A^2 + b^2 = c^2
b^2 = c^2 - a^2
b^2 = 137^2 - 105^2
b^2 = 18769 - 11025
b^2 = 7744
b = sqrt 7744
b = 88
Gina's step is not correct... the length of the unknown leg is not 7744, it is the sqrt of 7744, which is 88
-- When the 7.1 and 12.6 sides both point in exactly the same direction,
their open ends are 5.5 apart. So the missing side must be greater than 5.5 .
All of the choices are greater than 5.5 , so we haven't found it yet.
-- When the 7.1 and 12.6 point in opposite directions, their open ends are
19.7 apart. So the missing side can't be greater than 19.7, otherwise the
two sides we know couldn't reach between its ends. <u>Choice 'E'</u> is greater
than 19.9, so it can't be the missing side.
You are to graph <span>y = |1.6x – 2| – 3.2. I trust you know that the graph of y=|x| is v-shaped, opening up, with vertex at (0,0).
Let's rewrite </span><span>y = |1.6x – 2| – 3.2 by factoring 1.6 out of |1.6x - 2|:
</span><span>y = 1.6*|x – 2/1.6| – 3.2
This tells us that the vertex of </span><span>y = |1.6x – 2| – 3.2 is at (2/1.6, -3.2). If you need an explanation of why this is, please ask.
Plot the vertex at (1.25, -3.2).
Find the y-intercept: Let x = 0 in </span><span>y = |1.6x – 2| – 3.2 and find y:
y = 2-3.2 = -1.2
The y-intercept is located at 0, -1.2)
Plot this y-intercept.
Now draw a straight line from the vertex to this y-intercept. Reflect that line across the y-axis to obtain the other half of the graph.</span>
Answer:
$5.70
Step-by-step explanation:
→ Find the total amount they needed to pay
11.40 × 2 = 22.80
→ Divide the total by 4
22.80 ÷ 4 = $5.70
You just plug in the -2 for x to get the equation -2^2–3•-2+4= 6
