Answer: (D) 9
<u>Step-by-step explanation:</u>
This is an isosceles triangle. Since the legs are congruent, then the base angles are congruent.
9x + 3 = 84
<u> - 3 </u> <u> -3 </u>
9x = 81
<u>÷9 </u> <u>÷9 </u>
x = 9
The sum of cubes is given as:
a³ + b³ = (a + b)(a² - ab + b²)
Example for the sum of cubes:
64x³+y³ ⇒ This is the sum of cubes because each term; 64, x³, and y³ are cube numbers
By writing each term as an expression of cube numbers, we have:
(4x)³ + (y)³ ⇒ 64 is 4³
Use the factorization of the sum of cubes, we have:
(4x + y) ( (4x)²- 4xy + y²)
(4x + y) (16x² - 4xy + y²)
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The difference of cubes can be factorized as:
(x³ - y³) = (x - y)(x² + xy + y²)
Example
(125x³ - 8y³) = (5x - 2y) ((5x)² + (5x)(2y) + (2y)²)
= (5x - 2y) (25x² + 10xy + 4y²)
Exactly like the previous question you posted.
-3x² - 9x = 0
Divide each side of the equation by -3 :
x² + 3x = 0
Factor the left side:
x (x + 3) = 0
This is true if x=0 or if x=-3 .
Answer:
The true answer is " -3 < -1.
Step-by-step explanation:
I say this because these numbers are negatives. If you put them on a number line you can see that the bigger numbers are farther from the postitives. Postitive numbers are bigger so whatever is close to them is bigger. So because (-1) is closer to them it would be greater, which is what the symbol "<' states.
P(B) = 2/15
The area of rectangle A is 5(7) = 35 in².
The area of rectangle B is 3(4) = 12 in²
The area of square C is 4(4) = 16 in²
The area of rectangle D is 3(9) = 27 in²
The total area of the figure is 35+12+16+27 = 90 in².
The probability of hitting B is 12/90 which simplifies to 2/15.
