Answer:
-2x + 7/5
Step-by-step explanation:
(7-10x)/5
= 
+ 
= -2x + 7/5
√10x-24 = x
Step by step solution :
STEP
1
:
Isolate the square root on the left hand side
Radical already isolated
√10x-24 = x
STEP
2
:
Eliminate the radical on the left hand side
Raise both sides to the second power
(√10x-24)2 = (x)2
After squaring
10x-24 = x2
STEP
3
:
Solve the quadratic equation
Rearranged equation
x2 - 10x + 24 = 0
This equation has two rational roots:
{x1, x2}={6, 4}
STEP
4
:
Check that the first solution is correct
Original equation
√10x-24 = x
Plug in 6 for x
√10•(6)-24 = (6)
Simplify
√36 = 6
Solution checks !!
Solution is:
x = 6
STEP
5
:
Check that the second solution is correct
Original equation
√10x-24 = x
Plug in 4 for x
√10•(4)-24 = (4)
Simplify
√16 = 4
Solution checks !!
Solution is:
x = 4
Answer:
y = 12
Step-by-step explanation:
Looking at the large triangle
tan 30 = opposite / adjacent
tan 30 = 4 sqrt(3)/ y
Multiply each side by y
y tan 30 = 4 sqrt (3)
We know tan 30 = sqrt(3)/3
y * sqrt(3)/3 = 4 sqrt(3)
Multiply each side by 3/ sqrt(3) to isolate y
y * sqrt(3)/3 * 3/ sqrt(3) = 4 sqrt(3) * 3 /sqrt(3)
y = 12
Y3 = y x 3 = 4 x 3 = 12
4z = 4 x z = 4 x 6 = 24
12 + 24 - 16
Im using PEMDAS I’m not sure if you use another order of operations if you do just do the expression your way
12 + 24 = 36
36 - 16 = 20
A. 20
Answer:
The correct answer is Option B: Quadrants II and III have negative x-coordinates.
Just FYI: Quadrants II and III have both positive and negative y-coordinates.
