Answer:
G
Step-by-step explanation:
vertex formula = a(x-h)^2 + k
vertex is (h, k) so (-1, -4) means
y = a(x+1)^2-4
passes through (1, 8) so when x = 1 and y = 8
8 = a(1+1)^2-4 = 4a - 4
4a = 4
a = 1
Answer:
Answer = 140
Step-by-step explanation:
360 = 9x + 14x + 4x + 90
360 - 90 = 27x
270 = 27x
x = 270 / 27
x = 10
14 x 10 Angle F
Measure of angle F = 140
Step-by-step explanation:
1 km = 1000 m
(hence the term "kilo" which means 1000).
so. he runs 1000 m at the rate of 3 minutes per km, that means 3 minutes per 1000 m.
now, we can see the solution already with our eyes.
but let's do it formally :
the rate or ratio between time and distance must be the same for the same speed.
so,
3 min / 1000 m = x min / 500 m
500 m × 3 min / 1000 m = x min
1/2 × 3 min = x min
3/2 = 1.5 min = x min
so, it takes him 1.5 minutes (90 seconds) to run 500 m.
Answer:
tan θ = 
Step-by-step explanation:
We are given that cot θ = 1.5 and cotangent is the cofunction of tangent.
cot θ = 
tan θ = 
We can find the answer to tan θ by taking the reciprocal of the answer to cot θ.
cot θ = 1.5
Then, tan θ =
Step-by-step explanation:
it is a linear function, if the change in y is constant in relation to the changes of x.
in other words, if the slope y change/x change is the same for every point.
when we look at the table, we see x changes constantly by +2.
and y changes constantly by -6.
so, the change rate/slope is constantly -6/2 = -3.
and therefore it is a linear function.
the equation looks like (the slope is always the factor of x)
y = -3x + b
b we get by using one of the x,y pairs like 1,4
4 = -3×1 + b = -3 + b
b = 7
so, the full equation is
y = -3x + 7
