To find the equation of the line in slope-intercept form, y = mx + b, we can start by solving for the slope. The slope compares the vertical change (the rise) to the horizontal change (the run) when moving from one fixed point to another along the line.
The slope formula is:
m = (y2 - y1)/(x2 - x1)
We need to select 2 pairs of points from your given table.
Let (x1, y1) = (1, 8)
(x2, y2) = (2, 10)
Plug these values into the formula:
m = (y2 - y1)/(x2 - x1)
m = (10 — 8)/(2 — 1)
m = 2/1 or 2.
Therefore, the slope of the line is 2.
Next, we need to figure out what the y-intercept of the line is. The y-intercept is the point where the line crosses the y-axis. The y-intercept is also the value of y when x = 0.
Looking at your given table, you have an ordered pair, (0, 6) — this is the y-intercept. The y-coordinate (6) is the value of “b” in the slope-intercept form, y = mx + b.
Now that we have our slope (m) = 2, and y-intercept (b) = 6, we can write our equation as follows:
y = 2x + 6
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Answer:
C) 320 m^3
Step-by-step explanation:
volume of a rectangular prism is Length times with times hight
10 x 4 = 40 x 8 = 320
Answer:
cubic meter of clay will be used to create all the pyramids
Step-by-step explanation:
The remaining part of the question is given in the attached file
Solution
The total clay used is equal to the sum of volumes of two triangular and three rectangular pyramids.
For Rectangular Pyramid,
Volume of three rectangular pyramids
Substituting the given values in above equation, we get -
cubic centimeter
For triangular Pyramid,
Volume of two triangular pyramids
cubic centimeter
Total clay used = Volume of 3 rectangular pyramid + volume of 2 triangular pyramid 
Cubic centimeter
Answer:
114°
Step-by-step explanation:
<A=<B (corresponding angles)
6x+12=3x+63
6x-3x=63-12
3x=51
Dividing both sides by 3
x=17
Now
<A=6x+12
=6(17)+12
=102+12
=114°
