Answer:
70%
Step-by-step explanation:
21/30 p/100
30/30=2,100/30=70
Answer:
Step-by-step explanation:
Slope intercept form: y = mx + b
Find slope:
m = (y₂ - y₁) / (x₂ - x₁)
= (-5 - (-4)) / (0 - 4)
= -1 / -4
= 1/4
Find y intercept using anyone of the given points and slope from above:
y = mx + b
b = -5
Now use the above slope and y intercept to create equation of a line:
15y = 7x + 8
15y - 7x - 8 = 0
i am a mathematics teacher. if anything to ask please pm me
Answer:
x = -4
m<LMP = 77°
m<NMP = 103°
Step-by-step explanation:
Straight angles by definition have a total measure of 180°.
This means that m<LMP and m<NMP are 180° together.
Therefore m<LMP + m<NMP = 180°.
[substitution property]
(-16x + 13)° + (-20x + 23)° = 180°
[associative property of addition]
(-36x + 36)° = 180°
-36x + 36 = 180
–36 –36
-36x = 144
÷-36 ÷-36
x = -4
_________________
Since m<LMP = (-16x + 13)°.
Using substitution with x = -4:
m<LMP = (-16(-4) + 13)° = (64 + 13)° = 77°.
Since m<NMP = (-20x + 23)°.
Using substitution with x = -4:
m<NMP = (-20(-4) + 23)° = (80 + 23)° = 103°.
This is true because 77° + 103° = 180°.
Answer: OPTION C.
Step-by-step explanation:
The systems of linear equations can have:
1. <u>No solution:</u> When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.
2. <u>One solution</u>: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system
3. I<u>nfinitely many solutions</u>: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.
Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts <em><u>never</u></em> have more than one solution.
