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3 years ago

The shape shown consists of three sides of a rectangle together with a semicircle. Which of the following is

Mathematics

1 answer:

Cloud [144]3 years ago

4 0

You answer would be number 4

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Line a is formed by using the points -1,6 and 3,-2 Line B is formed by using the point -3,0 and 5,4.What linear equations can be

emmasim [6.3K]

Answer:

y = -x + 5

y = x/2 + 3/2

Step-by-step explanation:

First we calculate the slope as difference between coordinates

a) P₁ ( -1 , 6 ) P₂ ( 3 , 2 )

m = Δy/Δx ⇒ m = ( y₂ - y₁ ) / ( x₂ - x₁ ) ⇒ m = (2 -6 ) / (3 -(-1))

m = -4 /4

m = -1

Now we have:

y - y₁ = m ( x - x₁ ) ⇒ y - 6 = (-1) ( x - (-1))

y - 6 = -1 * ( x + 1 ) ⇒ y - 6 = - x - 1

y = -x + 5

In the second case

Q₁ ( -3 , 0 ) Q₂ ( 5 , 4 )

Again we calculate the slope

m = Δy / Δx ⇒ m = ( 4 - 0 ) / ( 5 - (-3)) ⇒ m = 4 / 8 ⇒ m = 1/2

m = 1/2 or x = 0,5

And

y - y₁ = 1/2 ( x - x₁ ) ⇒ y - y₁ = 1/2 ( x - (-3)) ⇒ y - 0 = 1/2 * x + 3/2

y = x/2 + 3/2

6 0

3 years ago

a boat takes 2 hours to travel 15 miles upriver against the current. if the rate of the boat in still water is 12 miles per hour

liq [111]

Answer:

7 or 8 miles per hour

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

- Write an equation that represents the proportional relationship between the cost, c, and the number of pizzas, n.

rewona [7]

Answer:

cost of pizza I 5 and using proper cleaning

5 0

3 years ago

What is the value of j in the equation j + j + 14 = 3 j + 10?

Aleksandr-060686 [28]

2j+14=3j+10
14-10=3j-2j
4=j D

good luck..

4 0

3 years ago

Read 2 more answers

Rita's family is moving to Grand Junction to Dallas. The moving van averages 60 miles each hour. About how many hours does the v

Eddi Din [679]

Answer:

16 hours and 20 minutes.

Step-by-step explanation:

Please consider the complete question.

Rita's family is moving to Grand Junction to Dallas, which is 980 miles. The moving van averages 60 miles each hour. About how many hours does the van take to reach Dallas?

To find the time taken by van to reach Dallas, we will divide total distance by speed.

$\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

$\text{Time taken to reach Dallas}=\frac{980\text{ Miles}}{60\frac{\text{ Miles}}{\text{Hour}}}$

$\text{Time taken to reach Dallas}=\frac{980\text{ Miles}}{60}\times \frac{\text{ Hour}}{\text{Miles}}$

$\text{Time taken to reach Dallas}=\frac{98}{6}\text{ Hour}$

$\text{Time taken to reach Dallas}=16.3333\text{ Hour}$

Let us convert 0.3333 hours into minutes by multiplying 0.3333 by 60.

$0.3333\times 60=19.998\approx 20$

Therefore, it will take 16 hours and 20 minutes for the van to reach Dallas.

5 0

3 years ago