Answer:
Step-by-step explanation:
(-5/2)²=25/4
Answer: C
<u>Step-by-step explanation:</u>
f(x) = x²
g(x) has the same vertex as f(x) but is wider so has a vertical stretch by a factor of (1/3).
g(x) = (1/3)x²
The equation in its standard form is written as followsax ^ 2 + bx + c = 0
To find the values of a, b, c we must compare the given equation with the standard equation. Comparing we have:
ax ^ 2 + bx + c = 0
1 / 4x ^ 2 + 5 = 0
Therefore the values of a, b, c are
a = 1/4
b = 0
c = 5
Answer:
He will wear a hat and jacket on the 12th day
Step-by-step explanation:
Answer:
m<SQP=124°
Step-by-step explanation:
Hi there!
We're given ΔQRS, the measure of <R (90°), and the measure of <S (34°)
we need to find m<SQP (given as x+72°)
exterior angle theorem is a theorem that states that an exterior angle (an angle on the OUTSIDE of a shape) is equal to the sum of the two remote interior angles (the angle OUTSIDE of a shape will be equal to the sum of 2 angles that are OPPOSITE to that angle).
that means that m<SQP=m<R+m<S (Exterior angle theorem)
substitute the known values into the equation
x+72°=90°+34° (substitution)
combine like terms on both sides
x+72°=124° (algebra)
subtract 72 from both sides
x=52° (algebra)
however, that's just the value of x. Because m<SQP is x+72°, add 52 and 72 together to get the value of m<SQP
m<SQP=x+72°=52°+72°=124° (substitution, algebra)
Hope this helps!
