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Elina [12.6K]
2 years ago
5

Alejandro made an error in the steps below when determining the equation of the line that is perpendicular to line 4x - 3y = 8 a

nd passed through the point (3,-2)
Mathematics
1 answer:
Ronch [10]2 years ago
5 0

 

Hello:<span>
the equation is : y = ax+b
the slope is a : a×(4/3) = -1......( perpendicular to a line with a slope of   4/3)            because :     4x-3y =8...y=(4/3)x-8/3    )     </span>

<span>
a = -3/4         y=(-3/4)x+b
the line that passes through (3, -2) :- 2 = (-3/4)(3)+b
b =1/4
<span> the equation is :  y  = (-3/4)x+1/4</span></span>

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The diagonals of a parallelogram ABCD intersect at O.find ar(AOB),if ar(ABCD)is 44cm^2
prisoha [69]

Answer:

11\text{ cm}^2

Step-by-step explanation:

Given: In a parallelogram ABCD, diagonals intersect at O and ar(ABCD) is 44 \text{cm}^2.

We need to find the area of triangle AOB.

We know that each diagonal divide the parallelogram in two equal parts and diagonals bisect each other.

It means both diagonals divide the parallelogram in 4 equal parts.

ar(AOB)=\dfrac{1}{4}\times ar(ABCD)

ar(AOB)=\dfrac{1}{4}\times 44

ar(AOB)=11

Hence, the values of ar(AOB) is 11\text{ cm}^2.

5 0
3 years ago
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7 0
2 years ago
Which runs faster: a cheetah that can run 60 feet in 6 seconds or a gazelle that can run 100 feet in 10 seconds?
bulgar [2K]

Answer:

They run at the same speed

Step-by-step explanation:

First, you have to find a way seeing how fast both animals run in the same amount of time. You can find out how fast they both run in one second.

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Finally, you compare the two answers from the two animals. For the cheetah, we learned that it can run 10 feet in one second, and for the gazelle, we learned that it can run 10 feet in one second. So, we know that they run at the same speed.

Thank you! Please let me know if this was helpful!

5 0
3 years ago
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Montano1993 [528]

Answer:

Step-by-step explanation:

3.5y - 12 = 1.5y - 3

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the answer is a. one solution

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3 years ago
Stacy uses 6 cups of sugar to make 120 brownies how many cups of sugar will she use to make 360 brownies?
oksian1 [2.3K]

Answer:

18 cups of sugar

Step-by-step explanation:

Step 1:

120 ÷  6 = 20

Step 2:

360 ÷ 20

Answer:

18

Hope This Helps :)

8 0
3 years ago
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