A line has a slope of Negative one-half and a y-intercept of –2.What is the x-intercept of the line?

Mathematics

1 answer:

lys-0071 [83]3 years ago

3 0

Answer:

The x intercept would be -4

Step-by-step explanation:

First, get your numbers into slope intercept form, y = mx + b. This would be y = -1/2x - 2. Then, replace y for 0, which would be 0 = -1/2x - 2. Add 2 on both sides to get 2 = -1/2x. then, multiply each side by -2, you end up with -4 = x, which means -4 is your x intercept.

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I have chosen 4 MYSTERY INTEGERS. At least one is positive and one is negative. <br> Follow these clues to figure out my integer

kirill [66]

Let the four numbers be A,B,C,D in ascending order.

The key is in conditions 2 & 3.
B-C=-4, and B+C=0
therefore B=-2, C=2 by solving the two previous equations.

Given that the product of the two greatest numbers is 6, we have C*D=6, or
D=6/C=6/2=3
Now since the sum of all the four numbers is -6, we have
A+B+C+D=-6
A-2+2+3=-6
A=-6+2-2-3=-9
Check: we were told smallest divided by greatest = A/D=-9/3=-3 ok.

So the numbers are
A=-9, B=-2, C=2, D=3.

4 0

3 years ago

Which of the following equations, in its simplest form,

Ilya [14]

Hi there!

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I believe your answer is:

$\boxed{x-1+x-2+x}$

»»————-　★　————-««

Here’s why:

⸻⸻⸻⸻ $\boxed{\text{Simplifying the Expression...}}\\\\3x+2+(-5)\\----------------\\\rightarrow 3x+2-5\\\\\rightarrow\boxed{3x-3}\\\\\text{This is not an answer choice, so we would find an expression equivalent to the one above.}$ ⸻⸻⸻⸻

$\boxed{2 +3x+5}\\\\\rightarrow 3x + 5 + 2\\\\\rightarrow \boxed{3x + 7}\\\\\text{This is \textbf{NOT} equivalent.}$

⸻⸻⸻⸻

$\boxed{x-1+x-2+x}}\\\\\rightarrow x+x+x -1-2\\\\\rightarrow \boxed{3x-3}\\\\\text{This is \textbf{equivalent}.}\\\\\text{This answer choice and the expression given has the same result when simplified.}$