Item 14 Write an equation of the line passing through the point (4, 3) that is perpendicular to the line 4x−7y=9

Answers

Answer 1

Answer:

Step-by-step explanation:

-7y = -4x + 9

7y = 4x - 9

y = 4/7x - 9/7

perp. -7/4

y - 3 = -7/4(x - 4)

y - 3 = -7/4x + 7

y = -7/4x + 10


Related Questions

the length of a room is 2 m longer than its breadth .if the area of its floor is 63 sq.m.calculate the length and the breadth of the room​

Answers

Answer:

Given :-

the length of a room is 2 m longer than its breadth .if the area of its floor is 63 sq.m.calculate the length and the breadth of the room

To Find :-

Length and breadth

Answer :-

Let the length and breadth be l + 2 and l

Now,

[tex] \large \sf \: Area = l + 2 \times l [/tex]

[tex] \large \sf \: 63 = l + 2 \times \: l[/tex]

[tex] \large \sf \: 63 = 2l + {l}^{2} [/tex]

[tex] \large \sf \: {l}^{2} + 2l - 63 = 0[/tex]

[tex] \large \sf \: {l}^{2} (9l - 7l) - 63 = 0[/tex]

[tex] \large \sf \: l(l + 9) - 7(l + 9)[/tex]

Either

[tex] \large \sf \: l = - 9[/tex]

or,

[tex] \large \sf \: l = 7[/tex]

Length can't be negative,

So,

L = 9

B = 7

Please mark as brainliest :)

50 POINTS!
In the diagram, d = 4. What is the value of x? Express your solution in simplest radical form, if necessary.

Answers

Answer:

146

Step-by-step explanation:

180=4+30+x

180=34+x

180-34=x

146=x

answer:146
explanation:

Having some struggles

Answers

Answer:

I think it's 399

___

500

I hope it's well help you

Answer:

the answer is 149/500 :D hope this will help u

is y=1-x to the second power linear or nonlinear

Answers

Answer:

Non Linear

Step-by-step explanation:

Its non-linear because when you put X to the second power, it will change the function into a quadratic function

A weight of 6 lb stretches a spring a distance of 12 in. Find the constant k for the spring.

Answers

Answer:

Let F = the force (6 lbs) and x be the distance that the spring is stretched (12 inches).

F = kx

6 lb = k*(12 in.)

6/12 = k = 0.5 lb/in.

A weight of 6 lb stretches a spring a distance of 12 in. The constant k for the spring will be  0.5 lb/in.

How to obtain acceleration from force applied on an object?

If the object is of mass m kg and force applied on it is of F N in the direction of motion, then the acceleration of that object is evaluated as:

a=  F/m

Given; A weight of 6 lb stretches a spring a distance of 12 in.

Also,

Let F = the force and x be the distance that the spring is stretched

F = kx

6 lb = k*(12 in.)

6/12 = k = 0.5 lb/in.

Therefore, the constant k for the spring will be  0.5 lb/in.

Learn more about spring here;

https://brainly.com/question/13258939

#SPJ2

Evaluate the expression. 6(3+5)/4

Answers

Answer:

12

Step-by-step explanation:

6(3+5)/4 add number inside parentheses

6(8)/4 multiply 6 and 8

48/4 divide

12

Hope this helped you!

I need help ASAP! I am offering brainiest to whoever answers the question first!

Answers

Answer:

Step-by-step explanation:

1536(4)(4)=24576

Answer:1536(4)(4)=24576

Step-by-step explanation:

List the domain and range of the relation. {(7,-8), (4,4), (0,-8), (4,1),(7,8)}

Answers

Answer:

Domain: {7, 4, 0} Range: {-8, 4, 1, 8}

Step-by-step explanation:

the domain is just the x values and the range is just the y values when just a list of cordinates are given.

please help asap!!!!

Answers

Answer:

The area is 60. Thats all I know TwT

Step-by-step explanation:


There are (2^6)^3• 2^0bacteria in a sample. What is the total number of bacteria in the sample?

Answers

Answer:

262,144

Step-by-step explanation:

2^0 = 1

(2^6)^3 = 2^18 = 262,144

Answer: 262,144.

Step-by-step explanation: (26)3(20)

=(643)(20)

=262144(20)

=(262144)(1)

=262144

Find the constant of proportionality that creates a direct proportion between x and y,
Constant of Proportionality

Answers

Answer:

y=x

Step-by-step explanation:

Something that would create a direct proportionality is y=x because both of them are in an equation which means they are directly proportional

7.1 as a percentage

Answers

Answer:

its 710%

Step-by-step explanation:

710% hope it helps!

find the slope of the line that passes through
(-5,8) and (2,-6)​

Answers

Answer:

Slope is -2

Step-by-step explanation:

Formula is y2 - y1 / x2 - x1

Hope this helps. Pls give brainliest.

The height of 5 boys is 5.4 ft, 6.12 ft., 7.02 ft. 4.9 ft, and 6.25 ft. What is the average
height of these 5 boys?
What are the operation to solve the problem?
pls answer ​

Answers

Wll not just this question, but whenever you need to find average, you have to:

Wait, for example let's take ur question:

1st step we will add up all the values aka heights:

5.4+6.12+7.02+4.9+6.25=29.69

And then how many values did you take???

Its, 5 values

1st value= 5.4

2nd value=6.12

aaand so on....

However, then we will have to divide the sum by no.of values

29.69÷5=5.938

Aaand this is your FINAL ANSWER

Done!!!!

Hope I helped you!!!

Step-by-step explanation:

For the average height of fhe boys:

[tex] \frac{5.4ft + 6.12ft + 7.02ft + 4.9ft + 6.25ft}{5} \\ = 5.938 \: ft[/tex]

In solving for the average height, we used addition and division operations.

help again i need help​

Answers

Answer:

2.25

Step-by-step explanation:

32 divided by 14 2/9

can I please have brainiest

Do the points A(-2,1), B(-2,4), C(3, 4), D(3, 1) form a square?

Answers

Answer: i don't think they do

Step-by-step explanation: tell me if i wrong

No they form a rectangle because the sides are 3 and 5.
A squares has 4 equal sides. A rectangle has 2 opposite sides equal.

triangle ABC is isosceles with AB=AC and angle A=50°. the bisector of angle B and angle C meet at D. find the measure of BDC

Answers

Answer:

115 degrees

Step-by-step explanation:

From what I'm visualizing, D is a point of another isosceles triangle within ABC, so to find the measure of angle BDC, we have to find the other angles first.

First, we have to find angle B and C. since this is an isosceles triangle and AB=AC, these two angles are equal and we find their angle measure by subtracting the known angle A, from the total measure of all angles in a triangle, 180

180 - 50 = 130

then divide that by two to get the two equal angles

130/2 - 65

angle bisector divides the angles in half so the measures of CBD and BCD are 65/2

that leaves the last remaining angle BDC. Again, we take the known angles and subtract them from 180

180 - 65/2 -65/2 = 115

What is the equation for the line shown on this graph?

Answers

y=-7
Since it’s a straight line, there is no slope. So this is a zero slope line.

6=2(y+2) y=?

please help​

Answers

6 = 2(y + 2)
Divide by 2 on both sides.
3 = y + 2
Subtract 2 from both sides.
1 = y

(Substitution)
6 = 2(1 + 2)
6 = 2(3)
6 = 6
Answer:  y = 1

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

Explanation:

There are two ways to solve this

The first method will have us distribute the 2 through to each term, then we solve for y

6 = 2(y+2)

6 = 2y+4 .... distribute

2y+4 = 6

2y = 6-4 .... subtract 4 from both sides

2y = 2

y = 2/2 .... divide both sides by 2

y = 1 is the answer

-------------

Or we can solve through this set of steps

6 = 2(y+2)

6/2 = y+2 ...... divide both sides by 2

3 = y+2

y+2 = 3

y = 3-2 .... subtract 2 from both sides

y = 1

Either way, we get the same answer.

-------------

To check the answer, replace every copy of y with 1

Simplifying should lead to 6 on the right side

6 = 2(y+2)

6 = 2(1+2)

6 = 2(3)

6 = 6

Since we get the same thing on both sides, this means the last equation is true. This in turn means the first equation is true when y = 1. Therefore, the solution has been confirmed.

When a number is increased by 9.5%, the result is 58. What is the original number to the nearest tenth?

(I've seen other questions like this, but the answer is wrong. It's not 50 or 52.49 or 52.5.)

Answers

Answer:

53

Step-by-step explanation:

58÷1.095= 53 is the answer

Answer:

5.03196347032

Step-by-step explanation:

We do:

.095x+x=58

1.095x=58

x=52.96

52.96 is a approximation and when you do the math and see what  9.5 of 52.96 plus 52.96 is you get 57.9912 which is super close to 8 The exact answer is x = 5.03196347032

Brainliest need help plz




A horizontal line has points A , E, D. A line extends vertically from point E to point C and forms a right angle at C E D. A line extends up and to the left from point E to point B. Which statement is true about the given information? ∠CED measures 45°. ∠CED measures 180°. ∠AEC measures 90°. ∠AEC measures 45°.

Answers

Answer:

The answer is 90

Step-by-step explanation: Im not 100% sure but yeah.

Which of the following answers would have
no solution?
X=3
5=3
2=2

Answers

Answer:

no entiendo me explican que significa por fa

The answer to the following would be because the others are possible 5=3

PLS HELPPPP I NEED THIS GRADE PLSSSSS...The length of yarn needed to knit one hat is half the length of yarn that is needed to knit a scarf. It takes three times as much yarn to knit a
child's sweater as it does to knit one hat.
a. If It takes 400 yards of yarn to knit a scarf, how much yarn is needed to knit a child's sweater? Use tape diagrams and equations to solve
the problem. Use paper to show your work. Let h represent the number of yards of yarn needed to knit a hat.
It will take yards of yarn to knit a child's sweater.
b. How many total yards of yarn will be needed to knit a hat, a scarf, and a child's sweater?
It will take yards of yarn to knit a hat, a scarf, and a child's sweater

Answers

Answer:

A: 2,400 yards is needed for the child's sweater

you would take 400*2 to get the amount of yarn for the hat (800)take 800 (value of the hat) * 3 (the sweater uses three times as much yarn than the hat) = 2,400.

B: HAT: 800 yards

   SCARF: 400 yards

   SWEATER: 2,400 yards

we already have all of the values present from the first part of the problem, so we would just plug those in for the correct thing.

Step-by-step explanation:

i really hope this helped! if it did please give me brainliest.

For what value of n is 20 = {n+4?
a)
b) *
c) 40
d) 60

Answers

I think it might be 40 I’m not sure but good luck
Answer: N= 16

Explanation: 20-4=16

Jim buys some tacos and burritos which cost him $15.75. John buys some tacos and burritos which cost him $8.25. Tacos cost $1.50 each and burritos cost $2.25 each, how many of each did Joe and John buy?

Let t = the number of tacos and b= the number of burritos.

1. Which equation represents Joe?

2. Which equation represents John?

3. John bought:

tacos

burritos

4. Joe bought:

tacos

burritos

Answers

For John, the equation would be 1.5t + 2.25b = 8.25. For Jim, the equation would be 1.5t + 2.25b = 15.75. John bought one Burrito and 4 tacos. Jim bought 3 burritos and 6 tacos

help pls ;;-;; ye thxs

Answers

Answer:

You still need help? :P

Step-by-step explanation:

Pls help me ASAP pls

Answers

d= -11 I don’t remember if you have to flip the inequality symbol or not but the answer is -11

Find the measure of the indicated angle to the nearest degree.
PLS URGENT HELP

Answers

I think the answer will be 31

Ivan wants to rent a boat and spend less than $31. The boat costs $8 per hour, and Ivan has a discount coupon for $9 off. What are the possible numbers of
hours Ivan could rent the boat?

Write your answer as an inequality solved for t.

Answers

Answer:

he could have the boat for 4 hours with the coupon

t or time is the unknown here to be solved.

The hours Ivan rent the boat multiplied with $8 with $9 discount needs to be less than $31. Hence,

8t - 9 < 31

8t < 31 + 9

8t < 40

t < 5

The hours Ivan can rent the boat has to be less than 5. This is because he wants to spend LESS than 31, 31 sharp is not okay.

how do i use the quadratic formula on 5x + x2 + 10 = 0

Answers

Answer:math away is the best for the question u have

Step-by-step explanation:

Mathaway

Step-by-step explanation:

Solve the equation for x by finding a, b and c o f the quadratic then applying the quadratic formula.

5 ± i√15

x = ----------------------------

2

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