Answer:
The number of candles each girl needs to sell so that the total amount raised is the same for both is
<em>Hailey </em>70 candles
<em>Kacie </em>40 candles
Step-by-step explanation:
Let
x------> the number of candles sold
y----> total amount raised
we know that
<em>Hailey's equation</em>
-----> equation A
Please note that Hailey has already raised $160, so he has sold 40 candles.
<em>Kacie's equation</em>
-----> equation B
Please note that Kacie has already raised $70, so he has sold 10 candles.
equate equation A and equation B solve for x
The number of candles each girl needs to sell so that the total amount raised is the same for both is
<em>Hailey</em>
40+30=70 candles
<em>Kacie</em>
10+30=40 candles
First we have to note which number represents which axis. As a general rule x axis represents first number. It describes if figure is moving left or right.
Second number is y axis and it describes if figure is moving up or down.
Now that we said that we can see that x axis increased by 2 while y axis decreased by 1. Description that matches is:
1 square down and 2 squares right.
Answer:
x =5
Step-by-step explanation:
Using the formula for calculating the distance between two points
D = √(x2-x1)²+(y2-y1)²
Given the points A(2, x) , B(x, 8) and AB = 3√2
On substituting the given values into the formula;
AB = √(x-2)²+(8-x)²
3√2= √(x-2)²+(8-x)²
square both sides
(3√2)²= (x-2)²+(8-x)²
18 = (x-2)²+(8-x)²
expand
18 = x²-4x+4+64-16x+x²
18 = 2x²-20x+68
2x²-20x+68-18 = 0
2x²-20x+50 = 0
x²-10x+25 = 0
Factorize
x²-5x-5x+16 = 0
x(x-5)-5(x-5) = 0
(x-5)(x-5) = 0
x-5 = 0 an x-5 = 0
x = 5
<12 would be A (51 degrees) because 2 and 10 are corresponding angles and there are 180 degrees on a straight line!
Hope this helps :)
Answer:
The numbers 32 and 19. 32-19=13. 32+19=51.
Step-by-step explanation:
