write an equation of a line perpendicular to the line 1/2x - 5 , passing through the point (-1 , 7)

Answers

Answer 1
Answer ↓

y=-2x+5

Calculations ↓

First of all we need to determine the slope of the line perpendicular to y = 1/2x - 5 .

The slopes of perpendicular lines are opposite reciprocals.

So we take 1/2 , turn it over , and change it's sign :

[tex]^1/_2\:\:\:--- > ^2/_1\:\:\:--- > 2\:\:\:--- > -2[/tex]

The slope of the line perpendicular to y = 1/2x-5 is -2 .

Since we're also given a point that the line crosses , we can write the line's equation in point - slope form :

y-y₁=m(x-x₁)

y-7=-2(x-(-1)

y-7=-2(x+1)

Now convert to slope intercept :

y-7=-2x-2

add 7 on both sides :

y = -2x+5

[tex]\footnotesize\text{hope\:helpful}[/tex]


Related Questions

Walmart sells birthday cakes for. $18. After 3 days,they markdown the cakes by 45% . What is the discounted price after 3 days has passed?

Answers

If Walmart sells cake 10 dollars


What are a) the ratio of the perimeters and b) the ratio of the areas of the larger figure to the
smaller figure? The figures are not drawn to scale

Answers

keeping in mind that the ratio of the sides is the same as the ratio of the perimeters, Check the picture below.

a
4) The function P= 95 - 30 log 2 x models
the percentage, P, of students who could
recall important features of a classroom
lecture as a function of time, where x
represents the number of days that has
elapsed since the lecture was given.
a) After how many days do only half of
the students recall important features of
the classroom lecture? (P=50)
b) After how many days have ALL
students forgotten the important features
of a classroom lecture? (P = 0)

Answers

Answer:Assuming x is an odd number, the expression for three consecutive odd numbers would be x+x+2+x+4, which simplifies to 3x+6.ep-by-step explanation:

PLEASEEEE HELP MEEE
Matching equations with diagrams & finding unknown ancies
is on line WY. Find the value of b.
Which equation(s) and angemeurerents go with the
diagram. Choose ALL that apply
(Select all that apply.)


Answers

the 1st , 3rd , 5th and 6th apply

Find the surface area of the cylinder. Type an exact answer in terms of pi.

Answers

Answer:

154π cm²

Step-by-step explanation:

Radius (r) = 7 cm

Height (h) = 4 cm

Surface area of cylinder

= 2πr (h + r)

= 2π (7) (4 + 7)

= 2π (7) (11)

= 2π (77)

= 154π cm²

______

Hope it helps ⚜

Answer:

154π cm²

Step-by-step explanation:

Formula for the Surface Area of a Cylinder

SA = 2πr (h + r)

Solving

Here r = 7 cm and h = 4 cmSA = 2πr (h + r)SA = 2π × 7 (7 + 4)SA = 14π × 11SA = 154π cm²

I will mark brainiest

Answers

b is correct !! :) good luck on whatever youre doing ^-^

helppp meee please eee

Answers

Answer:

C ≈ 25.1 yd

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = 2πr ( r is the radius ) , then

C = 2π × 4 = 8π ≈ 25.1 yd ( to the nearest tenth )

Answer:

25.1

Step-by-step explanation:

Formula of Circumference: 2πr
Radius: 4yd
Diamteter: 8yd

π = 3.14
=  2 x π x r
= 2 x 3.14 x 4
= 25.12

Rounded up:
= 25.1

In a school 50% of learner's are younger than 10 , 1/20 are 10years old and 1/10 are older than 10 but younger than 12, the remaining learner's are 12 years old . If there are 400 learner's in the school ,how many learner's are there in each age group?.​

Answers

Answer:

1/20=10 years old

In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?

50%= younger than 10

1/20=10 years old

1/10=older than 10 younger than 12

70=12 years or older

50%- 10/20

1/20-1/20

1/10-2/20

10/20+1/20+2/20=13/20

70 students =7/20

1/20 = 10 years old.

7/20 divided by 7 = 1/20

70 divided by 7=10

10 students are 10 years old

Answer:

~ 10 years old ~

Step-by-step explanation:

     1/20=10   : )

How to evaluate (-5)^-3 when 5 is a prime number.

Answers

Answer:

[tex]\left( -5\right)^{-3} =-\frac{1}{125}[/tex]

Step-by-step explanation:

[tex]\left( -5\right)^{-3} =\frac{1}{\left( -5\right)^{3} } =\frac{1}{-(5)^{3} } =\frac{1}{-125} =-\frac{1}{125}[/tex]

2. Two newspapers are comparing sales for last year.
● The Post sold 34,859 copies.

The Tribune sold two-and-a-half times as
many as the Post.
Write an equation that compares the number of
newspapers sold.

Answers

Answer:

t= 2.5P

Step-by-step explanation:

tribune= 2.5 x post

hi! I hope that I can get the answer ​

Answers

Answer:

84 ft ^3

Step-by-step explanation:

volume = 1/3 * base area * height

volume = 1/3 * (6*7) * 6

volume = 1/3 * (42) * 6

volume = 14 * 6

volume = 84

3 ounces for every 3/4 cup

Answers

What is the question of the problem?


2. The population of a school is 800 students and is increasing at a rate of 2% per year. Write an
exponential growth function, then find the population of the school after 9 years.

Answers

Answer:

1.) y=800e^(0.02t)

2.) 957.76 (or 958 if rounding up is required)

Step-by-step explanation:

1.) Since the increase is in years and our time is in years, we can use the function y=Pe^(rt) where P is our beginning value, r is rate (as a decimal) and t is time. Substitute the values P=800, r=0.02 to get y=800e^(0.02)t.

2.) Solving the equation above, we substitute t for 9, we get:

Y=800e^(0.02*9)

Y=800e^(0.18)

Y=800*(1.1972)

Y=957.76

Since it asks for population, you may or may not need to round to 958.

George is a candle maker. Each 14cm long candle he makes burns for 7 hours. If George makes a 46cm long candle, how long would it burn

Answers

23 hours

14cm candle burns 7 hours
1cm candle burns 7/14 **since it is 1cm so it will burn less
46cm candle burns 7*46/14 = 23 hours

Aj has dollers in her account she spends $35. 31 if the balance in her account is $161. 23 what was the amount in her account before her purchase

Answers

the amount originally in her account should be $196.54

what is 6/-9 simplified?

Answers

Answer:

Reduce by cancelling common factors.

The simplified expression of this problem is -2/3

[tex]-\frac{2}{3}(-0.6)[/tex]

Answer:

-2/3

Step-by-step explanation:

Which of the following is a monomial?
A. 20x^9-7x
B. 11x-9
C.20x^9
D.9/x

Answers

Answer:

c is the monomial as it fulfills the monomial equation ax^n where n is a whole number

The radius of Circle A is 3 in. The radius of Circle B is 3 in. greater than the radius of
Circle A. The radius of Circle C is 3 in. greater than the radius of Circle B. The radius of Circle D is
2 in. less than the radius of Circle C. What is the area of each circle? How many times greater than
the area of Circle A is the area of Circle D?

The area of Circle A is __in. 2

Answers

Answer:

Area of A: 9pi

5.4 Times greater

Step-by-step explanation:

Circle A Radius: 3

B Radius: 3+A (6 total)

C Radius: 3+B (9 total)

D Radius: C-2 (7 total)

Area of each Circle using formul pi*radius²

A: 9pi

B: 36pi
C: 81pi

D: 49pi

49/9 = 5.4 Circle D is 5.4 times greater then A

In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student who has a cat also has a dog?

Answers

Answer:

14/30

Step-by-step explanation:

An elephant at an animal sanctuary weighs 5.5 tons. He receives a daily nutritional supplement. The instructions say to give 1 fluid ounce of supplement for every 250 pounds of body weight.

Answers

Answer:48.5

Step-by-step explanation: Convert 5.5tonnes to pounds, that will be 12125.4pounds

To find how many 250pounds shots of supplement needed, divide by 250

12125.4÷250=48.5fluid ounce daily.

Use the Pythagorean theorem to find x. Enter the answer in simplified form.
Need help ASAP!

Answers

Answer:

x=13.855

hope i was able to help you

What is the volume of the triangular prism

Answers

Step-by-step explanation:

The volume =

base area × height

1/2×3.6×2.4 × 6

= 25.92 cm³

When patterning a shotgun, what is a sufficient percentage of pellets within a 30-inch circle?.

Answers

55% to 60%
The pattern of pellets within a 30-inch circle should be of a proper, even density to ensure a clean kill. The pattern should contain a sufficient percentage of the load, which should be at least 55% to 60%.

The sufficient percentage of pellets within a 30-inch circle should be; ''concentrated in the center at least 55% of the load, with even distribution.''

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The percentage of pellets within a 30-inch circle.

Now,

We know that;

According to the state hunter education standards, your shotgun pattern within a 30-inch circle should be; ''concentrated in the center at least 55% of the load, with even distribution.''

Thus, The sufficient percentage of pellets within a 30-inch circle should be; ''concentrated in the center at least 55% of the load, with even distribution.''

Learn more about the percentage visit:

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5 I bought 5 boxes of
crackers using a
coupon for 20% off. My
total bill was $6. What was
the original price of one
box of the crackers?

Answers

Answer:

1.20 x .2 which is the percent is $6. so the answer is $1.20

The original price of one box of crackers was $1.5 as per the concept of percentage.

Let's assume the original price of one box of crackers is "x" dollars.

After applying the 20% off coupon, you paid 80% of the original price for each box.

So, the discounted price of one box of crackers is 0.8x dollars.

Since you bought 5 boxes of crackers at the discounted price, the total bill becomes:

Total bill = 5 × 0.8x

Total bill = 4x dollars

Given that the total bill was $6, we can set up the equation:

4x = 6

Now, we solve for "x":

x = 6 / 4

x = 1.5

So, the original price of one box of crackers was $1.5. Before the discount, each box cost $1.5, but with the 20% off coupon, you paid 80% of the original price, which resulted in a total bill of $6 for 5 boxes.

To learn more about the percentage;

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Please help …. I will mark brainly

Answers

Answer:

A

Step-by-step explanation:

The slope is 4,6

Or x/y is 4/6

4/6*-3/2=-12/12

=-1

-1

and the extra 3 when you flip it.

By referring to the vertices state the angle highlighted in blue.

Answers

Answer:

∠C

Step-by-step explanation:

The angle in blue has C as its vertex.

Vertex is a point where 2 rays intersect to form an angle.

________

Hope it helps ⚜

Which of the following is not a change steve should make to the contract before he signs it? a. steve needs to increase the total cost from $300.00 to $500.00. b. steve needs a clause about the cost of rental equipment as janice’s responsibility. c. steve needs a clause about his hourly rate, regardless of the time it takes to finish the job. d. steve needs to remove the total cost of $300.00 in case the job takes longer than originally expected.

Answers

Answer:

I believe its a: steve needs to increase the total cost from $300.00 to $500.00.

Step-by-step explanation:

two tenths plus blank equals forty nine hundredths
a
fifty one hundredths

b
twenty nine hundredths

c
forty seven hundredths

d
ninety eight hundredths

Answers

Answer:

b      blank = 29/100

Step-by-step explanation:

2/10 + blank = 49/100

blank = 49/100 - 2/10

We need a common denomonator of r10 and 100. We can use 100.

blank = 49/100 - 20/100

blank = 29/100

Person above is correct!

What is the solution to the system of equations below?

y = negative 3 x + 5 and y = 4 x minus 2

Answers

Answer:

(1, 2)

Step-by-step explanation:

Since we are finding a solution that matches both equations, y = -3x + 5 is equal to y = 4x - 2.

So -3x + 5 = 4x - 2

Then group terms like so by moving them to the other side:

5 + 2 =  4x + 3x

7 = 7x.

Therefore x = 1.

Now to find y we substitue the value of x into an equation that contains y:

Y = 4x - 2

{x = 1}

Y = 4 - 2

Y = 2

Therefore the solution is (1, 2)

Lawrence is making 10 gift baskets. The table shows the food he has bought for the baskets . if the food it divided evenly , how much of each type of food will he put in each basket? complete the table. Give each answer as either a fraction mixed number or a decimal.

Answers

Answer:

i cant awnser

Step-by-step explanation:

wheres the table....like i cant tell

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