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3 years ago

1. A car travels 100 miles is 3 hours (with a constant speed). How far will it

Mathematics

1 answer:

Sedbober [7]3 years ago

6 0

Step-by-step explanation:

2. answer is RS 150

follow unitary method

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Alex wants to fence in an area for a dog park. He has plotted three sides of the fenced area at the points E (1, 5), F (3, 5), a

hram777 [196]

Answer:

$(1,1)$

Step-by-step explanation:

Given: E, F, G, H denote the three coordinates of the area fenced

To find: coordinates of point H

Solution:

According to distance formula,

length of side joining points $(x_1,y_1)\,,\,(x_2,y_2)$ is equal to $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

So,

$EF=\sqrt{(3-1)^2+(5-5)^2}=2\,\,units\\FG=\sqrt{(6-3)^2+(1-5)^2}=\sqrt{9+16}=5\,\,units\\GH=\sqrt{(x-6)^2+(y-1)^2}\\EH=\sqrt{(x-1)^2+(y-5)^2}$

Perimeter of a figure is the length of its outline.

$EF+FG+GH+EH=16\\2+5+\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16-2-5\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

Put $(x,y)=(1,1)$

$\sqrt{(1-6)^2+(1-1)^2}+\sqrt{(1-1)^2+(1-5)^2}=9\\\sqrt{25}+\sqrt{16}=9\\5+4=9\\9=9$

This is true.

So, the point $(1,1)$ satisfies the equation $\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

So, point H is $(1,1)$ .

7 0

3 years ago

Y=8x-4 find y and x intercept

dlinn [17]

Answer:

<h3>The x intercept is 1/2</h3><h3>The y intercept is - 4</h3>

Step-by-step explanation:

y = 8x - 4

First to find the y intercept let x = 0

Substitute the value of x into the equation

That's

y = 8(0) - 4

y = - 4

<h3>The y intercept is - 4</h3>

To find the x intercept let y = 0

Substitute the value of y into the equation

that's

8x - 4 = 0

8x = 4

Divide both sides by 8

x = 1/2

<h3>The x intercept is 1/2</h3>

Hope this helps you

5 0

3 years ago

Question 10

Anna [14]

Answer:

Step-by-step explanation:

5 0

3 years ago

Please help me solve this

Rashid [163]

Answer:

??????????????

Step-by-step explanation:

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8 0

3 years ago

Find two consecutive whole numbers that square root 45 lies between

Wittaler [7]

Sqrt(45) is between sqrt(36)=6 and sqrt(49)=7.

Answer: between 6 and 7

6 0

3 years ago