Alvin is 16 and Elga is 8.
16 is two times bigger than 8 and 16+8= 24
Answer:
x = 1 and vertex = (1, - 7 )
Step-by-step explanation:
Given a quadratic function in standard form
y = ax² + bx + c ( a ≠ 0 )
The the equation of the axis of symmetry which is also the x- coordinate of the vertex is
x = -
y = 4x² - 8x - 3 ← is in standard form
with a = 4, b = - 8 , then
x = - = 1
That is equation of axis of symmetry is x = 1
Substitute x = 1 into the function for y- coordinate of vertex
y = 4(1)² - 8(1) - 3 = 4 - 8 - 3 = - 7
vertex = (1, - 7 )
You multiply the number by 100.
E.g: 40-40%. 40x100=0.40=40%
4a) The length of WY is congruent to the length of WX so set them equal and solve for n.
5n - 2 = 2n + 7; add 2 to both sides
5n = 2n + 9; subtract 2n from both sides
3n = 9; divide both sides by 3
n = 3; substitute 3 in for the value of n
2(3) + 7 = WY
6 + 7 = WY
13 = WY
4b) First find the value of KN by using the pythagorean theorem (a² + b² = c²) so the value of KN is 17² = 14² + KN² or √19
Then you can use that value to find the value of NL using pythagorean theorem again. 17² = √19² + NL² or √270.
To find OL, divide √270 by 2 to get approximately 8.22
Hope this helps!!
***I actually just realized that the measure of NL is 14 and 1/2 of 14 is 7 so 7 is probably more accurate***