Answer:
A
Step-by-step explanation:
Let the smaller room have an area of x^2
Let the larger room have an area of (x + 3)^2
(x+3) ^2 + x^2 = 89 Be careful not to make it 89^2.
x^2 + 6x + 9 + x^2 = 89 Expand the binomial squared
2x^2 + 6x + 9 - 89 = 0 Subtract 89 from both sides
2x^2 + 6x + 9 - 89 = 0 Combine
2x^2 + 6x - 90=0 Divide by 2
x^2 + 3x - 45 = 0 This factors.
(x + 9)(x- 5) = 0
X + 9 gives nothing useful
x - 5 = 0
x = 5
x + 3 = 5+3 = 8
So the answer is A
Answer:
the answer is C
Step-by-step explanation:
let's be honest when in doubt just put c
The factorization of the expression of 43x³ + 216y³ is
(7x + 6y)(49x² - 42xy + 36y²)
Step-by-step explanation:
The sum of two cubes has two factors:
1. The first factor is
+ ![\sqrt[3]{2nd}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2nd%7D)
2. The second factor is (
)² - (
) (
) + (
)²
Ex: The expression a³ + b³ is the sum of 2 cubes
The factorization of a³ + b³ is (a + b)(a² - ab + b²)
∵ The expression is 343x³ + 216y³
∵
= 7x
∵
= 6y
∴ The first factor is (7x + 6y)
∵ (7x)² = 49x²
∵ (7x)(6y) = 42xy
∵ (6y)² = 36y²
∴ The second factor is (49x² - 42xy + 36y²)
∴ The factorization of 43x³ + 216y³ is (7x + 6y)(49x² - 42xy + 36y²)
The factorization of the expression of 43x³ + 216y³ is
(7x + 6y)(49x² - 42xy + 36y²)
Learn more:
You can learn more about factors in brainly.com/question/10771256
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Answer:
The correct answer is option B. 17
Step-by-step explanation:
It is given that, ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°
To find the value of m
From the figure we can see that, triangle WYZ is an isosceles triangle.
ZW = ZY
Then <YXZ = <WXZ = 90°
It is given ∠YXZ = (6m – 12)°
(6m – 12)° = 90°
6m = 90 + 12 = 102
m = 102/6 = 17
Therefore the value of m = 17
The correct answer is option B. 17
Red blue and white sperm cell, 3 points
how many chromosomes would reside in its somatic cells?