The graphs of 4x+12y=8 and y=mx+5 are perpendicular. What is the value of​ m?

Answers

Answer 1

Answer:

m = 3

Step-by-step explanation:

Slope of first one is -1/3

Perpendicular therefore m = -(-1/3)^(-1) = 3

m = 3

Answer 2

Answer:

Given the equation line 4x+12y=8

Step-by-step explanation:

The equation is y=mx+5y=mx+5

The line passes through A(3,14)A(3,14)

Putting (x,y)=(3,14)(x,y)=(3,14), we have…

14=3m+514=3m+5

⟹3m=9⟹3m=9

⟹m=3


Related Questions

If Sally has 5 apples and Joe has 2 more apples than Sally but Joe gets robbed how many apples does Sally and Joe have all together

Answers

Answer:

Well, we need to know how many apples Joe was robbed of before we can finish the problem.

313 people were surveyed in total. 183 of the people surveyed are from East Harlem and 130 people are from the Upper East Side. What percent of people surveyed are from each neighborhood?

Answers

1. The percentage of people surveyed in East Harlem is 58.5%

2. The percentage of people surveyed in Upper East Side is 41.5%

From the question given above, the following data were obtained:

People surveyed in East Harlem = 183People surveyed in Upper East Side = 130Total people surveyed = 313

1. Determination of the percentage of people surveyed in East Harlem.

People surveyed in East Harlem = 183Total people surveyed = 313Percentage of East Harlem =?

Percentage of East Harlem = (people surveyed in East Harlem / Total) × 100

Percentage of East Harlem = (183/313) × 100

Percentage of East Harlem = 58.5%

2. Determination of the percentage of people surveyed in Upper East Side.

Percentage of East Harlem = 58.5%Total percentage = 100%Percentage of Upper East Side =?

Percentage of Upper East Side = (Total percentage) – (Percentage of East Harlem)

Percentage of Upper East Side = 100 – 58.5

Percentage of Upper East Side = 41.5%

Learn more about percentage:

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Susan made 75 pieces of peanut brittle to share equally with her friends. She put 4 pieces of peanut brittle in each bag. She gave all the left over pieces of peanut brittle to her mom. How many pieces of peanut brittle did Susan give her mom?

Answers

Answer:

72/4=18 with remainder of 3 peices given to her mom

Step-by-step explanation:

what inequality does the number line graph represent

Answers

Answer: what number line

Step-by-step explanation:

One coin is flipped and then one die is rolled. What is the probability of getting a head on the coin and an odd number on the die? {?} Give your answer as a percentage.

Answers

Sample Space for coin=H,T
n(S)=2
n(head)=1
P(of getting a head)=1/2

Sample Space for die=1,2,3,4,5,6
n(S)=6
n(odd numbers)=3
P(of getting an odd number)=3/6=1/2

P(of getting a head on the coin and an odd number on the die)=1/2 + 1/2 =1
Probability expressed as a percentage=1*100%=100

The probability of getting a head on the coin and an odd number on the die is 25%

What is the probability?

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

One coin is flipped, and then one die is rolled.

Let H is the head and T is tails.

The sample space is {H, T}

The probability of getting a head on the coin

= The possible outcomes / the total outcomes

= 1/2

One die is rolled.

So, the sample space is {1, 2, 3, 4, 5, 6}

The sample space for odd number is {1, 3, 5}.

The probability of getting an even number on the die

= 3/6

= 1/2

If two events A and B are independent, then the probability that they occur together is the product of their individual probabilities:

P(A and B) = P(A) P(B)

= 1/2 x 1/2

= 1/4

= 0.25

And 0.25 in percentage is 25%.

Therefore, the probability is 1/4.

To learn more about the probability;

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#SPJ5

help me on these questions pls

Answers

Answer: Beau and Kai are the similar triangles. If you add 55 and 61 degrees you come up to 116. Since their are 180 degrees in a triangle, you know that the other angle needs to be 64 degrees. On Kai's the 55 and 64 degrees come up to 119 degrees leaving 61 degrees for the unknown angle. Each has an angle with 55 degrees, 64 degrees, and 61 degrees

Step-by-step explanation:

Find the perimeter of the window to the nearest tenth 10cm

Answers

Answer:

54 cm

Step-by-step explanation:

Prove the following ​

Answers

Step-by-step explanation:

Start by multiplying both sides by cosα:

1 + sinα + (cos²α)/(1+sinα) = 2

sinα + (cos²α)/(1+sinα) = 1

Now multiply both sides by 1+sinα:

sinα + sin²α + cos²α = 1 + sinα

sin²α + cos²α = 1 Q.E.D.

Thats the answer and method i used

will mark brainleist

Answers

Answer:

Figure a) 2

Figure B) 4

Figure c) 5

Step-by-step explanation:

Answer: A: has 1 line B has 2 and 3 has 5

Step-by-step explanation:

I need to know day 4 and 5 i'm stuck

Answers

Answer:

Answer is below and I solved them.

Step-by-step explanation:

Absences from school:

8*3*3*3*3 = 648

Day 4 = 648

8*3*3*3*3*3 = 1,944

Day 5 = 1,944

Absences from Band:

8*3*3+28+28 = 128

Day 4 = 128

8*3*3+28+28+28 = 156

Day 5 = 156

Hope that helps.

Please tell me.

how to evaluate in math?
HELP PLEASE

Answers

You need to figure out the value of the expression when the variable is replaced by a given number. Hope this helps, if you need a better explanation let me know!

24 feet/second to inches/minute

Answers

Answer:

4.8 inches a minute is probably the answer

Answer:

4.8 inches a minute

Step-by-step explanation:

The measure of an angle is 138°. What is the measure of its supplementary angle?​

Answers

Answer:

Supplementary angle = 42⁰

Step-by-step explanation:

We know that

Sum of two supplementary angle = 180

Let,

Supplementary angle = x

=> 138 + x = 180

=> x = 180 - 138

=> x = 42⁰

If the measure of an angle is 138°, the measure of its supplementary angle is 42°

What are supplementary angles:

Supplementary angles are two angles that sum to 180 degrees. The sum of supplementary angles is equals to 180 degrees.

Therefore, if the angles are x and y , For them to be supplementary,

x + y = 180°

If the measure is 138 degrees, the measure of its supplementary angle can be calculated as follows:

let

its supplementary angle = x

138 + x = 180

x = 180 - 138

x = 42°

learn more on supplementary angles: https://brainly.com/question/25818150?referrer=searchResults

Casey's grandmother sent her an $80 bookstore gift card for her birthday last year. This year, she sent her a $110 bookstore gift card. Which proportion can be used to find the percent of last year's gift that this year's gift is, if n represents the unknown percent?
A 100/110 = 80/n
B 80/110 = n/100
C 110/80 = n/100
D 101/100 = 80/n

Answers

The answer is to this question is B

Need help fast hs geometry

Answers

Measure of angle C = 100°Measure of angle A = 40°We know, sum of all angles of a triangle is 180°.Therefore, the measure of angle B

= [180 - (100 + 40)]° = 40°

When two angles of a triangle are equal, then the triangle is isosceles.Here, the measure of angle A and B are equal, i.e., 40°So, ∆ABC is an isosceles triangle.

Answers:

40°Yes

Hope you could get an idea from here.

Doubt clarification - use comment section.

$765. 13 is deposited at the end of each month for 2 years in an account paying 12% interest compounded monthly. Find the amount of the account. Round your answer to the nearest cent. A. $18,911. 18 b. $19,873. 08 c. $20,638. 21 d. $21,403. 34.

Answers

The amount of the account which is also the principal is = $3,188

The formula for calculating the simple interest (I) of an account is = P × T × R / 100

Making P the subject of formula, P = 100 × I / T×R

Where,

T = 2 years

R = 12%

I = $765. 13

[tex]p = \frac{100 \times 765.13}{2 \times 12} [/tex]

[tex]p = \frac{76513}{24} [/tex]

p = $3,188

Therefore, the amount of the account which is also the principal is = $3,188

Learn more about simple interest here:

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How many students answered exactly two questions incorrectly

Answers

Step-by-step explanation:

you didn't post the questions yk?!

How is Maths used in Construction??
Can someone help me with 10 - 15 pages

Answers

Answer:

They measure the area, volume, length, and width, in construction

10 - 15 = -5

Step-by-step explanation:

HOPE THIS HELPED

By which reason can it be proven that triangles DAB and DAC are congruent?

AAS
SSS
SSA
AAA

Answers

Answer:

AAS

Step-by-step explanation:

Answer:

AAS

Step-by-step explanation:

amanda is 25 years old. in 5 years she will be twice as old as simone how old i simone

Answers

We could use Algebra for this question but it’s quite simile so won’t need it. If Amanda is 25, when we add on 5 years she’ll be 30. Now it says when she’s 30, she will be twice as old as Simone. Implying that Simone will be half of Amanda’s age. In this case 30/2 = 15. So Simone must be 15.
Simone is 12 1/2 years old. 25/2=12.5

Question 5 (1 point)
(07.07)
Find the product of (x - 5)2. (1 point)
оа
X2 + 10x + 25
Ob
x2 - 10x + 25
OC
X2 - 25
Od x2 + 25

Answers

Answer:

B. x^2 - 10x + 25

Step-by-step explanation:

(x - 5)^2

(x - 5)(x - 5)

x^2 - 5x - 5x + 25

x^2 - 10x + 25

Georgia is 2 years younger than 1/3 of her Aunt Mika's age. How old would Georgia be if her Aunt Mika is 27?

Answers

Answer:

7

Step-by-step explanation:

First, we have to find 1/3 of 27, which is the aunt's age.

27/3 is 9.

Now, since Georgia is 2 years younger, we have to subtract 2 from 9.

9-2=7

-hope it helps

Georgia would be 7 if that was the case.

WILL GIVE BRAINLIEST

Answers

Answer:

B. H, I, JH(-5, -5), I(0, -6), J(2, -8)

Step-by-step explanation:

You have to draw sets:

[tex]y<\dfrac{1}{2}x-1\qquad(1)\\\\y\leq-3x+2\qquad(2)[/tex]

in the coordinates system.

[tex]y=\dfrac{1}{2}x-1\\\\x=0\to y=\dfrac{1}{2}\cdot0-1=-1\to(0,\ -1)\\\\x=2\to y=\dfrac{1}{2}\cdot2-1=1-1=0\to(2,\ 0)[/tex]

dashed line

mark the region below the line

[tex]y=-3x+2\\\\x=0\to y=-3\cdot0+2=2\to(0,\ 2)\\\\x=1\to y=-3\cdot1+2=-3+2=-1\to(1,\ -1)[/tex]

solid line

mark the region below the line

Read points on the common region (look at the picture).

= table shows a hot air balloon's height h, in feet, during a descent at various times t, in seconds.
Time Height
(seconds) (feet)
5
1150
10
1090
15
1030
20
970
25
910
at air balloon's initial rate of change (slope).

Answers

Answer:

A. Slope is -12 feet per second

B. Yes, it is constant.

Skills needed: Linear Equations, Substitution and Division

Step-by-step explanation:

1) Solving Part A (we need to find the slope):

The slope is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] --> [tex]y_1[/tex], [tex]y_2[/tex], [tex]x_1[/tex], and [tex]x_2[/tex] are all values from the table. We know that the left column is the x-values, and the right column is the y-values as that is the conventional way of depicting them.

2) Using the y-values of 1150 and 1090, and their corresponding x-values (5 and 10 respectively), we can get the slope:

- [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] ==> [tex]\frac{1090-1150}{10-5}[/tex] ==> [tex]1090-1150=-60, 10-5=5[/tex] ==> [tex]\frac{-60}{5}[/tex]

[tex]\frac{-60}{5} =-12[/tex], so the slope is -12.

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

1) Part B (analysis)

We can see that no matter what 2 y-values and their corresponding x values we use, the slope always is the same. This means that the rate of change is constant.

what is 3/7-7/14 as a fraction

Answers

-1/14
hope this is helpful!

Answer:

-1/14or-0.07

Step-by-step explanation:

3/7-1/2=(2x3)/(2x7)-(7x1)/(7x2)=6/14-7/14=(6-7)/14=-1/14or0.07

Sue wants to increase 160 by 4%
She writes down

160* 1.4 = 224

Sue's method is wrong.

a) Instead of multiplying by 1.4 , write down what she should have multiplied by --------------------->


Bill wants to decrease 160 by 6%
b) Complete he statement below to show how bill can decrease 160 by 6%

160 * =

Answers

Answer for a) = 0.04
Answer for b) = (160*0.06= 9.6)
160-9.6= 150.4

Answer:

a) 1 04.

b) 160 * 0.94.

Step-by-step explanation:

b) We multiply by 1 - 0.06 = 0.94.

Multiply: (3x)(x4 + 5)

Answers

Answer:

12x² + 15x

Step-by-step explanation:

(3x × 4x) + ( 3x × 15)

Answer:

(3x) (X 4+5)

3x×(x×4+5)

3x×(4x+5)

12x^2+15x answer

Jane and John had an equal number of flowers. Jane made bouquets with 7 flowers each, while John made bouquets with 9 flowers each. If there were no flowers remaining, at least how many bouquets did John make

Answers

Answer:

63

Step-by-step explanation:

The least common multiple of 7 and 9 is 63

19. The present age of brother and sister are in the ration 4:5 Before three years the ration of their age was 3:4. find their present age-​

Answers

Answer:

Sister = 15 years old

Brother = 12 years old

Step-by-step explanation:

Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X

Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have

B = 3X

S = 4X

B-3 = (3/4)(S-3)

Therefore, we have a system of equations

B = (4/5)S

B-3 = (3/4)(S-3)

Substitute (4/5)S for B into the second equation to only have one variable

(4/5)S - 3 = (3/4)(S-3)

(4/5)S - 3 = (3/4)S - 9/4

add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient

(1/20)S = 3/4

multiply both sides by 20 to isolate the S

S = 15

B = (4/5)S = 12

(ii) The probability the tiles are both the same colour is 16 45 Show that x2 - 6x + 5 = 0.

Answers

Answer:

i think probably x = 1 or 5

Step-by-step explanation:

x²-6x+5 =0

so (x-1)(x-5) = 0

so x = 1 or 5

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