Y = 4x - 3
y = -x - 13
Since both equations equal y, we will just substitute both equations to equal each other.
4x - 3 = -x - 13
+x on both sides
5x - 3 = -13
+3 on both sides
5x = -10
/5 on both sides
x = -2
Substitute x = -2 into one of the equations.
y = -x - 13
y = -(-2) - 13
y = 2 - 13
y = -11
To check answer, plug in both x and y values into one of the equations.
y = -x -13
-11 = -(-2) - 13
-11 = 2 - 13
-11 = -11
Answer:
x = -2
y = -11
Comment
The only way I can envision this is put all 4 points on 1 line segment. They go in the order of ADCB. I can only draw it this one way.
Given
D is the midpoint of AC
C is the midpoint of DB
AC = 3 cm
Argument
AC = 3 cm Given
AD = DC D is the midpoint of AC
AD = 3/2 Definition of a midpoint.
DC = 3/2 Definition of a midpoint
DC = 3/2 Last statement
DC + CB = 1.5 + 1.5. C is the midpoint of BD
DB = 3 Consolidation of equals
AD + DB = AB
1.5 + 3 = 4.5 Substitution.
The numbers are 9 and 10.
Let x be the first number. Since they are consecutive, this means (x+1) represents the second number.
The square of x is x². The square of (x+1) is
(x+1)²=(x+1)(x+1)=x²+1x+1x+1=x²+2x+1
The difference of these squares would be given by
x²+2x+1 - x²
Setting this equal to 19,
x²+2x+1 - x² = 19
Combining like terms,
2x+1=19
Subtract 1 from each side:
2x+1-1=19-1
2x=18
Divide both sides by 2:
2x/2 = 18/2
x = 9
The first number, x, is 9. This means the second number, x+1, is 9+1=10.
The volume of a sphere is 4/3(pi)r^3
To find the radius we do the diameter divided by 2 - 165/2=82.5
4/3(pi)(82.5)^3
We get 2,350,879 when we multiply it together, so your answer is 2,350,879 ft^3
Answer:
she will be left with 25 dollars
Step-by-step explanation:
2.50 x 8=20
20+3+2=25