Answer:
[tex]3y - 2x = 13[/tex]
Step-by-step explanation:
Given
Points (-14,-5) and (4,7)
Required
Find its linear equation in a standard form
To find the linear form, we start by calculating the slope of the line
This is calculated as thus:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where [tex](x_1,y_1) = (-14,-5)\ and\ (x_2,y_2) = (4,7)[/tex]
So, [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{7 - (-5)}{4 - (-14)}[/tex]
[tex]m = \frac{7 + 5}{4 + 14}[/tex]
[tex]m = \frac{12}{18}[/tex]
Simplify fraction to lowest term
[tex]m = \frac{6*2}{6*3}[/tex]
[tex]m = \frac{2}{3}[/tex]
The equation of the line can then be calculated using any of the given points;
Using
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
[tex]Where\ (x_1,y_1) = (-14,-5)\ and\ m = \frac{2}{3}[/tex]
We have
[tex]\frac{2}{3} = \frac{y-(-5)}{x-(-14)}[/tex]
[tex]\frac{2}{3} = \frac{y+5}{x+14}[/tex]
Multiply both sides by 3
[tex]3 * \frac{2}{3} = \frac{y+5}{x+14} * 3[/tex]
[tex]2 = \frac{y+5}{x+14} * 3[/tex]
[tex]2 = \frac{3(y+5)}{x+14}[/tex]
Multiply both sides by x + 14
[tex]2 * (x + 14) = \frac{3(y+5)}{x+14} * (x + 14)[/tex]
[tex]2 * (x + 14) = 3(y+5)[/tex]
Open brackets
[tex]2 * x + 2 * 14 = 3* y+ 3 * 5[/tex]
[tex]2x + 28 = 3y+ 15[/tex]
Subtract 2x from both sides
[tex]2x - 2x + 28 = 3y+ 15 - 2x[/tex]
[tex]28 = 3y+ 15 - 2x[/tex]
Subtract 15 from both sides
[tex]28 - 15 = 3y+ 15 - 2x - 15[/tex]
[tex]28 - 15 = 3y - 2x + 15- 15[/tex]
[tex]13 = 3y - 2x[/tex]
Reorder
[tex]3y - 2x = 13[/tex]
Hence, the equation of the line in standard form is [tex]3y - 2x = 13[/tex]
Marcus has 2 blue pens, 3 red pens, and a green pen in his backpack. He will pick a pen, give it to a friend, and pick another pen. What is the probability that he picks 2 green pens?
Answer:
There is a zero percent chance of him giving his friends two green pens.
Step-by-step explanation:
He only has One pen.
a box is 24cm by 15cm by 10cm. this box will packed with smaller boxes of paper clips which are 6cm by 3cm by 5cm . what is the largest number of boxes of paper clips that will fit in the bigger box?
Answer:
40 boxes
Step-by-step explanation:
box = 24 x 15 x 10 = 3600 cm
1 paper clip box = 6 x 3 x 5 = 90 cm
3600/90 = 40
so 40 boxes of paper clips will fit
Answer:
40 boxes
box = 24 x 15 x 10 = 3600 cm
A paper clip box = 6 x 3 x 5 = 90 cm
3600/90 = 40
so 40 boxes of paper clips
HELP PLEASE!!! I don't have a lot of time, please help!!!
Read the description of f below, and then use the drop-down menus to complete an explanation of why f is or is not a function.
f relates each student in Mr. Well's history class to their score on a final exam.
Answer:
Step-by-step explanation:
It is a function, since each student gets only one score one final exam,]
Domain is each student,
the first to last
Range is the score each student got:
(however the scoring was made)
f(each student) is a function because each student, or each element of the domain corresponds to the score, one and only one element of the range.
Answer:
The domain of f is 'the students in Mr. Well's history class'
The range of f is 'the final exam scores'
f 'is' a function because each student, or each element of the 'domain', corresponds to 'one' element of the 'range'
30 POINTS!!!!Twice the sum of a number and eleven is more than negative two. Boundary point:
Answer:
2(x + 11) > -2
_________________________________________________________
I feel like we are missing information here, can you comment it down below.
Answer
13
Step-by-step explanation:
Which expression best estimates 6 and three-fourths divided by 1 and two-thirds? 7 divided by 2 6 divided by 1 8 divided by 3 3 divided by 2
Answer:
[tex]4\frac{1}{20}[/tex]
Step-by-step explanation:
[tex]6\frac{3}{4} \div 1\frac{2}{3}[/tex]
[tex]\frac{27}{4} \div \frac{5}{3}[/tex]
[tex]\frac{27}{4} \times \frac{3}{5}[/tex]
[tex]\frac{27 \times 3}{4 \times 5}[/tex]
[tex]=\frac{81}{20}[/tex]
[tex]=4\frac{1}{20}[/tex]
Answer:
7 divided by 2
Step-by-step explanation:
What is 30% of 200? Round to the nearest hundredth (if nec
necessary).
Answer:
60%
Step-by-step explanation:
30/100×200=60%
exactly 60 that's the answer
Which system of equations best represents the situation below?
A farmer grew his own tomatoes (a), eggplants (b), and potatoes (c). He decided to package his vegetables and price them as follows:
2 tomatoes, 1 eggplant, 3 potatoes for $10
3 tomatoes, 2 eggplants, 4 potatoes for $14
4 tomatoes, 2 eggplants, 6 potatoes for $20
Answer:
A.
2a +b+3c =10
3a+2b+4c=14
4a+2b+6c=20
Step-by-step explanation:
Hi, to answer this question we have to write a system of equation with the information given:
The price of each package will be equal to sum of the products of each vegetable (a,b or c) and their respective amount :
So:
2 tomatoes, 1 eggplant, 3 potatoes for $102a +1b+3c =10
3 tomatoes, 2 eggplants, 4 potatoes for $143a+2b+4c=14
4 tomatoes, 2 eggplants, 6 potatoes for $204a+2b+6c=20
The system is:
2a +b+3c =10
3a+2b+4c=14
4a+2b+6c=20
(option A)
Feel free to ask for more if needed or if you did not understand something.
Place the following values in order from least to greatest: 3/4, 0.7, 4/5, 65.5%, 0.72
Answer:
4/5, 3/4, 0.72, 0.70, %65.5
Step-by-step explanation:
65.5/100=0.655
will mark bianleast plz plz i really need this
Triangle LMN is to be reflected across the x-axis.
What will be the vertices of the reflected triangle?
L'(–2, –1), M'(–3, –5), and N'(–6,–4)
L'(–2, 1), M'(–3, 5), and N'(–6,4)
L'(–1, 2), M'(–5, 3), and N'(–4,6)
L'(2, 1), M'(3, 5), and N'(6,4)
Answer:
fourth option
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y), thus
L(2, - 1 ) → L'(2, 1 )
M(3, - 5 ) → M'(3, 5 )
N(6, - 4 ) → N'(6, 4 )
Mark all the statements that are true.
A cone has a radius of 9 cm and a height of 10 cm . The volume of the cone is___ π cm3 .
Change the mixed number into an improper faction 6 5/12
Answer:
77/12
Step-by-step explanation:
Step 1
Multiply the denominator by the whole number
12 × 6 = 72
Step 2
Add the answer from Step 1 to the numerator
72 + 5 = 77
Step 3
Write answer from Step 2 over the denominator
77/12
=12×6+512= 77/12
Answer:
77/12
Step-by-step explanation:
You multiply the whole number by the station's denominator. You will get 72.
Then you add the 72/12 and 5/12 together.
You will get 77/12.
which of the following describes the number 0.5? A. irrational, terminating decimal
B. Rational, repeating decimal
C. irrational, nonrepeating decimal
D. Rational, terminating decimal
Answer:
D
Step-by-step explanation:
0.5 can be written as a fraction and 0.5 doesn't repeat
The number 0.5 is rational and terminating decimal thus option (D) is correct.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
As per the given number, 0.5
Since 0.5 = 5/10 here 5 and 10 both are integers thus it will be a rational number.
Now, 0.5 here the number after the decimal is only one 5 so it is finite thus it will be terminating decimal.
Hence "The number 0.5 is rational and terminating decimal".
For more about the number system,
https://brainly.com/question/22046046
#SPJ3
If x = -2, then x2-7x+10 equals
00
O 20
028
Answer:
28
Step-by-step explanation:
x^2-7x+10
Substitute x = -2
(-2)^2 -7(-2) +10
Exponents and multiplication
4 +14+10
Add
28
the slope of the line below is 2. use the labeled point to find a point-slope equation of the line. (1, 9)
Answer:
Step-by-step explanation:
y - 9 = 2(x - 1)
y - 9 = 2x - 2
y = 2x + 7
Choose which one you believe doesn't belong, then explain the reason why you chose your answer above! ( thank you :) )
1. 5, 9, 13, 17, 21...
2. 5, 15, 45, 135, 405...
3. 5, 2, -1, -4, -7...
4. 10, 13, 16, 19, 22...
Answer:
2
Step-by-step explanation:
1,3,4 are arithmetic sequences
2 is a geometric sequence
Answer:
number 2
Step-by-step explanation:
i think this right.. its just because 45 doesnt come after 15 when counting by 5's.. 20 does :) hope this helps
WILL GIVE BRAINLIEST!! TONS OF POINTS!!
Examine your selected object and the construction you made from 1.08. Which transformations (translations, reflections, or rotations) are present in the construction?
Use complete sentences to describe the transformations present in your construction.
** this should be a well thought out, descriptive, and accurate response.
Answer:
Step-by-step explanation:
In this this construction reflections is present on the 2 line posts by the side. Why I say this is because the line post on the right reflected or translated to the right. Also the little line in the middle was a rotation and dilation, to stay between the posts. So this is why this stool took a translations, reflections, and rotations.
Hope this helps
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function? Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Answer:
Step-by-step explanation:
A teacher purchased a 1-foot long sub to share amongst a group of 4 students but decided to eat 1/3 of it. after dividing the rest of the sub into equal parts how much of a sub will each student receive please an answer and a question im confused
Answer:
2 inches
Step-by-step explanation:
Answer:
2 inches each
Step-by-step explanation:
1 foot = 12 inches
1/3 of 12 =4
left over :12 - 4 = 8
8/4 =2
find the minimum maximum and domain and range of the functions
h(x) = -x² + 4x - 2
Domain (-infinity,infinity)
Min(?
max(2,2)
FAST ANSWER PLZ
Describe a way that you can remember the elements of the reflection matrices if you forget where the 1s, -1s, and 0s belong.
Answer:
Associate the numbers or coordinates with something in your life. Think of it from every possible aspect. For example, number 7. I just think of it as "7 is half of 14, there are 7 days in a week, 7 can be said as 70, which means 7 tea cups. See like that, now when you try and remember the numbers, you are able to pick up on these trail of thoughts are trace it back to its origin, which here is 7.
Answer:
Multiplying the vertex matrix with the matrix gives us a reflection matrix. The most common matrix reflections are seen as a reflection in the x-axis as well as reflection in the y-axis. It can also be reflected by 90 degrees or by 180 degrees. So, one way to remember the elements is by multiplying the given matrix by a unit matrix. And on the other hand, you can remember the elements remembering by what degree we are reflecting the matrix. This way makes it easier to remember the elements.
Step-by-step explanation:
100% on edge2020
I NEED HELP REALLY BAD PLEASE ANSWER THIS QUESTION AS SOON AS POSSIBLE!!!! Which of the following expressions represents the distance between 3/4 and 2
A. 3/4 - 2
B. 2-(-3/4)
C. None Of the above
this is on khan academy and I really need help
A: 3/4 - 2.
Hope this helped!
Answer:
its A
Step-by-step explanation:
if ABC~DEF and the perimeter of ABC is 4 times greater than the
perimeter of DEF, what is the relationship between the areas of the
triangles?
Answer:
The area of triangle ABC is 16 times larger than the area of triangle DEF
Step-by-step explanation:
Step 1: Re-state the input
Given two triangles ABC and DEF are similar with ratio k.
Step 2: Derive the information
Suppose that the triangle ABC is k times larger than triangle DEF.
=> It means that all sides and heights of triangle ABC are k times larger than corresponding sides and heights of triangle DEF.
For example:
AB = k x DE
AC = k x DF
BC = k x EF
=> AB + AC + BC = k x (DE + DF + EF)
=> Perimeter of triangle ABC is k times larger than perimeter of triangle DEF
Step 3: Solve the problem step-by-step
Suppose that AH is the height from vertex A to base BC of triangle ABC and DH' is the height from the vertex D to base EF of triangle DEF.
As the above assumption states:
AH = k x DH'
BC = k x EF
Multiply both sides of the two above equations:
=> AH x BC = DH x EF x k x k
Simplify k components:
=> AH x BC = DH x EF x k^2
Multiply (1/2) to both sides:
=> (1/2) x AH x BC = (1/2) x DH x EF x k^2
Apply the formula to calculate the area of a triangle:
=> Area of triangle ABC = Area of triangle DEF x k^2
In other words:
The area of triangle ABC is (k^2) times larger than area of triangle DEK.
Here, the perimeter of triangle ABC is 4 times larger than the perimeter of triangle DEF => k = 4
Step 4: Make the conclusion
=>The area of triangle ABC is (4^2 = 16) times larger than area of triangle DEK.
Hope this helps!
:)
Simplify 2x + x. What is the answer to this?
Answer:
3x
Step-by-step explanation:
2x+x = 3x
Answer:
3x
Step-by-step explanation:
2x + x.
Factor out the x
x(2+1)
x(3)
3x
Given a = 4, b= -2 and c= 8, evaluate a - b - C.
-14
-6
0-2
Answer:
[tex]( - 2)[/tex]
Step-by-step explanation:
Given that
[tex]a = 4 \\ b = - 2 \\ c = 8[/tex]
Let's solve now
[tex]a - b - c[/tex]
[tex]4 - ( - 2) - 8 \\ 4 + 2 - 8 \\ 6 - 8 \\ - 2[/tex]
Given
a = 4b= -2 c= 8To find out:
Find the value of a - b - c ?
Solution:
a - b - c
Putting the value in the above
4 - ( - 2 ) - 8
4 + 2 - 8 [ - - = + ]
6 - 8
-2
Jason has two pairs of pants, four shirts, and two pairs of shoes from which to choose to wear to school. How many possible outcomes does Jason have? A. 2 B. 4 C. 8 D. 16
Answer:
16 as 2 x 4 x 2 = 16
Step-by-step explanation:
just like on a dice we have 2 dice and 36 outcomes we multiply 6 x 6 to find it answers 36.
With Jason's outcomes he has 2 x 4 x 2 = 16
Answer:
16
Step-by-step explanation:
2 pants * 4 shirts * 2 shoes = 16
please mark me brainliest :)
WILL GIVE BRAINLIEST AND 30 POINTS! Simplify −3 +i over 7 + i . First, multiply both the numerator and denominator by A. -3 + i B. -3 -i C. 7 + i D. 7-1 Hint: C is incorrect.
You have (-3 +i)/(7 + i) so you need to remove the i from the numerator, so you have to multiply by 7-i and you get
(-22 + 4i)/50 which can be simplified to
(-11 + 2i)/25
Answer:
Step-by-step explanation:
What you are trying to do in this question is get rid of the i in the denominator. To do that you must multiply top and bottom by the conjugate of 7 + i
The conjugate is 7 - i
D if correct if you just made a typo. Otherwise there is no answer.
( - 3 + i ) * (7 - i)
=============
(7 + i ) ( 7 - i)
( - 3 + i ) * (7 - i)
=============
49 - i^2
( - 3 + i ) * (7 - i)
=============
49 + 1
( - 3 + i ) * (7 - i)
=============
50
I'll let you work out the numerator. If you get (-2 + i)/5 you are correct.
Select the best answer for the question
9. The perimeter of a church window is 80 inches. If the window is in the shape of a square, what is the length of each side of the window?
A. 20 inches
fold
B. 15 inches
C. 60 inches
D. 40 inches
Answer:
the answer is20 inches
Step-by-step explanation:
a square has 4 sides so you divide the total of 80 by 4.
80÷4=20
a pair of shoes is originally priced at 120 It is on sale for 35% off . Find the total percent that you would pay a .35% b.120% c.65% d70%
Answer:
C
Step-by-step explanation:
Im not exactly sure about this, but i think for the first step, you would do 120*35/100=42 (35/100 is 35%). Then you take 120 and subtract 42, cuz thats how much you took off. 120-42=78. Then, you do 78/120*100 to get the percent you have left. 78/120*100=65%. The simpler way to do it, seeing as there arent mutiple sales on this pair of shoes, is just subtract 35 from 100 to get 65%
Answer:
c: 65% of the answer
Step-by-step explanation:
$120 is 100% we need to find the discount which is 100%-35% = 65%
You will pay now $78 for the shoes.
cross-check 120/100*65 = $78
Given:
AB || DE
C is the midpoint of BD
Prove:
C is the midpoint of AE
Answer:
Step-by-step explanation:
Given: AB║DE and C is the midpoint of BD.
To prove: C is the midpoint of A
Statements Reasons
1). AB║DE 1). Given
2). BC ≅ CD 2). Point C is the midpoint of BD
3). m∠B ≅ m∠D 3). Interior alternate angles
4). m∠ACB ≅ m∠DCE 4). Vertical angles
5). ΔABC ≅ ΔDEC 5). ASA property of congruence
6). AC ≅ EC 6). ΔABC ≅ ΔDEC
7). AC = [tex]\frac{1}{2}(\text{AE})[/tex] 7). AC ≅ EC
