Answer:
D
Step-by-step explanation:
First, find the coordinates of pointD if A(2,-6), B(10,2) and point D divides line segment AB in the ratio of 5:3.
If point D divides the segment AB in the ratio m:n, then

So

Point C has the x-coordinate the same as point A and the y-coordinate the same as point D.
Thus, C(2,-1)
Answer:

Step-by-step explanation:
9 pencils cost $7.74
6 pencils cost x
The ratios are

According to the alternendo property,

Answer:
Yes they will intersect
Function 1= F(X)=2X+5
Function 2=H(X)=3X+2
INTERSECT=(3,11)
Step-by-step explanation:
First of all, we create 2 LINEAR function, i created the function f(x)=2x+5 and the function h(x)=3x+2, both are linear(without a quadratic term). Then
you replace the x for a number:
Table 1 (F(X)=2X+5) Table 2 (H(X)=3X+2)
X=1----->Y=2+5=7 X=1------>Y=3·1+2=5
X=2---->Y=2·2+5=9 X=2----->Y=3·2+2=8
X=3---->Y=3·3+5=11 X=3----->Y=3·3+2=11
With both tables of data we can see that in the X=3/Y=11 point this two linear functions will intersect so the answer is that the two functions will intersect at (3,11)----->(X,Y)
Answer:
22.5
Step-by-step explanation:
Using PEMDAS, we know that for expressions such as this, we're supposed to multiply before we add. This means that it should look something like this: (3.3 x 2.5) + (5.7 x 2.5). When you solve the multiplication first, you get 8.25 + 14.25. Solve, and you get 22.5. This problem can be solved using any basic calculator, or scratch paper!
Given;
40 fluid ounces of iced tea.
We know,
1 cup = 8 fluid ounce
1 pint = 2 cup
Now,
8 fluid ounce = 1 cup
1 fluid ounce = 1 / 8 cup
40 fluid ounce = (1 / 8) * 40 cup
So, 40 fluid ounce = 5 cup
Now,
We, used 3 cups of iced tea. So, we only have 2 cups of iced tea left.
We have,
2 cups = 1 pint
So, 1 pint of iced tea is left!