Answer:
Step-by-step explanation:
A line perpendicular to the given line has a slope that is the negative inverse of the reference line.
Rewrite the given equation in the format of y=mx+b, where mi is the slope and b is the y-intercept (the value of y when x = 0.
2x + 3y = 4
3y=-2x+4
y = -(2/3)X + (4/3)
The reference slope is -(2/3). The negative inverse is (3/2), which will be the slope of a perpendicular line. We can write the new line as:
y = (3/2)x + b
Any value of b will still result in a line that is perpendicular. But we want a value of b that will shift the line so that it intersects the point (-3,-5). Simply enter this point in the above equation and solve for b.
y = (3/2)x + b
-5 = (3/2)(-3) + b
-5 = -(9/2) + b
-5 = -4.5 + b
b = - 0.5
The equation of the line that is perpendicular to 2x + 3y = 4 and includes point (-3,-5) is
y = (3/2)x - 0.5
Answer:
Student that play,
baseball: 18
Both= 30
basketball= 17
Step-by-step explanation:
Every time you are -3, the next terms would be -7, -10, -13
Step-by-step explanation:
17². + 144²=x²
289 + 20736=x²
x²=21025
x =√21025
x=145
145 miles apart
Answer:
The answer is 8
- 3
+ 2 -
=<u> 4 </u>
+ <u>2 </u> .
Step-by-step explanation:
Given:
8x - 3x + 2 -x = __ x + __
Now, to write a number in each blank to complete each equation so that it has the requested number of solutions.
So, to solve the equation:

So, we add the variables:

And, then subtract it:

Thus, it remains:
.
So the complete equation is:
8
- 3
+ 2 -
=<u> 4 </u>
+ <u>2 </u>
Therefore, the answer is 8
- 3
+ 2 -
=<u> 4 </u>
+ <u>2 </u> .
<u />