Answer:
x=3
Step-by-step explanation:
The equation here is x=3. If it were y=3, then it would be a horizontal line.
Answer:
The diameter of the ride is 44 feets.
Step-by-step explanation:
We have,
The circumference of the frame is about 138 ft.
It is required to find the diameter of the ride.
The circumference of means that the outer covering of the circle. It is given by the formula as follows:
r is radius
Since, 2r = d, diameter of circle
or
d = 44 feets
So, the diameter of the ride is 44 feets.
Answer:
260 feet of fence
Step-by-step explanation:
The area of a triangle is found using the formula A=.5(base)(height). You can plug in your known values to solve for the base of the triangle. (It should look something like 600=.5(40)(x), where you can combine to get 600=20x, divide by 20, and get that x =30.). Next, to find the diagonal length of the triangle, you use the Pythagorean theorem, which is 
. You plug in 40 for a, and 30 for b, and solve to get that c is 50. You now have all of your missing side lengths. You add them all together (40+70+70+30+50) to get 260.
He spend $22 on a backpack and $3 on a binder. Hope that helps
Answer:
x= -2 and (x+3)=0, x= -3
Step-by-step explanation:
"The sum of a number" well we do not know what the number is right, so let's call the number x. So we know we have x and we are adding it to something because it says sum. What are we adding it to? "5 times its reciprocal". A reciprocal of a number is equal to 1/the number. So the reciprocal of x is just 1/x. But we want 5 times this so multiply by 5. So now we have x + 5(1/x). Now we need to set it equal to something to be able to solve it. The problem says the sum of a number and 5 times its reciprocal is -6, so x + 5(1/x) = -6. Now just use order of operations to solve for x. First multiply: x + 5/x =-6. Then the next stperfect is harder because we want to get x by itself but we have x + 5/x. A trick you can do here is multiply the whole equation by x. This cancels out the fraction for us: x(x + 5/x) = -6(x) becomes x^2 +5 = -6x. Now we have a quadratic equation, to solve this you have to Factor or use the quadratic formula. I'll try factoring: first we need all of the terms on one side: x^2 +5x +6 =0. Now we need factors of 6 that add or subtract to 5. There are a couple of options here we could use 6 and -1 or 2 and 3. 6 and -1 would not work because both signs in the equation are plus which means we need our factors to both be positive, also if you tried 6 and -1 and then foiled out the factors to check it, it would not work. So 2 and 3 have to be the factors so the equations equals (x+2)(x+3)=0. Now we set each factor equal to zero and solve for x: (x+2)=0, x= -2 and (x+3)=0, x= -3. Those are the two numbers that would work! Hope this helps!!
