Figure ABCD is a parallelogram with point C (3, −2). Figure ABCD is rotated 90° clockwise to form figure A′B′C′D′. What coordinate would be the output for point C'? (5 points)A.C' (2, −3)
B.C' (−2, −3)
C.C' (−2, 3)
D.C' (2, 3)
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What is the factored form of the polynomial?x2 + 9x +20 (x − 4)(x − 5) (x − 2)(x − 10) (x + 4)(x + 5) (x + 2)(x + 10)
X2-8X+16=1
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C is the length of the ladder, and we are given one of the sides, let's call that side b
_________
we have a^2 + b^2 = c^2, and a^2 = c^2 - b^2, so a = √ c^2 - b^2
_________ ______ ____
a = √12^2-3^2 = √ 144-9 = √ 135 = 11.61895
so the top of the ladder is 11.6 feet above the ground
You know the length of the hypotenuse (this is 12 feet, the length of the ladder, which is C), you also know A, 3 feet from the side of the house.
So we have to plug into the formula what we know 3^2 + B^2 = 12^2, or 9 + B^2 = 144. By rearranging the formula you get 144 - 9 = B^2. Once you solve for B^2 you can take the square root to get B. (It's 11.6!)
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Hello!
Answer:
Step-by-step explanation:
→ We want to find if the expression (xy)² is equal to x²y².
→ Let's simplify the expression:
→ We know that is equal to
.
In our expression:
→ So the expression is equal to:
Conclusion:
The expression (xy)² is equal to x²y².
So the answer is true.
Answer:
True
Step-by-step explanation:
(xy)²
= xy × xy
= x × x × y × y
= x² × y²
= x²y² ← True
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Sin x = 12/18.6
Sinx ≈ 0.6452
x ≈ Sin⁻¹(0.6452). Use a calculator.
x ≈ 40.18°
x ≈ 40.2°
Second option.
The measure of the angle x is 40.2 degrees after applying the sin ratio option second 40.2° is correct.
What is trigonometry?
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a right-angle triangle shown in the picture.
From the sin ratio:
sinx = side opposite to angle/hypotenuse
sinx = 12/18.6 = 0.645
x = sin⁻¹(0.645)
x = 40.17≈ = 40.2 degrees
Thus, the measure of the angle x is 40.2 degrees after applying the sin ratio option second 40.2° is correct.
Learn more about trigonometry here:
#SPJ5
16.3 – (–4.2) + 15.9
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16.3 - (-4.2) = 20.5 because a two subtraction sign will cancel out and become positive.
So 20.5 + 15.9 = 36.4
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Answer:
x>-1
Step-by-step explanation:
solve this normally like a linear equation
3x + 1 >x-1
collect like terms
3x-x>-1-1
2x>-2
x>-2/2
x>-1