Answer:
The correct option is A
A) y = (1/5)x + 6
Step-by-step explanation:
The equation of the first cut shown in the graph is:
y = (1/5)x - 1
We know that a general form of linear equation is given as:
y = mx + c
Comparing both equations, we get that the slope m = 1/5
As the second cut is parallel to the first cut, it will have the same slope, that is m = 1/5
Substitute it in the general linear equation
y = mx + c
y = (1/5)x + c
We know that this equation passes through the point (0,6), substitute it in the above equation>
6 = (1/5)(0) + c
c = 6
The equation for second cut be found by using m = 1/5 and c = 6
y = mx + c
y = (1/5)x + 6
The measurement of angle x is 52° and y is 38°
Step-by-step explanation:
Let us define supplementary and complementary angles first.
Supplementary angles is pair of angles whose sum is 180°
While complementary angles sum up to 90°
Given
That x and y are complementary and x is supplementary to 128.
This means that sum of x and 128 is 180°
So,

So,
x = 52°
It is also given that x and y are complementary which means that

Hence,
The measurement of angle x is 52° and y is 38°
Keywords: Supplementary angles, complementary angles
Learn more about angles at:
#LearnwithBrainly
s
:
y
=
−
3
7
x
+
31
7
Explanation:
We take the line above in the form
r
:
y
=
a
x
+
b
We know that any parallel is
s
:
y
=
a
x
+
c
We choose
(
−
6
,
7
)
∈
s
7
y
=
3
−
3
x
⇒
r
:
y
=
−
3
7
x
+
3
7
s
:
7
=
−
3
7
(
−
6
)
+
c
49
=
18
+
7
c
⇒
c
=
31
7
hope this Help :)
Answer:
f(x) = 4x³+16x²+4x-24
Step-by-step explanation:
Factors are (x+3)(x+2)(x-1)
(x+3)(x²+2x-x-2)
(x+3)(x²+x-2)
x³+x²-2x+3x²+3x-6
x³+4x²+x-6
This could have been the function but the intetcept is 6 here.
So we'll take a miltiple of this one such that the intercept becomes-24
-24/-6 = 4
That multiple is 4
f(x) = 4(x³+4x²+x-6)
f(x) = 4x³+16x²+4x-24