Answer:
The equation of line is given by

Step-by-step explanation:
We have been given the points (–2, 2) and (0, 5) and we have to find the equation of the line.
Let us first find the slope of the line using the formula

On substituting the values, we get


Now, using the point slope form, the equation of line is given by

Therefore, the equation of line is given by

Answer:
x = √(10) - 2, -√(10) - 2
Step-by-step explanation:
x² + 4x + 4 = 10
factor:
(x + 2)² = 10
take square root of both sides:
x + 2 = ±√(10)
split into 2 equations:
x + 2 = √(10) x + 2 = -√(10)
solve both equations and collect solutions:
x = √(10) - 2, -√(10) - 2
Answer:
-15
Step-by-step explanation:
<u>Definition of absolute value: </u>
<em>Distance from zero on a number line. </em>
<em />
Imagine a number line with 0 in the middle of it. Now mark the number 3 on it. Also mark the <em>opposite </em>of 3, which is -3. What is the <u>distance</u> from zero to those 2 points? it's 3.
This is exactly like saying |3| = 3 and |-3| = 3
Even if the number inside absolute value is negative, it <em><u>simplifies</u></em> to the positive of the same number.
_______________________________
So let's talk about your problem.
-|-15|
> the absolute value simplifies to 15
-|-15| = - 15
So that ends up being your answer.

Hope this helps!!!!!!!
<span><span><span>4x</span>+6</span>=<span>2<span>(<span><span>3x</span>−4</span>)
</span></span></span>
<span><span><span /></span></span>Step 1: Simplify both sides of the equation.
<span><span><span>4x</span>+6</span>=<span>2<span>(<span><span>3x</span>−4</span>)
</span></span></span>
<span><span><span /></span></span><span><span><span>4x</span>+6</span>=<span><span><span>(2)</span><span>(<span>3x</span>)</span></span>+<span><span>(2)</span><span>(<span>−4</span>)</span></span></span></span>(Distribute)
<span><span><span>4x</span>+6</span>=<span><span><span>6x</span>+</span>−8
</span></span>
<span><span /></span><span><span><span>4x</span>+6</span>=<span><span>6x</span>−8
</span></span>
<span><span /></span>Step 2: Subtract 6x from both sides.
<span><span><span><span>4x</span>+6</span>−<span>6x</span></span>=<span><span><span>6x</span>−8</span>−<span>6x
</span></span></span>
<span><span><span /></span></span><span><span><span>−<span>2x</span></span>+6</span>=<span>−8
</span></span>
<span><span /></span>Step 3: Subtract 6 from both sides.
<span><span><span><span>−<span>2x</span></span>+6</span>−6</span>=<span><span>−8</span>−6
</span></span>
<span><span /></span><span><span>−<span>2x</span></span>=<span>−14
</span></span>
<span><span /></span>Step 4: Divide both sides by -2.
<span><span><span>−<span>2x</span></span><span>−2</span></span>=<span><span>−14</span><span>−2
</span></span></span>
<span><span><span /></span></span><span>x=7
</span>
<span />
Answer:
4x -4 24
Step-by-step explanation:
Remember distribution, 4 × x then 4 x -6