A line that passes through the points (-1, -4) and (4, 2) is shown.

Which equation is the equation of the line that is perpendicular to the given line and passes through the point (-3, 7) ?

The **equation** of the line that is **perpendicular** to the line that passes through the points (-1, -4) and (4, 2): D. 5x + 6y = 27.

**Perpendicular lines** have slopes with a product of -1, or are negative reciprocals.

First find the slope of the line that passes through (-1, -4) and (4, 2):

Slope (m) = change in y / change in x = (2 -(-4)) / (4 -(-1))

m = 6/5

The negative reciprocal of 6/5 is -5/6. This means that the **perpendicular line** is, m = -5/6.

To write the **equation** of the line that is **perpendicular** to the given line, substitute m = -5/6 and (a, b) = (-3, 7) into y - b = m(x - a):

y - 7 = -5/6(x - (-3))

y - 7 = -5/6(x + 3)

6(y - 7) = -5(x + 3)

6y - 42 = -5x - 15

6y = -5x - 15 + 42

6y = -5x + 27

5x + 6y = 27

The answer is: D. 5x + 6y = 27.

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4x + 7y - 3x - y show work please

**Answer:**

**Step-by-step explanation:**

4x + 7y - 3x - y

Move like terms next to each other.

**4x - 3x** + 7y - y

Subtract them

4x-3x= 1x or x

7y-y = 6y

So we have:

x + 6y

Can someone help me please???

**Answer:**

Ummmm. I am going to say it is the 1st one??

**Step-by-step explanation:**

**Answer:**

The last one!

**Step-by-step explanation:**

g Refer to the Environmental Geology (Vol.58, 2009) simulation study of how far a block from a collapsing rockwall will bounce down a soil solpe. Rebound lengths (in meters) were estimated for 13 rock bounces. The data are presented below. Consider a test of hypothesis for the variation in rebound lengths for the theoretical population of rock bounces form the collapsing rockwall. In particular, a geologist wants to determine if the variance differs from 10 m 2. 10.94 13.71 11.38 7.26 17.83 11.92 11.87 5.44 13.35 4.90 5.85 5.10 6.77 a. Specify the null and alternative hypotheses. Be sure to define the parameter used in your hypotheses. b. Compute the value of the test statistic. c. Determine the rejection region for the test using alpha

Answer:

H0 : σ² = 10

H1 : σ² ≠ 10

X² = 20.124

Pvalue = 0.064776

there is significant evidence to conclude that the rebound lengtb of rockfall down a slope is not 10m²

Step-by-step explanation:

Given the data:

10.94 13.71 11.38 7.26 17.83 11.92 11.87 5.44 13.35 4.90 5.85 5.10 6.77

Using a calculator ;

The sample variance, s² = 16.77

α = 0.10

The null and alternative hypothesis :

H0 : σ² = 10

H1 : σ² ≠ 10

The test statistic :

X² = [(n - 1)*s² ÷ σ²]

s² = 16.77

n = sample size = 13 ; s²

X² = [(13 -1)*16.77 ÷ 10

X² = (12 * 16.77) / 10

X² = 201.24 / 10

X² = 20.124

The Pvalue using a Pvalue calculator ; degree of freedom (df) = 13 - 1 = 12

Pvalue = 0.064776

Pvalue < α ; Hence we reject the null

Hence, there is significant evidence to conclude that the rebound lengtb of rockfall down a slope is not 10m²

Parker paid $4.50 for three pounds of gummy candy. Assuming each pound of gummy candy costs the same amount, how much is 5 pounds of gummy candy?

**Answer:**

$7.5

**Step-by-step explanation:**

Cost of 5 pounds of gummy

=$(4.5/3)(5)

=$7.5

your answer is 7.5 gummy bears

Michael completed a race that is 7 kilometers long. Which distance is closest to the number of miles Michael ran? ( 1.609 kilometers = 1 mile)

**Answer:**

4.35 miles if rounded 4.5 miles

**Step-by-step explanation:**

7 divided by 1.609 sums up to 4.35052

A [?] degrees

B 43°

C 15°

What is the measure of A?

122 degrees. You add both angles and subtract from 180 because all triangles equal 180 degrees

Complete the table. Thanks in advance

**Answer:**

20%

**Step-by-step explanation:**

**Answer:**

80%

**Step-by-step explanation:**

65.60/82.00

Jodi infested 4400 less in account paying 4% simple interest then she did in the account paying 2% simple interest. at the end of the first year, the total interest from both accounts was $592 find the amount invested in each account

9514 1404 393

**Answer:**

**Step-by-step explanation:**

Let x represent the amount Jodi invested at 4%. Then x+4400 is the amount she invested at 2%. Her total interest is ...

0.04x + 0.02(x +4400) = 592

0.06x +88 = 592

0.06x = 504

x = 8400

x +4400 = 12,800

**Jodi invested $8,400 at 4% and $12,800 at 2%**.

Please help i would really appricate it.

A) (5,-4)

(2,0)

(7,1)

N) (5,-4)

(2,0)

(7,1)

T) (5,-4)

(2,0)

(7,1)

A(2,0) N(7,1) T(5, -4)

**<3**

four hundred and seventy five learners need to be transported by buses to the athletics track . How many buses are required if 65 learners can fit into each bus ?

**Answer:**

you are going to need 7

what number is greater than 6 but less than 7? 20 40 60 or 80

**6.5 or 65 :ppppppp I get those goosebumps every time **

−2x + 6y = 3 HOW MANY SOLUTIONS?

x − 3y = −3

The system has ....

solution(s).

**Answer:**

there are about 2-3 possible solution

**Step-by-step explanation:**

keep practicing , all will be well

Find the missing side of this right

triangle.

x

7

14

x= [?]

Enter the number that belongs in the green box.

**Answer:**

By Pythagoras theorem

x² = 7² + 14²

x² = 49 + 196

x² = 245

X = square root of 245

245 is number that belongs to the green box

The **missing side** of the right triangle is √245. The **number** that belongs in the green box is **245**

From the question, we are to determine the **missing side** of the given triangle

The missing side of the triangle can be determined by using **Pythagoras' theorem**

The theorem states that, in a right angle triangle

**c² = a² + b²**

Where** c **is the **length **of the **longest side** (**hypotenuse**)

and** a **&** b** are the other** two sides **

From the given **information**,

Hyp = x;

Let a = **7 **and b =** 14**

∴ x² = 7² + 14²

x² = 49 + 196

x² = 245

x = √**245**

Heence, the **missing side** of the right triangle is √245. The **number** that belongs in the green box is **245**.

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PLEASE HELP ME AS SOON AS POSSIBLE!!!!!! FIVE AND SIX PLEASE

**Answer:**

5 infinitely

6 i think its 2

**Step-by-step explanation:**

The graph of g is a translation 3 units up, followed by a reflection in the x-axis of the graph of

f(x) = 2 sin x. Which rule represents g?

**Answer: NO GRAPH DUMMY**

**Step-by-step explanation:**

How many times can 60 go in 119

**Answer:**

answer is 1

**Step-by-step explanation:**

bcs 119 ÷ 60 is 1 remainder is 59 1.59 :)))

What equation is represented by this graph?

**Answer:**

y= 1.2x+1

**Step-by-step explanation:**

(0,1) and (-5,-5) are coordinates that you already know and are fs about. So you just see rise over run. 6/5 = 1.2 which is your slope. the y-int is 1 bc thats where it intersects. so your equation is y=1.2x+1

double check:

y = 1.2(-5) + 1

y = -6 + 1

y = -5

coordinates : (-5,-5)

Which of the following is a true statement?

o & >

o = }

Os <

**Answer:**

the last one Denise, is the only one that is true

**Step-by-step explanation:**

**Answer:**

last one

**Step-by-step explanation:**

didn't find this anywhere. it might help others too. please help

The answer is B! hope that helped

NEED ANSWER ASAP,BRAINLIEST FOR CORRECT ANSWER. IM FAILING SCHOOL

**Answer:**

angle b= 86 degrees

**Step-by-step explanation:**

hope this helps, have a nice day :)

Shamim made the model to

show multiplying a fraction by a

fraction. Which multiplication

sentence does the model show?

**Answer:**

C

**Step-by-step explanation:**

Lets look at the rows, there are 3 rows going down and there are 8 rows going across. There are 2 rows out of the 3 fully colored in so we know our first fraction would be 2/3, that way we cross out A hence it doesn't have 2/3 written in the problem. Next we check how many are shaded in in the 2 rows which is 5 and there are 8 rows going across so our answer is 2/3 x 5/8 = 5/12

The multiplication **sentence** which does the model show is 3/8 * 5/8=15/64, the correct option is A.

A **fraction** represents a part of a number or any number of equal parts.

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to **improper **fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the **denominator** same.

We are given that;

The block diagram

Now,

10 fully shaded boxes

8 partially shaded boxes= 5/3

3 empty boxes =3/8

**Multiplying** both the fractions

= 3/8 * 5/3

= 15/64

Therefore, by the **fraction** the answer will be 15/64.

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I have $20 in my investment account if i save $5 each week how much money will I have in the account after 9 weeks? solve using an algebraic equation

**Answer:**

*$**1**3**5**.*

**Step-by-step explanation:**

*please click the heart and rate excellent and brainleist to**☻**❤**☺️**☺️**❤**☻*

Wendy wants to run 3 miles. Each lap around the track at her school is 1··8 mile. Wendy wants to figure out how many laps she needs to run.

**Answer:**

1.6 laps

**Step-by-step explanation:**

Simply divide 3 over 1.8 to get the number of laps.

Please help me!

1. Find the coordinates of the vertices of the feasible region. Next, Find the value for R for each vertex

2. Consider the feasible region in the xy-plane defined by the following linear equalities:

X>=0

Y>=0

X<=12

X + Y >= 4

-X + 2Y <= 14

A. Find the value of Q=70x+82y for each vertex

B. What are the minimum and maximum values of the function Q on the feasible region?

我不知道語 我不知道答案 eso debe ser la respuesta

proportions in similar triangles

**Answer:**

X=2

**Step-by-step explanation:**

4/6=x/x+1

cross multiply

6x=4(x+1)

6x=4x+4

2x=4

x=2

16. Simplify the expression.

(6 + 47) + (4 + 61)

-10 - 10

10 + 10i

201

10 - 10

The answer should be 10 + 10i. Hope that helps.

Find the surface area of the prism.2001

1

1

.5 in.

3 in.

8 in.

Enter only the numerical value with the units of measure.

I believe the answer is 158 inches squared

-10a×4b+20a^2b+4ab-6ab

**Step-by-step explanation:**

-10a×4b+20a^2b-2ab

-40ab+20a^2b-2ab

-42ab+20a^2b Answer

I'm not sure...

please help

Find the missing side of this right

triangle.

21

х

15

X =

= V[?]

Answer:

216

Step-by-step explanation:

^

Lee records the height of players on a basketball team, and calculates the mean absolute deviation of the set of data.

What does the mean absolute deviation of the set of data describe?

the average height of a player on the team

B the height of the tallest player on the team

the difference in height between the shortest and tallest player

D the average difference in height between each player and the mean height

**Answer:**

I'm pretty sure it's D

**Step-by-step explanation:**

Answer:D is the answer

Help! Will Give Brainliest!!!!
which of these cells is the odd one out?: human skill cell, fungi cell, a or bacteria cell?
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