Answer:
y = 2/3x - 1
Step-by-step explanation:
Find the slope:
2y = 3x - 5
2/2y = 3/2x - 5/2
y = 3/2x - 5/2
Slope is 3/2
In order for a line to be perpendicular the slope in the equation should be flipped. 3/2 becomes 2/3.
Perpendicular equation:
y = 2/3x + b
b is going to be equal to the y intercept of the point they gave us, so -1.
Answer: y = 2/3x - 1
Answer:
168). C
169). C
170). C
Step-by-step explanation:
For the first angle, it is a right angle, so it measures 90 degrees.
x and 50 are complementary angles, meaning they add up to 90 degrees.
So, subtract 50 from 90 to get 40, which is equal to x.
45 and x are supplementary angles, meaning they add up to 180 degrees.
Subtract 45 from 180 to get 35 degrees, which is the measure of angle x.
All angles in a triangle add up to 180 degrees.
So, 70 + 56 = 126, 180 - 126 = 54.
Since the unknown angle is x - 5, 54 + 5 = 59, which the the measure of angle x - 5.
I don't like algebra pretending to be geometry. These are supplementary angles, adding to 180 degrees, geometry done.
We'll assume the units on the 2 and 8 are degrees.
(x + 8) + (3x + 2) = 180
4x + 10 = 180
4x = 170
x = 170/4 = 85/2 = 42.5 degrees
The first angle is x+8 = 50.5 degrees
The second angle is 3x+2=129.5 degrees
Answer
2.(2,1)
3. (2,2)
Step-by-step explanation:
Given,
2.2x+y=4
x+3y=_3
sol
2x+y=4..... equation i
x+3y=_3 ....eq ii
eq ii of 2 multiple the eq i
2x+y=4
2x+6y=_6
_ _ +
__________
o+ 5y = 10
y =10÷5
y = 2 ans
y valu put the eq 1
2x+y=4
2x+2=4
2x=4_2
2x=2
x=2÷2
x=1
3.
sol
3x+5y=4..... eq 1
x+3y=4 ..... eq 2
eq 2 multiple eq 1. 3
3x+5y=4
3x+9y=12
_ _ _
___________
0x+4y=8
4y=8
y=8÷4
y=2 ans
the y value put the eq 1
3x+5y=4
3x+5×2=4
3x+10=4
3x=10_4
3x=6
x=6÷3
×=2 ans