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ArbitrLikvidat [17]
2 years ago
12

PLEASE HELP ME, ILL GIVE BRAINLIEST AND 50 POINTS

Mathematics
2 answers:
erma4kov [3.2K]2 years ago
8 0

Answer:

h=8

Step-by-step explanation:

a²+b²=c²

a=A

b=12

c=13

therefore substitute

A²+(12)²=(13)²

A²=13²-12²

A²=25

A=5

h=3+A

h=3+5

h=8

skad [1K]2 years ago
5 0

Answer:

8 ft

Step-by-step explanation:

since it is a right angled triangle and you have 2 side lengths, we use the pythagoras theorem here.

a² + b² = c²

the c² is always your hypotenuse (longest side of the triangle, also opposite to the right angles)

*the b and a doesnt matter which order you put it in*

so; (sub in the numbers to the formula)

a² + 12² = 13²

(rearrange - like terms together)

a² = 13² - 12²

(calculate it)

a² = 25

(simplify it - get rid of the ² on the a)

a = √25

(solve)

a = 5

so, we know that a = 5 and we know that we have an additional 3

5 + 3 = 8

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nexus9112 [7]

<u>Answer:</u>

The equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

<u>Solution:</u>

Given, line equation is y = x – 1 ⇒ x – y – 1 = 0. And a point is (-3, -2)

We have to find the line equation which is perpendicular to above given line and passing through the given point.

Now, let us find the slope of the given line equation.

\text { Slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-1}{-1}=1

We know that, <em>product of slopes of perpendicular lines is -1. </em>

So, 1 \times slope of perpendicular line =  -1

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Now let us write point slope form for our required line.

\mathrm{y}-\mathrm{y}_{1}=\mathrm{m}\left(\mathrm{x}-\mathrm{x}_{1}\right)

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y + 2 = -x – 3

x + y + 2 + 3 = 0

x + y + 5 = 0

y = -x -5

Hence the equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

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