Answer:
The equation of the line would be y = -3/2x + 9
Step-by-step explanation:
In order to solve this, start by finding the slope of the original line. You can do this by solving for y.
2x - 3y = 12
-3y = -2x + 12
y = 2/3x - 4
Now that we have a slope of 2/3, we know that the perpendicular slope is -3/2 (since perpendicular lines have opposite and reciprocal slopes). We can use this and the new point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 6 = -3/2(x - 2)
y - 6 = -3/2x + 3
y = -3/2x + 9
Problem 1
<h3>Answer:
104 cubic inches</h3>
----------------------
Explanation:
The prisms are similar so they have the same shape, but different sizes.
The linear scale factor from small to large is:
large/small = 10/4 = 2.5
Meaning that we multiply each dimension of the smaller prism by 2.5 to get the corresponding side length of the larger prism
4*2.5 = 10
This linear scale factor is then cubed to get the volume scale factor
(2.5)^3 = 15.625
Which tells us:
larger volume = 15.625*(smaller volume)
smaller volume = (larger volume)/15.625
smaller volume = (1625)/15.625
smaller volume = 104 cubic inches
========================================================
Problem 2
<h3>Answer: 650 square inches</h3>
----------------------
Explanation:
We will go back to the linear scale factor of 2.5
This time, we square it to get (2.5)^2 = 6.25
This is the surface area scale factor.
larger surface area = 6.25*(smaller surface area)
larger surface area = 6.25*(104)
larger surface area = 650 square inches
You just subtract 4 from 20
20-4 which is 16
1. $2.78
2. If it’s 20% off you save 13.90 so 69.50- 13.90 is $55.60
Answer:
25%
Step-by-step explanation:
We are given that
Initial height of sunflower=160 cm
After increasing
Final height of sunflower=2m
We have to find the percentage increase in height.
1 m=100 cm
Increase in height of sunflower=Final height of sunflower-initial height of sunflower
Increase in height of sunflower=200-160=40cm
Percentage increase=
Using the formula
Percentage increase in height=
Percentage increase in height=25%
