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valina [46]
3 years ago
8

line K passes through the point (8,-3) and is parallel to the line y=3x -4. write an equation for line k.

Mathematics
1 answer:
bearhunter [10]3 years ago
6 0
Parallel lines have the same slope but different y-intercepts. Start with y=mx+b substitute your point given to you for x and y but leave slope alone. Figure out b.
You should get y=3x-27.
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Solve for x under the assumption that x > 0. Enter your answer in interval notation using grouping symbols.
Delicious77 [7]
<span>Starting with x−24/x<10 multiply everything by x. x^2-24<10x Subtract 10x from both sides. x^2-10x-24 < 0 Factor. (x-12)(x+2) < 0 (x+2) is always positive since x > 0, but (x-12) is negative when x is a value between 0 and 12. This negative value for (x-12) satisfies that the left side is less than 0. Thus the solution set for x is (0,12).</span>
3 0
3 years ago
3A: Determine the value of angle 1 and provide a reason why. *
Otrada [13]

The answer is 45°

By determining the angles of triangle ACB (A=30°, B=45°, C=105° (total of 180°)) and knowing that angle 1 correlates to angle 4 ((1)°=(4)°), we can find angle 1, which is 45°, equal to angle 4.

8 0
3 years ago
Solve the inequality.
vaieri [72.5K]

Answer:

uhhh

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
In Springfield, a specific town in the US, 6 women and 25 men earned bachelor degrees in 2000. In 2010, however, 391 women and 4
Vladimir79 [104]

Answer:

  • See below

Step-by-step explanation:

For women, the initial number is 6, constant rate of change is w, number of years is x.

<u>Find the rate of change and work out the required formula:</u>

  • 10w + 6 = 391 ⇒ 10w = 385 ⇒ w = 38.5

<u>Formula:</u>

  • W(x) = 38.5x + 6

<u>Similarly for men, we get:</u>

  • 10m + 25 = 410 ⇒ 10m = 385 ⇒ m = 38.5

<u>Formula:</u>

  • M(x) = 38.5x + 25
7 0
3 years ago
371 + 18x ≥ 566 solve for X
Andru [333]

18x \geqslant 566 - 371 \\ 18x \geqslant 195 \\  \frac{18x}{18}  \geqslant  \frac{195}{18}  \\ x \geqslant 10.8333333333

YOU CAN EVEN WRITE IT IN THE FRACTION FORM .

BE REMINDED THAT <> CHANGE SIGN WHEN YOU DIVIDE OR MULTIPLY A NEGATIVE NUMBER ONLY.

HOPE THIS HELPS

3 0
1 year ago
Read 2 more answers
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