Slope intercept form is y=mx+b where m is slow and b is y intercept. since we dont have this info we will have to do some work to solve.
1. find slope. this is change in y du used by change in. so we take the two points given and subtract the y values and divide by difference of x values
m=(8-2)/(-3--1)=6/-2=-3
2
use point slope formula and simplify. this is y-y1=m(x-x1) where (x1,y1) is a point on the l in ne. you can pick either point it doesn't matter. we will use (-1,2)
y-2=-3(x+1)
simplify to slope intercept by solving for y
y-2=-3x-3
y=-3x-1
so we have slope -3 and y intercept -1
Answer:
<u>The triangular prism shown has 2 triangular faces and 3 lateral faces.</u>
- The triangles are on the ends, and there are three rectangular faces, which are the "lateral" faces because they're not bases.
<u>The area of one triangular face is 7.5 square millimeters.</u>
- Area of triangle = 1/2 b*h = 1/2* 6*2.5 = 1/2*15 = <u>7.5 square millimeters</u>
<u>The surface area of the triangular prism is 135 square millimeters.</u>
- Lateral face area = the sum of the three lateral faces. = 8*6.5 + 8*2.5 + 6*8 = 120 square millimeters
- Surface area = 2(triangle area) + sum of lateral faces = 2(7.5) + 120 = <u>135 square millimeters</u>
Part A. The correlation coefficient, denotes as R^2, is a measure of how well does the data point correlate with a given model or equation. The closer the R^2 is to 1, the better is the correlation. However, R2=1 is ideal for scatter plots. Using the MS Excel to execute the regression, the data points was fitted to a quadratic equation. The R2=0.9983. From the choices, the closest answer would be 1. But as stated previously, a value of 1 is ideal only. Therefore, the answer is most likely 0.94,
Part B. To determine the slope, the equation would be Δy/Δx. For x=5 and x=10, the slope would be
Slope = (3-1)/(10-5) = 2/5 or 0.4. This is the instantaneous rate of change at the interval of 5 to 10 days.
Part C. The difference between causation and correlation is identifiable if you know the direct relationship between the variables. In this case, the increase in radius is not caused by time. The problem does not state so. But we know from the trend shown on a graph, that there is a correlation between these variables. Therefore, the answer is correlation.
Answer:
D. 104
Step-by-step explanation:
We know that xy and yz are supplementary to each other
That means they add up to 180
We can set up an equation with this information
(4x+32)+(2x+40)=180
6x+72=180
6x=108
x=18
Now that we know what x is, we can plug it into 4x+32 to find degree of xy
4(18)+32
72+32
D. 104