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uranmaximum [27]
3 years ago
12

What is the average rate of change of the line whose equation is:

Mathematics
1 answer:
dedylja [7]3 years ago
3 0

Answer:

Rate of change = -12

Step-by-step explanation:

y − 3 = −12(x + 4)

Expanding, we have;

y - 3 = -12x - 48

y = -12x - 48 + 3

y = -12x - 45

Now, formula for rate of change is;

Rate of change = (y(x + h) - y)/h

y(x + h) is; y = -12(x + h) - 45

This gives;

Rate of change = (-12(x + h) - 45 + 12x + 45)/h

Rate of change = (-12x - 12h - 45 + 12x + 45)/h

Rate of change = -12h/h

Rate of change = -12

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The graph of a line goes through (0, -2) and has a slope of 1/3
leonid [27]
Make into equation
Y = 1/3x - 2
-5 = 1/3(-1) - 2, false
-1 = 1/3(3) - 2, true
Answer: (3,-1) is also on the line
8 0
2 years ago
Rotating a polygon in Quadrant II 270° clockwise is the same as what?
lora16 [44]
The answer to this question would be: <span>rotating it 90° counterclockwise. 

When you rotate up an object 360</span>°, it will revert into its original places. That mean, if you rotate it more than 180°, then rotating it to the opposite direction will be easier/closer than you do. In this case, you rotate the polygon 270° so it will equal to 360° - 270°= 90° of opposite direction, which means counterclockwise. The quadrant shouldn't have any meaning in this question.
8 0
3 years ago
Write the quadratic equation that has roots -1-rt2/3 and -1+rt2/3 if its coefficient with x^2 is equal to 1
weeeeeb [17]

The equation of the quadratic function is f(x) = x²+ 2/3x - 1/9

<h3>How to determine the quadratic equation?</h3>

From the question, the given parameters are:

Roots = (-1 - √2)/3 and (-1 + √2)/3

The quadratic equation is then calculated as

f(x) = The products of (x - roots)

Substitute the known values in the above equation

So, we have the following equation

f(x) = (x - \frac{-1-\sqrt{2}}{3})(x - \frac{-1+\sqrt{2}}{3})

This gives

f(x) = (x + \frac{1+\sqrt{2}}{3})(x + \frac{1-\sqrt{2}}{3})

Evaluate the products

f(x) = (x^2 + \frac{1+\sqrt{2}}{3}x + \frac{1-\sqrt{2}}{3}x + (\frac{1-\sqrt{2}}{3})(\frac{1+\sqrt{2}}{3})

Evaluate the like terms

f(x) = x^2 + \frac{2}{3}x - \frac{1}{9}

So, we have

f(x) = x²+ 2/3x - 1/9

Read more about quadratic equations at

brainly.com/question/1214333

#SPJ1

7 0
1 year ago
Helppp find the value of y lamooooo
garik1379 [7]

Answer:

4x-13 = 2x+9 ( i think it was exterior angle property i dont remember but its true)

so, solving that eq,

4x-2x = 9+13 (grouping variables and constants)

2x=22

x=11

also, 2x+9 and 3y+2 are on a transversal, and are supplementary angles (add up to 180°)

so, solving for x in 2x+9,

2(11)+9 = 22+9 = 31°

now, 31 + 3y+2 =  180

3y = 180 - 33

y = 147/3 = 49

(hoping you understood the calculations :)

6 0
2 years ago
Can someone help me out plz
jasenka [17]

Each corner angle of a square is 90 degrees.

This means every 90 degree rotation ( Counter clockwise) would move A to the next corner.

Since B is the corner below A, it would take a 90 degree rotation fr A to map on B.

7 0
3 years ago
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