Answer:
y = 1/4x or y = 0.25x
Step-by-step explanation:
In this question, we are trying to write an equation with the given points.
To solve this question, we would use the slope formula: y2-y1/x2-x1
Find the slope by plugging in variables:
2-1/8-4
1/4 = m
The slope would be 1/4
Find the y intercept:
To find the y-intercept, you would need to use the slope you've found and one point, and plug it into the slope-intercept equation:
1 = 1/4(4) + b
Solve:
1 = 1/4(4) + b
1 = 1 + b
Subtract 1 from both sides
0 = b
This means that the y-intercept is 0.
Our equation will be: y = 1/4x
A
a and 143 are supplementary. So a + 143 = 180
a + 143 = 180 Subtract 143 from both sides.
a = 180 - 143
a = 37
B
b and 143 are vertically opposite angles and are equal
b = 143 degrees.
C
Interior angles on the same side of a transversal for parallel lines are supplementary
b + c = 180
143 + c = 180
c = 37
D
c + d + 85 = 180 degrees
37 + d + 85 = 180
d + 122 = 180
d = 180 - 122
d = 58
E
e = c They are vertically opposite.
e =37
F
All triangles have 180 degrees.
e + f + 90 = 180 degrees.
37 + f + 90 = 180
f + 127 = 180
f = 180 - 127
f = 53
G
G and 48 are opposite 2 equal sides. So G and 48 are equal
G = 48
H
h + 48 + 48 = 180
h + 96 = 180
h = 84
K
K and H are supplementary
K + H = 180
k + 84 = 180
k = 95
M
m+ k + d = 180
M + 95 + 58 = 180
M + 143 = 180
M = 37
P
the top angle is 2*m and 2m is bisected. You are using the m on the left.
P + 85 + M = 180
P + 85 + 37 = 180
P + 122 = 180
p = 180 - 122
p = 58
R
r + p are supplementary.
r + p = 180
r + 58 = 180
r = 180 - 58
r = 122
S
s + r + c + b = 360 All quadrilaterals have 360 degrees.
s + 122 + 37 + 143 = 360
s + 302= 360
s = 360 - 302
s = 58
Answer:
8000 liters
Step-by-step explanation:
There are 1000 liters in a kiloliter, so you would multiply both sides by 8.
30 divided by 7 is 4.2z
It snowed 4.2 inches per hour
Answer: See explanation
Step-by-step explanation:
The response variable is the variable that the researcher is interested in. It is what the experiment really focuses on.
An explanatory variable is the variable that is being manipulated by the researcher and it explains the variations that may occur to the response variable.
It should also be noted that it is important to distinguish between the response variable and the explanatory variable in a linear regression.
