Answer:
The coordinates of point k are (-2.8,-3)
Step-by-step explanation:
we shall use the internal division formula to find the coordinates of point k
Mathematically, the formula is as follows;
Let’s call the coordinates of point k (x,y)
(x , y) = mx2 + nx1/(m + n) , my2 + ny1/(m + n)
From the question;
m = 1 , n = 4
x1 = 4, x2= -2
y1 = -7 , y2 = 13
Substituting these values in the equation, we have the following;
1(-2) + 4(4)/(1 + 4) , 1(13) + 4(-7)/(1+4)
(-2+16)/5, (13 -28)/5
= -14/5, -15/5
= (-2.8, -3)
Answer:
Step-by-step explanation:
b is an inscribed angle. The rule for this is that the measure of an inscribed angle is half the measure of the arc it intercepts. The arc it intercepts is 56 degrees, so the measure of angle b is half of that at 28
Answer:
the price of each soda is $1.75
Step-by-step explanation:
Notice that there are two unknowns; the price of each soda (let's assign the letter "s" to it), and the price of the basket of fries 9let's assign the letter "b" to it)
We can then write two equations using the information on the total price for each order:
(a) 4 s + 4 b = 16
(b) 4 s + 3 b = 13.75
we can now subtract term by term equation (b) from equation (a), and obtain:
4 s - 4 s + 4 b - 3 b = 16 - 13.75
0 + b = 2.25
So now that we know the price of each basket of fries ($ 2.25) , we can use that info in either equation and solve for "s". Let's use equation (a) for example:
4 s + 4 (2.25) = 16
4 s + 9 = 16
4 s = 16 - 9
4 s = 7
s = 7/4
s = 1.75
So, the price of each soda is $1.75
Answer:
(-10)²= -10 × -10 = 100
Step-by-step explanation:
When any number is squared whether it is positive or negative, the result will always be positive:
Anything squared means the number multiplied by itself:
So:
(-10)²= -10 × -10 = 100
Answer:
2.5 boxes per minute
Step-by-step explanation:
First divide 10 by 4 to get the unit rate 2.5/1.
Second add labels, and figure out conclusion.
2.5 boxes/ 1 minute
Carla packs 2.5 boxes per minute.
