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2 years ago

9

You leave your house and drive 7 miles north, then turn left and drive 24 miles west. How far are you from your house?

1 answer:

raketka [301]2 years ago

3 0

Answer:
25 miles

Explanation:
We can use Pythagoras’ theorem for this

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please answer the question on the screenshot below, also please explain to me how you got your answer.

frutty [35]

QUESTION 1

The given functions are;

$f(x)=5x^2-2x$ and $g(x)=5x^2+x-4$

$(f+g)(x)=f(x)+g(x)$

$(f+g)(x)=5x^2-2x+3x^2+x-4$

We regroup like terms to obtain;

$(f+g)(x)=5x^2+3x^2-2x+x-4$

This simplifies to;

$(f+g)(x)=8x^2-x-4$

The correct answer is A.

QUESTION 2

The given functions are;

$f(x)=3x^2+5$ and $g(x)=x-2$ .

$(fg)(x)=(f(x))(g(x))$

This implies that;

$(fg)(x)=(3x^2+5)(x-2)$

$\Rightarrow (fg)(x)=3x^3-6x^2+5x-10$

The correct answer is B.

QUESTION 3

The given functions are

$f(x)=3x^2+10x-8$ and $g(x)=3x^2-2x$ .

$(\frac{f}{g})(x)=\frac{f(x)}{g(x)}$

$(\frac{f}{g})(x)=\frac{3x^2+10x-8}{3x^2-2x},x\ne0,\frac{2}{3}$

We factor to obtain;

$(\frac{f}{g})(x)=\frac{(x+4)(3x-2)}{x(3x-2)},x\ne0,\frac{2}{3}$

We cancel the common factors to obtain;

$(\frac{f}{g})(x)=\frac{x+4}{x},x\ne0,\frac{2}{3}$

The correct answer is A.

5 0

4 years ago

If 1/8(8x+15)24, what is the value of x?

Lelechka [254]

Answer:

$x=22.125$ or $x=\frac{177}{8}$

Step-by-step explanation:

<u><em>The correct equation is</em></u>

$1/8(8x+15)=24$

solve for x

Multiply by 8 both sides to remove the fraction

$(8x+15)=192$

subtract 15 both sides

$8x=192-15\\8x=177$

divide by 8 both sides

$x=\frac{177}{8}$

$x=22.125$

3 0

3 years ago

What is 5 1/8 divided 7/8

garik1379 [7]

0.0915178...........

8 0

3 years ago

Help me out please?<br>chapter : exponents and powers

belka [17]

Answer:

$\frac{125}{27}$

Step-by-step explanation:

$\frac{2^{-4} \times 15^{-3} \times 625}{5^2 \times 10^{-4}}$

Lets expand all the composite numbers into prime numbers.

$=> \frac{2^{-4} \times (3^{-3} \times 5^{-3}) \times 5^4}{5^2 \times (2^{-4} \times 5^{-4})}$

Lets cancel $2^{-4}$ from numerator and denominator.

$=> \frac{3^{-3} \times 5^{-3} \times 5^4}{5^2 \times 5^{-4}}$

Using laws of exponents , lets solve this.

$=> \frac{3^{-3} \times 5^{(-3 + 4)}}{5^{( 2 - 4)}}$

$=> \frac{3^{-3} \times 5^{1}}{5^{-2}}$

$=> 3^{-3} \times 5^{[1 - (-2)]}$

$=> 3^{-3} \times 5^{3}$

$=> \frac{5^3}{3^3} = \frac{125}{27}$

4 0

3 years ago

Read 2 more answers

What is 14.62 to the nearest whole number

alexandr1967 [171]

Because the decimal is over 40 the answer is 15

6 0

3 years ago

Read 2 more answers