Answer:
The vertex would be D) (-2, -32)
Step-by-step explanation:
To find the vertex , start by find the x-value. For this we can use the equation below.
x = -b/2a
In which a is the coefficient of x^2 and b is the coefficient of x.
x = -b/2a
x = -(8)/2(2)
x = -8/4
x = -2
Now that we have x, we find y by plugging -2 in for each x.
y = 2x^2 + 8x - 24
y = 2(-2)^2 + 8(-2) - 24
y = 2(4) - 16 - 24
y = 8 - 16 - 24
y = -32
Answer:
A. 23+x=140
Step-by-step explanation:
The angle addition postulate states that the measure of a larger angle formed by two or more smaller angles placed side by side is the the sum of the smaller angles. The angle addition postulate states that if B is in the interior of AOC , then:
m∠AOB + m∠BOC = m∠AOC.
From the image:
∠NOP = ∠NOQ + ∠QOP
∠NOP = 140, ∠NOQ = x, ∠QOP = 23
substituting:
140 = x + 23
x = 140 - 23 = 117
∠NOQ = 117°
Answer:
The answer is c
Step-by-step explanation:
Well, since the Circle is 8cm you can divide the circle by two to get 4
Answer:
Right a ratio with three terms in simplest form we've already looked at writing ratios with two terms in simplest form to do that we would change the ratio to a fraction and reduce.
Answer:
5 km
Step-by-step explanation:
We are given the distances walked by Maria;
We are required to determine the displacement from her starting point;
- We are going to use Pythagoras's theorem;
a² + b² = c²
Taking, the distances towards south and towards west as the legs of the triangle;
Then, c² = 3² + 4²
= 25
c = √25
= 5 km
Therefore, the displacement from the starting point is 5 km
