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Alex
3 years ago
6

Given points S(-4,-2) and T(-1,0) What is the length of ST? Round to the nearest tenth.

Mathematics
1 answer:
zheka24 [161]3 years ago
6 0

Answer:

the length of ST = 3.6 to the nearest tenth

Step-by-step explanation:

Points on the Cartesian are written as (x, y)

Given points S(-4, -2) and T(-1, 0)

The distance between these two points is given by the formula

ST = √[(x₂-x₁)² + (y₂-y₁)²]

x₂ = -4

x₁ = -1

y₂ = -2

y₁ = 0

ST = √{[-4 - (-1)]² + [-2 - 0]²}

ST = √[(-4 + 1)² + (-2)²]

ST = √(-3²+4)

ST = √(9 + 4)

ST = √13

ST = 3.6 to the nearest tenth

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A function has the function rule y = -7 x - 2. If the input is -4, what is the output? 26 -30 -26 14
GaryK [48]

Answer:

26

Step-by-step explanation:

Since the input is -4, x = -4. The equation then is y = -7(-4) -2

A negative times a negative is a positive, so -7 times -4 is 28.

Now the equation reads y = 28 - 2

Then obviously you just subtract the two and then you get 26.

5 0
3 years ago
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1/4 of Mai’s height is equal to 2/5 of Jon’s height. Find the ratio of Mai’s height to Jon’s height.
nasty-shy [4]

1/4th of Mai’s height is equal to 2/5th of Jon’s height

Let 'x' represent Mai's height and 'y' represent Jon's height.

Therefore, 1/4th of "x" should be equal to 2/5th of "y". This gives us the following equation :

(1/4)x = (2/5)y

multiply both sides by 4/y

x/y = 4*(2/5)

x/y = 8/5

x:y = 8:5

The ratio of Mai's s height to Jon's height is 8 to 5

3 0
3 years ago
What is the solution to the equation? 6x – 27 = –3 A. x = –5 B. x = –4 C. x = 4 D. x = 5
Fittoniya [83]
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7 0
4 years ago
A square park has an area of 1⁄16 square miles and a length of 1⁄4 mile. What is the width of the park?
Vikentia [17]
Width: 1/4 Explanation: First you set up the problem as 1/16 divided by 1/4, then you change the division sign to multiplication and then you flip the second fraction which is 1/4, you should have 4/1, next you have a problem like 1/16 x 4/1 1x4= 4 and 16x1=16, did you get 1/4 as your product? If you didn’t, repeat the steps and try as many times until you get it, it is the only way to learn. Thank you for asking this question and have a great Evening! :)
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3 years ago
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miss Akunina [59]

Answer:

Angle E = 73 degrees

Step-by-step explanation:

Supplementary means it equals 180 degrees.

So to find x, you add the 2 equations.

2x + 15 + 5x - 38 = 180

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7x = 203  You move the -23 to the other side

203/7 = 29  So x = 29 degrees

So to find angle E, you put in 29 degrees for x.

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7 0
3 years ago
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