9% as a fraction in simplest form is 9/100.
This means that 9% represents nine parts out of 100 equal parts, making it a concise and clear representation of a percentage as a fraction.
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Find the value of c that completes the square
x^2+2x+c
Please help me with how to do this, and show me. Thank you.
Answer:
c = 1
Step-by-step explanation:
Given
x² + 2x + c
To complete the square
add ( half the coefficient of the x- term )² to x² + 2x
x² + 2(1)x + 1
= (x + 1)²
Thus
x² + 2x + 1 = (x + 1)² ← a perfect square
with c = 1
Please help me with this question please
Answer:
A
Step-by-step explanation:
15. What must be added to (P–3xº + 4.x –13) to obtain a polynomial which is exactly divisible by
(x-3)?
Answer:
I do it for the point haha
Step-by-step explanation:
you silly elf he
P is a rectangle with a length of 40cm and a width of x cm.
Q is a rectangle with a width of y cm.
The length of Q is 25% more than the length of P.
The area of Q is 10% less than the area of P.
Work out the ratio x : y.
Give your answer in its simplest form.
Answer；
By simply calculating, using the length and width with the relationship given, it's solved.
25:18
Step-by-step explanation:
see the graph↑
Hope this one can help you!!
Q3) f(x) 2x^2 - 5x, g(x) = 3x^3 find g(4x)
Answer:
g(4x) = 192x^3
Step-by-step explanation:
For this problem, f(x) is irrelevant since we are simply are dealing with g(x). We will simply replace the value of x in g(x) with 4x. So let's do that.
g(x) = 3x^3
g(4x) = 3(4x)^3
g(4x) = 3(4^3)(x^3)
g(4x) = 3(64)(x^3)
g(4x) = 192x^3
Hence, g(4x) is 192x^3.
Cheers.
The graph of f(x) = 2x + 3 shifts 10 units to the right when it is replaced with the graph of f(x) = 2x − k. What is the value of k?
Answer:
k=7
Step-by-step explanation:
when entering values of x in the function, it is observed that for k = 7 the results of f (x) displace 10 units. For this see the attached table. Therefore, for this case, the correct answer is k = 7 and the way to solve it is to substitute values of x in the given functions and see the results of f (x).I attach results.
What it the average rate between o and 20?
At Southside Middle School, 20% of the students play an instrument. There are 305 students. How many students play an instrument? (3 points) Select one: a. 20 students b. 61 students c. 244 students d. 285 students
Answer:
number of students that play an instrument= 61
Step-by-step explanation:
Giving the following information:
20% of the students play an instrument
Number fo students= 305
To calculate the number of students that play an instrument, we need to use the following formula:
number of students that play an instrument= total students*proportion of students
number of students that play an instrument= 305*0.2
number of students that play an instrument= 61
what is 20 percent of 305
61
just did a test with that question got it right
Which equation matches the graph? A. y-2=3(x-2) B. y-2=3(x+2) C. y+2=-3(x+2) d. y-2=-3(x-2)
Answer:
There's no graph
Step-by-step explanation:
Given the equation 5x + 3y = 15, which statement is true?
-The x-intercept is 5, and the y-intercept is 3.
-The x-intercept is 3, and the y-intercept is 5.
-The x-intercept is –, and the y-intercept is 15.
-There is not enough information to determine the intercepts.
Answer:
Step-by-step explanation:
5x+3y=15
divide by 15
[tex]\frac{x}{3} +\frac{y}{5} =1[/tex]
which is of the form
[tex]\frac{x}{a} +\frac{y}{b} =1[/tex]
where a and b are x & y intercepts.
x-intercept=3
y-inntercept=5
David,Jenny and Dan went to the arcade on Wednesday. David spent $3.25 Jenny spent $2.25 more than Dan,who spent $1.75 less than David how much did the spend in all
Answer: I believe it is 3.75-
Step-by-step explanation:
David: 3.25
Jenny: 2.25 more than Dan
Dan: 1.75 less than David
3.25
- 1.75
_______
1.50
Dan spent 1.50
1.50
+ 2.25
3.25
_______
$7.00
For what value of x is PQ || BC?
A 5
B. 6
C. 7
D. 8
Answer:
C. 7
Step-by-step explanation:
[tex] In\: \triangle ABC\\
\overline{PQ} \parallel \overline {BC}.. (given) \\[/tex]
Therefore, by Basic Proportionality theorem:
[tex] \frac{AP}{PB} = \frac{AQ}{QC} \\\\
\therefore \frac{x}{x+7} = \frac{x-3}{x+1} \\\\
\therefore \: \frac{x - x - 7}{x + 7} = \frac{x - 3 - x - 1}{x + 1} \\ (by \: dividendo) \\ \\ \frac{ - 7}{x + 7} = \frac{ - 4}{x + 1} \\ \\ \frac{7}{x + 7} = \frac{4}{x + 1} \\ \\ 7x + 7 = 4x + 28 \\ \\ 7x - 4x = 28 - 7 \\ \\ 3x = 21 \\ \\ x = \frac{21}{3} \\ \\ \huge \red{ \boxed{ x = 7}}[/tex]
brainliest!
what translation rule maps ABCD to A’B’C’D’ ?
The translation rule applied to the quadrilateral ABCD is T(1,0). The correct option is B.
What is translation?A translation in mathematics moves a shape left, right, up, or down but does not turn it. The translated (or image) shapes appear to be the same size as the original shape, indicating that they are congruent.
Given that the quadrilateral is translated on the x-y plane from ABCD to A'B'C'D'.
The translation applied to the coordinates of the quadrilateral will be one unit to the right and zero units up or down.
The translation will be written as,
T ( 1 , 0 )
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Janet can do a job in 3 hours, and Garry can do the same job in 2 hours. If Janet works for 1 hour before Garry comes to help, how long will it take them to do it together.
Answer:
48 minutes
Step-by-step explanation:
Given that:
Time taken by Janet = 3 hours
Janet's rate = 1/3 job / hour
Time taken by Garry = 2 hours
Garry's rate = 1/2
Rate of working together :
1/3 + 1/2 = (2 + 3) /6 = 5/6 job/hour
If Janet works for one hour before Garry joins ;
1/3 of the job has been done by Janet
1 - 1/3 = 2/3 of the job left
Hence to finish the job together, it will take :
Fraction of JOB left ÷ rate of working together
(2/3 ÷ 5/6)
= 2 /3 * 6/5
= 12 / 15
= 4 / 5 hours
To minutes
(4/5) * 60
= 240/5
= 48 minutes
Answer:
1 4/5
Step-by-step explanation:
Para preparar una limonada usé litro de jugo de limón natural. Además, utilicé litros de agua. ¿Cuántos litros de líquido utilicé para hacer la limonada?
Answer:
Falta la cantidad de litros de agua utilizados para hacer limonada, e.g. si utilizaste 1 litro de jugo de limon y 3 litros de agua, utilizaste 4 litros de liquido en total. Si utilizaste 1 litro de jugo de limon y 5 litros de agua, utilizaste 6 litros de liquido en total.
Para encontrar la solucion al problema todo lo que tienes que hacer es sumar 1 litro de jugo de limon mas la cantidad de litros de agua que hayan sido utilizados. Tanto el jugo de limon como el agua se miden en litros.
The Eiffel Tower in Paris France has 674 steps that go from the ground to second floor there are 328 steps from ground to first floor how many steps are there from the floor to the second floor
Answer:
346
Step-by-step explanation:
i think
Line AB has endpoints A(3,4) and B(-2,8). What is AB to the nearest tenth
Answer:
6.4
Step-by-step explanation:
To find the distance you have to do this formula.
[tex]\sqrt{(x2 -x1)^{2}+(y2-y1)^{2}} \\\sqrt{(-2 -3)^{2} + (8-4)^{2}\\} \\\sqrt{(-5)^{2} + (4)^{2}} \\\sqrt{25 + 16} \\\sqrt{41} \\ \\\sqrt{41} = 6.40312\\6.4[/tex]
6.4 is the answer rounded to the nearest tenth.
Hope this helps!!
Find the area of a triangle whose vertices are located at (-2,5), (-4, -3), and (3,1). Evaluate the determinant using diagonals.
Answer:
The area of the triangle is 48 unit²
Step-by-step explanation:
The given vertices of the triangle are;
(-2, 5), (-4, -3), and (3, 1)
The formula for finding the area of a triangle with given coordinates of the vertices is as follows;
[tex]\Delta = \dfrac{1}{2}\times \begin{vmatrix}x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 1\end{vmatrix} = \dfrac{1}{2}\times \left | x_1\cdot y_2 - x_2\cdot y_1 + x_2\cdot y_3 - x_3\cdot y_2 + x_3\cdot y_1 - x_1\cdot y_3\right |[/tex]
Substituting gives;
[tex]\Delta = \dfrac{1}{2}\times \begin{vmatrix}-2& 5 & 1\\ -4 & -3 & 1\\ 3 & 1 & 1\end{vmatrix} \\\Delta = \dfrac{1}{2}\times \left | (-2)\times (-3) - ((-4)\times 5) + (-4)\times 1 - 3\times (-3) + 3 \times 5 - (-2)\times 1\right | \\\Delta = \dfrac{1}{2}\times \left | 6 +20 -4 +9 + 15+2\right | = 48[/tex]
The area of the triangle = 48 unit².
Evaluate: f(x) = x + 7
a. f(5) =
b. f(-1) =
c. f(-3) =
Answer:
Step-by-step explanation:
a. f(5) = 5+7 = 12
b. f(-1) = -1+7 =6
c. f(-3) = -3+7 =4
4n+3< 6n+8 -2n what is n
Answer:
[tex]8>3[/tex]
Step-by-step explanation:
STEP 1: Rewrite so n is on the left side of the inequality.
[tex]6n+8-2n>4n+3[/tex]
STEP 2: Subtract 2 n from 6 n .
[tex]4n+8>4n+3[/tex]
STEP 3: Move all terms containing n to the left side of the inequality.
[tex]8>3[/tex]
In the last quarter of a high school football game, your team i s behind by 21 points. A field goal is worth 3 points and a touchdown (after the extra point is worth 7 points. Let x represent the number of field goals scored and y represent the number of touchdowns scored. Write an inequality that models the different number of field goals and touchdowns your team could score to win the game. (Assume the other team doesn't score any more points.)
Answer:
3x + 7y > 21
Step-by-step explanation:
3x + 7y > 21
where:
x = number of field goals needed to win
y = number of touchdowns (plus extra point) needed to win
Since your team is 21 points behind and you want to win the game, not tie it, the number of field goals and touchdowns must result in a number higher than 21, not equal to or higher than.
Answer:
3x + 7y > 21
3x + 7y > 21
where:
x = number of field goals needed to win
y = number of touchdowns (plus extra point) needed to win
Since your team is 21 points behind and you want to win the game, not tie it, the number of field goals and touchdowns must result in a number higher than 21, not equal to or higher than.
while walking in the woods Molly's is a deer grazing as she creeps forward to get a better look molly steps on a Twink that snaps then the deer looks up sees molly and bounds away what characteristic of living things did the deer display?
Answer:
Responsiveness to the environment or reaction to stimuli
Step-by-step explanation:
The characteristics displayed by the deer is referred to as responsiveness to the environment or response to stimuli.
All living things show some degree of responsiveness to changes in their environment. Living things respond in different ways to a particular stimuli, take for example, the response of the deer. The deer senses danger as it seems Molly when Molly stepped on the twink making it to snap. This puts the deer in red alert which made it bounds away.
✅Responsiveness to the environment or reaction to stimuli is what the deer displayed in this instance.
Answer:
THat poor twink
Step-by-step explanation:
HIS BF will miss himm
Common Factors for
21 and 63
Answer:
I think it is this but I haven't done factors in a long time
for 21:
1, 3, 7 and 21
for 63
(1, 63), (3, 21) and (7, 9).
hope this helps!
Mr Is the angle isector of NLP
Find the value of y.
