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3 years ago

Determine the slop of the line passing through (-3,7) and (9,-2)

Mathematics

1 answer:

enot [183]3 years ago

5 0

The slope is 3/4. you need to find the change of y over the change of x.

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How are √25 and √-25 different in the terms of a solution for both? *

Tanya [424]

Answer:

For $\sqrt{25}$ it will be plus or minus $\sqrt{5}$

For $\sqrt{-25}$ it will be plus or minus $\sqrt{5i}$

Step-by-step explanation:

Well for $\sqrt{-25}$ it will be 5i

Because i = -1

6 0

3 years ago

Use the figure below to answer the questions.

Archy [21]

Answer:

a. What is the name of the 3D shape?

The name of the 3D shape is Prism

b. What is the formula for total surface area for this shape?

Total surface area:

$S=2A_{b}+P_{b}h$

c. What is the surface area of the figure?

The surface area of the figure is 144 cm²

Step-by-step explanation:

a. What is the name of the 3D shape?

The 3D shape has two congruent and parallel faces (triangles) and the other faces are parallelograms, then the 3D shape is a prism

b. What is the formula for total surface area for this shape?

Total Surface area:

$S=2A_{b}+P_{b}h$

where:

Area of the base of the prism: Ab

Perimeter of the base: Pb

Height of the prism: h

c. What is the surface area of the figure?

The base of the prism is a triangle. Then to calculate the area of the base, we must use the formula to calculate the area of a triangle:

$A_{b}=\frac{bh}{2}\\ A_{b}=\frac{(4 cm)(3 cm)}{2}\\ A_{b}=\frac{12cm^{2} }{2}\\ A_{b}=6cm^{2}$

The perimeter of the base is the perimeter of the triangle, equal to the sum of the sides of the triangle:

$P_{b}=4cm+3cm+5cm\\ P_{b}=12cm$

h: Height of the prism is the distance between the bases of the prism (the triangle), then h=11 cm

Then, replacing in the formula the known values:

$S=2(6 cm^{2})+(12 cm)(11 cm)\\ S=12 cm^{2}+132 cm^{2}\\ S=144 cm^{2}$

8 0

3 years ago

Sam earned $450 during winter vacation. He needs to save $180 for a camping trip over spring break. He can spend the remainder o

lesantik [10]

180+x=450 idk if this is wrong

4 0

3 years ago

Read 2 more answers

A restaurant has a sign by the front door that says, "Maximum occupancy: 75 people."

nikklg [1K]

Answer:

112%

Step-by-step explanation:

The percentage of its capacity is calculated as

Number of people / Maximum Occupancy × 100%

Number of people = 84 people

Maximum Occupancy = 75 people

Hence:

84 people /75 people × 100

= 1.12 × 100

= 112%

Therefore, the percentage of its capacity that is 84 people is 112 %

7 0

3 years ago

IM ABOUT TO FAIL HELP PLZ!!!!!!!!

Julli [10]

The difference between -8 F and 14 F is 22 F.

7 0

3 years ago