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3 years ago

15

Find the greatest common factor of 34, 42, and 40.

1 answer:

Maru [420]3 years ago

4 0

The greatest common factor is 2

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A square piece of fabric has an area of 16x^2+40x+25 square inches. The length of each side of the fabric is cx+d, where c and d

lozanna [386]

$A=(cx+d)^2=c^2x^2+2cdx+d^2\\\\c^2x^2+2xcd+d^2=16x^2+40x+25\\\Downarrow\\c^2=16;\ 2cd=40;\ d^2=25\\\Downarrow\\c=\sqrt{16};\ cd=20;\ d=\sqrt{25}\\\Downarrow\\\boxed{c=4\ and\ d=5}\\\\The\ length\ of\ side:cx+d=\boxed{4x+5}\\\\The\ perimeter\ of\ the\ piece\ of\ fabric:4(4x+5)=\boxed{16x+20}\\\\For\ x=2:\\16\cdot2+20=32+20=\boxed{52}$

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3 years ago

Write the equation of the line with the given slope and y- intercept. 1.Slope is -2 and a y-intercept of 5.

Monica [59]

Since the slope is -2, then m=-2. Since the y-intercept is 5, b=5. Then, we can create the equation: y=-2x+5

Since the slope is $\frac{3}{4}$ , then m= $\frac{3}{4}$ . Since the y-intercept is -3, b=-3.

Then, we can create the equation: y= $\frac{3}{4}$ x-3

5 0

3 years ago

The table shows the relationship between Megan’s earnings and the hours that she worked.

soldier1979 [14.2K]

Answer:

C.76

Step-by-step explanation:

2x= 19

x= 9.5

8x =?

8(9.5)= ?

76= ?

8 0

3 years ago

Multipy the expreshions (2h+2.7) (2h-27)

Musya8 [376]

Answer:

$4h^2-48.6h-72.9$

Step-by-step explanation:

$(2h+2.7) (2h-27)\\4h^2-54h+5.4h-72.9\\4h^2-48.6h-72.9$

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3 years ago

Mala is y years old. Her sister is 4 years older than mala . Write expréssion in simplest form that represents the sum of ages o

Evgen [1.6K]

Answer:

$2(y+2)$

Step-by-step explanation:

Let

y --->Mala's age

x---> sister's age

we know that

$x=y+4$ ---> equation A

so

The sum of ages of the sisters is

$x+y$

substitute equation A in the expression of the sum of ages

$(y+4)+y=2y+4$

simplify

$2(y+2)$

8 0

3 years ago