Sorry for being late but it’s go up 1 and right 9. ( you can remember this in the way that 1 is going up and 9 is going right, if it’s negative it would be -1 going down and -9 going left) hope this helps!
Answer:
x = 15 degrees
Step-by-step explanation:
This is a right angle, since we know that a right angle contains 90 degrees, we can form an equation.
Now, we solve for x.
Answer:
A) (-8, -16)
B) (0, 48)
C) (-4, 0), (-12, 0)
Step-by-step explanation:
A) the vertex is the minimum y value.
extremes of a function we get by using the first derivation and solving it for y' = 0.
y = x² + 16x + 48
y' = 2x + 16 = 0
2x = -16
x = -8
so, the vertex is at x=-8.
the y value is (-8)² + 16(-8) + 48 = 64 - 128 + 48 = -16
B) is totally simple. it is f(0) or x=0. so, y is 48.
C) is the solution of the equation for y = 0.
the solution for such a quadratic equation is
x = (-b ± sqrt(b² - 4ac)) / (2a)
in our case here
a=1
b=16
c=48
x = (-16 ± sqrt(16² - 4×48)) / 2 = (-16 ± sqrt(256-192)) / 2 =
= (-16 ± sqrt(64)) / 2 = (-16 ± 8) / 2 = (-8 ± 4)
x1 = -8 + 4 = -4
x2 = -8 - 4 = -12
so the x- intercepts are (-4, 0), (-12, 0)
Answer:x = 6.5
Step-by-step explanation: Subtract 5 from both sides and you get 1/2x=13 then isolate the x by dividing both sides by 1/2 to get x=6.5.
In 1 millimeter, there are 0.00109361
So in 2 mm, there are 2 × 0.00109361 = 0.00218722 yards
or do proportions:
=
Cross multiply:
2 × 0.00109361 = y
0.00218711 = y
0.00218722 yards are in 2 millimeters.
