Answer:
The slope of the line must be 3
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
step 1
we know that
The volume of a rectangular prism is equal to
----> equation A
where
B is the area of the base of the prism
h is the height of the rectangular prism
step 2
The volume of a square pyramid is equal to
-----> equation B
where
B is the area of the square base of pyramid
h is the height of the pyramid
step 3
substitute equation A in equation B
Find the relationship between the volume of a rectangular prism and the volume of a square pyramid
therefore
The slope of the line must be 3
let's check it
To solve for the slope of the line, you must choose two coordinates first and use the formula
Choosing the points (2,6) and (3,9)
substitute
----> is correct
Answer: The answer is 100,
Step-by-step explanation:
You would get 10$ for the first week, 20 for the second week, 30 for the third week, and 40 for the fourth week. If you add that up all together you get 100$
Answer:
The reason why this equation can not be written in the slope-intercept form because the slope of this line is undefined.
Step-by-step explanation:
We know the slope-intercept form of line equation is
y = mx+b
where m is the slope and b is the y-intercept
Given the points
Finding the slope between (-8,-5) and (-8,-9)
(x₁, y₁) = (-8,-5)
(x₂, y₂) = (-8,-9)
slope = m = (y₂-y₁) / (x₂-x₁)
= -9 - (-5) / -8 - (-8)
= -9+5 / -8+8
= -4 / 0
= ∞
Thus, the slope = m = ∞
- The reason why this equation can not be written in the slope-intercept form because the slope of this line is undefined.
In other words, whatever the value of y is, the x-value always remains constant.
In other words, the line will be vertical and the slope of a vertical line will be undefined.
Thus, the equation of this line is:
x = -8
The line graph is also attached.
Therefore, the reason why this equation can not be written in the slope-intercept form because the slope of this line is undefined.
Answer:
The figures are not similar
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
so
Verify
BC/JI=AB/FJ=ED/GH
substitute the given values
5.1/3.6=2.8/2.1=3.7/2.7
1.417=1.333=1.370 ------> is not true
therefore
The figures are not similar
