Answer:
342in
Step-by-step explanation:
18. Solve for x by factoring diamond method
10x^2 - 29x - 21 = 0 becomes
(2x - 7)(5x + 3) = 0
x = 7/2, -3/5
A
19. To model this we will do
(x + 9)(x + 9) = 169
distribute
x^2 + 18x - 88 = 0
factor
(x - 4)(x + 22) = 0
The length is 4m
D
20. This can be modeled by
(l)(l +5) = 234
distribute
l^2 + 5l -234 = 0
factor
(l-13)(l+18) = 0
The length is 13
The width is 18
B
21. To find this you divide the x term by 2 and square it so
10/2 = 5
5^2
25
B
22. To find this you divide the x term by 2 and square it so
9/2 = 4.5
4.5^2
81/4
C
Its D) amplitude=2 and midline y=2
Answer: y=5x+3
Step by step explanation:
Perpendicular meaning that the product of the slope/gradient is -1 hence ...
-1/5 * x = -1
x = -1/-1/5
x = 5
The equation perpendicular to y=-1/5x-3 is y=5x-c
Now it contains the points (1,2)
x variable is 1 and y variable is 2 plug them into the line equation
2=5(1)-c
2=5-c
2-5=-c
-3=-c divide by -1
3=c
Hence the perpendicular equation is y=5x+3
Hopefully it’s correct :)
Let x = # of Republicans
x + 4 = # of Democrats
x + x + 4 = 100
x = 48
48 + 4 = 52
There are 52 Democrats and 48 Republicans.
