Step-by-step explanation:
7x² + 42x − 49
Factor using the AC method.
(x − 1) (7x + 49)
Set each factor to 0 to find the zeros.
x − 1 = 0, 7x + 49 = 0
x = 1, x = -7
These represent the x-intercepts of the graph y = 7x² + 42x − 49.
Start off by using the Pythagorean Theorem: a^2 + b^2 = c^2
12^2 + 35^2 = 37^2
144 + 1,225 = 1,369
1,369 = 1,369
If the left side equals the right side than it is a right triangle.
Your answer is: Yes
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Since we don't know where to start, we can always give that a variable which in this case, it's X. Since we are finding the sum of three consecutive odd numbers, we will be skipping numbers so we can add 2 each time. Now, let's set up an equation.
<h2>
X + X + 2 + X + 4 = 159</h2><h2 /><h2>
3x + 6 = 159</h2><h2>
-6 -6 ← subtract 6 on both sides</h2><h2 /><h2>
3x = 153</h2><h2>
÷3 ÷3 ← divide both sides by 3</h2><h2 /><h2>
X = 51</h2><h2>
X + 2 = 53</h2><h2>
X + 4 = 55</h2><h2 />
Therefore, the smallest of our three consecutive integers is 51.
If you are solving this equation for c, your equation would look like this...
= 8
All you have to do is multiply both sides by 8 to get rid of the denominator on the left.
Your equation then looks like this...
7c = 64
Then divide by 7 and c = 64/7