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nika2105 [10]
2 years ago
6

A line passes through the point (4,-2) and has a slope of 1/2 what is the value of a if the point (-4,a) is also on the line

Mathematics
1 answer:
Slav-nsk [51]2 years ago
3 0

Answer:  The value of a is -6.

Step-by-step explanation:

To do this we need to find the y-intercept first.

-2= 4(1/2) + b

-2=2+ b

-2  -2

b= -4  so now the y-intercept is -4  so we will now have the equation y= 1/2x -4

so now put -4 into the equation for x and solve for y.

y= 1/2(-4) -4

y = -6

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This year’s school population in Waterloo is 135 percent of last year’s school population. This year’s student population is 756
sp2606 [1]

Answer:560

Step-by-step explanation:

Let a be the number of students the school have last year

135% of a=756

135/100 x a=756

135a/100=756

Cross multiplying we get

135a=756 x100

135a=75600

Divide both sides by 135

135a/135=75600/135

a=560

6 0
3 years ago
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Lana71 [14]

Answer:

The answer is 60 degrees.

Step-by-step explanation:

The three angles in any triangle add up to 180 degrees.

You know by the box at the bottom right that it's a right triangle and therefore that angle is 90 degrees. They also give you the 30 degree angle at the bottom left. So:

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180 degrees (total) - 120 degrees (first 2 angles) = 60 degrees (missing angle)

<em>Hope this helps!</em>

6 0
3 years ago
Find the probability of drawing two diamonds in a row from a standard deck of 52 cards. After the first card is drawn it is set
Rina8888 [55]

Answer: 1/17

Step-by-step explanation:

First and foremost, we should note that there are 13 diamonds in a standard deck of 52 cards.

If the first card is drawn, the probability of picking a diamond is 13/52. Since it's not replaced, when another one is picked, the probability that it will be diamond will be 12/51.

We then multiply both together. This will be:

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= 1/17

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Read 2 more answers
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