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3 years ago

1. What is the area of the shape? 6cm 4cm 2cm 3cm

1 answer:

3 0

Hello,
I’m not sure how to answer your question because looks like you forgot to put an image of the shape your talking about.

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Point B has coordinates (4,1). The x-coordinate of point A is -4. The distance between point A and point B is 10 units. What a

klasskru [66]

Given:

Point B has coordinates (4,1).

The x-coordinate of point A is -4.

The distance between point A and point B is 10 units.

To find:

The possible coordinates of point A.

Solution:

Let the y-coordinate of point A be y. Then the two points are A(-4,y) and B(4,1).

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The distance between point A and point B is 10 units.

$\sqrt{(4-(-4))^2+(1-y)^2}=10$

Taking square on both sides, we get

$(8)^2+(1-y)^2=100$

$(1-y)^2=100-64$

$(1-y)^2=36$

Taking square root on both sides, we get

$(1-y)=\pm \sqrt{36}$

$-y=\pm 6-1$

$y=1\mp 6$

$y=1-6$ and $y=1+6$

$y=-5$ and $y=7$

Therefore, the possible coordinates of point A are either (-4,-5) or (-4,7).

7 0

3 years ago

An airplane travels 2416 kilometers against the wind in 4 hours and 2896 kilometers with the wind in the same amount of time. Wh

oee [108]

Answer: the rate of the plane in still air is 664 km/h and the rate of the wind is 60 km/h

Step-by-step explanation:

Let x represent the rate of the plane in calm air.

Let y represent the rate of the wind.

An airplane travels 2416 kilometers against the wind in 4 hours. This means that the total speed with which the plane flew is (x - y) mph.

Distance = speed × time

Distance travelled by the plane while flying against the wind is

2416 = 4(x - y)

Dividing both sides of the equation by 4, it becomes

604 = x + y- - - - - - - - - - - 1

It flew 2896 kilometers with the wind in the same amount of time.. This means that the total speed with which the plane flew with the wind is (x + y) mph.

Distance travelled by the plane while flying with the wind is

2896 = 4(x + y)

Dividing both sides of the equation by 2, it becomes

724 = x + y- - - - - - - - - - - 2

Adding equation 1 to equation 2, it becomes

1328 = 2x

x = 1328/2

x = 664

Substituting x = 664 into equation 2, it becomes

724 = 664 + y

y = 724 - 664

y = 60

5 0

3 years ago

Jonna needs to travel 496 miles in 8 hours. How fast does she need to go in order to reach her destination on time?

Mkey [24]

Answer:62

Step-by-step explanation:

3 0

3 years ago

If 25 gallons of gasoline has been used after driving 700 miles,how many gallons of gasoline would be used after driving 1,000 m

joja [24]

35 ( I’ve done this question before, this is the right answer ! )

4 0

3 years ago

The price of a cd is $16 if the sales tax is 4% what will be the total price of the cd

djverab [1.8K]

Well u would turn 4 into a decimal. this is 0.04. then multiply it by 16. that answer will be added to the original price 16. this would be the answer.

6 0

3 years ago