Answer: Part A : slope = 20/1 -8/1 12/4 =3 Part B: The y-intercept is 5
Step-by-step explanation: I just did this with my teacher..Hope this helps! ( The numbers in bold are the answers)
Answer:
x=1,-3
Step-by-step explanation:
Given:
The base of the prism is a right triangle with legs 1 m and 2 m.
The height of the prism is 17 m.
To find:
The volume of the given prism.
Solution:
The area of a triangle is:

So, the area of base of the prism is:


Now, the volume of the prism is:

Where, B is the base area and h is the height of the prism.
Substituting
, we get


The volume of the prism is 17 cubic m. Therefore, the correct option is (d).
Answer:
To find the price of one t-shirt, we can do 40.80 / 8 = $5.10 per shirt. Therefore, the price of 5 shirts is 5.10 * 5 = $25.50.
This is the concept of application of quadratic equations; To get the number of dimes and quarters we proceed as follows;
suppose there are x dimes and y quarters;
x+y=95.......i
but we know;
$0.1=1 dimes
$0.25=1 quarters
thus
0.1x+0.25y=23.45.....ii
solving equation i and ii by substitution we shall have:
from i;
x=95-y
thus substituting the value of x in equation ii we get
0.1(95-y)+0.25y=23.45
9.5-0.1y+0.25y=23.45
collecting like terms we get:
0.15y=13.95
dividing both sides by 0.15 we get;
y=13.95/0.15=93
x=95-93=2
therefore we conclude that there were 2 dimes and 93 quarters