For this equation, substitute y for 1/2x-5, since y=1/2x-5.
4x+2(1/2x-5)= 0
4x+x-10=0
Combine like terms.
5x-10= 0
Add 10 to both sides.
5x=10
Divide by 5.
x=2
Now, plug in x for y.
y=1/2(2)-5
y= 1-5
y=-4
(2,-4) <=== solution
We can check this by plugging it in.
4x+2y= 0
4(2)+2(-4)=0
8+2(-4)=0
8-8=0
0=0
This works.
I hope this helps!
~kaikers
Answer:
The length of the radius of the sphere is 11.0 units
Step-by-step explanation:
we know that
To calculate the radius of the sphere, we can use the distance formula
where
d is the length of the radius
(x_1,y_1,z_1) is the center of the sphere
and
(x_2,y_2,z_2) is one point on the surface of the sphere
we have
substitute in the formula
therefore
The length of the radius of the sphere is 11.0 units
Answer:
#7
1 box per 30 pounds
#8
1 notebook per 1.89 dollars
Step-by-step explanation:
The vertex of the parabola is (-3, 9)
In order to find the vertex of any quadratic, you start by finding the x-value of said vertex. This can be done using the equation below.
-b/2a
In this equation 'a' refers to the coefficient of x^2 (-1) and 'b' refers to the coefficient of x (-6). So then we can plug into that equation using those values.
-b/2a
-(-6)/2(-1)
6/-2
-3
Now that we have the x value, we can substitute that value into the equation to find the y value.
f(x) = -x^2 - 6x
f(x) = -(-3)^2 - 6(-3)
f(x) = -(9) + 18
f(x) = 9
Therefore our point is (-3, 9)
Answer:
9x5=45 D is ur answer
Step-by-step explanation:
brainliest???