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3 years ago

If f(x)=-3x+6, what is the value of f(-3)?

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

4 0

The answer would be f(x)= 15

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((x-h)^2)+((y-k)^2)

Schach [20]

Answer:

Step-by-step explanation:

= (x^2 + h^2 - 2xh) + (y^2 + k^2 - 2yk) As, (a-b)^2 = a^2 + b^2 - 2ab

= x^2 + h^2 - 2xh + y^2 + k^2 - 2yk

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3 years ago

How much fabric is needed to make a tent in the shape of a triangular prism with the following measures?

marshall27 [118]

Answer:

C) 273 ft²

Step-by-step explanation:

7x11x3=231

2x1/2x7x6=42

231+42=273

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2 years ago

Why is it important to be able to decide if an item is a NEED or a WANT?

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

because it is very much important to first use your money on needs because you're basically cannot live without Me by and then you can spoil yourself by getting wants

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2 years ago

Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If BC=10BC=10 and DC=5,DC=5, what is the le

Helen [10]

Answer: $\overline{AC}=$ 12.5

Step-by-step explanation: The triangle ABC and its altitude $\overline{BD}$ is represented in the figure below.

<u>Altitude</u> is a segment of line that link a vertex and the opposite side, forming a right angle.

So, because of $\overline{BD}$ , now we have two similar triangles, which means that ratios of corresponding sides are equal:

$\frac{\overline{BD}}{\overline{BC}} =\frac{\overline{AD}}{\overline{BD}}$

$\overline{BD}^{2}=\overline{BC}.\overline{AD}$ (1)

This is always true for a right triangle and a altitude drawn to the hypotenuse.

Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.

$\overline{BC}^{2}=\overline{CD}^{2}+\overline{BD}^{2}$

$\overline{BD}^{2}=\overline{BC}^{2}-\overline{CD}^{2}$ (2)

Substituting (2) into (1):

$\overline{BC}^{2}-\overline{CD}^{2}=\overline{BC}.\overline{AD}$

We want to find f, so:

$\overline{AD}=\frac{\overline{BC}^{2}-\overline{CD}^{2}}{\overline{BC}}$

$f=\frac{10^{2}-5^{2}}{10}$

f = 7.5

The length of $\overline{AC}$ is

$\overline{AC}=f+5$

$\overline{AC}=7.5+5$

$\overline{AC}=12.5$

The length of the hypotenuse of triangle ABC is 12.5 units.

5 0

2 years ago

Read 2 more answers

The diagonal of a rectangle is 25 inch. the width is 15 in. what is the area of the rectangle?

givi [52]

D= diagonal= 25 in
w= 15 in

A= w√(d^2﹣w^2)

A= (15)√(25^2 - 15^2)
square in parentheses

A= (15)√(625 - 225)
subtract in parentheses

A= (15)√(400)
take square root of 400

A= (15)(20)

A= 300 in^2

ANSWER: The area is 300 inches squared

Hope this helps! :)

6 0

3 years ago