Answer:
41x² - 27x + 27
Step-by-step explanation:
Perimeter of Rectangle:
= 2(20x²-12x+4) + 2(5x²-5x+15)
= 40x²-24x+8 + 10x²-10x+30
= 50x²-34x+38
Perimeter of Triangle:
= 6x²+6x+3x+3+3x²-2x+8
= 9x²+7x+11
Difference:
(50x²-9x²)+(-34x+7x)+(38-11)
= 41x² - 27x + 27
Answer:
3x+7
Step-by-step explanation:
4x+7-x=4x-x+7=3x+7
Answer:
A. The solution set is x = 5 or -7
Step-by-step explanation:
![\sqrt[4]{ {x}^{2} + 2x } = \sqrt[4]{35} \\ {({x}^{2} + 2x) }^{ \frac{1}{4} } = {(35)}^{ \frac{1}{4} } \\ {x}^{ \frac{1}{2} } + {2x}^{ \frac{1}{4} } = {35}^{ \frac{1}{4} } \\ {x}^{2} + 2x = 35 \\ {x}^{2} + 2x - 35 = 0 \\ (x - 5)(x + 7) = 0 \\ x = 5 \: or \: - 7](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%20%7Bx%7D%5E%7B2%7D%20%2B%202x%20%7D%20%20%3D%20%20%5Csqrt%5B4%5D%7B35%7D%20%20%5C%5C%20%7B%28%7Bx%7D%5E%7B2%7D%20%2B%202x%29%20%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%20%3D%20%20%7B%2835%29%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%20%5C%5C%20%7Bx%7D%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%20%7D%20%2B%20%7B2x%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%20%20%3D%20%20%7B35%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%20%5C%5C%20%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%202x%20%3D%2035%20%5C%5C%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%202x%20%20-%20%2035%20%3D%200%20%5C%5C%20%28x%20-%205%29%28x%20%2B%207%29%20%3D%200%20%5C%5C%20x%20%3D%205%20%20%5C%3A%20or%20%5C%3A%20%20-%207)
Therefore, the answer is A. as the solution is x = 5 or -7
Given:
A right angled triangle.
To find:
The value of x.
Solution:
We have,
Base = x
Hypotenuse = 
In a right angle triangle,
For the given triangle,
Multiply both sides by .
Therefore, the required value of x is 
.
Answer:
<em>The number of students in the drama club is 7 and the number in the choir is 14</em>
Step-by-step explanation:
X = Number of students in choir club
Y = Number of students in drama club
<u>First equation:</u>
x + y = 21
<u></u>
<u>Since we know that there are 7 more students in the choir club than the drama club, that means:</u>
x + 7 = y
<u>A little trick that you can do to find y is this:</u>
21 students in the choir and drama club - 7
=> 14
Meaning that y is 14
<u>So lets go back into our second equation:</u>
x + 7 = 14
7 + 7 =14
x=7
<u>Plug both variables in:</u>
7 + 14 = 21
So that means that there are 7 students in the drama club and 14 students in the choir club.
