Answer:
-5
Step-by-step explanation:
H is the value that is being added or subtracted from x in the equation
f(x)=a(x-h)^2 +k
Answer:
b
Step-by-step explanation:
Answer:
D.) 11.8 cm
Step-by-step explanation:
The short side has length ...
5·sin(30°) = 2.5
The long side has length ...
5·cos(30°) ≈ 4.33
The sum of all side lengths is ...
5 + 2.5 + 4.33 = 11.83 . . . . cm
The perimeter is about 11.8 cm.
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The mnemonic SOH CAH TOA can help you remember the relationship between trig functions and side lengths:
Sin = Opposite/Hypotenuse ⇒ Opposite = Hypotenuse × Sin
Cos = Adjacent/Hypotenuse ⇒ Adjacent = Hypotenuse × Cos
-4 | x + 5 | = -16...divide both sides by -4, eliminating it on the left side
| x + 5 | = -16/-4
| x + 5 | = 4
x + 5 = 4 -(x + 5) = 4
x = 4 - 5 -x - 5 = 4
x = -1 -x = 4 + 5
-x = 9
x = -9
solutions : x = -1 , x = -9
Answer:
Priya's age = 15
Amirah's age = 19
Shirley's age = 13
Step-by-step explanation:
Let x be the age of Priya.
According to the question,
Amirah's age = x + 4
Shirley's age = x - 2
Their sum is 47.
So,
x + 4 + x + x - 2 = 47
3x + 2 = 47
3x = 47 - 2
3x = 45
x = 45/3
x = 15
So,
Priya's age = 15
Amirah's age = 15 + 4 = 19
Shirley's age = 15 - 2 = 13