Given the point (3,4) and the slope of 6, find Y when X =27

Answers

Answer 1

Answer: 1) we find out the equation of the line.
Given a point (x₀,y₀) and the slope m, the slope-point form is:

y-y₀=m(x-x₀)

Data:
(3,4)
m=6

Therefore:

y-4=6(x-3)
y-4=6x-18
y=6x-18+4
y=6x-14

2) we find out y, when x=27
y=6*(27)-14
y=162-14
y=148

Answer: When x=27, then y=148.

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The figures in each pair are similar. Find the missing length.

Answers

Answer:y=3 1/8

Step-by-step explanation:

The price of a plane ticket has increased from $150 to $200. By what percent has the price increased?A) 15%
B) 25%
C) 33%
D) 50%

Answers

It is 33% because that is a third. A third of 150 is 50 and it has increased by 50 to get to 200.

The value of 850,000 shares of CoMark stock is $1,750,000. The underwriting commission is 10%. The total of other selling expenses is $521,464. What are the net proceeds from the sale of the stock?

Answers

Given:
value of 850,000 shares is 1,750,000
underwriting commission is 10%
selling expenses 521,464.00

1,750,000 * 10% = 175,000 commission
175,000 + 521,464 = 696,464

1,750,000 - 696,464 = 1,053,536 net proceeds from the sale of stocks.

Simplify the rational expression. State any excluded values.

Answers

So on the top, you split it up using the difference of squares rule.
You get (x - 6)(x + 6) on the top.

On the bottom, you can undistribute (pull out) -7x.
This gives you -7x(x-6) on the bottom.

Now you can cancel like terms in the numerator and denominator.
You can cancel the (x-6).
You can also move the negative sign from the 7x to the (x + 6)

This leaves you with -(x + 6) over 7x, or (6 - x) over 7x.

To find excluded values, all you need to know is that you can't divide by zero under any circumstances, and you can't have a zero on the top in a rational expression.
The only values for x that would make either of these statements true are if x = 0 (7 × 0 = 0 on the bottom), or if x = 6 (6 - 6 +0 on the top)

So the answer is (6 - x) over 7x, x ≠ 0, 6

Jonas is planning out his route for an upcoming race. He uses negative numbers to represent points beforethe finish line and positive numbers to represent points after the finish line.On Jonas's map, there is a bridge at -91= meters, and his wife is watching him at 14 meters.What does 0 meters represent?Choose 1 answer:Jonas's wifeB. The bridgeThe finish line

Answers

Answer:

(C)The finish line

Step-by-step explanation:

Points before the finish line are represented using negative numbers.

Points after the finish line are represented using positive numbers.

The bridge is at -91 meters ( before the finish line)
His wife is watching him at 14 meters. (after the finish line)

0 meters therefore represents the finish line from which Jonas takes his reading to be positive or negative.

The correct option is C.

Final answer:

The 0 meters in Jonas's map represents the finish line in the race, where negative numbers represent points before the finish line and positive numbers represent points after the finish line.

Explanation:

In Jonas's case, he has defined the finish line as 0 meters. This is based on his system of defining the race route, where negative numbers represent points before the finish line and positive numbers represent points after the finish line. So, his wife watching him at 14 meters would be positioned 14 meters past the finish line, and the bridge at -91 meters would be 91 meters before the finish line. This is a useful way of tracking his position during the race and helps to structure his training and race strategy.

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A 135 degree angle is classified as what

Answers

An Acute angle is an angle is under 90 degrees, a right angle is 90 degrees, and obtuse angle is greater than 90 degrees but less than 180 degrees.... which out of these angles you would choose an Obtuse angle.

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A painter leans a 20-ft ladder against a building. The base of the ladder is 12 ft from the building. To the nearest foot, how high on the building does the ladder reach?