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Luda [366]
3 years ago
11

Write an equation for a line g(x) perpendicular to f(x) = 4x − 5 and passing through the point (4, 20). plz.....

Mathematics
1 answer:
cluponka [151]3 years ago
4 0
The slopes of perpendicular lines are negative reciprocals.The slope of the given line is 4.The slope of the perpendicular is -1/4.
Now we need to find the equation of a line that has slope -1/4 and passes through the point (4, 20).
We use the point-slope form of the equation of a line, where m = slope, and the point is (x1, y1).
y - y1 = m(x - x1)
y - 20 = -1/4(x - 4)
-4y + 80 = x - 4
x + 4y = 84
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Describe the resulting effects on the parallel bases of a trapezoid after reflecting it across
Margarita [4]

Answer:

D. The parallel bases remains parallel

Step-by-step explanation:

Reflection is an example of solid transformation in which an object is turned about a line or point to produce its image. Though the initial orientation of the given object changes, but its shape and size is preserved.

A trapezoid is a quadrilateral. If it undergo reflection across the x-axis, then y-axis; its parallel bases would remain parallel. Though the initial orientation of the trapezoid would have changed.

5 0
3 years ago
An equation for the depreciation of a car is given by y=A(1-r)t where y=current value of the car.A=original cost r=rate of depre
Ann [662]
<h3>Answer: Approximately 6.58 years old</h3>

The more accurate value is 6.57881347896059, which you can round however you need. I picked two decimal places.

==================================================

Explanation:

Let's pick a starting value of the car. It doesn't matter what the starting value, but it might help make the problem easier. Let's say A = 1000. Half of that is 1000/2 = 500.

So we want to find out how long it takes for the car's value to go from $1000 to $500 if it depreciates 10% per year.

The value of r is r = 0.10 as its the decimal form of 10%

t is the unknown number of years we want to solve for

---------------------------

y = A(1 - r)^t

500 = 1000(1 - 0.1)^t

500 = 1000(0.9)^t

1000(0.9)^t = 500

0.9^t = 500/1000

0.9^t = 0.5

log( 0.9^t ) = log( 0.5 )

t*log( 0.9 ) = log( 0.5 )

t = log( 0.5 )/log( 0.9 )

t = 6.57881347896059

Note the use of logs to help us isolate the exponent.

6 0
3 years ago
G(x) = x + 4 and h(x) = x2-3<br> g[h(x)] =<br> O x + 1<br> 0x2+3<br> 0x²+1<br> Ox2 + 8x + 19
timama [110]

Answer:

8

Step-by-step explanation:

7 0
3 years ago
What percent of 1600 is 2?
Misha Larkins [42]

Answer: 0.125%

Step-by-step explanation:

Let 1600 corresponds to the 100% value and 2 is a part of the total 100% value 1600.

The formula to find the percent of a part :_

\%=\dfrac{\text{Part}}{\text{Total}}\times100

Substitute Part= 2 and Total = 1600 in the formula, we get :-

\%=\dfrac{2}{1600}\times100\\\\\Rightarrow\ \%=\dfrac{1}{8}\%=0.125\%

Therefore, 2 is 0.125% of 1600.

Hence, the percent of 1600 is 2 = 0.125%

3 0
3 years ago
What is the value of X?
IrinaK [193]
X=54

Hope this helps!

5 0
3 years ago
Read 2 more answers
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