Remark
Perpendicular slopes are found by using the formula m1*m2 = - 1. That is followed by using the given point to determine the y intercept.
Solution
<em><u>Step One</u></em>
Find the slope of the new line
m1 = - 1/3
m2 = ??
m1 * m2 = - 1
(-1/3) * m2 = - 1
You could continue by changing (-1/3) to a decimal.
(-0.3333333333) * m2 = -1 Now divide by the decimal
m2 = - 1/ (-0.3333333333)
m2 = 3 which is what my calculator tells me the answer is.
<u>Step Two</u>
So far what you have is
y = 3x + b
Use the point (-3, -7) to get the y intercept.
-7 = 3(-3) + b
b - 9 = - 7
b = -7 + 9
b = 2
y = 3x + 2 Answer
Graph
The graph shown below is both lines plotted in desmos. The red line is y = 3x + 2 which is perpendicular to the given graph y = (-1/3)x +5 which is in blue.
The green dot is the point (-3 , - 7)
Answer:
C) 22 units
Step-by-step explanation:
2x(9-1)=16
2x(5-2)=6
16+6=22
Answer: 5/18
Step-by-step explanation:
This is about interpretation of quadratic equation graphs.
<u><em>- The parabola that is continuous represents f(x) = (x+3)(x-4)</em></u>
<u><em>- The parabola that is a broken line represents g(x) = 1/3(x+3)(x-4)</em></u>
<u><em>- This is because calculating their y-intercept respectively corresponds with what is on the graph.</em></u>
a) f(x) = (x+3)(x-4)
Let us confirm the x-intercept.
x-intercept here is when y = 0.
Thus, at y = 0; x + 3 = 0 and x - 4 = 0
Thus, at y = 0; x = -3 and y = 4
- Let's now find the y-intercept;
y-intercept occurs when x = 0
Thus; y - intercept = (0 + 3)(0 - 4)
y - intercept = -12
- Looking at the graph given, the only one that has it's y-intercept as -12 is the graph that has a continuous line.
- This means the other graph that has dashed line would represent the other polynomial g(x)=1/3(x + 3)(x - 4)
Read more at; brainly.in/question/18896888
1. The mode is C. 18
2. The median is B. 16
3. The mean is D. 14.25
4. The median is 2.3
5. The mean is 18