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Mice21 [21]
2 years ago
13

What is the equation of a line with a slope of 4 and contains the point (1,-6)

Mathematics
1 answer:
DanielleElmas [232]2 years ago
7 0
The equation of a straight line that passes through a point [x1 , y1} and having a slope ‘m’ is given by (y - y1) = m (x - x1)

Given m = 4 and point ( 1,6), then the equation of the line is

(y-6) = 4 (x-1) i.e, y - 6 = 4x - 4

i.e, 4x -y -4+6 =0 i.e, 4x - y = - 2 or 4x-y+2 = 0
You might be interested in
Find the x- and y-intercept x + 4y = 36
gizmo_the_mogwai [7]

Answer:

x= 36 and y= 9

Step-by-step explanation:

because I said so. jk math

6 0
2 years ago
Read 2 more answers
The length of overline CD is 12 units. C^ prime D^ prime is the image of overline CD under a dilation with a scale factor of n.
Rufina [12.5K]

Answer:

A, D , and E

Step-by-step explanation:

We have that:

\overline{CD} = 12 \: units

\overline{C'D'}

is the image of CD after a dilation of scale factor n.

We use the relation between the image length and object length:

\overline{C'D'} = n \times \overline{CD}

Option A

If n=3/2, then

\overline{C'D'}  =  \frac{3}{2}  \times 12 = 3 \times 6 = 18 \: units

This is true.

Option B

If n=4, then

\overline{C'D'} = 4 \times 12 = 36 \: units

This is false.

Option C

If n=8, then

\overline{C'D'} = 8 \times 12 = 96 \: units

This too is false.

Option D

If n=2, then

\overline{C'D'} = 2 \times 12 = 24 \: units

This is true

Option E

If n=3/4, then

\overline{C'D'} =  \frac{3}{4}  \times  12

\overline{C'D'} =  3 \times 3 = 9 \: units

This is also true.

4 0
3 years ago
Please help me I don’t know
Verizon [17]

Answer: A


Step-by-step explanation: Domain is the input, or x values. You can see the points (1, 6), (2,3), (3,1), and (6,5). In ordered pairs, the x values are the numbers on the left:

(x, y)

So if we take all the numbers on the left, we get 1, 2, 3, and 6. Thus, our domain is {1,2,3,6}


8 0
3 years ago
Write the quadratic equation whose roots are 1 and -5, and whose leading coefficient is 3.
Anna35 [415]

Step-by-step explanation:

they're is a neat little trick.

but first of all, "roots" means the 0 solutions of the equation. like

ax² + bx + c = 0

there are 2 solutions for x to make the whole expression equal 0.

these are the "roots".

now to the little trick :

when is a multiplication resulting in 0 ?

when at least one of the factors is 0.

and any quadratic expression can be written as multiplication of 2 factors. like

c(x - a)(x - b) = cx² - cax - cbx + cab

what are the "roots" or 0 points ?

either

c = 0

x - a = 0 | x = a

x - b = 0 | x = b

the leading coefficient = 3.

that means nothing else than c = 3.

root = 1 means (x - 1) is one factor.

root = -5 means (x + 5) is the other factor.

so, we have

3(x - 1)(x + 5) = 3x² + 12x - 15

and the equation is

3x² + 12x - 15 = 0

or

3x² + 12x = 15

7 0
2 years ago
A package of 5 pairs of insulated socks costs ​$26.45. What is the unit price of the pairs of socks​?
tigry1 [53]

Answer:

$5.29 per pair of socks

Step-by-step explanation:

26.45/5=5.29

3 0
2 years ago
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