Answer:
≈11.4
Step-by-step explanation:
We know that, Ryan lives 2 blocks west and 5 blocks south of Devin
=> Coordinate of Ryan: (-2,-5). Because:
- 2 blocks west = 2 unit to the left = -2
- 5 blocks south = 5 unit go down= -5
Andy lives 7 blocks east and 2 block north of Devin.
=>Coordinate of Andy: (7,2), because:
- 7 blocks east = 7 unit ti the right = 7
- 2 block north = 2 unit go up = 2
Hence, to find out the distance of Ryan and Andy, we use distance formula as below:
≈11.4
Hey there!!
Let's take the number as x and y
Given,
The sum of x and y = 12
One number is 2 more than the other
Let's take y = x + 2
Equations
x + y = 12
As we know y = x + 2 , plug the value in
x + x + 2 = 12
2x + 2 = 12
Subtract 2 on both sides
2x = 10
Divide by 5 on both sides
x = 5
y = 2 + x
y = 7
The numbers are 5 and 7
Hope my answer helps!
Answer:
Step-by-step explanation:
Okay, so I think I know what the equations are, but I might have misinterpreted them because of the syntax- I think when you ask a question you can use the symbols tool to input it in a more clear way, otherwise you can use parentheses and such.
Problem 1:
(x²)/4 +y²= 1
y= x+1
*substitute for y*
Now we have a one-variable equation we can solve-
x²/4 + (x+1)² = 1
x²/4 + (x+1)(x+1)= 1
x²/4 + x²+2x+1= 1
*subtract 1 from both sides to set equal to 0*
x²/4 +x^2+2x=0
x²/4 can also be 1/4 * x²
1/4 * x² +1*x² +2x = 0
*combine like terms*
5/4 * x^2+2x+ 0 =0
now, you can use the quadratic equation to solve for x
a= 5/4
b= 2
c=0
the syntax on this will be rough, but I'll do my best...
x= (-b ± √(b²-4ac))/(2a)
x= (-2 ±√(2²-4*(5/4)*(0))/(2*(5/4))
x= (-2 ±√(4-0))/(2.5)
x= (-2±2)/2.5
x will have 2 answers because of ±
x= 0 or x= 1.6
now plug that back into one of the equations and solve.
y= 0+1 = 1
y= 1.6+1= 2.6
Hopefully this explanation was enough to help you solve problem 2.
Problem 2:
x² + y² -16y +39= 0
y²- x² -9= 0
Answer:
25 mpg
Step-by-step explanation:
We have a set of values 19, 21, 22, 28 and 18
The average (which is the mean of the set of values ) is :
19 + 21 + 22 + 28 + 18 = 21.6 mpg out of the government requirement
So we need a value such as the mean become at least 25 mpg
We have to solve the equation:
(19+21+22+28+ x)/ 5 = 25
(90 + x ) /5 = 25 ⇒ 90 + x = 125 ⇒ x = 35 mpg
If we get the mean of the set of values including 35 we have:
(19 +21+ 22+ 28 + 35 ) / 5 = 25 mpg government requirement
Answer:
47/5
Step-by-step explanation:
First step: multiply the denominator (bottom of the fraction) of the fraction by the whole number.
5*9 = 45
Second Step: add the numerator
45 + 2 = 47
Third step: Put the result over the denominator.
47/5
