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3 years ago

13

4. Is there a variable factor common to 24a and 6?

1 answer:

Cloud [144]3 years ago

7 0

Answer:

There is no variable factor common to 24a and 6

Step-by-step explanation:

First number = 24a

Other number = 6

Pime factorisation of 24a = 2×2×3×2×a

Pime factorisation of 6= 3×2

Common factors = 6

Hence, there is no variable factor common to 24a and 6, Other common factor is 6.

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A picture inside a frame is 2 inches longer than it is wide. The picture is in a frame that has a width of 3 inches on each side

geniusboy [140]

Answer:

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Step-by-step explanation:

Let

x ----> the length of the picture

y ----> the width of the picture

we know that

$x=2+y$ -----> equation A

The area of the picture, including the frame is

$A=(x+6)(y+6)$

$A=195\ in^2$

so

$195=(x+6)(y+6)$ ----> equation B

substitute equation A in equation B

$195=(2+y+6)(y+6)$

solve for y

$195=(y+8)(y+6)\\y^2+6y+8y+48=195\\\\y^2+14y-147=0$

solve the quadratic equation by graphing

The solution is y=7 in

see the attached figure

<em>Find the value of x</em>

$x=2+7=9\ in$

Find the dimensions of the frame

$x+6=9+6=15\ in$

$y+6=7+6=13\ in$

therefore

The dimensions of the frame are 15 in x 13 in

7 0

3 years ago

The measure of angel B is (3x - 4)º and the measure of angel D is (2x - 6)°. What are the measures of angles B and D?

MA_775_DIABLO [31]

Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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let y =2t+5 be a linear function representing the distance from home for an ant t minutes after starting out from a location nea

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Step-by-step explanation:

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3 years ago

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sergij07 [2.7K]

Answer:

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Step-by-step explanation:

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3 years ago