The given line passes through the points and (4,1).
On a coordinate plane, a line goes through (negative 4, negative 3) and (4,1).
What is the equation, in point-slope form, of the line that is perpendicular to
the given line and passes through the point (-4, 3)?​

The Given Line Passes Through The Points And (4,1).On A Coordinate Plane, A Line Goes Through (negative

Answers

Answer 1

Hey there! :)

Answer:

y -3 = -2(x + 4).

Step-by-step explanation:

Begin by calculating the slope of the line shown in the graph. Use the slope formula:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Plug in two coordinates:

[tex]m = \frac{1-(-3)}{4-(-4)}[/tex]

Simplify:

[tex]m = \frac{4}{8}[/tex]

[tex]m = \frac{1}{2}[/tex]

Therefore, the slope of the line is 1/2.

A line that is perpendicular contains a slope that is the negative reciprocal. Therefore:

1/2 --> -2.

Plug the slope into the point-slope formula:

y -3 = -2(x + 4). This is your equation in point-slope form!

Answer 2

Answer:

y-3 = -2(x+4)

Step-by-step explanation:


Related Questions

-2n-13= - 3n - 5 pls solve!

Answers

Answer:

n = 8

Step-by-step explanation:

-2n - 13 = -3n - 5

-2n + 3n = -5 + 13

n = 8

Hope this helps. Have a nice day!

Hey Your answer is n=8

SOLVE THIS PUZZLE PLEASE

Answers

Answer:

1) Median

2) Equilateral

3) Isosceles

4) Altitude

5) Congruent

6) Orthocenter

7) Centroid

8) Circumcenter

9) Incenter

A group of students must collect at least $160 to organize a science fair. They have already collected $20. Which graph best represents the possible amounts of money the students still need to collect? (1 point) Number line graph with closed circle on 160 and shading to the right. Number line graph with closed circle on 140 and shading to the right. Number line graph with closed circle on 20 and shading to the right Number line graph with closed circle on 180 and shading to the right.

Answers

Answer:

Number line graph with closed circle on 20 and shading to the right or c

Step-by-step explanation:

This is the best answer because you start of at 20 dollars and need to continue collecting money till you have 160 dollars.

Answer:

The 3rd one

Step-by-step explanation:

You have already collected $20. You need at least $160, but having even more money would be great. You need $160, but any number to the right of 160 would be even better as your goal.

Twice the sum of two numbers is 72 if one number is 20 then the other number is

Answers

Answer:

16

Step-by-step explanation:

20 + 16=36 36x2=72

Find the total surface area of this square based
pyramid.

Answers

Answer:

125

Step-by-step explanation:

Surface area is the total area of all the surfaces of a shape. In order to calculate the surface area we need to consider each unique face individually.

The base of the pyramid is a square of side-length 5, and its area is 5×5=25

The side faces form an iscosoles triangle of height 10 and base length 5, its area is 10×5×[tex]\frac{1}{2}[/tex]=25.

The total surface area = Triangle +Triangle +Triangle +Triangle +Square = 25+25+25+25+25 = 125

Think of a number, multiply it by 6 and increase the product by 7. It will equal a number, multiplied by 2 and
then increased by 6. What number is it?
1
4
1
10
ent
1
8

Answers

Answer:

x = -1/4

Step-by-step explanation:

Step 1: Write out 1st equation

6x + 7

Step 2: Write out 2nd equation

2x + 6

Step 3: Set equal to each other

6x + 7 = 2x + 6

Step 4: Solve

4x + 7 = 6

4x = -1

x = -1/4

D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is m∠DEF?

Answers

Answer:

m∠DEF is 90°

Step-by-step explanation:

It is given that  D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. Thus, using the distance formula, we have

and

Also,  

Now,

Thus, Pythagoras theorem holds.

Hence, m∠DEF is 90°⇒ΔDEF is right angled triangle which is right angled at E.

DE^2 = 1 + 16 = 17.

EF^2 = 16 + 1 = 17.

DF^2 = 9 + 25 = 34.

Since (DE)^2 + (EF)^2 = (DF)^2,

angle E is 90 degrees.

DF must be the hypotenuse

Here look at that

1 point
Ana drinks orange juice every morning. She uses a glass that holds 1/8 of the container of
orange juice. She has 7/10 of a container left in the refrigerator. How many glasses of
orange juice will she be able to have? *
Your answer

Answers

Step-by-step explanation:

Ana drinks one glass of orange juice which contain 1/8 of the container in every eight day one container of orange juice finish.So,now we should do 8*7 for the reasult.So, the answer should be 56.

Lindsey lives 32 blocks from the grocery store. It takes her 9 minutes to walk 12 blocks. If she continues to walk at the same rate, how long would it take her to walk 32 blocks?

Answers

Answer:    

if she countinues to walk at that rate it will take her 24 minutes to walk the 32 blocks

Step-by-step explanation:

i took the 12 blocks every 9 minutes and counted for a total of 36 blocks which would take 27 minutes then since we want to know how long it would take for her to walk 32 blocks I found how long it would take her to walk 4 blocks which is 3 minutes (12/3 = 4 9/3 =3) and i subtracted those 3 minutes from the 36 block walk giving you 24 minutes for 32 blocks

hope this helps

PLEASE I NEED HELP!!. i don't know how to do this.

Answers

Answer:

∠ FGE = 52.5°

Step-by-step explanation:

The secant- secant angle is half the difference of the measures of the intercepted arcs, that is

∠ FGE = [tex]\frac{1}{2}[/tex] (arc BD - arc FE )

           = [tex]\frac{1}{2}[/tex] × (135 - 30)°

           = [tex]\frac{1}{2}[/tex] × 105°

           = 52.5°

Help with this one...Many thanks

Answers

Answer:

Step-by-step explanation:

Yes

the quotient. Simplify your answer
b - 4
b
4
Enter the

Answers

Answer:b-4/4

Step-by-step explanation:

In a class of 80 students, every student had to study mathematics or biology or both mathematics and biology ,If 65 students studied mathematics and 62.5% of teh class studies biology ,how many students studied both subjects.pls detial properly​

Answers

Answer:

Well, 80 x 62.5% is 50.

So, 65 + 50 is 115.

I think there is a mistake in the question

Well, It could not, but please check again TT

Step-by-step explanation:

Given that[Image Displayed] What is the value of f(x) when x = 2?

a.
2.5
c.
1
b.
2
d.
0.5

Answers

Answer:

The answer should be d)0.5

Step-by-step explanation:

2/2^2 = 2/4= 1/2 or 0.5

Answer:

0.5

Step-by-step explanation:

If X = 2, then it would be 2/ 2 to the 2 power, so it would be 2/4 or 1/2 or 0.5.

Use the graph of f to describe the transformation that results in the graph of g. f(x) = log x; g(x) =

Answers

Hey there!

Answer:

2nd choice, The graph of g(x) is the graph of f(x) reflected in the x-axis, expanded vertically by a factor of 5, and translated 8 unit(s) down.

Step-by-step explanation:

Recall that the transformation form of a logarithmic function is:

y = ±alog(b(x-h))+k

Given g(x) = -5logx-8:

Negative in front of equation: reflection over the x-axis

'a' value of 5: expanded vertically by a factor of 5

'k' value of -8: translated 8 unit(s) down.

Calculate the heigh (x) of the tree

Answers

Answer:

87 feet

Solution,

[tex]tan \: theta = \frac{opposite}{adjacent} [/tex]

[tex]tan \: 60 = \frac{h}{50} \\ 5 \: tan \: 60 = h \\ h = 50 \: tan \: 60 \\ h = 87 \: feet[/tex]

hope this helps..

Good luck on your assignment..

HELP ME!! I WILL GIVE BRAINLIEST!!! Express your answer in SCIENTIFIC NOTATION. 9.3 × 10⁷ - 3.4 × 10⁶ = __________ plz help!!

Answers

Answer:

9.3 × 10⁷ - 3.4 × 10⁶ = 89 600 000

Which is 8.96*10^7 in scientific notation

Hope this helps you

BRAINLIEST!!! Mary went up the Old Tower taking 3 steps per second. Then she carefully came down from the tower taking 2 steps per second. It took Mary 25 seconds longer to come down than to go up. How many steps does the Old Tower have?

Answers

Answer:

The old tower has 65 steps.

(I think,)

Answer:

150 steps

Step-by-step explanation:

For every 6 steps going up it takes a extra 1 second to go down. Since it took Mary 25 seconds longer to get down you multiply 6 by 25 and you'll get 150 steps.

What is the factored form of the binomial expansion 81x^2 + 144xy + 64y^2?
(9x – 8y)^2
(9x + 8y)^2
(3x – 4y)^2
(3x + 4y)^2

Answers

Answer:

( 9x+8y)^2

Step-by-step explanation:

81x^2 + 144xy + 64y^2

We recognize that this is a perfect square trinomial

perfect square trinomial is of the form: and factors to

(ax)2 + 2abx + b2 =  (ax + b)2

(9x)^2 + 2 * 9x * 8y + (8y)*2 = ( 9x+8y)^2

Answer:

option b)

Step-by-step explanation:

a² + 2ab + b² = (a + b)²

81x² = 9*9*x² = (9x)²

64y² = 8*8*y² = (8y)²

81x² + 144xy + 64y² = (9x)² +  2* 9x * 8y + (8y)²

                                = (9x + 8y)²

Another asap question need help!!!!!!

Answers

Hey there! :)

Answer:

f(x + 5/4) --> f(x) is translated 5/4 units left.

f(x) - 5/4 --> f(x) is translated 5/4 units down.

Step-by-step explanation:

Recall that a linear equation in transformations form is:

f(x) = ±a(b(x-h))+k

In this instance:

f(x + 5/4) the 'h' value is -5/4, meaning the graph is translated 5/4 units left.

f(x) - 5/4 has a 'k' value of -5/4, so the graph is translated 5/4 units down.

HURRY PLZ!! IF U WANT BRAINLIEST???
When a phone call is placed to the Petrosini residence, there is a 15% chance that it will be answered by Mr. Petrosini, a 39% chance that it will be answered by Mrs. Petrosini, and a 46% chance that it will be answered by Penny Petrosini. Which person is least likely to answer the telephone?

Answers

Answer:

Mr. Petrosini

Step-by-step explanation:

Because he has the least percentage of picking it up 15 out of a 100

and Mrs. Petrosini has a 39 out of 100 chance of picking it up

Penny Petrosini has a 46 out 100 chance of picking it up

So therefore Mr.Petrosini is the least likely to pick up the phone.

Mr. Petrosini as he has the lowest percentage

Multiply.
Simplify your answer as much as possible.

Answers

Answer:

12u^6y^6

Step-by-step explanation:

We can multiply the like terms together, then combine them all.

2 · 2 · 3 = 12

u · u^5  = u^6

y³ · y³ = y^6

If we combine them all, this gets us 12u^6y^6

Keshawn is asked to compare and contrast the domain and range for the two functions.

f(x) = 5x
g(x) = 5x

Which statements could he include in his explanation? Select two options.

Answers

Answer:

fx=5x

Step-by-step explanation:

The answer is A and E

Items 17-18: Use the diagram to the right. I just need 17-18 please and thank you!!!

Answers

Answer:

17. (B)

18. both opposite sides are equal in length and height.

Step-by-step explanation:

17 is B
18 both opposite sides are equal in length and height

Solve 2x+2>10

A. x < 4
B. x > 4
C. x > 6
D. x < 6

Answers

Answer:

B

Step-by-step explanation:

2x+2>10

2x>10-2

x>8/2

x>4

Please help me ASAP (Each choose is Yes/No)

Answers

Answer:

MARK me brainliest please

Step-by-step explanation:

yes

yes

no

no

yes

The measures of two angles of pairs of triangles are given. Which pairs of triangles are similar?
Triangle 1:25°, 35
Triangle 2: 25°, 120
Triangle 1: 100°, 60°
Triangle 2: 100°, 20°
Triangle 1: 90°, 45
Triangle 2: 45°, 40
Triangle 1: 37", 63
Triangle 2:63', 107
Triangle 1: 90° 20°
Triangle 2: 20°, 90°

Answers

Answer:

Triangle 1: 90°, 20°

Triangle 2: 20°, 90°

Step-by-step explanation:

According to AA or Angle-Angle Similarity, any two triangles with two of the same angle measurements are similar. Only Triangle 1: 90°, 20° and Triangle 2: 20°, 90° have the same two angle measurements.

A department store sells logo shirts at an original price of $20.

Answers

Answer:

Answer is below.

Step-by-step explanation:

Macy forgot that a discount of 25% means the cost is multiplied by 75%.

Take the original price of the shirt, $20, times 75% for each month and times 50% for the employee discount.

20 x 0.75 x 0.75 x 0.50 = $5.63 is the price of the shirt for the employees using all of the discounts.

Please answer this question in 2 minutes

Answers

Answer:

(8, 6)

Step-by-step explanation:

M  (9. 4)

TU (x, y)

U (10.2)

T:

9= (x+10)/2 ⇒ x= 84= (y+2)/2 ⇒ y= 6

T = (8, 6)

Answer:

T:  (8, 6)

Step-by-step explanation:

The midpoint formulas for xm and ym involve the average x value and the average y value.  Let T:  (a, b) and V: (10,2).  The actual midpoint is M(9,4).

Looking at the x-coordinates first:

a + 10

--------- = 9 (x-coordinate of the midpoint)

    2

Then a + 10 = 18 and a = 8 (x-coordinate of point T)

Next, look at the y-coordinates:

b + 2

-------- = 4 (y-coordinate of the midpoint)

   2

Then b + 2 = 8 and b = 6

Then the x- and y-coordinates of T(a, b) are 8 and 6 respectively:

T:  (8, 6)

pls help me with algebra i dont get it

Answers

Answer:

(0,2)

Step-by-step explanation:

i used a graphing calculator hopefully its right

Answer:

(-7,-14)

Step-by-step explanation:

you x is decreasing by -7 so your x is -7 and your y  is decreasing by -14.

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