It is JG! You must rotate the second triangle so both triangles are at the same angle. Then, look at the lines and find the corresponding line segment on the other triangle.
Answer:
$2800
Step-by-step explanation:
6/100 x 2500 = 150
150 x 2 = 300
2500 + 300 = $2800
<em>Feel free to mark it as branliest :D</em>
Answer: x² - x - 12
Step-by-step explanation: When multiplying two binomials together, we can use the F.O.I.L. method.
<em>First, Outer, Inner, Last</em>.
We take the product of the first terms which is x² plus the product of the outer terms which is -4x plus the product of the inner terms which is 3x plus the product of the last terms which is -12.
So we have x² - 4x + 3x - 12.
Simplifying from here by combing the middle terms, we have x² - x - 12.
Pay very close attention to your positives and negatives as you F.O.I.L. because this is the area where most mistakes occur.
Note the binomial expansion,
(<em>a</em> + 1/<em>a</em>)³ = <em>a</em> ³ + 3<em>a</em> + 3/<em>a</em> + 1/<em>a</em> ³
so
<em>a</em> ³ + 1/<em>a</em> ³ = (<em>a</em> + 1/<em>a</em>)³ - 3 (<em>a</em> + 1/<em>a</em>)
Similarly,
(<em>a</em> + 1/<em>a</em>)² = <em>a</em> ² + 2 + 1/<em>a</em> ²
We're given <em>a</em> ² + 1/<em>a</em> ² = 79, so
(<em>a</em> + 1/<em>a</em>)² - 2 = 79
(<em>a</em> + 1/<em>a</em>)² = 81
<em>a</em> + 1/<em>a</em> = ±9
but <em>a</em> > 0, so we ignore the negative solution.
Then
<em>a</em> ³ + 1/<em>a</em> ³ = 9³ - 3×9 = 702
Answer:
The coefficient in the first term is 4
The constant is 6
There are 4 terms in this expression
The variable in the third term is y
Step-by-step explanation:
The constant is 6 because it is the only term without a variable, therefore the one term that will stay the same/remain constant.
The first term is 4x^2, the second term is -5x, the third term is 3y, and the fourth term is 6.
The variable in the first term is x^2, therefore the coefficient of x^2 is 4.
