3000+200+60+4 I think would be the answer from what I remember
Answer:
(5,18) & (-5 , 38)
Step-by-step explanation:
<h3>Solutions of linear and quadratic system of equations:</h3>
A linear equation represented by a line in a graph intersect the quadratic equation represented by a parabola zero, one or two times.
f(x) = x² - 2x + 3 -------------------(I)
f(x) = -2x + 28 ---------------------(II)
x² - 2x + 3 = -2x + 28
x² - 2x + 2x + 3 - 28 = 0
x² - 25 = 0
x² = 25
x = √25 = √5*5
x = ± 5
Plugin x = 5 in equation (II),
f(5) = -2*5 + 28
= -10 + 28
= 18
(5 , 18)
Plugin x = -5 in equation (II),
f(-5) = -2*(-5) + 28
= 10 + 28
= 38
(-5, 38)
Answer: 28.9 inches ; 15.7 inches
Step-by-step explanation:
Given that:
Width to height = 16 : 9
Hence,
Width = 16x ; height = 9x
Using Pythagoras, solve for the length of the diagonal = 32
32² = 16x² + 9x²
1024 = 256x² + 81x²
1024 = 337x²
x² = 1024 / 337
x² = 3.0385756
x = 1.7431510
Width = 16( 1.7431510) = 27.89 = 28.9
height = 9(1.7431510) = 15.688 = 15.7