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Novosadov [1.4K]
3 years ago
11

PLSS HELP

Mathematics
1 answer:
gavmur [86]3 years ago
6 0

Answer:

The second base of the trapezoid b2 is 2.5 inches

Step-by-step explanation:

Here, we want to calculate the second base of the trapezoid.

Mathematically, the area of a trapezoid can be given as;

A = 1/2(a + b) h

where a and b represents the parallel bases and h is the height of the trapezoid

so this, we have from the question

1/2(4.5 + b2) * 6 = 21

3(4.5 + b2) = 21

divide both sides by 3

4.5 + b2 = 7

b2 = 7-4.5

b2 = 2.5 inches

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Answer:

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Step-by-step explanation:

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8 0
3 years ago
What is the equation in point-slope form of a line that passes through the points (−4, −1) and (5, 7) ? y+1=89(x+4) y+4=98(x+1)
maria [59]

The point-slope formula:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

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Substitute:

m=\dfrac{7-(-1)}{5-(-4)}=\dfrac{7+1}{5+4}=\dfrac{8}{9}\\\\y-(-1)=\dfrac{8}{9}(x-(-4))\\\\\boxed{y+1=\dfrac{8}{9}(x+4)}

4 0
3 years ago
Is 102 divisible by 4 5 6 9 or 10 PLEASE HELP I AM FAILING AND ABOUT TO CRY!!!!
My name is Ann [436]
It can't be divided by 5 or 10 since when you count by 10's the numbers end in only zeros and when you count by 5 it is either 5 or 0  (5, 10, 15, 20 and so on).

9 will only work if the digits in the answer add up to 9.  18: 1+8=9
99: 9+9=18 and 1+8=9  So it can't be divided by 9  102: 1+0+2=3 (not 9)

That leaves 6 and six works - here's why.
There is a rule for 3's that says that the sum of the digit must add up to 3, 6 or 9.
Look:
3x1 = 3
3 x 2 = 6
3 x 3 = 9
3 x 4 = 12 and 1+2=3
3 x 5 = 15 and 1+ 5 = 6
3 x 6 = 18 and 1+ 8 = 9  
3 x 7 = 21  and 2 +1 = 3  and so on -  do you see the 3,6,9 pattern repeating.

Six follows the same rule except the number must be even.  Look above to see that 6 works with 6, 12 and 18 but not the others.  
So 102 is divisible by 3  (1+0+2 = 3)  AND it is an even number - therefore it is divisible by 6.  Here's proof: 6 x 15 = 90 and 102 is 12 more than 90 and six goes into that 12)

I hope that this will help you feel better. I don't want you to cry. :-)

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Step-by-step explanation:

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