Solution:
<u>Step-1: Multiply 2 to an equation such that a term is equivalent.</u>
5x + 4y = 21
5x + 4y = 21
5x + 4y = 21
<u>Step-2: Subtract the equations to remove the y variable.</u>
-5x - 4y = -21
<u>Step-3: Divide to obtain the x variable.</u>
- -11x = -99
- => x = -99/-11
- => x = 9
<u>Step-4: Substitute the value of x into any equation to obtain the value of y.</u>
- -3x + 2y = -39
- => -3(9) + 2y = -39
- => -27 + 2y = -39
- => 2y = -39 + 27
- => 2y = -12
- => y = -6
Hence, the solution to your question is (9,-6).
Answer:
maximum value y = 30
Step-by-step explanation:
Given
- x² + 10x + 5
To complete the square the coefficient of the x² term must be 1
factor out - 1
= - (x² - 10x) + 5
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 10x
= - (x² + 2(- 5)x + 25 - 25) + 5
= - (x - 5)² + 25 + 5
= - (x - 5)² + 30 ← in vertex form
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Hence vertex = (5, 30)
The max/ min occurs at the vertex
Since a < 0 then vertex is a maximum
Hence maximum value is y = 30
The answer is 110. I just took the quiz on k12
Any rays coming from the center are all the same distance. The equation for circumference is c=pi(r)^2 so pi is 3.14, and the radius is 5 mm. 5^2 or 5 x 5 is equal to 25. 3.14(25)
So the answer would be 78.5 mm
Hope this helps!
If it’s a chart it would be the units so like the boxes if it makes sense so if you know what units are you would understand :)
