Y=145, I’m not sure about X
Answer:
a = 3
Step-by-step explanation:
Factor both expressions
x² - x - 6
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 1)
The factors are - 3 and + 2 , since
- 3 × 2 = - 6 and - 3 + 2 = - 1 , thus
x² - x - 6 = (x - 3)(x + 2)
-----------------------------------
x² + 3x - 18
consider factors of constant term (- 18) which sum to give the coefficient of the x- term (+ 3)
The factors are + 6 and - 3 , since
6 × - 3 = - 18 and 6 - 3 = + 3 , thus
x² + 3x - 18 = (x + 6)(x - 3)
Both expressions have a common factor of (x - 3)
Compare with (x - a ), then a = 3
Answer:
wouldnt it be (6,-1)...
Step-by-step explanation:
because those are the cords your said c was at
Answer:
(53.3; 56.1)
Step-by-step explanation:
Given that:
Sample size, n = 41
Mean, xbar = 54.7
Standard deviation, s = 5.3
Confidence level, Zcritical at 90% = 1.645
Confidence interval :
Xbar ± Margin of error
Margin of Error = Zcritical * s/sqrt(n)
Margin of Error = 1.645 * 5.3/sqrt(41)
Margin of Error = 1.362
Lower boundary = 54.7 - 1.362 = 53.338
Upper boundary = 54.7 + 1.362 = 56.062
(53.3 ; 56.1)
Answer:
Step-by-step explanation:
Let the length of rectangle A be x units.
So, length of rectangle B
= x + 25% of x
= x + 0.25x
= 1.25x
Let the width of rectangle A be y units
So, Width of rectangle B
Area of rectangle A = xy
Area of rectangle B
= 1.25x * 0.6y
= 0.75xy
![\frac{Area \:of\: rectangle\: A}{Area \:of\: rectangle\: B} =\frac{xy}{0.75xy}\\\\\frac{Area \:of\: rectangle\: A}{Area \:of\: rectangle\: B} =\frac{1}{0.75}\\\\\frac{Area \:of\: rectangle\: A}{Area \:of\: rectangle\: B} =\frac{100}{75}\\\\\red{\bold{\frac{Area \:of\: rectangle\: A}{Area \:of\: rectangle\: B} =\frac{4}{3}}} \\\\](https://tex.z-dn.net/?f=%20%5Cfrac%7BArea%20%5C%3Aof%5C%3A%20rectangle%5C%3A%20A%7D%7BArea%20%5C%3Aof%5C%3A%20rectangle%5C%3A%20B%7D%20%3D%5Cfrac%7Bxy%7D%7B0.75xy%7D%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%5Cfrac%7BArea%20%5C%3Aof%5C%3A%20rectangle%5C%3A%20A%7D%7BArea%20%5C%3Aof%5C%3A%20rectangle%5C%3A%20B%7D%20%3D%5Cfrac%7B1%7D%7B0.75%7D%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3E%5Cfrac%7BArea%20%5C%3Aof%5C%3A%20rectangle%5C%3A%20A%7D%7BArea%20%5C%3Aof%5C%3A%20rectangle%5C%3A%20B%7D%20%3D%5Cfrac%7B100%7D%7B75%7D%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%5Cred%7B%5Cbold%7B%5Cfrac%7BArea%20%5C%3Aof%5C%3A%20rectangle%5C%3A%20A%7D%7BArea%20%5C%3Aof%5C%3A%20rectangle%5C%3A%20B%7D%20%3D%5Cfrac%7B4%7D%7B3%7D%7D%7D%20%5C%5C%5C%5C)