A line is perpendicular to y = {2/3x + 2/3}

Mathematics

1 answer:

Anna35 [415]3 years ago

3 0

Answer: y = (-3x/2) + 1

Step-by-step explanation:

From the standard equation y = mx + c, the slope of the equation is 2/3. Therefor slope of a line perpendicular to it will be -3/2.

Hence the equation will be

y = (-3x/2) + c

As this line passes through (-2,4), putting these values in this equation gives c = 1.

Hence the answer is y = (-3x/2) + 1

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Jerry scored 581 points by collecting 7 coins. In all, how many coins does Jerry have to collect to score a total of 996 points?

charle [14.2K]

Answer:

12 coins

Step-by-step explanation:

Points scored by collecting 7 coins = 581

Number of coins required to collect 996 points

Let Number of coins = c

7 coins = 581 points

c coins = 996 points

Cross multiply :

581 * c = 996 * 7

581c = 6972

Divide both sides by 581

581c / 581 = 6972 / 581

c = 12

Hence, number of coins required to collect 996 points is 12

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Read 2 more answers

What is y in terms of x

Harrizon [31]

9514 1404 393

Answer:

E. 4x -180

Step-by-step explanation:

Angles QPB and RAP are corresponding, so congruent. Angles QPR and ARP are alternate interior angles, so congruent. Triangles BQP and PQR are isosceles, so angle PBQ ≅ angle QPB and angle RQP = 180-2x.

The total of angles RQP and RQC is angle PQC, an external angle to triangle PQB. We know the exterior angle is equal to the sum of the remote interior angles. That means ...

angle PQC = angle QPB +angle QBP

y +(180 -2x) = x + x

y = 4x -180 . . . . . . . . . . . subtract (180-2x) from both sides