Write an equation of the line that passes through (-1,4) and is perpendicular to the line shown.

Answers

Answer 1

Answer:

 y= -3/4x - 4

Step-by-step explanation:

To write an equation that is perpendicular to a given line, take the negative reciprocal of the given slope. the given slope is 4/3, so the negative reciprocal is -3/4.

Using slope-intercept form of a linear equation, y=mx+b substitute in -3/4 for "m" the slope.

y=-3/4x+b

Now you need to "b" the y-intercept using the given point (-4,-1). Substitute the values in the equation. -1=-3/4(-4)+b simplify

                           -1= 3 + b    subtract 3 for both sides

                           -4=b

         substitue -4 for b.   Now you have    y= -3/4x - 4    this is your answer.


Related Questions

Explain two different ways to find a new value after an original value is increased by 30%.

Please help me.

Answers

Answer:1

Step-by-step explanation:

Jamal and Samuel are saving for a camping trip. Jamal starts with $18 and saves $5 each week. Samuel starts with $10 and saves $7 each week. Use the drop-down menus to complete the rule for the amount of savings for each boy.

Answers

Answer:

4 weeks

$28

Step-by-step explanation:

Let

x = number of weeks

Jamal's savings = 18 + 5x

Samuel's savings = 10 + 7x

Equate both savings

Jamal's savings = Samuel's savings

18 + 5x = 10 + 7x

18 - 10 = 7x - 5x

8 = 2x

x = 8 / 2

= 4

x = 4 weeks

Check:

18 + 5x

18 + 5(2)

18 + 10

= $28

Each boy would have saved an equal amount of $28 at the end of the 4th week

10/3 = x divided by -5/2
x =?

Answers

Answer:

-0.3x

Step-by-step explanation:

if you divide all of the number up you will get -0.3x

Answer:

Not possible

Step-by-step explanation:

The reason why its not possible is because to figure out a x type of problem, there needs to be a answer to it.

Lets try it solve it to make better sense.

10/3 = 3.33333333333

-5/2 = -2.5.

Divide.

= -1.33333333333.

If this is possible, the answer is -1.33333333333.

Fraction = -4/3.

6.
X-4y=8
Find the slope.
a) -1/4
b) 1/4
C) -4
d) 4.

Answers

Answer:

B. 1/4

Step-by-step explanation:

Estimate the quotient.
802 = 43

Answers

Answer:

Step-by-step explanation:

if you need to estimate 802/43 i assume,

think of 80/4=20

Find the measurement indicated in each parallelogram. Send help pleaseeee

Answers

Answer:

A

Step-by-step explanation:

The opposite sides of a parallelogram are congruent, then

WT = VU = 21.3 → A

1) In a bag of red and green sweets, the ratio of red sweets to green sweets is 3:7. If the bag contains 49 green sweets, how many red sweets are there?

Answers

Answer:

Red sweets = 21

Step-by-step explanation:

Let there are 3x red sweets and 7x green sweets.

Total no of 49 green sweets.

ATQ,

7x = 49

x = 7

Red sweets = 3x

= 3(7)

= 21

Hence, there are 21 red sweets.

The graph of f(x) = 4x3 – 13x2 + 9x + 2 is shown below.


On a coordinate plane, a function is shown. The function starts from the bottom of quadrant 3 and goes up through the x-axis at (0, negative 0.25) and then through the y-axis at (0, 2). It then starts to curve down at (0.5, 4) until it reaches (1.75, negative 0.5). It then curves up and crosses the x-axis at (2, 0) and goes up approaching x = 3.

How many roots of f(x) are rational numbers?
0
1
2
3

Answers

Answer:

3

Step-by-step explanation:

f(x) = 4x^3 – 13x^2 + 9x + 2

This looks complicated but all we need to find are the Roots

We are looking for when y=0

So given each part of the information, we can label how many times it happens

The function starts from the bottom of quadrant 3: Starts lower left

and goes up through the x-axis at (0, negative 0.25) : This is ONE ROOT

and then through the y-axis at (0, 2). : It's now on the 2nd quartile

It then starts to curve down at (0.5, 4): It's moving towards y=0

until it reaches (1.75, negative 0.5).: It has now passed y=o and there are TWO ROOTS

It then curves up and crosses the x-axis at (2, 0) and goes up approaching x = 3: It has passed y=0 again, so there are THREE ROOTS

This polynomial function has 3 ROOTS

Answer: D. 3

Step-by-step explanation:

EDGE 2023

help pls im stuck thank u guys

Answers

Answer:

The answer is 36.

Step-by-step explanation:

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

First, divide 108 by 12.

The result is 9.

Now square root 9.

The result is 3.

Now, multiply 12 by 3.

The result is 36.

To check that this is the pattern, we multiply 36 by 3, and we indeed see that 3 times 36 is equal to 108.

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

#teamtrees #WAP (Water And Plant)

Solve for x and y
60°
у
Х
30°
73

Answers

Answer:

x=7

y=14

Step-by-step explanation:

this is a special 30-60-90 right triangle bc there is a right angle marker and a 60 degree and 30 degree angle

in 30-60-90 right triangles the short leg is x, the long leg is x√3, and the hypotenuse is 2x

it is given that the long leg is 7√3, and since the long leg equals x√3, then x equals 7

so the short leg, x, is 7  and since the hypotenuse is 2x, 2(7) =14

Please help with this question (only b and c) please​

Answers

Answer: they are equal

Step-by-step explanation:

Since they are on opposite sides you just have to measure one and you got the answer to question b

Answer:

they are eqaul

Step-by-step explanation:

work out the value of x

Answers

Answer:

x+3x+90=360(sum of complete turn)

4x=360-90

4x=270

x=270/4= 67.5

Step-by-step explanation:

You buy pounds of trail mix. The mix costs ​$ per pound. What is the total price for the trail​ mix?

Answers

Complete question :

You buy 3.9 pounds of trail mix. The mix costs ​$2.99 per pound. What is the total price for the trail​ mix?

Answer:

$11.661

Step-by-step explanation:

Given that :

Cost per pound of trail mix = $2.99

Pounds of trail mix purchased = 3.9 pounds

Total price of the trail mix :

(Cost per pound of trail mix * pounds of trail mix purchased)

($2.99 * 3.9 pounds)

= $11.661

In the diagram below of triangle ABC, DE is parallel to AC. IF AD = 20, DB = 10 and AC = 33, find DE.​

Answers

Answer:

11

Step-by-step explanation:

It's proportions my son.

x / 33 = 10 / 30

It's 10/ 30 because the whole BA is 30 in total

Then cross multiply.

30x = 330

x = 11

Leila bought 3 bananas, which weighed a total of Three-fourths of a pound. If each banana weighed the same amount, what is the weight of each banana? StartFraction 1 Over 12 EndFraction of a pound StartFraction 1 Over 9 EndFraction of a pound One-fourth of a pound One-third of a pound

Answers

Answer:

[tex]Each\ Weight = \frac{1}{4}[/tex]lb

Step-by-step explanation:

Given

[tex]Weights = \frac{3}{4}lb[/tex]

[tex]Bananas = 3[/tex]

Required

Determine the weight of each

To do this, we simply divide the total weight by the number of bananas.

[tex]Each\ Weight = \frac{3}{4}/3[/tex]

Convert to multiplication

[tex]Each\ Weight = \frac{3}{4} * \frac{1}{3}[/tex]

[tex]Each\ Weight = \frac{1}{4}[/tex]

Hence, each banana weighs 1/4 of a pound

Ans C

Ste-by-ste-exp

its 1/4

Lina spent 1/3 of her money. She now has $20 left. How much money did she have originally

Answers

Answer:

60

Step-by-step explanation:

1/3 of 60 is 20

in other words

20 x 3 = 60

60 Dollars.
Explanation- common sense.

Okay I have a lot of points so here you goooooo

Answers

Answer:

thanks for free points

Step-by-step explanation:

please follow me


16. Peter was told by his teacher that he needed to measure the height of the building in which his
classroom was located. He backs away from the building and places a mirror on the ground
between him and the wall. When he can see the top of the building in the mirror, Peter is 2 feet
9 inches away from the mirror and the mirror is 11 feet away from the wall of the building. Peter
knew his eye level was exactly 5 ft 6 inches off of the ground, so he was able to calculate the
height of the building. How tall is the building in feet?

Answers

Answer:

IT'S 20 FEET JUST FOUND OUT

Step-by-step explanation:

Line z has a slope of 2.5 and goes through point (4, 13). Which equation best represents line z?
Answer in the form y=mx+b please

Answers

Answer:

y = my + b

Step-by-step explanation:

According to my calculations. the equation best representing Z is the one above

I would think your section of wilderness will be satisfied is the new wildlife refuge has its dimensions are 5×10 to the fifth power meters by 4×10 to the 4th m find the area of land in square meters

Answers

Answer:

2×10¹⁰ m²

Step-by-step explanation:

Dimensions of rectangle:

5×10⁵ m and 4×10⁴ m

The area is the product of the two dimensions:

5×10⁵ m × 4×10⁴ m =20×10₉ m² =2×10¹⁰ m²

What is the slope of the line? *

Answers

Answer:

- 1.5

Step-by-step explanation:

I suggest to make a table

x       y

-2      3

2     -3

from 3 to -3, you subtract 6

from -2 to 2, you add 4

so y/x

-6/4 = -1.5

Slope is -1.5

Hope this helped!

Zoey made 6 1/2 cups of trail mix for a camping trip. She wants to divide the trail mix into 3/4 cup of servings. Twelve people are going on the camping trip. Can zoey make enough 3/4 cup servings so that each person on the trip has on serving?

Answers

Answer:

No

Step-by-step explanation:

Given that:

Total number of cups of trail mix available for camping trip = [tex]6\frac{1}{2}[/tex]

Amount of one serving contains = [tex]\frac{3}{4}[/tex] cups

Number of people at the trip = 12

To find:

Whether each person will be able to get the servings?

Solution:

Here, we can find the total number of servings by dividing the total number of cups of trail mix with the amount of one serving.

First of all, let us convert the mixed fraction into fractional number.

[tex]6\dfrac{1}{2} = \dfrac{6\times 2+1}{2} = \dfrac{13}{2}[/tex]

Therefore, total number of servings available as per the given quantities:

[tex]\dfrac{\frac{13}2}{\frac{3}4}\\\Rightarrow \dfrac{13\times 4}{2\times 3} \\\Rightarrow \dfrac{26}{3}\\\Rightarrow \approx 8[/tex]

So, With this type of servings Zoey will be able to serve only 8 people.

Therefore, there is not enough servings.

Solve for x: 3x +4= 9.2 + 3
1
A 3
B
6
1
3
None of the above.
D

Answers

The answer is D none of the above because the actual answer is 12.06 repeating. Hope this helps.

-x+4=x+6
Show full work

Answers

Answer:

x=-1

Step-by-step explanation:

Step 1: Subtract x from both sides.

−x+4−x=x+6−x

−2x+4=6

Step 2: Subtract 4 from both sides.

−2x+4−4=6−4

−2x=2

Step 3: Divide both sides by -2.

−2x/−2= 2/−2

x=−1

Hope this helped :)

what is the solution to 9+4n -79

Answers

Answer:

17.5

Step-by-step explanation:

You have to find n right?

9+4n-79 = 0

-> 4n = 70

-> n = 17.5

36 is what percent of 100?

A. 0.36%
B. 2.78%
C. 277.8%
D. 36%

Answers

Answer: it B. 2.78%

Step-by-step explanation: if it wrong sorry

Answer:

D

Step-by-step explanation:

we know how to find a percent by making it a fraction out of 100

36/100 is 36% so D

9x+1/2y51
7x+1/3y=39

Answers

what’s the question though lol

Please help me I forgot how to do it

Answers

Answer:

b

Step-by-step explanation:

Answer : b




Explanation : it wouldn’t make sense for them to be the other ones

Which of the followin statements are true about the equation 10x + 45x - 13 = 11(5x + 6) *

Answers

Step-by-step explanation:

The given expression is :

10x + 45x - 13 = 11(5x + 6)

We can simplify it as follows :

Opening parenthesis on RHS

10x + 45x - 13 = 55x + 66

Taking like terms together,

55x-55x = 13+66

0 = 13+66

The given expression has no solution, as the variable cancels out woh each other. It is a meaningless expression.

ILL GIVE BRAINLEST
What is the independent variable (x) for this situation?


number of cases of paper

not enough information to determine independent quantity

cases of paper per tree

number of trees used

trees used per case of paper​

Answers

Answer:

The independent variable would be

trees used per case of paper

Step-by-step explanation:

Answer:

Number of trees used

Step-by-step explanation:

The number of trees used is the independent variable because it doesn't depend on anything, meaning it isn't changed by other variables. The number of cases of paper would be the dependent variable because it depends on the number of trees used.

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