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4 years ago

What is the length of the line segment with endpoints (−3,8) and (7, 8) ? Enter your answer in the box

2 answers:

6 0

Length = √(y2-y1)² + (x2-x1)²
l = √(8-8)² + (7+3)²
l = √10²
l = 10

In short, Your Answer would be 10 units

Hope this helps!

madreJ [45]4 years ago

3 0

Answer:

10 units

Step-by-step explanation:

$(x_1,y_1)=(-3,8)$

$(x_2,y_2)= (7, 8)$

We are supposed to find the length of the line segment with endpoints (−3,8) and (7, 8)

We will use distance formula : $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the values :

$d=\sqrt{(7+3)^2+(8-8)^2}$

$d=\sqrt{100}$

$d=10$

Hence the length of the line segment with endpoints (−3,8) and (7, 8) is 10 units

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Select TWO possible values for x in the equation x2=45.

kirill [66]

Answer:

$3 \sqrt 5}$ and $-3 \sqrt 5}$

Step-by-step explanation:

Given

$x^2 = 45$

Required

Determine the values of x

$x^2 = 45$

Take square root of both sides

$\sqrt{x^2} = \±\sqrt{45}$

$x = \±\sqrt{45}$

Expand 45 as 9 * 5

$x = \±\sqrt{9 * 5}$

Split the square root

$x = \±(\sqrt{9} *\sqrt 5}$

$x = \±3 *\sqrt 5}$

$x = \±3 \sqrt 5}$

This can be further split to:

$x = 3 \sqrt 5}$ or $x = -3 \sqrt 5}$

Hence, the possible values of x are

$3 \sqrt 5}$ and $-3 \sqrt 5}$

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3 years ago

Weekly math review Q1:5

alekssr [168]

What is the question

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3 years ago

Joel needs 785 tickets to get the prize he wants at the arcade. He already has 284 tickets and can earn 35 tickets each time he

Cloud [144]

He needs to play 23 more times. 785 / 35 = 23

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3 years ago

If sin(x) = cos(y) for acute angles x and y, how are the angles related?

Vesnalui [34]

Answer:

b. complementary

Step-by-step explanation:

-Complementary angles are angles that add up to 90°.

-These are usually the two acute angles in the right triangle.

#To verify, lets take the two angles 30° and 60°:

$Cos \ 60\textdegree=0.5\\\\Sin \ 30\textdegree=0.5\\\\\therefore Sin \ 30\textdegree=Cos \ 60 \textdegree=0.5$

#We can reverse as:

$Sin \ 60\textdegree=0.86603\\\\Cos \ 30\textdegree=0.86603\\\\\therefore Sin \ 60\textdegree=Cos \ 30\textdegree=0.86603$

Hence, two angles are said to be complimentary if they sum up to 90°.

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3 years ago

Please i need workings for these questions. Any kind of help will be appreciated.

Anna11 [10]

Answer:

1. N4 = a

2. N8.25 = b

Step-by-step explanation:

1000 litre =N3

Each additional 100 litres = 5 k

100 litres

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100 litres =5k

2000 litres = x

100x =5×2000

100x =10,000

Divide both sides of the equation by 100

x = 100k

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1= 45k

5=x

x = 5×45

= 225 Kobo

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3 years ago