Find the equation of the line that contains the point (-4, -4) and is perpendicular to the line 4x+5y=5

Answers

Answer 1

Answer:

[tex]5x-4y+4=0[/tex]

Step-by-step explanation:

Given: A point  which is perpendicular to the line .

To find: The equation of the line which passes through [tex](-4, -4)[/tex] and is perpendicular to the line [tex]4x+5y=5[/tex].

Solution:

We have, [tex]4x+5y=5[/tex].

Slope of the line [tex]4x+5y=5[/tex] is [tex]-\frac{4}{5}[/tex].

The line which passes through [tex](-4, -4)[/tex] is perpendicular to the line [tex]4x+5y=5[/tex].

Now, the product of the slopes of two perpendicular lines is [tex]-1[/tex].

Therefore, [tex]m\times-\frac{4}{5}=-1[/tex]

So, its slope is [tex]\frac{5}{4}[/tex].

Now, the equation of the line which passes through [tex](-4, -4)[/tex] and slope [tex]\frac{5}{4}[/tex] is:

[tex]y-(-4)=\frac{5}{4} [x-(-4)][/tex]

[tex]\Rightarrow y+4=\frac{5}{4} (x+4)[/tex]

[tex]\Rightarrow 4(y+4)=5(x+4)[/tex]

[tex]\Rightarrow 4y+16=5x+20[/tex]

[tex]\Rightarrow 5x-4y+20-16=0[/tex]

[tex]\Rightarrow 5x-4y+4=0[/tex]

Hence, the equation of the line that contains the point [tex](-4, -4)[/tex] and is perpendicular to the line [tex]4x+5y=5[/tex] is [tex]5x-4y+4=0[/tex].


Related Questions

Oscar buy his lunch in the school cafeteria the cost of 15 schools lunches is $33.75

Answers

Answer:

$2.25

Step-by-step explanation:

If the answer is how much is one school lunch then...

33.75/15

=2.25

$2.25

It is $2.25 for each meal he gets from school.

please help ASAP !!
Choose the system of equations that matches the following graph:
Picture included!

Answers

Answer:

Choice 2

Step-by-step explanation:

If im wrong im so sorry

If im right can i hav brainliest plz?

Answer:

b

Step-by-step explanation:

So you start at x-axis work your way down to the y-axis and you get your answer.

1. Compute the percent of Mikki's Mathematics score. That is compute P X( 5 60).
Circle your answer below
(a) P X( <= 60 78.81%) |
(b)P X( <= 60 34.46%)
©PX( 1= 6
= 60 88.49%)
a) P X( 3 = 60 50%)
(e) P X( 5 = 60 95.54%)

Answers

Answer:

sorry kid idontknow

Step-by-step explanation:

What is the value of this expression? 44−{(6+8)÷2}×3

14

23

69

111

Answers

Answer:

23

Step-by-step explanation:

First, open the brackets.

44 - (14/2) x 3

44 - 7 x 3

44 - 21

23

A forest covers 58,000 acres. A survey finds that 0.7​% of the forest is​ old-growth trees. How many acres of​ old-growth trees are​ there?

Answers

Answer:

406

Step-by-step explanation:

0.7 % / 100 = 0.007

58000 * 0.007 = 406 acres

find the volume of the solid figure​

Answers

Answer:

Volume= Length × Width × Height

If 1/2 gallon of paint covers 1/12 of a wall, then how many quarts of paint are needed for the
entire wall?

Answers

Answer:

24

Explanation:

½ gallons × 12 = 6 (gallons of paint needed to cover the whole wall)

6 gallons = 24 quarts

i hope this helps! :D

Estimate by rounding the largest number to tens and then multiplying. 311 × 5 is approximately

Answers

Answer:

1550

Step-by-step explanation:

311 to 10s would be 310

310x5= 1550

X+3y=17 -2x+3y=-7 how do you solve it

Answers

Answer:

X+3y=17  is  x=−3y+17

-2x+3y=-7  is  x= 3 /2 y+ 7 /2

Step-by-step explanation:

PLEASE ANSWER URGENT!! TWO QUESTIONS IN ONE
Which number has the least absolute value?
15
5
1
-25

Which number has the greatest absolute value?
15
5
0
-25

Answers

Answer:

1 has the least absolute value and -25 has the greatest absolute value

Step-by-step explanation:

If it is absolute value all numbers will be positive no matter the sign they have

How do you do this what the answer to number 12

Answers

DONT click that link

A TV has an original price of
$499. Find the new price given a 10% increase

Answers

501 dollars duhhhhhh
change 10% to 0.1
499 x 0.1 = 49.9
499 + 49.9 = 548.9

HELPPP PLSSSS!!!! ^^ picture above

Answers

Do not look up the link from the answer above me.

HELP ME NOW PLEASE AND THANK YOUUU !! Asap on this questions

Answers

Answer:

y ≥ -1/2x + 1

Step-by-step explanation:

Not the 1st choice since it's going down

Not the 2nd choice since it's solid line

It's the 3rd choice

Answer:

y ≥ -1/2x + 1

Step-by-step explanation:

Hope this helps

Write an equation of the line that passes through the points (3,8) and (2.6). Write the equation in slope-intercept form.
The equation of the line in slope-intercept form is

Answers

Answer:

2x - y + 2 = 0 is the equation

y = 2x + 2 is the equation in slope-intercept form

Step-by-step explanation:

slope = (y₂ - y₁) / (x₂ - x₁)

slope = (6 - 8) / (2 - 3)

slope = -2 / -1

slope (m) = 2

equation through the points (3,8) and (2,6):

(y - y₁) / (y₂ - y₁) = (x - x₁) / (x₂ - x₁)

(y - 8) / (6 - 8) = (x - 3) / (2 - 3)

(y - 8) / -2 = (x - 3) / -1

-y + 8 = -2x + 6

2x - y + 2 = 0

slope-intercept form,

y = mx + c

y = 2x + 2

Carly had some markers. After she bought 16 more, she had 40 markers. How
many markers did Carly start with?

Answers

Answer:

24 markers

Step-by-step explanation:

24+16=40

40-16=24

It’s 26. You just do 40 - 16

easy 25 points!!!!!!!!!

look at the picture provided, find G

Answers

Answer:

There right there u don't see it?

if prism A and B have a ratio of similarity of 6:11, what is the volume of prism B if the volume of prism A is 96 cubic units

Answers

Answer:

176cubic units

Step-by-step explanation:

a:b

6:11

a=96

6/11=96/x

6x=1056(96×11)

x=176 cubic units

#1) Catherine takes AC transits to school and the bus travels 35 blocks in 7 minutes. At this rate, how long
should the ride take if Catherine's school is 50 blocks away from her house? Explain how you know.

Answers

10 minutes, you divide the blocks (35) by the time (7) which will give you the amount of blocks per minute which is 5 and you divide the amount you live (50) and you get 10 minutes

Can anyone help me please ?

Answers

3 I’m not entirely sure though

The graphs below were created by an advertising agency for the computer store TechPlus to show its average price on laptops and desktops compared to another computer store's prices.


Which of the following statements best explains how the advertising agency misrepresented the data?


The graphs use different scales, making it appear that the prices at TechPlus are much lower than CompStar.


The graphs were created with different colors.


The graph for CompStar makes its prices appear much higher, but its prices are only a little higher.


The graphs do not include tablet computers, so there is not enough information to compare their prices.

Answers

The misrepresentation lies in the fact that ; The graphs use different scales, making it appear that the prices at TechPlus are much lower than CompStar.

Taking a look at both graphs, it could be observed on the y - axis that the graphs do not follow the same scale.

For CompStar, the y-axis which shows the price of laptops and desktops starts it's labeling from $0 ; while TechPlus's labeling began from $600

This representation means that comparing the two graphs would give an erroneous inference as it would make the price of TechPlus appear lower than that of Complus.

Learn more : https://brainly.com/question/1370154?referrer=searchResults

help me please? ill mark as brainliested :))

Answers

Answer:

go down 5 on the y axis (the one going up and down)

Step-by-step explanation:

since its negative you go down, and since it doesnt give an x axis it doesnt go left or right.

find the solution of given expression

[tex] \sqrt{652 \times 652} [/tex]

Answers

Answer:

652

Step-by-step explanation:

[tex]\sqrt{652 \times 652}[/tex] is equal to [tex]\sqrt{652^{2} }[/tex], and the square root of a number squared is always the original number, so [tex]\sqrt{652^{2} }[/tex] is equal to [tex]652[/tex].

Answer:

√{652×652}=√652²=±652

Step-by-step explanation:

What is the value of x in the equation shown below?
x3 + 1 = 9

Answers

Answer:

x = 7/3 or 2.33

Step-by-step explanation:

x3 + 1 = 8

x3 = 8 - 1

x3 = 7

x = 7/3 or 2.33

HOPE THIS HELPS YOU!! :)

Answer: x = 2

Step 1.

In order to solve this non-linear equation, we need to move all the terms to the left side.

In x³ + 1 = 9...

- term 1, will be moved to the right side.

Notice that a term changes sign when it 'moves' from one side of the equation to the other.

Rewrite the equation like this:  (x³ + 1) + (-1) = 9 + (-1)

Step 2.

Add x³ + 1 + (-1)

x³ + 1 + (-1) = 8

Now, x = 8.

Step 3.

In this non-linear equation, the variable needs to be isolated.

This is accomplished when both sides are exponentiated by the reciprocal of the variable's exponent, which in our example, 1/3 is equal to

Notice that since we exponentiated a simplified fraction with an odd denominator, only one solution has been created.

Rewrite the equation: [tex](x^3)^\frac{1}{3} =8^\frac{1}{3}[/tex]

Step 4.

We need to exponentiate the power.

The following rule is applied: [tex](A^B)^C=A^B^C[/tex]

According to the formula,

A = X

B = 3

C = 1/3

Rewrite the equation: [tex]x^3^\times^\frac{1}{3} =(2^3)^\frac{1}{3}[/tex]

Step 5.

We need to reduce this fraction, the 3 in x to the lowest terms.

This can be done by dividing out those factors that appear both in the numerator and in the denominator.

In our example, 3 is the common factor.

Rewrite the equation: [tex]x=2^\frac{3}{3}[/tex]

Step 6.

Lastly, we'll need to do the same thing as we did in step 5. Reduce the fraction in [tex]x=2\frac{3}{3}[/tex]. This can be done by dividing out those factors that appear both in the numerator and in the denominator.

Hence, the common factor is 3 since it occurs both in the numerator and the denominator.

Hence, x = 2.

what is the 30th term In the sequence 10,7,4,1-3,...
determine the term to term rule​

Answers

Answer:

7

Step-by-step explanation:

ok so it 7 but 10 is out so is 3

I need this answered as soon as possible

Answers

Answer:

34

Step-by-step explanation:

basically you need to actually put something in the black photo there

Answer:

its black Ф_Ф

Step-by-step explanation:

Which dilation is shown by the graph?

Answers

Answer:

D. D₂ (∆XYZ)

Step-by-step explanation:

Dₙ = (x,y) → ((n)x, (n)y)

_________________

X = (-1, 2).

Y = (2, -1).

Z = (-2, -1).

_________

Dₙ ∆XYZ:

X(-1, 2) → X'(-2, 4)

Y(2, -1) → Y'(4, -2)

Z(-2, -1) → Z'(-4, -2)

______________

-2 / -1 = 2, 4 / 2 = 2.

4 / 2 = 2, -2 / -1 = 2.

-4 / -2 = 2, -2 / -1 = 2.

_______________

D₂ = (x,y) → ((2)x, (2)y).

X(-1, 2) → ((2)(-1), (2)(2)) = X'(-2, 4)

Y(2, -1) → ((2)(2), (2)(-1)) = Y'(4, -2)

Z(-2, -1) → ((2)(-2), (2)(-1)) = Z'(-4, -2)

_________________________

Solve the equation for x, and enter your answer in the box below.
x + (-12) = 11
Answer here

Answers

x+(-12)=11
+12 +12
x =23

Answer:

X=23

Step-by-step explanation:

x + (-12) = 11

Open the bracket

x-12=11

Collect like terms

X=11+12

X=23

3. Write the inverse of the function g(x) =x-3/5

Answers

Answer:(x)= 0.6

Step-by-step explanation:

How long is side c ? ​

Answers

Answer:

you do pythagorean theorem

Step-by-step explanation:

the base is 8 and the side length is 6 so you do 8²+6²

8²=64 +6²=36

64+36=100 you have to square 100 which is 10

C=10

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