Mathematics High School

What is the y-intercept of the equation of the line that is perpendicular to the line v= x -x+ 10 and passes through the
point (15,-5)?
O y=xx-20
O y=-3x+20
Ov=3x-2
Ov=-3x+20

What Is The Y-intercept Of The Equation Of The Line That Is Perpendicular To The Line V= X -x+ 10 And

Answers

Answer 1

Answer:

[tex]y=-\frac{5}{3}x+20[/tex]

Here, m=-5/3, and b=y-intercept=20

Here, the y-intercept is: 20

Thus, option (d) is true.

Step-by-step explanation:

Given the equation

[tex]y=\frac{3}{5}x+10[/tex]

comparing the equation with the slope-intercept form

[tex]y=mx+b[/tex]

Here,

m is the slope y is the intercept

so the slope of the line is 3/5.

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be: -5/3

Therefore, the point-slope form of the equation of the perpendicular line that goes through (15,-5) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-5\right)=\frac{-5}{3}\left(x-15\right)[/tex]

[tex]y+5=\frac{-5}{3}\left(x-15\right)[/tex]

simplifying the equation to convert it into the slope-intercept form

We know that the slope-intercept form of the line equatio is

[tex]y=mx+b[/tex]

here 'm' is the slope and 'b' is the y-intercept

[tex]y+5=\frac{-5}{3}\left(x-15\right)[/tex]

subtract 5 from both sides

[tex]y+5-5=\frac{-5}{3}\left(x-15\right)-5[/tex]

[tex]y=-\frac{5}{3}x+20[/tex]

Here, m=-5/3, and b=y-intercept=20

Here, the y-intercept is: 20

Thus, option (d) is true.

Related Questions


Jonathan opened a savings account with $5500 and made no further
deposits. If the account pays3.5% simple interest, how long will it take until
the value of his account reaches $6655? *
a. 3.5 years
b. 6 years
c. 5.54 years
d. 6.5 years

Answers

C. 5.54 years
Explanation: took the test

It takes 6 years to reach $6655.

What is Simple interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

The formula written out is "Simple Interest = Principal x Interest Rate x Time."

Given:

Amount= 6655

Principal = 5500

Interest rate= 3.5%

So, Amount= P( 1 +rt)

6655 = 5500 (1 + 0.035t)

6655/5500 = 1 +0.035t

1.21 - 1= 0.035t

0.21 / 0.035 = t

t= 6 years

Hence, it takes 6 years to reach $6655.

Learn more about Simple Interest here:

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10 POINTS NEED HELP ASAP

Answers

Answer:

I believe it is D

Step-by-step explanation:

Hope this helps!

Question is attached above.​

Answers

Answer:

the last one

Step-by-step explanation:

hope this help

this is james

Please help!!!! Due soon!!
I’ll mark you the brainliest answer! Please

Answers

Answer:

3/2 or 1.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

X+2

F(x) +3

Use the order of operations to evaluate: −7.6 − 2[9 + (−6.8)] First, simplify the parentheses: [9 + (−6.8)] = 2.2. Now the expression is: −7.6 − 2(2.2). Since there are no exponents in this problem, the next step is ✔ (- 2)2.2 . Simplify the previous step and you get ✔ -7.6 – 4.4 . The final answer is

Answers

Answer:

-12.0

Step-by-step explanation:

From the above question, we are given:

−7.6 − 2[9 + (−6.8)]

We apple the PEDMAS rule

P = Parentheses, Hence:

Step 1

The first step is to simplify the parentheses

[9 + (−6.8)] = 2.2.

Step 2

We now have:

−7.6 − 2(2.2).

Step 3

We simplify Parentheses again

(- 2)2.2 = -4.4

Step 4

We simplify

-7.6 - 4.4

= -12.0

The final answer is 12.0

have a nice day, good luck

A line segment AB has the coordinates A (2,3) and B ( 8,11). Answer the following question. What is the slope of AB?

Answers

Answer:

4/3

Step-by-step explanation:

(Y2-y1)/(x2-×1) is slope for 2 points

(11-3)/(8-2)

11-3=8

8-2=6

8/6=4/3

Answer: The slope is m = 4/3

What is the measure of

Answers

Answer:

The answer is 60.

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot. y=-16x^2+227x+109

Answers

Answer: y=914.1 feet max height

Step-by-step explanation:

Anyone want to help me with this? I will mark brainliest and thanks

Answers

Answer:

x = -8

m∠BDC = 68°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Geometry

Definition of a Line: A line is 180°

Step-by-step explanation:

Step 1: Set up Equation

m∠BDC + m∠CDA = 180°

(-7x + 12)° + (-8x + 48)° = 180°

Step 2: Solve for x

Combine like terms:                    -15x + 60 = 180Isolate x term:                              -15x = 120Isolate x:                                       x = -8

Step 3: Find m∠BDC

Define:                    m∠BDC = (-7x + 12)°Substitute in x:       m∠BDC = (-7(-8) + 12)°Multiply:                  m∠BDC = (56 + 12)°Add:                        m∠BDC = 68°

Evaluate the following:

14) 49-4( 32+116 ) 15) 72+72



16) 3278 +25

Answers

Answer:

14) -123

15) 144

16) 3303

Step-by-step explanation:

Find P(2) when p = 0.60
help pls

Answers

Answer:

The answer is 1.2

Step-by-step explanation:

since P is 0.60, you multiply both together to get 1.2

board sum (-4)+1=x+(-4)

Answers

x=1

i gues dont know

hav nice day✌

Plz, Help me with this question.

Answers

The GCF of 27 and 72 is 9 / The 3rd option!

Answer:

the answer is 9

Step-by-step explanation: you subtract the two and get ur answer

Determine the slope of the line that contains the given points.





T(5, 6), V(8, 8)

a.
0

b.


c.


d.

Answers

Answer:

slope = 2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Giving brainliest for whoever answer this correctly 10 points!!!

Answers

Answer:

A. 0

Step-by-step explanation:

At the beginning of the month, Arnold’s bank account balance was $217.25. During the month he made deposits of $49.58 and $105.75 and a withdrawal of $25.45. What was Arnold’s bank balance at the end of the month?

Answers

the answer is: $347.13
347.13 dollars is the answer

Mike and Thomas were making Lego towers. Mike stacked 249 Legos for his tower. Thomas had stacked twice as much as Mike. How many Legos did Thomas use for his tower? Write you answer in a complete sentence.

Answers

Answer:

498

Step-by-step explanation:

So,if mike stacked 249 legos and thomas did twice as much that means x2 so if you do 249 x2 you get 498.

(Timed) Solve the system of equations work shown

Answers

Answer:There are 2 ways to solve this system: by substitution or by graphing. I will solve this system using both.

Substitution Method

For x:

[tex]y = \frac{5}{4}x - 2\\y = -\frac{1}{4}x + 19\\\\\frac{5}{4}x - 2 = -\frac{1}{4}x + 19\\\\\frac{3}{2}x - 2 = 19\\\\\frac{3}{2}x = 21\\\\x = 14[/tex]

For y:

[tex]y = \frac{5}{4}(14) - 2\\\\y = 17.5 - 2\\\\y = 15.5[/tex]

Solution:

[tex](14, 15.5)[/tex]

Graphing Method

According to this graph, the solution will be [tex](14, 15.5)[/tex].

Jin's mother estimates there is a half-gallon of fruit punch remaining in the container. There are actually 72 ounces of fruit punch in the container. Find the percent error of Jin's mother's estimate. Round the percent to the nearest tenth if necessary HELP DUE IN 10 MINUTES

Answers

Answer:

89%

Step-by-step explanation:

the real answer is 64 fluid ounces

64/72*100 which is 88.89% or 89%

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The percent error of Jinn's mother's estimate is 11.12%.

What is Percentage Error?

The degree to which a measured or calculated value is closest to its true value is measured by its accuracy. The error percentage is calculated by multiplying the error to real value by 100. The repeatability of a set of measurements is gauged by the precision of each measurement.

Given that Jinn's mother estimates there is a half-gallon of fruit punch remaining in the container. Therefore, the estimated amount can be written as,

Estimated amount = 0.5 gallons = 0.5 × (128 ounces) = 64 ounces

It is also given that there are actually 72 ounces of fruit punch in the container. Therefore, the percent error of Jin's mother's estimate is

Percentage Error = [ |Estimated value - Real Value| ) /Real Value] × 100%

                             = [( |64 ouches - 72 ounces| )/72 ounces] × 100%

                             = [(8 ounces)/72 ounces] × 100%

                             = 0.11111 × 100%

                             = 11.12%

Hence, the percent error of Jinn's mother's estimate is 11.12%.

Learn more about the Percentage Error here:

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Select the correct answer.
Janet sells custom artwork online. Her business profits for the month of August are shown in the table.

Week Profit
week 1 $56.92
week 2 -$16.54
week 3 $45.58
week 4 -$21.74

How much more profit did Janet make in week 2 than in week 4?
A.
-$38.28
B.
-$5.20
C.
$5.20
D.
$38.28
E.
$40.25

Answers

Answer:

B. -5.20.

Step-by-step explanation:

We can see that Janet made more in week 4 then in week 2, so that means the answer will have to be a negative. To find the exact answer, we take away 21.74 from 16.54. This gets us -5.2, which is equivalent to -$5.20. I hope this helps!

5.29 justa subrast the two

hey hello, please help

Answers

Answer:

2/10 3/10 4/10 5/10 6/10

Step-by-step explanation:

add one each time or go up every number.

plllllzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz helppppppp

Answers

Answer:

Its C

Step-by-step explanation:

All you have to do is divide 90.2 by 11

Answer:

c

Step-by-step explanation:

4. Anthony makes candies.
First, he mixes 1 cup of cream with 2 cups of chocolate.
In all, he uses 9 cups of these two ingredients.
How many cups of chocolate does he use in this candy recipe?

Explain.

Answers

Answer:

6

Step-by-step explanation:

There is 1 cup of cream for every 2 cups of chocolate. That means there are 3 cups of cream and 6 cups of chocolate. Each cup of cream = 2 cups of chocolate, so you would do 3*2 which equals 6

6 + 3 = 9

Kym switched cell phone plans. She signed up for a new plan that will save her $3.50 per month compared to her old cell phone plan. The cost of the new phone plan for an entire year is $294. How much did Kym pay per month under her old phone plan?

also merry early Christmas

Answers

Answer:

Hi there,

$294 per year = $24.50 per month

Kim paid $24.50 + $3.50 = $28 per

month with her old phone plan.

Hope this helps :-)

Step-by-step explanation:

simplify the expression (x to the 12 power) to the 3 power

Answers

Answer:

Step-by-step explanation:

To simplify this, I can think in terms of what those exponents mean. "To the third" means "multiplying three copies" and "to the fourth" means "multiplying four copies". Using this fact, I can "expand" the two factors, and then work backwards to the simplified form. First, I expand:

(x3)(x4) = (x‍x‍x)(x‍x‍x‍x)

Now I can remove the parentheses and put all the factors together:

(x‍x‍x)(x‍x‍x‍x) = x‍x‍x‍x‍x‍x‍x

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This is seven copies of the variable. "Multiplying seven copies" means "to the seventh power", so this can be restated as:

x‍x‍x‍x‍x‍x‍x = x7

omg pls help its proving the sum of the interior angle measures of a triangle is 180

Answers

Answer:

60

Step-by-step explanation:

all angles in a triangle measures 180°

THE ANSWER IS 60 that is the correct answer

SOMEONE PLEASE HELP WILL MArk BRAINLIEST ‼️‼️

Answers

Answer:

y=3x+2

Step-by-step explanation:

100 POINTS
Find the slope of the line passing through the points , −7−7 and , −36
i will make branlyst.

Answers

Answer:

The equation y = -0.24137931034483x – 8.6896551724138, assuming you meant (-36,0).

Step-by-step explanation:

Gwen bought a total of 35 pieces of licorice. She bought 4 times as many red pieces as she did black pieces.
a. Write a system of equations that represents the number of pieces of each kind of licorice that Gwen bought.
b. Solve the system by substitution
c. Interpret the solution

Answers

Step-by-step explanation:

The total no of pieces is 35. Let Gwen has B black pieces and R red pieces.

(a) She bought 4 times as many red pieces as she did black pieces. It means,

Red pieces = 4B

Equations that represents the number of pieces of each kind of licorice that Gwen bought are :

R + B = 35 ....(1)

and

R = 4B  ....(2)

((b) Put equation (2) in equation (1)

4B + B = 35

5B = 35

B = 7

Put the value of B in equation (2)

R = 4(7) = 28

(c) There are 7 black and 28 red pieces of licorice.

FERRIS WHEEL Suppose a Ferris wheel is 160 feet high and casts a shadow that is 64 feet long. At the same time, a ticket booth next to the Ferris wheel casts a shadow that is 2.8 feet long. What is the height of the ticket booth?

Answers

Answer:

7 feet

Step-by-step explanation:

Suppose a Ferris wheel is 160 feet high and casts a shadow that is 64 feet long. At the same time, a ticket booth next to the Ferris wheel casts a shadow that is 2.8 feet long. What is the height of the ticket booth?

We solve this question

Length of shadow/Height

Ferris wheel = Ticket booth

64 feet/160 feet = 2.8 feet/x

Cross Multiply

64x = 160 × 2.8

x = 160 × 2.8/64

x = 7 feet

The height of the ticket booth is 7 feet

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