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2 years ago

Illustrate the distributive property to solve 144/8

Mathematics

1 answer:

AURORKA [14]2 years ago

4 0

Answer:

8 (19) or 8 (18 +1)

Step-by-step explanation:

Distributive property means to distribute.

HCF of 144 and 8.

=> 8 is the HCF of 144 and 8

8 (18 + 1)

=> 8 (19)

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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

Line a is perpendicular to line b. if the slope of line a is 1/8, what is the slope of line b

jenyasd209 [6]

Answer:

-8/1

Step-by-step explanation:

Perpendicular lines have opposite slopes., meaning the signs are opposite, and the numerator and denominator are flipped.

Here's another example:

If line a had a slope of 4/5, line b would have a slope of -5/4, if the lines are perpendicular.

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2 years ago

Solve the equation for y. Identify the slope and y-intercept then graph the equation.

drek231 [11]

Answer:

y = 1 m = -3 b = 1

Step-by-step explanation:

y = mx + b y = -3x + 1

y = 1

m = -3

b = 1

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2 years ago

25 points please help me!

lianna [129]

$1.14 1.40 x 0.8=1.12 1.4+ 1.12=1.52 * 0.25 = 1.14

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3 years ago

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Step-by-step explanation:

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3 years ago