Answer:
0.65:1
Step-by-step explanation:
The area for a trapezoid is A = 1/2 h (base 1 + base 2). You have the top base of 8. But straight down underneath that is also a base of 8. Next to that 8 you have a 4, so thus far you have a bottom base of 8 + 4. But you're missing what's over on the left. That base measure of that triangle is also 4, because the triangles are congruent. So the whole bottom base is 4 + 8 + 4 = 16. Now you have everything you need: A = 1/2 (6) (8 + 16). Do the addition inside the parenthesis first to get 24. Now multiply that by 6 to get 144. Now finally, divide that by 2 to get 72 cm^2
Answer:
D) 0 = 2(x + 5)(x + 3)
Step-by-step explanation:
Which of the following quadratic equations has no solution?
We have to solve the Quadratic equation for all the options in other to get a positive value as a solution for x.
A) 0 = −2(x − 5)2 + 3
0 = -2(x - 5) × 5
0 = (-2x + 10) × 5
0 = -10x + 50
10x = 50
x = 50/10
x = 5
Option A has a solution of 5
B) 0 = −2(x − 5)(x + 3)
Take each of the factors and equate them to zero
-2 = 0
= 0
x - 5 = 0
x = 5
x + 3 = 0
x = -3
Option B has a solution by one of its factors as a positive value of 5
C) 0 = 2(x − 5)2 + 3
0 = 2(x - 5) × 5
0 = (2x -10) × 5
0 = 10x -50
-10x = -50
x = -50/-10
x = 5
Option C has a solution of 5
D) 0 = 2(x + 5)(x + 3)
Take each of the factors and equate to zero
0 = 2
= 0
x + 5 = 0
x = -5
x + 3 = 0
x = -3
For option D, all the values of x are 0, or negative values of -5 and -3.
Therefore the Quadratic Equation for option D has no solution.
So for CE, you add CD and DE together = CE.
4x+8+27=6x
4x+35=6x
4x-6x=-35
-2x=-35
x=17.5
Answer is the second one: CE=17.5
For ST, you just add SM and MT.
27+58=85
ST=85
751.2 divided by 25 is 30.048.
