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3 years ago

What is the length of the hypotonic the triangle ?

Mathematics

1 answer:

djverab [1.8K]3 years ago

4 0

Answer:

Step-by-step explanation:

Use the Pythagorean theorem:

$leg^2+leg^2=hypotenuse^2$

We have

$lef=12ft,\ leg=35ft,\ hypotenuse=AB$

Substitute:

$AB^2=12^2+35^2\\\\AB^2=144+1225\\\\AB^2=1369\to AB=\sqrt{1369}\\\\AB=37$

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Find an equation of the line through the given pair of points. (-7,-5) and (-1,-9) The equation of the line is (Simplify your an

Phantasy [73]

Answer:

The equation of the line is y = -2/3x - 29/3

Step-by-step explanation:

The slope of these points (-7,-5) and (-1,-9) is m = -2/3

Once you plug that into the y = mx + b equation, you can see that the y-intercept is -29/3.

Put all of that into the y = mx + b equation and you'll get --> y = -2/3x - 29/3

7 0

2 years ago

What is the answer to 2 3/8 ÷ 1 1/4

OLEGan [10]

$2\frac{3}{8}$ ÷ $1\frac{1}{4}$ equals $1\frac{9}{10}$ .

First, convert $2 \frac{3}{8}$ to improper fraction. Use this rule: $a \frac{b}{c}$ = $\frac{ac+b}{c}$ . Your problem should look like: $\frac{2x8+3}{8}$ ÷ $1\frac{1}{4}$ .
Second, simplify 2 x 8 to get 16. Your problem should look like: $\frac{16+3}{8}$ ÷ $1 \frac{1}{4}$ .
Third, simplify 16 + 3 to get 19. Your problem should look like: $\frac{19}{8}$ ÷ $1 \frac{1}{4}$ .
Fourth, convert $1\frac{1}{4}$ to improper fraction. Use the same rule as earlier. Your problem should look like: $\frac{19}{8}$ ÷ $\frac{4+1}{4}$ .
Fifth, simplify 4 + 1 to get 5. Your problem should look like: $\frac{19}{8}$ ÷ $\frac{5}{4}$ .
Sixth, apply this rule: a ÷ $\frac{b}{c}$ = a × $\frac{c}{b}$ . Your problem should look like: $\frac{19}{8}$ × $\frac{4}{5}$ .
Seventh, apply this rule: $\frac{a}{b}$ × $\frac{c}{d}$ = $\frac{ac}{bd}$ . Your problem should look like: $\frac{19x4}{8x5}$ .
Eighth, simplify 19 × 4 to get 76. Your problem should look like: $\frac{76}{8x5}$ .
Ninth, simplify 8 × 5 to get 40. Your problem should look like: $\frac{76}{40}$ .
Tenth, simplify. Your problem should look like: $\frac{19}{10}$ .
Eleventh, convert to mixed fraction. Your problem should look like: $1 \frac{9}{10}$ which is the answer.

Answer as mixed number form: $1\frac{9}{10}$ .
Answer as exact form: $\frac{19}{10}$ .
Answer as decimal form: 1.9.

7 0

2 years ago

Read 2 more answers

Pls help lol !!! i am unsure about this

Alex

The component form of the vectors shown is (-6, -5)

<h3>Difference of vectors</h3>

In order to determine the component of the vectors shown, we will subtract the coordinate points from both each other.

Given the vector coordinates on the line. as (-5, -3) and (1, 2). Take the difference;

Difference = [(-5-1), (-3-2])

Difference = (-6, -5)

Hence the component form of the vectors shown is (-6, -5)