Answer:
The equation for the parallel line is: y = -4x - 20
The equation for the perpendicular line is: y = 1/4x + 11/2
Step-by-step explanation:
The given point is: (-6, 4)
The given equation is:
y = -4x + 8, note the slope m = -4.
A parallel line has the same slope. Use the point slope and substitute:
y - y1 = m(x - x1)
y - 4 = -4(x - (-6))
y - 4 = -4(x + 6)
y - 4 = -4x - 24
y = -4x - 20
Proof - find f(x) when x = -6:
f(x) = -4x - 20
f(-6) = -4(-6) - 20
f(-6) = 24 - 20 = 4, so the point is (-6, 4)
A perpendicular line has a slope that is negative and inverted so m = 1/4.
y - y1 = m(x - x1)
y - 4 = 1/4(x - (-6))
y - 4 = 1/4(x + 6)
y - 4 = 1/4x + 6/4
y - 4 = 1/4x + 3/2
y = 1/4x + 3/2 + 4
y = 1/4x + 3/2 + 8/2
y = 1/4x + 11/2
Proof - find f(x) when x = -6:
f(x) = 1/4x + 11/2
f(-6) = 1/4(-6) + 11/2
= -6/4 + 11/2
= -3/2 + 11/2
= 8/2 = 4, giving the point (-6, 4)
Answer:each piece has 1/5 of 3 meters of fabric.
Step-by-step explanation:
Answer:
See the steps below.
Step-by-step explanation:
1. Distributive Property
2. Multiply
3. Addition and Subtraction property of equation.
4. Add and Subtract
Best Regards!
Answer:
x=3
y=6
Step-by-step explanation:
y= x+3
5x-9 = x+3
4x= 12
x= 3
Y =6
Answer:
B. Pie chart.
Step-by-step explanation:
In this question, the students are asked what political party they belong. The best display format would be one in which the graph can be divided into parts, or percents, according to the percentage of students belonging to each political party. The graph that best describes this, distributing a group into parts, is a pie chart, and thus, the correct answer is given by option b.
Scatterplot is used when two variables correlate together, that is, there is a relationship between them, which we don't have between the number, or proportion of students belonging to each political party. Stemplot are used when there is a high number of quantitative data, which we do not have here.
