On a coordinate plane, line A B goes through (negative 2, 4) and (0, negative 4). Point Z is at (0, 2).
Which point is on the line that passes through point Z and is perpendicular to line AB?On a coordinate plane, line A B goes through (negative 2, 4) and (0, negative 4). Point Z is at (0, 2).
Which point is on the line that passes through point Z and is perpendicular to line AB?

(–4, 1)
(1, –2 )
(2, 0)
(4, 4)

Answers

Answer 1

Answer:

(–4, 1)  

Step-by-step explanation:

1. Calculate the slope of AB

m₁ = (y₂ - y₁)/(x₂ - x₁) = (-4 - 4)/(0 -(-2))= -8/2 = -4

2. Calculate the slope of the perpendicular line

m₂ = -m₁ = ¼

3. Calculate its y-intercept

Point Z, (0,2), is the y-intercept.

4. Write the equation for the line

Insert the values of m and b

y = ¼x + 2

5. Check the points

(a) (-4,1)

1 = ¼(-4)+ 2

1 = -1 + 2

1 = 1

TRUE

(b) (1,-2)

-2 = ¼(1) + 2

-2 = ¼ + 2

-2 = 2¼

FALSE

(c) (2,0)

0 = ¼(2) + 2

0 = ½ + 2

0 = 2½

FALSE

(d)  

4 = ¼(4) + 2

4 = 1 + 2

4 = 3

FALSE

Only (-4,1) is on the perpendicular line.

The diagram shows the line going through AB in red and the perpendicular line in purple.

On A Coordinate Plane, Line A B Goes Through (negative 2, 4) And (0, Negative 4). Point Z Is At (0, 2).Which
Answer 2

Answer:

-4,1

Step-by-step explanation:


Related Questions

What is the equation of the line shown

Answers

Answer:

the answer is y = x-5

In the volume formula, V = Bh, what does the capital B stand for?


base

area of the base

two times the base

perimeter of the basea

Answers

Base, I don’t know if that’s correct so better take another person to answer

Answer:

B. Area of the Base

Step-by-step explanation:

Hope this helps you guys :D

After a party, 14 of a pan of lasagna is left over. If the leftover lasagna is divided equally among 4 containers, how much leftover lasagna will be in each container?

Answers

There will be 3 1/2 leftover lasagna in each container.

14/4=3.5

Answer: Once spliting and sharing the lasagna, there will be 3 1/2 or 3.5 left. :)

PLEASE HELP!!!! I HAVE TO GO TO SOFTBALL SO I HAVE TO HURRY!!!!!! PLEASE HELP!!!!!!!!!!!!!!!!


A cylinder-shaped water tank is 160 cm tall and measures 87.92 cm around.



What is the volume of the water tank?


Enter your answer as a decimal in the box. Use 3.14 for π.

Answers

Answer:

Step-by-step explanation:

The volume formula for a cylinder is

[tex]V=\pi r^2h[/tex]

In order to find the radius we need to use the circumference we were given. The formula for the circumference is

[tex]C=2\pi r[/tex]

Filling in the info about the circumference value of 87.92:

[tex]87.92=2(3.14)r[/tex] or

87.92 = 6.28r so

r = 14

Now that we know the radius we can fill in the volume formula:

[tex]V=(3.14)(14)^2(160)[/tex] and

V = 98470.4 cm cubed

the shape of a toy cylinder has a radius of 5cm and height of 8cm on top a hemisphere of radius 5cm , calculate the volume of the toy

someone should pls help me

Answers

Answer:

  890.1 cm^3

Step-by-step explanation:

The volume of the cylinder is given by the formula ...

  V =  πr^2h

Filling in the given numbers, we find the volume of the cylinder to be ...

  V = π(5 cm)^2(8 cm) = 200π cm^3

__

The volume of a hemisphere is given by the formula ...

  V = (2/3)πr^3

Filling in the given radius, we find the hemisphere volume to be ...

  V = (2/3)π(5 cm)^3 = 250π/3 cm^3

__

The total volume of the toy is presumed to be the sum of these volumes, so is ...

  toy volume = (200π cm^3 +250π/3 cm^3) = 850π/3 cm^3

  toy volume ≈ 890.1 cm^3

While in the library, 44 students checked out animal books, 28 students checked out mystery books, and twice as many students who checked out mystery books checked out joke books. Which of the following is a good estimation of the total number of books checked out?

Answers

Answer:

128

Step-by-step explanation:

44+28+(28x2)=128

3x - 8y = 1
6x + 5y = 12

Answers

Answer:

1/2

Step-by-step explanation:

Use the grouping method to factor the polynomial below completely.
x3 + 2x2 + 3x + 6
A. (x2 + 2)(x+3)
B. (x2 + 3)(x+3)
C. (x2 + 2)(x + 2)
D. (x + 3)(+ 2)

Answers

Answer:

D. (x2 + 3)(x+ 2)

Step-by-step explanation:

When x3 + 2x2 + 3x + 6 is grouped, it is simplified to (x2 + 3)(x + 2).

Sofia surveyed students at her school
about the language they speak at home.
She got these results. Write decimal
equivalents for the fractions and order
the numbers from greatest to least.
english:1/4
Ukrainian: 1/20
Vietnamese:0.02
French: 1/10
Chinese:0.02
other: 0.06





Answers

Answer:

English,French,Vietnamese,Chinese,Ukrainian,other

Step-by-step explanation:

so basically the question is asking for us to convert the fractions into decimals and then, order the them from greatest to least

Q:how do you convert a fraction into a decimal?

A: numerator divided by denominator for example if you had to convert 7/9 into a decimal you would do 7 divided by 9!!!

English:1/4 is equivalent to 0.25

Ukrainian:1/20 is equivalent to 0.05

Vietnamese:0.02 is already in decimal form

French:1/10 is equivalent to 0.1

Chinese:0.02 is already in decimal form

Other:0.06 is already in decimal form

Now we got all the fractions converted into decimals

0.25,0.05,0.02,0.1,0.02,0.06

Now we have to put these number from greatest to least

Q:how do we put it in greatest to least?

A: if there are more zeros in the place value its more likely to be a small number for example 0.06 is smaller than 0.3

0.25 is the greatest

0.1 is the second greatest

0.02 is the third greatest

0.02 is the third greatest

0.05 is the 4th greatest

0.06 is the 5th greatest

Now we got them from greatest to least so we match the decimal numbers to the language

Starting from greatest to least is: English,French,Vietnamese,Chinese,Ukrainian,other

pls mark me brainliest

Em uma perfumaria, um cliente pode montar um kit formado por um sabonete, um hidratante e um perfume. A loja possui 5 opções de sabonete, 8 de hidratante e 4 de perfume. Quantos kits diferentes um cliente poderá formar na perfumaria?

Answers

Answer:

The customer can form 160 different kits in the perfumery

Step-by-step explanation:

Here, we are interested in knowing the number of different kits a customer can form in the perfumery.

Now since each kit contains 1 each of moisturizers, soaps and perfume, what will happen is that we are going to select one each of the options

This means we shall be selecting 1 out of 5 soaps, 1 out of 8 moisturizer and 1 out of 4 perfumes

Mathematically, the number of ways we can select r items out of a total of n can be calculated as nCr

Applying this in the case we have;

It would be;

8C1 * 5C1 * 4C1

where

8C1 = 8, 5C1 = 5 and 4C1 = 4

Thus the number of options we have will be

= 8 * 5 * 4 = 40 * 4 = 160 kits

Responda:

O cliente pode formar 160 kits diferentes na perfumaria

Explicacao/etapas:

= 8 * 5 * 4 = 40 * 4 = 160 kits

espero que tenha ajudado! :) ......... tchau!

URGENT
classify the following triangle check all that apply.

A. obtuse
B.Isosceles
C.Scalene
D.Acute
E.Right
F.Equilateral​

Answers

Answer:

Scalene, Acute

Step-by-step explanation:

Scalene because each side has a different length

obtuse because one angle is more than 90°

I need the answer to this question.

Thanks

Answers

B is the answer because section p is increasing

Simplify (2x-3)(2x-2)

Answers

Answer:

We get the final answer of -4x + 6

Step-by-step explanation:

Let's simplify step-by-step.

2x −3(2x−2)

Distribute:

= 2x+ (−3)(2x) + (−3)(−2)

= 2x+ −6x + 6

Combine Like Terms:

= 2x + −6x + 6

= (2x + −6x) + (6)

= -4x + 6

If a triangle has sides of 8,11, and 13. Is it a right triangle?

Answers

If a² + b² = c², then the triangle is right.

So we have (8)² + (11)²  ?  (13)²

(8)² is 64, (11)² is 121, and (13)² is 169.

So we have 64 + 121 ? 169

64 + 121 is 185 and we can see that 185 > 169.

This triangle would not be a right triangle.

In fact, it would be an acute triangle.

So no, it's not a right triangle.

whats 2x-15=20?
best answer plez

Answers

Answer:

x= 17.5

Step-by-step explanation:

add 15 on both sides

divide 2 on both sides after

STRUCTURE Write the ratio of the side lengths of the two cubes described in simplest form.
The volumes of the two cubes are 270x cubic inches and 32x2 cubic inches.
The surface areas of the two cubes are 6x4 square feet and 6(x + 1) square feet.

Answers

The answer is 24 because u have multiple it

which of these triangles is definitely not congruent to any of the others?

Answers

Answer:

A: triangle 4

Step-by-step explanation:

all other triangles have a right angle and triangle number 4 doe not

A =triangle 4
Jsjsj jejejsjns kkkkkkk

100 POINTS!!!

9. A rectangle is located on a coordinate plane. If the ordered pair (t, u) represents a vertex of this rectangle, which algebraic representation describes the effect of translating the rectangle 8 units up and 3 units left? (t, u) → (t + 3, u + 8) (t, u) → (t – 3, u + 8) (t, u) → (-t – 3, u + 8) (t, u) → (t + 8, u – 3)

Answers

Up is the y value and left is the x value.

In the point ( t,u) t is the x value and u is the y value.

Moving to the left, you subtract the value and moving up you add the value.

The answer would be (t, u) → (-t – 3, u + 8)

Answer:

above me  she/he right!!

Step-by-step explanation:

The diagram represents an 11 cm by 6 cm rectangular
What is the answer?

Answers

Answer:

See below.

Step-by-step explanation:

If you need the area it is 11 * 6 = 66 cm^2.

The perimeter is 2*11 + 2*6 =  34 cm.

How do you write this number using digits?

five hundred six thousand eight hundred twenty-seven

Answers

Answer: 506,827

Explanation: Google

work out the area of the triangle to 1 decimal place. 10cm, 13cm, 105 degrees

Answers

Answer:

Area = 62.8 cm²

Step-by-step explanation:

In the figure attached a triangle has been given with two sides and included angle between them.

Measures of two sides are 10 cm and 13 cm.

Measure of included angle = 105°

Since area of a triangle with two sides (a and b) and included angle (θ) is,

[tex]\text{Area}=\frac{a.b.\text{sin}\theta}{2}[/tex]

        = [tex]\frac{10\times13\times \text{sin(105)}}{2}[/tex]

       = 62.79

       ≈ 62.8 cm²

Therefore area of the given triangle is 62.8 cm²

what will be the another acute angle of right angle triangle is its one acute angle is 30 degree​

Answers

Answer:

60°

Step-by-step explanation:

90+30=120°

180-120=60°

Step-by-step explanation:

all sides of a triangle = 180

all sides of a triangle = 180

So 2 angle i.e. 90° (right angle) and 30° (given) and let third angle be x

so equation forms like

180 = 90+30+x

180 =120+x

180-120 =x

60 =x

SO THE ANSWER WILL BE 60°

HOPE IT WILL HELP YOU ☺️

What is the volume?
1 ft
1 ft
1 ft
cubic feet
Submit

Answers

Answer:

1^3 cubic feet

Step-by-step explanation:

Volume is a 3 dimensional unit. So, times all the side together.

1 times 1 times 1 = 1 cubic foot

I hope that helps.

Why does the graph not start at zero

Answers

Answer:

OPTION B

Step-by-step explanation:

A PERSON HEIGHT IS NOT ZERO WHEN BORN

And also time don’t start at 0

Issac runs 16 1/4 miles each week. He runs 6 3/8 miles on Sunday and 4 2/5 miles on Tuesday. How many miles does he run on Thursday if it is the only other day that he runs that week?

Answers

Answer:

5.225 miles on thursday or 209/40

Step-by-step explanation:

if we make it into decimals he runs 16.25 miles every week. on sunday he runs 6.375 miles and on tuesday it is 4.4. we are going to add what he’s run so far so

6.375 + 4.4 = 10.775 and then we will subtract that from 16.25 to get 5.225 left for thursday

can someone help me expand this polynominal?

Answers

Answer:

Step-by-step explanation:

( 5 - x) ( 4-x )

=5(4-x)-x(4-x)

=20-5x-4x+x^2

=x^2-9x+20

hope it helps...

。☆✼★ ━━━━━━━━━━━━━━  ☾  

Multiply first two values in brackets:

5 x 4 = 20

Multiply the outside values in the brackets:

-x * 5 = -5x

Multiply the inside terms:

-x * 4 = -4x

Multiply the last terms:

-x * -x = x^2

Place all values together:

x^2 - 5x - 4x + 20

Simplify it:

x^2 -9x + 20

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

a)
Factorise fully
2p - 4pq
b)
Factorise
r? - 100
c)
Factorise k2 + 13k + 30
d)
Solve
K + 13k + 30 = 0

Answers

a) 2p(1-2q)

b) dunno

c) k(2+13+30)

d) I’m not sure

Answer:

a) 2p(1-2q)

b) don't know what you mean by r?

c) (k+3)(k+10) using the S, P, N method

d) k²+13k+30=0

(I think you meant to write k squared as it makes more sense)

k=2

on a piece of paper,graph this system of inequalities then determine which answer choice matches the graph you drew and identify the number of solutions
y<3/2x-2
y<3/2x -8

Answers

Answer: b infinite number of solutions (blue and purple)

Step-by-step explanation:

There will be multiple solution for both inequality.

What is inequality?

Inequality refers to the phenomenon of unequal and/or unjust distribution of resources and opportunities among members of a given society. The term inequality may mean different things to different people and in different contexts.

According to the question

y<3/2x-2      ---------- (1)    

y<3/2x -8    -----------(2)

to take out points we have to take (1) as  y= 3/2x-2

x y

-4 -8

-2 -5

0 -2

2 1

4 4

6 7

same for (2) we take  y=3/2x -8

x  y

-2 -11

0 -8

2 -5

4 -2

6 1

Then we plot our graph which is shown in sheet attached

According to the graph we can see that they both are parallel to each other now we will shade left hand side of line as per the inequality

when we shade we will observe that points left side of equation (2) are common in both  .

Hence, there will be multiple solution .

To know more about inequality here :

https://brainly.com/question/15137133

# SPJ2

Yuron is sketching a scale drawing of a famous painting. The painting is 54 inches wide and 72 inches long. He used a scale factor of Two-thirds to make his sketch. How many inches wide is Yuron’s sketch?

Answers

Answer:

Yuron's painting is 36 inches wide.

Step-by-step explanation:

Given that Yuron is sketching a scale drawing of a famous painting which is 54 inches wide and 72 inches long. He used a scale factor of [tex]\frac{2}{3}[/tex] to make his sketch.

We are given to find the width of Yuron’s sketch.

Let, w and w' represents the width of the famous painting and  Yuron's painting.

Then, w = 54 inches,  w' = ?

We know that the scale factor is defined by

[tex]S=\frac{Length of a side of a dilated figure}{Length of the corresponding side of the original figure}[/tex]

Therefore, we have

[tex]\frac{2}{3} =\frac{Width og Yuron's painting}{Width of the famous painting}[/tex]

[tex]\frac{2}{3} = \frac{w}{w}[/tex]

[tex]\frac{2}{3}=\frac{w}{54}[/tex]

[tex]\frac{2}{3}=\frac{2*54}{3}[/tex]

[tex]w= 36[/tex]

Thus,  Yuron's painting is 36 inches wide.

Answer:

Yuron's painting is 36 inches wide.

Step-by-step explanation:

What is the square route of 25

Answers

Answer:

The answer to your question is 5.

Step-by-step explanation:

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