Hey there! I'm happy to help!
You ran a 10 kilometer race in 56 minutes (good job!). To find how much you ran in 1 minute, you simply divide by 56.
10/56=0.178571428
Therefore, you ran around 0.18 km/minute.
Have a wonderful day! :D
The two intersection points are (-2.79, -0.58) and (0.79, 6.58).
<h3>
How to find the points of intersection?</h3>
Here we want to solve the system of equations:
y = 2x + 5
x² + y² = 36
To solve this, we need to replace the first equation into the second one:
x² + (2x + 5)² = 36
Now we can solve this for x:
x² + 4x² + 10x + 25 = 36
5x² + 10x - 11 = 0
This is a quadratic equation, to solve it we use the general formula:
So we have two solutions for x:
x = (-10 - 17.9)/10 = -2.79
x = (-10 + 17.9)/10 = 0.79
To get the y-values of the solutions, we evaluate the linear equation in these values of x:
y = 2*(-2.79) + 5 = -0.58
y = 2*( 0.79) + 5 = 6.58
Then the two intersection points are (-2.79, -0.58) and (0.79, 6.58).
If you want to learn more about intersection points:
brainly.com/question/17206319
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3(-4y)=6-4y
-12y=6-4y
-8y=6
y=-3/4
So the two expressions are equivalent, if and only if y = -3/4.
<span>Here the given equation is :
2-8x= -6
By bring -6 on the Left Hand size and taking 8x on the Right Hand side, the equation become.
2+6= 8X
8= 8X
X=8/8
X=1
Hence value of X is 1.
Hence correct option is A.</span>