Answer:
Point of x-intercept: (2,0).
Point of y-intercept: (0,6).
Step-by-step explanation:
1. Finding the x-intercept.
This point is where the graph of the function touches the x axis. It can be found by substituting the "y" for 0. This is how you do it:
Hence, the point of x-intercept: (2,0).
2. Finding the y-intercept.
This point is where the graph of the function touches the y axis. It can be found by substituting the "x" for 0. This is how you do it:
Hence, the point of y-intercept: (0,6).
The total front footage of all three lots is 370.
Answer:
1. 6n - 15
2. x + 10
3. -4d + 15
4. true, associative property
5. distributive, commutative
Step-by-step explanation:
1. distribute 3/4 into the parentheses, so multiply 3/4 * 8 and 3/4 * -20
2. distribute the 2 into the parentheses so multiply 2 * 3x and 2 * 5, then combine like terms
3. distribute -3 into the parentheses so -3 * 4D and -3 * -5 then add like terms
4. add like terms on both sides of the equal sign and you get 10x on both sides. this is the associative property because it doesn't matter what's inside or outside the parentheses you get the same answer no matter how you add them up
5. the first part is distributive because you distributed the three into the parentheses and the second part is commutative because you switch them around and you can get the same answer
Answer: The perimeter of the largest triangle = 117 units.
Step-by-step explanation:
Sides of smaller triangle = 10,20 and 15 units
Longest side = 20 units
Longest side of larger triangle = 52 units
Sides of two similar triangles are proportional.
Let k be proportionality constant.
Length of other two sides,
So sides of larger triangle = 52 units, 26 units , 39 units
Perimeter of largest triangle = 52 +26+39 = 117 units
Hence, the perimeter of the largest triangle = 117 units.
