Answer:
y = ¾x
Step-by-step explanation:
y = mx + b, where
m = slope and
b = y-intercept
If slope = ¾ and y-intercept =0, the equation is
y = ¾x
Answer:
The length and width are 11ft and 5ft respectively
Step-by-step explanation:
let the
length = L
Width = W
Area = LW = 55
The length is nine feet less than four times the width
L = 4W - 9
W (4W - 9) = 55
4W^2 - 9W -55 = 0
4W^2 - 20W + 11W - 55 = 0
4W(W - 5) + 11(W - 5) = 0
(W - 5)(4W + 11) = 0
W - 5 = 0 , 4W + 11=0
W = 5 or - 11/4
since the width cannot be negative, W = 5
LW = 55
L = 55/5
L = 11
The length and width are 11ft and 5ft respectively.
Answer:
S = 13 - x
T = (18 + x) / 2
Step-by-step explanation:
S = 18
T= 18
Sue gives away x, so subtract it from 18. But Tony gets x, so add it to 18 in his expression.
S = 18 - x
T= 18 + x
Sue eats 5 so subtract 5 from her expression. Tony eats half, so divide his expression by 2.
S = 18 - x - 5
T = 18 + x / 2
Simplify 18-5.
S = 13 - x
T = (18 + x) / 2
Answer:
Option A)

Step-by-step explanation:
We are given the following in the question:
Roots of quadratic equation are:

The sum of the roots and the product of the roots can be calculated as:

Standard form of quadratic equation:

Putting values, we get,

is the required quadratic equation.
Thus, the correct answer is
Option A)


r=0.25 miles
l=2×

×0.25
=0.5 × 3.14
=1.57
120(minutes)÷2(miles)=60(minutes per mile)
60×1.57=94.2 minutes