Answer:
x=8
Step-by-step explanation:
1
(x+2)=
2
1
(x−4)
Use the distributive property to multiply
5
1
by x+2.
5
1
x+
5
1
×2=
2
1
(x−4)
Multiply
5
1
and 2 to get
5
2
.
5
1
x+
5
2
=
2
1
(x−4)
Use the distributive property to multiply
2
1
by x−4.
5
1
x+
5
2
=
2
1
x+
2
1
(−4)
Multiply
2
1
and −4 to get
2
−4
.
5
1
x+
5
2
=
2
1
x+
2
−4
Divide −4 by 2 to get −2.
5
1
x+
5
2
=
2
1
x−2
Subtract
2
1
x from both sides.
5
1
x+
5
2
−
2
1
x=−2
Combine
5
1
x and −
2
1
x to get −
10
3
x.
−
10
3
x+
5
2
=−2
Subtract
5
2
from both sides.
−
10
3
x=−2−
5
2
Convert −2 to fraction −
5
10
.
−
10
3
x=−
5
10
−
5
2
Since −
5
10
and
5
2
have the same denominator, subtract them by subtracting their numerators.
−
10
3
x=
5
−10−2
Subtract 2 from −10 to get −12.
−
10
3
x=−
5
12
Multiply both sides by −
3
10
, the reciprocal of −
10
3
.
x=−
5
12
(−
3
10
)
Multiply −
5
12
times −
3
10
by multiplying numerator times numerator and denominator times denominator.
x=
5×3
−12(−10)
Do the multiplications in the fraction
5×3
−12(−10)
.
x=
15
120
Divide 120 by 15 to get 8.
x=8
Answer: cos(54) because the cosine is = to the sine between two complementary angles and 36 + 54 = 90, which means they are complementary.
the average rate of change is 4/3
Explanation:
Function: f(x)=4/3x + 8
rewriting in the form of equation of line: y = mx + c
m = slope = rate of change
c = intercept
Comparing with the given function:
m = 4/3
c = 8
Hence, the average rate of change is 4/3
<span>A
ladder is leaned against a building. the bottom of the ladder is 11
feet from the building. the top of the ladder is 19 feet above the
ground.
a. what is the slope of the ladder?
slope = rise / run = height / base = 19 feet / 11 feet = 19 /11
b. what does the slope of the ladder mean in the real world?
The slope is the inclination of the ladder. The higher the slope the more leaned is the ladder.
c. if the ladder were set closer to the building, would it be harder or
easier to climb? explain in terms of the slope of the ladder.
if the ladder were closer to the building the base would be lower and the heigth would be higher, so the slope would be higher, which means that the ladder would be steeper, therefore harder to climb.
</span>