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valentinak56 [21]
3 years ago
8

Candidate A received 15,000 fewer votes than

Mathematics
1 answer:
marissa [1.9K]3 years ago
4 0

Answer:

140,000 that is your answer

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Find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3). express answer in standard form
Anestetic [448]

Answer:

Final answer is x-6y=23

Step-by-step explanation:

We need to find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3).

So first we need to find the slope of given line.

rewirite x=6y-5 in y=mx+b form

x+5=6y

\frac{1}{6}x+\frac{5}{6}=y

Compare given equation with y=mx+b

we get: m=1/6

We know that parallel equations has equal slope.

Then slope of required line m=1/6

Now plug the given point (5,-3) and slope m=1/6 into point slope formula:

y-y_1=m\left(x-x_1\right)

y-(-3)=\frac{1}{6}\left(x-5\right)

y+3=\frac{1}{6}x-\frac{5}{6}

y=\frac{1}{6}x-\frac{5}{6}-3

y=\frac{1}{6}x-\frac{23}{6}

Now we need to rewrite that equation in standard form. Ax+By=C.

6y=x-23

x-23=6y

x-6y=23

Hence final answer is x-6y=23

6 0
3 years ago
Proper angle for a ladder is about 75° from the ground. Suppose you have a 10 foot ladder. How far from the house should you pla
Alja [10]

Answer:

The base of the ladder is 2.58 m.

Step-by-step explanation:

Given that,

The angle of elevation for a ladder from the ground is 75°.

The length of a ladder, H = 10 foot

We need to find the distance from the house should you place the base of the latter. Let the base of the ladder is b. Using trigonometry,

\cos\theta=\dfrac{B}{H}\\\\B=H\times \cos\theta\\\\B=10\times \cos(75)\\\\B=2.58\ m

So, the base of the ladder is 2.58 m.

8 0
3 years ago
The value of a small airplane depreciates exponentially every year after it is purchased. The value, in thousands of dollars, a(
ratelena [41]

Using an exponential function, it is found that the number 131.5 represents the initial value of the plane, in thousands of dollars.

<h3>Exponential function:</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

In this problem, the function for the value of the airplane after t years is given by:

A(t) = 131.5(0.8)^t

Hence A(0) = 131.5, which means that the number 131.5 represents the initial value of the plane, in thousands of dollars.

To learn more about exponential functions, you can take a look at brainly.com/question/8935549

4 0
2 years ago
Read 2 more answers
Find the number of sides when:
svp [43]
((n-2)×180)/n = 156
(n-2)×180=156n
24n =360
n =15

360/n =36
n = 10

a)15 b)10
7 0
3 years ago
Which triangles are similar to triangle ABCABCA, B, C? Choose 1 answer: Choose 1 answer: (Choice A) A DEFDEFD, E, F (Choice B) B
Karolina [17]

Answer:

Triangle ABCABCA, B, C the option C is correct.

Step-by-step explanation:

As in the triangle ABCABCA, B, C

the given Choice A is DEFDEFD, E, F, and Choice B is GHIGHIG, H, I is in the same sequence as ABCABCA, B, C so option C is correct.

4 0
3 years ago
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