Answer:
vertex = (- 1, 1 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - 
y = x² + 2x + 2 ← is in standard form
with a = 1 and b = 2 , then
x = - 
= - 1
substitute x = - 1 into the equation for y- coordinate of vertex
y = (- 1)² + 2(- 1) + 2 = 1 - 2 + 2 = 1
vertex = (- 1, 1 )
Answer:
15 is 30% of 50
Step-by-step explanation:
We have, 30% × x = 15
Multiplying both sides by 100 and dividing both sides by 30,
we have x = 15 × 100/30
x = 50
If you are using a calculator, simply enter 15×100÷30, which will give you the answer.
Answer:
42-38
42 + (-38)
-38+42
Step-by-step explanation:
In all of these expressions, the 38 has to be negative because that is what you're taking away from the 48. When you have -(- it turns into a +.
In -42 + 38 the 42 is negative, but that is Emma's total amount so it's positive
With -42 -(-38) they did the just added those two together which would make the 42 still negative and the 38 positive.
THen with 42 + 38 the 38 is being subtracted from what she has so you would not add 38 to her total.
Answer:
The ratios are as follows for the given angle:
sineX=opposite/hypotenuse
cosineX=adjacent/hypotenuse
tangentX=opposite/adjacent
Insert the appropriate values for each:
7.) sinZ=24/40
8.) sinC=14/50
9.) cosZ=24/30
10.) tanC=27/36
11.) cosZ=12/15
12.) cosC=27/45
Answer:
50
Step-by-step explanation:
30 + 20 first you add 0 + 0 = 0 now you has 3 + 2 = 5 put them togeter 50
