First, we are going to use the Pythagorean identity:
to rewrite our expression. Solving for
in our Pythagorean identity we get that
, so we can rewrite our expression as follows:
Next, we are going to use the trig identity:
to completely simplify our expression:
We can conclude that
Answer: When they take my phone I take it back when there not looking
Answer:
Step-by-step explanation:
F(x) = x² - 2x + 1
= (x - 1)²
By comparing this equation with the vertex form of the quadratic equation,
y = (x - h)² + k
Here, (h, k) is the vertex
Vertex of the parabola → (1, 0)
x-intercepts → (x - 1)² = 0
x = 1
y-intercepts → y = (0 - 1)²
y = 1
Now we can draw the graph of the given function,
From this graph,
As x → 0,
f(0) = (0 - 1)²
= 1
Since, 
Therefore, given function is continuous at x = 0.
Slope of the line passing through two points <span><span>P=<span>(<span><span>x1</span>,<span>y1</span></span>) </span></span></span>and <span><span>Q=<span>(<span><span>x2</span>,<span>y2</span></span>)</span></span></span> is given by <span><span>m=<span><span><span>y2</span>−<span>y1/</span></span><span><span>x2</span>−<span>x1</span></span></span></span></span>.
We have that <span><span><span>x1</span>=−8</span></span>, <span><span><span>y1</span>=−3</span></span>, <span><span><span>x2</span>=−3</span></span>, <span><span><span>y2</span>=4</span></span>.
Plug given values into formula for slope: <span><span>m=<span><span><span>(4)</span>−<span>(<span>−3</span>)/</span></span><span><span>(<span>−3</span>)</span>−<span>(<span>−8</span>)</span></span></span>=<span>7/5</span></span></span>.
Now y-intercept is <span><span>b=<span>y1</span>−m⋅<span>x1</span></span></span> .
<span><span>b=−3−<span>(<span>7/5</span>)</span>⋅<span>(<span>−8</span>)</span>=<span>41/5.</span></span></span>
Finally, equation of the line can be written in the form <span><span>y=mx+b</span></span>.
<span><span>y=<span>7/5</span>x+<span>41/5</span></span></span>
Answer:
3.167
Step-by-step explanation:
Hope this helps
