PLEASE HELP ASAP
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) ?

Answers

Answer 1

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.

How to Write the Equation of Perpendicular Lines?

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

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我不知道語我不知道答案 eso debe ser la respuesta

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Step-by-step explanation:

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

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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

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So we have:

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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

Answers

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

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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double check:

y = 1.2(-5) + 1

y = -6 + 1

y = -5

coordinates : (-5,-5)

Please help i would really appricate it.

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

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The answer is B! hope that helped

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Answer:

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Step-by-step explanation:

Answer:

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Answer:

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Step-by-step explanation:

Cost of 5 pounds of gummy

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your answer is 7.5 gummy bears

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

By Pythagoras theorem

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x² = 245

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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

Calculating the side length of a triangle

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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Step-by-step explanation:

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Answer:

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.

What is a fraction?

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.

Learn more about fraction;

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PLEASE HELP ASAP 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) ?

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PLEASE HELP ASAP
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) ?