Answer:
Step-by-step explanation:
If these 3 points are collinear, then we can find the slope of the linear function using any 2 of those points. Suppose we use (-4, 3) and (0, 1):
As we move from (-4, 3) to (0, 1), x increases by 4 and y decreases by 2. Hence, the slope of this lilne is m = rise/run = -2/4, or m = -1/2.
Using the slope-intercept formula y = mx + b and replacing y with 1, x with 0 and m with -1/2, we get:
1 = (-1/2)(0) + b, or b = 1. Then the desired equation is y = f(x) = (-1/2)x + 1
Answer: The coordinates of point C after the dilation are (-2, 5)
Step-by-step explanation:
I guess that you want to find where the point C ends after the dilation.
Ok, if we have a point (x, y) and we do a dilation with a scale A around the point (a,b), then the dilated point will be:
(a + A*(x - a), b + A*(y - b))
In this case we have:
(a,b) = (2,1) and A = 3.
And the coordinates of point C, before being dilated, are: (1, 2)
Then the new location of the point C will be:
C' = (1 + 3*(1 - 2), 2 + 3*(2 - 1)) = (1 -3, 2 + 3) = (-2, 5)
3x2(4x<span> – 3) + 1(4</span>x<span> – 3) </span>
Answer:
The amount of soup the can will hold is;
50π inches cubed = 157.08 inches cubed
Step-by-step explanation:
The amount of soup the can will hold is equal to the volume of the can.
Volume of the can = base area × height
Given;
Base Area = 5π inches squared
height = 10 inches
Volume of can = 5π × 10 = 50π inches cubed
The amount of soup the can will hold is;
50π inches cubed = 157.08 inches cubed
Answer:
Total of Amala’s liabilities is $5500 .
Step-by-step explanation:
Liabilities is defined as the sums of money which it owes .
As given
Amala listed her assets and liabilities. Credit Card Balance Car (Paid in full) Jewelry Student Loan Savings Account Stocks $850 $2,200 $125 $2,500 $1,200 $1,500 .
As Credit card balance , car (Paid in full) and student loan are Amala liabilities .
Thus
Total amount of Amala’s liabilities = Credit card balance + car + student loan .
Putting all the values in the above
Total amount of Amala’s liabilities = 850 + 2200 + 2500
= $5500
Therefore the total of Amala’s liabilities is $5500 .
