So let's say
x=number of five dollare bills
y=number of 1 dolar bills
20 bills total
x+y=20
totla is 72 monies
72=5 times x+1 times y=5x+1y=5x+y
solve
x+y=20
5x+y=72
from here you could do 2 things: go to option 1 (longer) or option 2 (shorter)
1.
x+y=20
subtract x from both sides
y=20-x
5x+y=72
subtract 5x from boths ides
y=72-5x
subsitute
y=20-x=y=72-5x
20-x=72-5x
add 5x to both sides
20+4x=72
subtract 20 from both sides
4x=52
divide both sides by 4
x=13
subsitute
x+y=20
13+y=20
subtract 13
y=7
2.
another way is when you got 5x+y=72 and x+y=20
you negative the second equaiton and add to th efirst
I know it sounds like voodo at first but it works
-(x+y=20)=-x-y=-20
add
5x+y=72
<u>-x-y=-20 +</u>
4x+0y=52
4x=52
divide both sides by 4
x=13
subsitute
x+y=20
13+y=20
subtract 13
y=7
Answer:
y=-3x+15
Step-by-step explanation:
To find the equation of the line, you need to find the slope and y intercept. The slope is pretty easy, as the line goes down by 3 after going up by 1. This means that the slope is -3/1=-3. The y intercept is also pretty easy, as you know that the line will increase by 3 every time you go back 1 to the left. 3*4=12, meaning that going back 4 will take you up 12. 3+12=15, meaning that the equation of the line is y=-3x+15. Hope this helps!
we know that
Triangle MOL is an isosceles triangle
because
Find the base MP
Applying the Pythagorean Theorem in the right triangle MPO
Find the area of triangle MOL
therefore
the answer is
the area of triangle MOL is
square units
Answer:
The area of rectangle is 
Step-by-step explanation:
Let
A(2,7)
step 1
The point A is reflected across the x-axis
we know that
The rule of the reflection of a point across the x-axis is
(x,y) -----> (x,-y)
so
A(2,7) ----->B(2,-7)
step 2
The point B is reflected across the y-axis
we know that
The rule of the reflection of a point across the y-axis is
(x,y) -----> (-x,y)
B(2,-7) ----> C(-2,-7)
step 3
The point C is reflected across the x-axis
we know that
The rule of the reflection of a point across the x-axis is
(x,y) -----> (x,-y)
so
C(-2,-7) ----->D(-2,7)
step 4
Find the area of rectangle formed by
A(2,7),B(2,-7),C(-2,-7),D(-2,7)
using a graphing tool
see the attached figure
The area of rectangle is
Answer:
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