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2 years ago

The slope of the line whose equation is 2x + 5y + 1 = 0 is

Mathematics

1 answer:

natita [175]2 years ago

6 0

Answer:

the slope is -2/5

Step-by-step explanation:

Solve for y.

2x + 5y + 1 = 0

5y = -2x - 1

y = -2/5 x - 1/5

Compare to

y = mx + b, where m is the slope.

m = -2/5

Answer: the slope is -2/5

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Help me with this in the next 5 hours

zvonat [6]

The answer is D -28

6 0

3 years ago

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Doug is a dog, and his friend Bert is a bird. They live in Salt Lake City, where the streets are 1/16 miles apart and arranged i

DerKrebs [107]

No map given but it shouldn't matter.

E is the 5th letter, L the 12th.

Start at S(6,12). End at E(10,5)

The vector between them, E-S=(4,-7)

Each unit is 1/16 of a mile, though that probably doesn't matter that much.

Doug has to stay on the grid, so has to run |4|+|7|=11 units. At 30 mi/hr that takes (11/16)/30 = 0.022916 hours.

Bert can go diagonally, so flies √(4²+7²)=√65 ≈ 8.06 units. At 20 mi/hr that takes (8.06/16)/20 = 0.025194 hours.

Answer: Doug wins

Why? Because it's quicker to cover 4+7 at 30 mph than it is to cover √(4²+7²) at 20 mph. That is, Doug is 1.5 times faster and the 1.5 times the diagonal distance is more than the grid distance.

5 0

3 years ago

Read 2 more answers

if a tv has a diagonal measurement of 55 and a height of 30, what is the tvs width? round to the nearest whole number

Sati [7]

Answer:

Step-by-step explanation:

The geometry can be modeled by a right triangle. The diagonal measure is the hypotenuse, and the height is one leg. The width is the other leg, and can be found using the Pythagorean theorem.

<h3>Pythagorean theorem</h3>

The relation between the leg lengths (a, b) and the hypotenuse (c) is ...

c² = a² +b²

Solving for b gives ...

b = √(c² -a²)

<h3>application</h3>

In this problem, we have c=55 and a=30. Then the width of the TV is ...

b = √(55² -30²) = √(3025 -900) = √2125

b ≈ 46.098

The width of the TV is about 46.

7 0

2 years ago

I have the answer, 2-(3/x+2)

Marat540 [252]

Start with the answer format we want, and work your way toward forming a single fraction like so

$a + \frac{b}{x+2}\\\\a*1+\frac{b}{x+2}\\\\a*\frac{x+2}{x+2}+\frac{b}{x+2}\\\\\frac{a(x+2)}{x+2}+\frac{b}{x+2}\\\\\frac{a(x+2)+b}{x+2}\\\\\frac{ax+2a+b}{x+2}\\\\\frac{ax+(2a+b)}{x+2}\\\\$

Compare that last expression to (2x+1)/(x+2). Notice how the ax and 2x match up, so a = 2 must be the case.

Then we have 2a+b as the remaining portion in the numerator. Plugging in a = 2 leads to 2a+b = 2*2+b = 4+b. Set this equal to the +1 found in (2x+1)/(x+2) to have the terms match.

So, 4+b = 1 leads to b = -3

Therefore, a = 2 and b = -3

------------------------------------------------

An alternative route:

$\frac{2x+1}{x+2}\\\\\frac{2x+1+0}{x+2}\\\\\frac{2x+1+4-4}{x+2}\\\\\frac{(2x+4)+1-4}{x+2}\\\\\frac{2(x+2)-3}{x+2}\\\\\frac{2(x+2)}{x+2}+\frac{-3}{x+2}\\\\2-\frac{3}{x+2}\\\\$

I added and subtracted 4 in the third step so that I could form 2x+4, which then factors to 2(x+2). That way I could cancel out a pair of (x+2) terms toward the very end.

------------------------------------------------

Other alternative methods involve synthetic division or polynomial long division. They are slightly separate but related concepts.

3 0

3 years ago

Read 2 more answers

Help please!!

nekit [7.7K]

Answer:

<u>Principal</u><u> </u><u>is</u><u> </u><u>$</u><u>1</u><u>0</u><u>0</u><u>0</u>

Step-by-step explanation:

• From the formular of simple interest:

$s.i = principal \times rate \times time$