we can always find the x-intercept by simply settting y = 0, and solving for "x".
and we can always find the y-intercept by simply setting x = 0 and solving for "y".
![\bf x-4y=-16\implies \stackrel{x=0}{0-4y=-16}\implies y=\cfrac{-16}{-4}\implies y=4 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (0,4)~\hfill](https://tex.z-dn.net/?f=%20%5Cbf%20x-4y%3D-16%5Cimplies%20%5Cstackrel%7Bx%3D0%7D%7B0-4y%3D-16%7D%5Cimplies%20y%3D%5Ccfrac%7B-16%7D%7B-4%7D%5Cimplies%20y%3D4%0A%5C%5C%5C%5C%5B-0.35em%5D%0A%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%0A~%5Chfill%20%280%2C4%29~%5Chfill%20)
Answer:
Part 1: Angle = 36°
Part 2: Angle = 72°
Step-by-step explanation:
If we have an angle "x", then
Its complement is 90 - x, and
supplement is 180 - x
Let's write equations and solve.
<u>Part 1:</u>
Complement = 1.5 times angle
90 - x = 1.5x
90 = 1.5x + x
90 = 2.5 x
x = 90/2.5 = 36
<u>Part 2:</u>
Now using 2nd equation:
3 * angle = 2 * Supplement
3x = 2 (180 - x)
3x = 360 - 2x
3x + 2x = 360
5x = 360
x = 360/5 = 72
Let the time = x
Distance = Speed x time
One train is 75x, the other train 85x
Add together to equal total distance:
75x + 85x = 384
Simplify:
160x = 384
Divide both sides by 160:
x = 384 / 160
x = 2.4 hours
Answer:
=78.5cm
Step-by-step explanation:
pi=3.14
formula=3.14×r×r
3.14×5×5
78.5
Answer:
- FALSE
- TRUE
- TRUE
Step-by-step explanation:
<u>1.</u>
- Non-standard units can be used to measure volume
- Examples : m³, in³, cm³, mm³, L
<u>2.</u>
- The volume of a rectangular prism can be found by multiplying the length, width, and height
- <u>V = lwh</u>
<u />
<u>3.</u>
- If there are smaller units, then naturally more of the units will be used
- If there are larger units, then less of the units will be used
