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2 years ago

Part A: Solve −np − 70 < 40 for n.

1 answer:

5 0

Solve for n the first can be like:-NP<40+70. -NP<110 the second one can be like : 4w-7k =28. solve for k and then, -7k=28-4w divide both sides by -7 that equal to k =-4-4w

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Plot the points in the coordinate plane. Then find the perimeter and area of the polygon.

anyanavicka [17]

Answer:

The answer to your question is below

Step-by-step explanation:

See the graph below

Process

1.- Find the distance from A to B, B to C, C to D, A to D

Formula

d = $\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}$

d AB = $\sqrt{(1 + 3)^{2} + (6 - 5)^{2}} = \sqrt{17}$

dBC = $\sqrt{(-2 -6)^{2} + (3 - 1)^{2}} = \sqrt{68}$

dCD = $\sqrt{(-1 - 3)^{2} + (-3 +2)^{2}} = \sqrt{17}$

dAD = $\sqrt{(-1 + 3)^{2} + (-3 - 5)^{2}} = \sqrt{68}$

2.- Find the perimeter

Perimeter = 2 $\sqrt{17} + 2\sqrt{68}$ = $6\sqrt{17}$ u

3.- Find the area

Area = $\sqrt{17} x \sqrt{68}$

Area = $\sqrt{17x68} = \sqrt{1156} = 34 u^{2}$

7 0

3 years ago

Which of the following pairs of lines are perpendicular? Select all that apply

ad-work [718]

Perpendicular lines will have negative reciprocal slopes

B. y = -4x+ 5 and y = 1/4x + 4
D. y = x + 4 and y = -x + 4
E. y = -3 and x = -3

4 0

2 years ago

Write an inequality to represent the following scenario: Hagrid’s goal at the National Hotdog Eating Contest is to consume 32 ho

kotykmax [81]

To find the value of a variance add and subtract the variance from the original number.

The original number is 32 hot dogs.

The variance is 5 hot dogs.

32-5 = 27

32 + 5 = 37

This means he needs to eat between 27 and 37 hot dogs.

he inequality with variance is written as: 27 < h < 37

6 0

2 years ago

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Jayne is driving 440 miles and wants to make the trip in 8 hours. write an equation and solve to determine the average speed jay

Nuetrik [128]

Distance÷time
440÷8= 55
Therefore he needs to drive at the speed of 55 miles/hour

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2 years ago

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Inessa [10]

Answer:

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Step-by-step explanation:

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2 years ago