Consider the line y=5x-3.
Find the equation of the line that is parallel to this line and passes through the point (2, -5).
Find the equation of the line that is perpendicular to this line and passes through the point (2, -5).

Answers

Answer 1

Answer:

y=5x-15, y=-1/5x-23/5

Step-by-step explanation:

Parallel lines have the same slope, so we know the line that is parallel to y=5x-3 must have slope 5.

We now have y=5x+b. We are given the point (2, -5) so substitute the x and y coordinates into the equation.

y=5x+b

-5=5(2)+b

-5=10+b

b=-15

So the equation of the parallel line is y=5x-15.

Perpendicular lines must have slopes that multiply to -1, so we know the line perpendicular to y=5x-3 must have slope -1/5.

We now have y=-1/5x+b. We are given the point (2, -5) so substitute the x and y coordinates into the equation.

y=-1/5x+b

-5=-1/5(2)+b

-5=-2/5+b

b=-23/5

So the equation of the perpendicular line is y=-1/5x-23/5.


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I need the answer ASAP

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the are is 14

brainliest??

Step-by-step explanation:

Answer:

48ft

Step-by-step explanation:

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a soup recipe calls for 1 1/2 quarts of vegetable broth and 3/4 quart of chicken broth. what is the total number of cups of chicen broth and befetable broth needed for yhe soup revipe?

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Answer:

2 3/4 - 1/2 = 2 6/8 - 4/8 = 2 2/8 = 2 1/4

Step-by-step explanation:

which of the following is a characteristic of the circumcenter of a triangle? multi-choice. A. it is the center of the only circle that can be inscribed in the triangle. , B. it is the center of the circle that can be inscribed in given a given triangle. C. it is the center of the only circle that can be circumscribed about the triangle. D. it is equidistant from all three sides of the triangle.

Answers

Answer:

C

Step-by-step explanation:

The circumcenter is called ”the circumcenter” because it is the center of the circle that ”circumscribes” the triangle.

I hope this helps!

Further explanation:

For a circle to circumscribe something, it circles it so that each of the vertices are on the circle, so each of the vertices are equidistant from the circumcenter. The circumcenter of a triangle is formed by the perpendicular bisectors of its sides.

Side note:

The rest of the choices describe an incenter.

Which math expression means "33 more than an unknown number"?
O A. 33. x
O B. X-33
O C. X+33
O D. X=33

Answers

C is the answer it’s supposed to be X+33

1- The Canada Urban Transit Association has reported that the average revenue per passenger trip during a given year was $1.55. If we assume a normal distribution and a standard deviation of 5 $0.20, what proportion of passenger trips produced a revenue of Source: American Public Transit Association, APTA 2009 Transit Fact Book, p. 35.
a. less than $1.55?
b. between $1.15 and $1.95? c. between $1.35 and $1.75? d. between $0.95 and $1.55?

Answers

Answer:

0.5

0.9545

0.68268

0.4986501

Step-by-step explanation:

The Canada Urban Transit Association has reported that the average revenue per passenger trip during a given year was $1.55. If we assume a normal distribution and a standard deviation of 5 $0.20, what proportion of passenger trips produced a revenue of Source: American Public Transit Association, APTA 2009 Transit Fact Book, p. 35.

a. less than $1.55?

b. between $1.15 and $1.95? c. between $1.35 and $1.75? d. between $0.95 and $1.55?

Given that :

Mean (m) = 1.55

Standard deviation (s) = 0.20

a. less than $1.55?

P(x < 1.55)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.55 - 1.55) / 0.20 = 0

p(Z < 0) = 0.5 ( Z probability calculator)

b. between $1.15 and $1.95?

P(x < 1.15)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.15 - 1.55) / 0.20 = - 2

p(Z < - 2) = 0.02275 ( Z probability calculator)

P(x < 1.95)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.95 - 1.55) / 0.20 = 2

p(Z < - 2) = 0.97725 ( Z probability calculator)

0.97725 - 0.02275 = 0.9545

c. between $1.35 and $1.75?

P(x < 1.35)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.35 - 1.55) / 0.20 = - 1

p(Z < - 2) = 0.15866 ( Z probability calculator)

P(x < 1.75)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.75 - 1.55) / 0.20 = 1

p(Z < - 2) = 0.84134 ( Z probability calculator)

0.84134 - 0.15866 = 0.68268

d. between $0.95 and $1.55?

P(x < 0.95)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (0.95 - 1.55) / 0.20 = - 3

p(Z < - 3) = 0.0013499 ( Z probability calculator)

P(x < 1.55)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.55 - 1.55) / 0.20 = 0

p(Z < 0) = 0.5 ( Z probability calculator)

0.5 - 0.0013499 = 0.4986501

What is 3×7×7×7×7 using index notation

Answers

Answer: 3 x 7^4

Because there's one 3 & four 7's .

Step-by-step explanation:

George is standing at the end of a 72 ft shadow cast by a tall building. The angle of elevation to the top of the tall building is . What is the height of the building?

Answers

Answer:

Errm please where is the angle of elevation

I think there should be an angle before we can find the height of the building

The height of the building is 44.91 feet

What are trigonometric identities?

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Given that George is standing at the end of a 72 ft shadow cast by a tall building. The angle of elevation to the top of the tall building is 34.

Therefore we have;

tan ° A = opposite / adjacent

° A = 31;

The adjacent (height) = 72 ft

Now replacing;

tan 34 ° = x / 72

x = tan 34 ° ( 72)

x = 44.91

Therefore, the height of the building is 44.91 feet

Learn more about trigonometric;

https://brainly.com/question/21286835

#SPJ2

Find x in the equation?

Answers

Its 9cm do not mind the K.E (top answer).

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Answers

Answer:

380

Step-by-step explanation:

as 1 block =19 houses

so 20 blocks*19= 380 houses

Answer: 380

Step-by-step explanation: 19 x 20 = 380

Which expression is equivalent to one over three p + 15?

one over three(p + 45)
one over three(p + 5)
3(p + 45)
3(p + 5)

Answers

Answer:

1/3p + 5

Step-by-step explanation:

1/3 of 15 is 5

If you think in terms of multiplication: 3 groups of 5 is 15 so 1 group of 15 would be 5

Answer:

a) 1/3 (p+45)

Step-by-step explanation:

that's the answer

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Answer:

Alternate Interior Angles

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

step 1:  find mean of 6 data values (should be 11/6)

step 2:  find the difference of the mean and each of the six data values

step 3: square each of those six differences

step 4:  find the mean of the squared values (should be 102/216)

step 5:  take the square root of 102/216

Answer:

0.6

Step-by-step explanation:

i just took the test

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O (A) 3 - 8i
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O (C)-5i
O (D) 13 + 61

Answers

Answer:

13 + 6i

Step-by-step explanation:

expand the brackets (basically drop them), then rearrange the numbers (8 + 5 + 7i - i) then you will get your answer.

-2.5(4w-4)= -6 and check​

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Answer:

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Step-by-step explanation:

Evaluate -5-15+4+15−5−15+4+15minus, 5, minus, 15, plus, 4, plus, 15.

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Answer:

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Step-by-step explanation:

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-1

Step-By step Explanation:

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Answer:

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Step-by-step explanation:

yeah no

have a good day!  :)

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yes

Step-by-step explanation:

i think,because it goes past the center it all

Write an equivalent expression. 2 + 4(c + 7)
A) 4c + 9
B) 30 + 4c
C) 6c + 9
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Answers

2 + 4 (c + 7)
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combine liked terms
4c + 30

Answer:
B) 30 + 4c

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

B

Step-by-step explanation:

u should go eat

Answer:

A)

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(fuctions only cross once)

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Answers

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Which of the three ordered pairs represent the
unit rate?
(1,4)
(3, 12)
(2,8)

Answers

Answer:

(1,4)

Step-by-step explanation:

That's the rate that each coordinate point goes up by as well as it's the first point in the table

Suppose that an individual has a body fat percentage of 12.7% and weighs 132 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.​

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Answer:

just go with your heart

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Answer:

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Step-by-step explanation:

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Answers

Answer:

19. books

Step-by-step explanation:

thats a lot

Answer:

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Step-by-step explanation:

4b-5=71

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O 2x + 5 y = -5
O 2x - 5 y = 30
O 5x + 2y = 4
O 5x-2y = 8

Answers

Answer:

the answer is

5x + 2y = 4

[tex]\sqrt{x + 12} = x+5[/tex]

Answers

We can solve the equation that has square root by completing the square (The purpose is to get rid of the square root.)

From [tex]\sqrt{x+12}=x+5[/tex]

Completing the square for both sides.

[tex](\sqrt{x+12})^2=(x+5)^2\\x+12=x^2+10x+25\\x^2+10x+25-x-12=0\\x^2+9x+13=0[/tex]

Because this polynomial cannot be factored. We have to use the Quadratic Formula to solve the equation.

[tex]x=-\frac{b±\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-9±\sqrt{9^2-4(1)(13)} }{2}\\x=\frac{-9±\sqrt{81-52} }{2}\\x=\frac{-9±\sqrt{29} }{2}[/tex]

But from the graph, the radical function graph doesn't intercept y = x+5 at (-9+√29)/2

Therefore, the answer is (-9-√29)/2

Also Ignore A' in the Quadratic Formula. It appears there whenever I want to put "plus-minus" symbol in the formula.

Identify proportional relationships
Does the following table show a proportional relationship between the variables g and h?
g
3
6
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36
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Answers

Answer:

sure easy man the carrot is blue and green and orange there naswer soled

I need help with this I’ll mark you as branliest

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Answer:

y=3x

Step-by-step explanation:

Answer:

im sure its y=3x

sophia used 1/10 of a liter of water to fill 1/4 of a fish aquarium. How much water, in liter is required to fill the aquarium?​

Answers

Answer:

4/10 of a liter

Step-by-step explanation:

if 1/10 of a liter fills 1/4 of the aqauium then your ratio is .1:.25 out of 100 so

100/25=4

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