Answer:
The solution to a system of linear equations is the point at which the lines representing the linear equations intersect. Two lines in the x y xy xy -plane can intersect once, never intersect, or completely overlap.
Step-by-step explanation:
Answer:
3.471 + 7.2516 x
Step-by-step explanation:
Given the data:
(1,3) (2,0) (5,-8) (9, -25) .
X:
1
2
5
9
Y:
3
0
-8
-25
The line of best fit for the data given can be obtained using an online regression calculator :
The equation of best fit for the data is thus;
Best fit equation; y = -3.471 + 7.2516x
Intercept = - 3.471 ;
Slope = 7.2516
The measure of the intercepted arc is twice the measure of the tangent-chord angle:
2×74° = 148°
The measure of the intercepted arc is 148°.
Volume = width × height × length.
First let's concentrate on the rectangular prism. This has 4 for its height and 5 for its width so you do 4 × 5 (=20) × 10 (because the length of the rectangular prism is the same as the triangular prism, so we will use the length of the triangular one) = 200m³ for the rectangular one.
To work out the triangular one, it's the same, but whatever answer you get you divide it by 2 because a triangle is just a rectangle cut in half diagonally. Therefore, 3 × 5 (=15) × 10 = 150. Then divided by 2 = 75m³.
Total volume = volume of rectangular prism + triangular prism
Therefore total volume = 200 + 75 = 275m³.
