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Alik [6]
3 years ago
8

What is the length of the hypotenuse of the triangle below?

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
4 0

Answer:

D

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square oh the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

h² = (9\sqrt{2} )² + (9\sqrt{2} )² = 162 + 162 = 324 ( take the square root of both sides )

h = \sqrt{324} = 18 → D

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When evaluating (6.28 x 10^12) over (3.14x10 ^ 4), what will be the exponent of 10 in the quotient?
SIZIF [17.4K]
When ur dividing with exponents, u subtract the exponents

10^12 / 10^4 = 10^(12 - 4) = 10^8 <== ur exponent is 8
3 0
3 years ago
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Let f(x)=−12(x+2)2+5 . What is the average rate of change for the quadratic function from x=−3 to x = 1?
aev [14]

Answer:

Average rate of change = -6

Step-by-step explanation:

The average rate of change over the interval (a,b) is given by;

[ f(b) - f(a)] / (b-a)........................where interval is (a,b)

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Where;

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f(a)=f(-3)=-12(-3+2)^2+5\\f(a)=f(-3)=-12(-1)^2+5\\f(a)=f(-3)=-12(1)+5\\=-12+5=-7\\\\\\f(b)=f(1)=-12(1+2)+5\\f(b)=f(1)=-12(3)+5\\=-36+5=-31\\\\f(b)-f(a)=-31--7=-24\\\\b-a=1--3=4\\\\f(b)-f(a)/b-a=\frac{-24}{4} =-6

5 0
3 years ago
Given: angle 1 and angle 2 form a linear pair,
iris [78.8K]

Answer:

Look at the proof down

Step-by-step explanation:

The given is;

→ ∠1 and ∠2 form a linear pair

→ ∠1 ≅ ∠3

We want to prove;

→ ∠2 and ∠3 are supplementary

<em>We will write the proof in like a table</em>

1. ∠1 and ∠2 formed a linear pair  ⇒  1. Given

2. m∠1 + m∠2 = 180°  ⇒ 2. Sum of angles on a straight line

3. ∠1 and ∠2 are supplementary angles  ⇒  3. Supplementary angles add up to 180°

4. ∠1 ≅ ∠3  ⇒  4. Given

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6. ∠3 is a supplement of ∠2  ⇒  6. Supplement of equal angles

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8 0
4 years ago
Plz help!............
prisoha [69]

Answer:

C

Step-by-step explanation:

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7 0
3 years ago
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Solve for the m in the equation
velikii [3]

Answer:

m = 15

Step-by-step explanation:

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m + 6 =21

Subtract 6 from both sides.

m = 21 - 6

Subtract 6 from 21 to get 15.

m=15

5 0
3 years ago
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