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3 years ago

Find the equation of the line shown.

Mathematics

2 answers:

den301095 [7]3 years ago

4 0

Answer:

y = (-1/4)*x+2

Step-by-step explanation:

The equation is written this way : y= mx+c

m is the slope and c is a constant
m = (f(4)-f(-4))/(4-(-4))= (1-3)/8 = -1/4
y = (-1/4)*x + c
replace x and y by the coordinates of a point to get c
1 = -1/4*4+c
1= -1+c
c= 2

y = -1/4*x+2

zaharov [31]3 years ago

4 0

Answer:

y = -1/4x +2

Step-by-step explanation:

We know the y intercept is 2 ( where it crosses the y axis)

We also need to find the slope

( 0,2) and (4,1) are two points on the line

Using the slope formula

m = (y2-y1)/(x2-x1)

= (1-2)/(4-0)

-1/4

We can write the equation in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -1/4x +2

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Select the correct answer from each drop-down menu.

SOVA2 [1]

The kind of transformation the quadrilateral underwent is 180° rotation about the origin and the new vertex of Q is (4,5).

<h3>What is transformation of plane shapes?</h3>

Transformation is the change in the coordinates of the vertices that make up a plane shape.

This can be done either by translation, reflection or rotation.

Analysis:

since the x and y coordinates of P is the opposite of the coordinates of p' then there is a 180° rotation about the origin.

If vertex Q is (-4, -5), then Q' is the opposite which is (4, 5 )

In conclusion, the transformation is a 180° rotation and the coordinates of Q' are (4, 5).

Learn more about transformation: brainly.com/question/4289712

#SPJ1

7 0

2 years ago

What’s the slope of 6x-y=-4

kobusy [5.1K]

Answer:1/6

Step-by-step explanation:

If you graph it just count how many your line pushes over than down from whole numbers, and that should be your slope (sorry if it’s wrong haven’t don slope in a million years)

6 0

3 years ago

HEY LOOK

kobusy [5.1K]

Use tha bustop method. 7 would be the divisor and $35286 would be the dividend

7 0

3 years ago

Find the value of each variable

4vir4ik [10]

Answer:

x = 10 $\sqrt{2}$ , y = 10 $\sqrt{6}$

Step-by-step explanation:

using the sine and cosine ratios in the right triangle and the exact values

cos60° = $\frac{1}{2}$ , sin60° = $\frac{\sqrt{3} }{2}$ , then

cos60° = $\frac{adjacent}{hypotenuse}$ = $\frac{x}{20\sqrt{2} }$ = $\frac{1}{2}$ ( cross- multiply )

2x = 20 $\sqrt{2}$ ( divide both sides by 2 )

x = 10 $\sqrt{2}$

and

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{y}{20\sqrt{2} }$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

2y = 20 $\sqrt{2}$ × $\sqrt{3}$ = 20 $\sqrt{6}$ ( divide both sides by 2 )

y = 10 $\sqrt{6}$

5 0

2 years ago

Devin owes $26,000 in students loans for college. The interest rate is 8.75% and the loan will be paid off over 15 years. How mu

Nonamiya [84]

Using simple interest, it is found that Devin will pay $60,125 altogether.

The amount paid in <u>simple interest</u> is:

$A = P(1 + rt)$

In which:

P is the principal.
r is the interest rate, as a decimal.
t is the time, in years.

In this problem:

Owes $26,000 in student loans, thus $P = 26000$
Interest rate of 8.75%, thus $r = 0.0875$
Paid off in 15 years, thus $t = 15$ .

The amount he will pay is of:

$A = P(1 + rt)$

$A = 26000[1 + 0.0875(15)]$

$A = 60125$

Devin will pay $60,125 altogether.

A similar problem is given at brainly.com/question/13176347

4 0

2 years ago