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4 years ago

I need help with these two questions can some explain it to me how to do these two question

Mathematics

1 answer:

GrogVix [38]4 years ago

6 0

the numbers inside the () are first number is x second number is y so it is (x,y)

so for y<x the second number needs to be smaller than the first number

so right away (3,3) is not the answer

and then y also has to be greater then 2x-3

so replace x with the fist numbers and see what you get.

(2x2)-3 = 4-3 = -1 since -1 is not greater than -1 the second answer (2,-1) is not right

3rd one (-1,-2) 2(-1)-3 = -2-3=-5

so -2 is greater than -5 and -2 is less than -1 so the 3rd one is the answer

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3x+4y=5

KonstantinChe [14]

3x + 4y = 5
2x - 5y = 8

To answer this question, we need to put both of these equations into Slope-Intercept form, or in other words, solve for y.

3x + 4y = 5 Subtract 3x from both sides
4y = -3x + 5 Divide both sides by 4
y = $-\frac{3}{4}$ + $\frac{5}{4}$

2x - 5y = 8 Subtract 2x from both sides
-5y = -2x + 8 Divide both sides by -5
y = $\frac{2}{5}$ - $\frac{8}{5}$

When you look at the two equations, you can see that their slopes are completely different, so they aren't parallel, or inconsistent. Since $\frac{2}{5}$ is not the same as<span> $-\frac{3}{4}$ , they aren't the same line, or dependent. So, the only option left is that they are consistent and independent.</span>

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3 years ago

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Citrus2011 [14]

I think the answer is B

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3 years ago

40 POINTS!

spayn [35]

Answer:

70°, 140°, 50°

Step-by-step explanation:

110° and the angle inside the triangle are adjacent angles and sum to 180°, so

angle inside triangle = 180° - 110° = 70°

The triangle on the left is isosceles ( 2 congruent sides ) then base angles are congruent

∠ 1 = angle inside triangle = 70°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 2 is an exterior angle of the triangle on the left, so

∠ 2 = 70° + 70° = 140°

∠ 2 is also an exterior angle of the triangle on the right, so

∠ 3 + 90° = 140° ( subtract 90° from both sides )

∠ 3 = 50°

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stealth61 [152]

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4 years ago

Read 2 more answers

Emma has a board 5 feet long and cuts it into 6 equal pieces how long in feet is eacgpeace if the board in a fraction

il63 [147K]

Answer:

Imagine an easier version of this problem: You have a board 5 feet long that you must cut (divide, right?) into two equal parts. It is probably clear to you that you simply divide the length (5) by the number of parts you're dividing it into (2) to obtain the length of each piece (2.5 feet).

Use the same method for your problem 5 feet divided by 6 is 0.83 feet per piece.

We do not ordinarily divide feet into decimal portions, but instead into inches. Since an inch is 1/12 of a foot, you could simply say 5/6 = how many twelfths? or 5/6 = n/12 Solve this by inspection or by cross multiplying 5 times 12 equals n times 6. So n must equal 10, and your pieces of board are each 10 inches long.

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3 years ago