Answer:
The coordinates of the point that makes the division in the given ratio is (0,3)
Step-by-step explanation:
Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2
We simply use the internal division formula
That would be;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
m = 1 and n = 2
(x1,y1) = (4,9)
(x2,y2) = (-8,-9)
Substituting these values into the formula, we have;
2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)
= (8-8)/3 , (18-9)/3
= (0,3)
Answer:
0
Step-by-step explanation:
0 times anything is zero
Functions cannot have different values of y for the same value of x. Now let us check each case one at a time.
<u>First Case:</u> For the same value of x=-1, y has two different values of 7 and 1, which is not allowed in a function. Therefore, the first case is not a function.
<u>Second Case:</u> For the same value of x=-1, y has two different values of -5 and 1, which is not allowed in a function. Therefore, the second case is not a function.
<u>Third Case:</u> For the same value of x=3, y has two different values of 2 and 4, which is not allowed in a function. Therefore, third case is not a function.
<u>Fourth Case:</u> In this case no value of x is same. So, this is a function.
Answer:
Step-by-step explanation:
The recipe for baking a berry pie called for 7 ounces of blackberries, 7 ounces of raspberries, and 6 ounces of strawberries.
Since she only found 12-ounce containers of berries, she bought 1 container of each kind of berry.
After she baked the pie,
The number of ounces of blackberries left would be 12 - 7 = 5 ounces.
The number of ounces of raspberries left would be 12 - 7 = 5 ounces.
The number of ounces of strawberries left would be 12 - 6 = 6 ounces.
Total number of ounces of berries that Kate has left would be
5 + 5 + 6 = 16 berries
Answer:
Peter's company uses on:
Monday = 4 gallons
Tuesday = 4 gallons
Wednesday = 4 gallons
Thursday = 8 gallons
Step-by-step explanation:
If they made a total of 20 gallons over the course of these four days, how many gallons did they make each day? Monday
Let the gallons of paint used be Peter's company on Monday, Tuesday, and Wednesday since it is the same amount be represented by x
On Thursday, they made twice as many as any of the previous days.
= 2x
Hence:
x + x + x + 2x = 20 gallons
5x = 20 gallons
x = 20 gallons/5
x = 4 gallons
Note that:
Thursday = 2x
Hence, = 2 × 4 gallons = 8 gallons
Hence, Peter's company uses on:
Monday = 4 gallons
Tuesday = 4 gallons
Wednesday = 4 gallons
Thursday = 8 gallons
