Cosecθ=sq.rt of 65/8. hope it will help you
Answer:
A
Step-by-step explanation:
Given
4 - t = 3(t - 1) - 5 ← distribute and simplify right side
4 - t = 3t - 3 - 5
4 - t = 3t - 8 ( subtract 3t from both sides )
4 - 4t = - 8 ( subtract 4 from both sides )
- 4t = - 12 ( divide both sides by - 4 )
t = 3
Answer:
(2,1)
Step by step explanation:
Please find the attachment.
We have been given that line
is horizontal and passes through point (1,1). Line
is vertical and passes through point (2,2). We are asked to find point of intersection of line
and line
.
Line
is a horizontal line so y-coordinate will be 1 for any value of x. Line
is a vertical line, so x-coordinate will be 2 for any value of y.
Therefore, intersection point of both lines will include x-coordinate of line
and y-coordinate of line
that is (2,1).
Answer:
Plot y=5x-3
Step-by-step explanation:
The answer is actually choice A
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If we add up the equations straight down we will have 0a+2b = 6
Note how adding the 'a' terms gives us 3a + (-3a) = 3a-3a = 0a. The 0a term is really 0 since 0 times anything is 0. So the 'a' terms will go away
The equation 0a+2b = 6 turns into 0+2b = 6 and that simplifies to 2b = 6
To isolate b, we divide both sides by 2
2b = 6
2b/2 = 6/2
b = 3
We can stop here since only one answer choice has b = 3, which is choice A. However, let's keep going to find the value of 'a'
Plug b = 3 into any equation with 'a' and 'b', then solve for 'a'
3a+4b = 9
3a+4*3 = 9
3a+12 = 9
3a+12-12 = 9-12
3a = -3
3a/3 = -3/3
a = -1
So a = -1 and b = 3 pair up to form (a,b) = (-1,3)
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To check, plug this ordered pair back into both equations
Equation 1:
3a+4b = 9
3*(-1)+4*3 = 9
-3+12 = 9
9 = 9
Equation 1 has been checked out
Equation 2:
-3a-2b = -3
-3(-1)-2(3) = -3
3 - 6 = -3
-3 = -3
this is true as well
So this confirms that the final answer is choice A