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3 years ago

What is the vertex of y = - | x + 3 | + 5

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

7 0

Answer:

vertex = (- 3, 5 )

Step-by-step explanation:

The general form of the absolute value function is

y = a | x - h | + k

where (h, k) are the coordinates of the vertex

Given

y = - | x + 3 | + 5 ← in general form, then

vertex = (- 3, 5 )

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Which of the following equations is written in standard form?

Harlamova29_29 [7]

Standard Form is ax + by = c, where a, b, and c are not fractions and a is not negative.

So, you can go through each of your options to see which ones work with those rules.

A. 2.5x + 3y = 12 No, this is not in Standard Form. 2.5 can be rewritten as 2<span> $\frac{1}{2}$ , menaing A is a fraction, which you can't have.

B. -10x - 3y = 1 No, this is not in Standard Form. A is -10, but A can't be negative.

C. 2x + 3y = 12 Yes, this is in Standard Form. It follows all of the rules.

D. 5x + 5y = 10 Yes, this is in Standard Form. It follows all of the rules.

So, C and D are both written in Standard Form.

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3 years ago

Solve for m

MakcuM [25]

Answer:

m = 29/48

Step-by-step explanation:

Given that

x₂ = (y₂-y₁) +10 →(1

y₂ = y₁-x₁ → (2

y₁= 37

x₁ = 29

Now substitute the value of x₁ and y₁ into equation 2

y₂ = 37-29

y₂ = 8

Now substitute the value of y₂ and y₁ into equation 1

x₂ = (8-37) +10

x₂ = -19

As we know the slope (m) can be calculated as follows

m =(y₂ - y₁)/(x₂ - x₁)

m = (8- 37)/(-19 - 29)

m = (-29)/(-48)

m = 29/48

So our slope is 29/48

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