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SVEN [57.7K]
4 years ago
9

What is the first step when rewriting y = -4x2 + 2x - 7 in the form y = a(x - h) + K?

Mathematics
1 answer:
frozen [14]4 years ago
5 0

Answer:

h = -b/2a

Step-by-step explanation:

to find the vertex (h,k)

find h ushing h = -b/2a

then substitute x with h to find k

ie. k = -4h2 + 2h - 7      

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6. On a bank account of $2,500, how much yearly interest will be paid if the rate is3.4%?
iVinArrow [24]

Multiply the amount in the account by the interest rate:

2500 x 0.034 = 85.00

Answer: $85.00

5 0
3 years ago
Joshua is 1.45 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 31.65 meters. He stands 26.2 meters away
Lena [83]

Answer:

The height of the tree=8.42 m

Step-by-step explanation:

We are given that

Height of Joshua, h=1.45 m

Length of tree's shadow, L=31.65 m

Distance between tree and Joshua=26.2 m

We have to find the height of the tree.

BC=26.2 m

BD=31.65m

CD=BD-BC

CD=31.65-26.2=5.45 m

EC=1.45 m

All right triangles are similar .When two triangles are similar then the ratio of their corresponding sides are equal.

\triangle ABD\sim \triangle ECD

\frac{AB}{EC}=\frac{BD}{CD}

Substitute the values

\frac{AB}{1.45}=\frac{31.65}{5.45}

AB=\frac{31.65\times 1.45}{5.45}

AB=8.42m

Hence, the height of the tree=8.42 m

6 0
3 years ago
The two-dimensional net of a rectangular prism is
Elden [556K]

Answer:

28 Square units

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Question Solve for x 3x = x + 8​
Viktor [21]

Answer:

x=4

Step-by-step explanation:

here's our equation: 3x=x+8

Our goal: to isolate x onto one side with nothing else on that side.

x is on both sides; we can subtract x from both sides to make the variables and numbers be on different sides

2x=8

Now we can divide by 2

x=4

Hope this helps! :)

4 0
3 years ago
Read 2 more answers
What is the percent of change from 8,000 to 2,000?
solong [7]

Answer:

75% markdown

Step-by-step explanation:

If I am not mistaken, you can input this into everyday values like a shirt.

For example: If a shirt costs $8 but is on special for $2 then it is 75% off. Since 2 goes into 8 four times, 2 can be considered 25%. So since percent almost always add up back to 100, you take 100- 25 and you get a 75% markdown.

Or so I think, don't quote me on this.

7 0
3 years ago
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