30. Since he can ride the bike 6 miles in 20 mins, and 100 divided by 20 is 5, the answer would be given to you by multiplying 5x6, which is 30. So he can travel 30 miles in 100 minutes.
M < 2 and m < 6 are corresponding angles and are equal....so < 6 = 132.
< 6 and < 8 form a line and are equal to 180
< 6 + < 8 = 180
132 + < 8 = 180
< 8 = 180 - 132
< 8 = 48 <===
Answer:
C
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
y = 2x² + 12x + 1
To express in vertex form use the method of completing the square.
The coefficient of the x² term must be 1 , thus factor out 2 from 2x² + 12x
y = 2(x² + 6x) + 1
add/ subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9) + 1
= 2(x + 3)² - 18 + 1
= 2(x + 3)² - 17 → C
Answer:
$11
Step-by-step explanation:
Let Ben has b,
sean has s
alexis has a
samantha has s
Money.
We need to write the words into equations and solve as we can.
b + s + a + s = 47
b + s = 27
b + a = 25
b + s = 23
We need to find a.
Let's put 2nd equation in first, to get:
27 + a + s = 47
a + s = 20 ---------- 5th equation
Now let's solve 4th equation for b and put it into 3rd equation:
b + s = 23
b = 23 - s
Putting in 3rd equation:
23 - s + a = 25
a - s = 2 ---------------6th equation
Now, add up 5th and 6th equation to get a:
a + s = 20
a - s = 2
-------------
2a = 22
a = 22/2 = 11
Alexis got $11