∠MHJ and ∠LHK are vertical angles, so:
and
Answer B)
Answer:
I would change 2x+4y=24 into x=12–2y
To do that, divide both sides by 2 and then subtract 2y on each side.
After that, substitute for x. 3x+2y=19 would become 3(12–2y)+2y=19.
Then solve.
3(12–2y)+2y=19
36–6y+2y=19
-4y+36=19
-4y=-17
y=4.25
Then, substitute y in either equation.
Either this:
3x+2y=19
3x+2(4.25)=19
3x+8.5=19
3x=10.5
x=3.5
Or:
2x+4y=24
2x+4(4.25)=24
2x+17=24
2x=7
x=3.5
Or you could solve it in the equation you created in the beginning:
x=12–2y
x=12–2(4.25)
x=12–8.5
x=3.5
The coordinates where the lines intercept are (3.5, 4.25).
Sorry for the long answer!
Answer:
1/4 in 3/7th of an hour
1/4 = 3/7
multiply by 4
1 (whole room) = 12/7 (of an hour)
Answer:
<u>Point-slope form: y-9 = -3(x - 6)</u>
<u>Standard form: y = -3x+27</u>
Step-by-step explanation:
The point-slope form equation is y - y1 = m(x - x1). Because we are trying to find the equation that passes through (6,9), use these values as x1 and y1. In this equation m is the slope and we are also given that the slope is -3. This means that the equation in point-slope form is y-9 = -3(x - 6).
If it is asked for the equation in standard form, some simple moving of terms can accomplish that. Multiply out the -3 and get y-9 = -3x + 18. Add 9 to both sides to get a final answer of y = -3x+27.
Answer: D
Step-by-step explanation:
Ten thousandths is the fourth place