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3 years ago

Please help with this

Mathematics

1 answer:

katrin [286]3 years ago

8 0

Answer:

3rd Option

Step-by-step explanation:

When you find the ratio of the 2 triangles, it is 14/5, so the 2nd option and 4th option are out of the park (The triangles are indeed similar). You are left with options 1 and 3. Option 3 is the best answer as you have to match the vertices of each triangle to each other.

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2 years ago

Read 2 more answers

If the present value of my investment is $8,000 and the rate of interest is 12% compounded annually, what will the value be afte

Dvinal [7]

Answer:

$17,685.45

Step-by-step explanation:

We will use the compound interest formula to solve this:

$A=P(1+\frac{r}{n} )^{nt}$

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

The first step is to change 12% into a decimal:

12% -> $\frac{12}{100}$ -> 0.12

Next, lets plug in the values:

$A=8,000(1+\frac{0.12}{1})^{1(7)}$

$A=17,685.45$

After 7 years, you will have $17,685.45

4 0

3 years ago

h(x) = f(x) − c a horizontal shift of f, c units to the right a vertical shift of f, c units down a horizontal shift of f, c uni

iren [92.7K]

Answer:

a vertical shift of f, c units down

Step-by-step explanation:

Given:

- A function h(x) is defined as:

h(x) = f(x) − c

Find:

- The effect of "c" on the f(x) function.

Solution:

- The effect of adding or subtracting any constant to or from a given function f(x) shifts the f(x) value for all values of x by an amount "c"

- This effect can be modeled on a graph by a "vertical shift" i.e there is an increase/decrease in every "y" value by amount "c" units.

- In the case given we see that "c" units have been subtracted from original f(x).

- Meaning, all f(x) values have decreased for every value of x. This can be categorized as vertical shift of f(x) with "c" units down.

5 0

3 years ago

Sarah uses a recipe to make 4 gallons of her favorite mixed-berry juice. The containers she plans to use to store the juice have

Softa [21]

Answer:

Step-by-step explanation:

8 pints per gallon

8x4=32 pints total

each container holds 1 pint so she needs 32 containers

3 0

3 years ago

Which form most quickly reveals the vertex?

Jet001 [13]

Answer:

Step-by-step explanation:

A will give you the roots (the x intercepts) just by reading the numbers and doing a small adjustment.

x + 1 = 0

x = - 1 So one of the roots is (-1,0)

x + 5= 0

x = - 5 The other root is (-5,0)

A is not the answer.

I have graphed B so that you can see that A is true. See below, Even so, B is in standard form and it is not the answer.

The answer is C. The vertex is at 2,27

x - 2 = 0

x = 2

The maximum value is located at 27 which is just read.

That point (2,27) is plotted on the graph.

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2 years ago