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3 years ago

Someone please help!!

Mathematics

1 answer:

rewona [7]3 years ago

4 0

Answer:

Option 2: (1,0) is the correct answer

Step-by-step explanation:

Given inequality is:

y>-5x+3

In order to find which point is solution to the given inequality we'll put the point one by one in the inequality. If the point satisfies the inequality, then the point is the solution of the inequality.

Putting (0,3) in inequality

$3 > -5(0)+3\\3>0+3\\3>3$

Putting (1,0) in inequality

$0>-5(1)+3\\0>-5+3\\0>-2$

Putting (-3,1) in inequality

$1 > -5(-3)+1\\1> 15+1\\1>16$

Putting (-1,-2) in inequality

$-2>-5(-1)+3\\-2>5+3\\-2>8$

The inequality is true for (1,0)

Hence,

Option 2: (1,0) is the correct answer

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A cyclist rides his bike at a speed of 21

Harlamova29_29 [7]

Answer:

1. 0.35 miles per minute

2. 5.25 miles

Step-by-step explanation:

1. speed is 21 miles per hour

speed per minute = 21/60 = 0.35 miles per minute

2. distance covered in 15 minutes = 15*0.35

= 5.25miles

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3 years ago

What is the value of y?

NeX [460]

The value of y in the triangle is 2√5

The triangle above is a right angle triangle.

Characteristics of a right angle triangle:

One of its angle is equals to 90 degrees
The sides can be found using Pythagoras theorem.

Using Pythagoras theorem

c² = a² + b²

where

c = hypotenuse(longest side)

a and b are the 2 other legs.

Therefore,

6² = 4² + y²

36 = 16 + y²

y² = 36 - 16

y² = 20

y = √20

y = 2√5

learn more on right angle triangle here:brainly.com/question/3770177?referrer=searchResults

7 0

2 years ago

Read 2 more answers

A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 fe

Vanyuwa [196]

The distance from the top of the mirror to the ceiling once the mirror is hung on the wall is 21 inches

The dimension of the mirror is given as:

$Height = 24\ in$

$Width = 28\ in$

From the center of the mirror to the floor of the wall, the distance is:

$Distance =5\frac14\ ft$

So, the distance to the top of the mirror will be:

$Top = 5\frac 14\ ft + \frac 12 \times Height$

Substitute 24 for height

$Top = 5\frac 14\ ft+ \frac 12 \times 24\ in$

$Top = 5\frac 14\ ft+ 12 \ in$

Convert feet to inches

$Top = 5\frac 14\times 12\ in+ 12 \ in$

$Top = 63\ in+ 12 \ in$

$Top = 75 \ in$

The distance from the top of the mirror to the ceiling is the difference between the height of the wall and 75 inches.

So, we have:

$Distance = 8\ ft - 75\ in$

Convert feet to inches

$Distance = 8\times 12\ in - 75\ in$

$Distance = 96\ in - 75\ in$

$Distance = 21\ in$

Hence, the distance is 21 inches