Answer:
2x³ + 4x² - 2x - 4
Step-by-step explanation:
Expand the first pair of factors then multiply by (2x + 2)
= (x² + x - 2)(2x + 2) → distribute terms
= x²(2x + 2) + x(2x + 2) - 2(2x + 2)
= 2x³ + 2x² + 2x² + 2x - 4x - 4 ( collect like terms )
= 2x³ + 4x² - 2x - 4 ← in standard form
Answer:
3) Obtuse
4) Right
Step-by-step explanation:
3)
11 + 13 > 25 It is a triangle
11² + 13² = 25²
121 + 169 = 625
290 ≠ 625
Since hypotenuse is larger, the triangle is obtuse
4)
21 + 28 > 35 It is a triangle
21² + 28² = 35²
441 + 784 = 1225
1225 = 1225
Since the hypotenuse is equal to the legs, it's a Right triangle
Answer:
V = 3053.63 mm^3
Step-by-step explanation:
radius : 9mm
V = 4/3 * pi * r^3
V = 4/3 * (3.1415926535898...) * 9^3
V = 3053.63 mm^3
The percent increase in enrollment is 6 %
The operation used in first step is finding the difference between final value and initial value
<h3><u>Solution:</u></h3>
Given that This year, 1,272 students enrolled in night courses a a local college
Last year only 1,200 students enrolled.
To find: percent increase in the enrollment
The percent increase between two values is the difference between a final value and an initial value, expressed as a percentage of the initial value.
<em><u>The percent increase is given as:</u></em>
Here initial value (last year) = 1200 and final value(this year) = 1272
Substituting the values in above formula,
Thus percent increase is 6 %
Answer:
Example any whole number over one would be an improper fraction, so 2=2/1, something like 5/3=1 2/3 would be a mixed number, subtract the numerator by the denominator, how ever many times you can subtract is the whole number and the amount remaining is the numerator, keep the same denominator,,, hope that makes sense
Step-by-step explanation:
