Answer:
(45,35)
Step-by-step explanation:
1 - Stack the equations on top of each other
3x - 4y = -5
4x + 4y = 40
2 - We can eliminate by subtracting the bottom equation from the top equation
3x - 4y = -5
- 4x - 4y = 40
3 - The y's cancel out, leaving us with...
3x = -5
- 4x = 40
4 - Continue simplifying
-1x = -45
5 - We can switch the -1x with -x to make things simple
-x = -45
6 - Positize (make it positive) the statement
x = 45
7 - Halfway there! Substitute the x value into one of the equations
(3 * 45) - 4y = -5
8 - Solve
135 - 4y = -5
Minus 135 on both sides
-4y = -140
Divide by -4 on both sides
y = 35
9 - Here is your answer!!
x = 45
y = 35
(45,35)
Answer:
Step-by-step explanation:
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Answer:
#7: Vertex is (2,-6)
y-intercept is (0,6)
#8: Vertex is (-2,-29)
y-intercept is (0,-9)
#9: Vertex is (-1,1)
y-intercept is (0,-5)
#10: Vertex is (2,20)
y-intercept is (0,-8)
Step-by-step explanation:
Graphs are in the picture below
Answer:
12 square units
Step-by-step explanation:
A = 1/2·h(sum of bases)
A = 1/2(4)(2+4)
A = 2(6) which is 12 square units
Answer:
The baker ended up with 22 extra donuts.
Step-by-step explanation:
Since the baker had 24 boxes and made 526 donuts, to split them evenly between the total number of boxes means that we need to divide the number of total donuts by the number of boxes:
526 ÷ 24 = 21 remainder of 22
Since 24 x 21 = 504 and 24 x 22 = 528 and the baker only made 526 donuts, then the most amount of donuts he can use to split them evenly with the total amount of 526 is 504. 526 - 504 = 22, so he has an extra 22 donuts that will not be in boxes.
