Let's simplify step-by-step. <span>7−<span>4<span>(<span>3−<span>(<span><span>4y</span>−5</span>)</span></span>)</span></span></span>
<span><span><span /></span></span>Distribute:<span> =<span><span><span>7+<span><span>(<span>−4</span>)</span><span>(3)</span></span></span>+<span><span>(<span>−4</span>)</span><span>(<span>−<span>4y</span></span>)</span></span></span>+<span><span>(<span>−4</span>)</span><span>(5)</span></span></span></span><span>=<span><span><span><span><span>7+</span>−12</span>+<span>16y</span></span>+</span>−20</span></span>
<span><span /></span>Combine Like Terms: <span>=<span><span><span>7+<span>−12</span></span>+<span>16y</span></span>+<span>−20</span></span></span><span>=<span><span>(<span>16y</span>)</span>+<span>(<span><span>7+<span>−12</span></span>+<span>−20</span></span>)</span></span></span><span>=<span><span>16y</span>+<span>−25</span></span></span>
<span><span><span>
</span></span></span>
<span><span><span /></span></span>Answer: <span>=<span><span>16y</span>−<span>25</span></span></span>
Answer <u>(assuming it can be in slope-intercept form)</u>:
Step-by-step explanation:
1) First, use the slope formula
to find the slope of the line. Substitute the x and y values of the given points into the formula and solve:

So, the slope is
.
2) Now, use the slope-intercept formula
to write the equation of the line in slope-intercept form. All you need to do is substitute real values for the
and
in the formula.
Since
represents the slope, substitute
for it. Since
represents the y-intercept, substitute 3 for it. (Remember, the y-intercept is the point at which the line hits the y-axis. All points on the y-axis have an x-value of 0. Notice how the given point (0,3) has an x-value, too, so it must be the line's y-intercept.) This gives the following equation and answer:

Answer:
reflection over the y axis
Step-by-step explanation:
Answer:
Option D. 8.53 units
Step-by-step explanation:
we know that
The triangle OAB is congruent with the triangle OCD
because
OA=OB=OC=OD=radius circle O
AB=CD
therefore
The height of both triangles is equal to 8.53 units
The segment blue is equal to 8.53 units