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Svetach [21]
3 years ago
14

4x+5y=-6 Find the slope

Mathematics
1 answer:
kipiarov [429]3 years ago
5 0

Answer:

-\frac{4}{5}

Step-by-step explanation:

4x+5y=-6

the goal is to get y on one side and everything else on the other side

step 1 subtract 4x from each side

4x-4x cancels out

now we have

5y=-4x-6

step 2 divide each side by 5

5/5 cancels out

now we have

y=\frac{-4}{5}x + \frac{6}{5}

we can conclude that the slope is

-\frac{4}{5}

hope this helps :)

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Y=x² + 16x + 64
motikmotik

I'll do the first one to get you started

The equation y = x^2+16x+64 is the same as y = 1x^2+16x+64

Compare that to y = ax^2+bx+c and we see that

a = 1

b = 16

c = 64

Use the values of 'a' and b to get the value of h as shown below

h = -b/(2a)

h = -16/(2*1)

h = -8

This is the x coordinate of the vertex.

Plug this x value into the original equation to find the corresponding y value of the vertex.

y = x^2+16x+64

y = (-8)^2 + 16(-8) + 64

y = 0

Since the y coordinate of the vertex is 0, this means k = 0.

The vertex is (h,k) = (-8, 0)

---------------------

So we found that a = 1, h = -8 and k = 0

Therefore,

f(x) = a(x-h)^2 + k

f(x) = 1(x-(-8))^2 + 0

f(x) = (x+8)^2

is the vertex form

---------------------

<h3>Final answer to problem 1 is f(x) = (x+8)^2 </h3>
8 0
4 years ago
Solve the formula -8x-3y=-19 for y
Ann [662]

Answer:y = (19 - 8x)/3

Step-by-step explanation:

add 8x to both sides ,

-3y = -19+8x

dividing both sides by -3

y = (19 - 8x)/3

7 0
4 years ago
For a constant function, the y-coordinate is __________ for every pair of points selected, so the average rate of change always
sergij07 [2.7K]

In mathematics, a constant function is one defined in which a function whose output value (y) is the same for every value of the input variable (x). Therefore this means that whatever is the value for x, the value of y would always be the same. Hence we can say that the function is a straight horizontal line in a Cartesian plane.

Since the value of y does not change, and the average rate of change has the formula:

average rate of change = (y2 – y1) / (x2 – x1)

So y2 – y1 = 0 therefore average rate of change is also zero.

 

Hence to complete the sentence:

For a constant function, the y-coordinate is <u>the same</u> for every pair of points selected, so the average rate of change always has a value equal to <u>zero</u>.

4 0
3 years ago
Do I need to multiple<br>​
irina1246 [14]

Answer:

please we don't get you

5 0
3 years ago
Read 2 more answers
The value of 6 dimes is what percent of value of a dollar?
vovangra [49]

Answer:

60%

Step-by-step explanation:

Dimes are 10 cents 10 times 6 is 60

A dollar is 100 cents

6 0
3 years ago
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