Answer:
x=21
Step-by-step explanation:
hope that helps
Let's solve your equation step-by-step.
5/7x−1/3x=8
Step 1: Simplify both sides of the equation.
5/7x 1/3x=8
5/7x+ −1/3x=8
(5/7x+ −1/3x)=8(Combine Like Terms)
8/21 x=8
8/21x=8
Step 2: Multiply both sides by 21/8.
(21/8)*(8/21x)=(21/8)*(8)
Answer:
x=21
Answer:
390 m (perpendicular to river) x 780 m (parallel to river)
Step-by-step explanation:
Let y be the length of the side parallel to the river, and let x be the length of the sides perpendicular to the river.
The total area and length of fence required are given by:
Rewriting the length of fence as a function of only x:
The value of x for which the derivate of L(x) is zero is the length of x that uses the least amount of fencing:
If x = 390 m, then:
The dimensions that will use the least amount of fencing are 390 m x 780 m
Remember that the general formula for a circle is <span>
(x – h)</span>² + (y – k)² = r²<span>, where (h,k) is the coordinate of the center.
We already know that (h,k) = (5,-4), since we know the center's coordinates. We need to find r, the radius, using the distance between the center and the point (-3,2).
To do this, we can either use the distance formula, or plug in the points in our circle equation and solve for r.
Let's do the second one, plugging in and solving for r.
We can use the point (-3,2) for (x,y):
</span>(x – h)² + (y – k)² = r²
(-3 - 5)² + (2 - -4)² = r²
(-8)² +(6)² = r²
64 + 36 = r²
100 = r²
r = 10
We know that r=10, and that r² = 100
Using h, k, and r, we can now solve for the equation of the circle in standard form.
The equation of the circle is:
(x – 5)² + (y + 4)² = 100
Answer:
Ok
Step-by-step explanation:
Answer:
To me it means that challenges are meant to show your strengths and weaknesses, and that things will challenge your weakness but it ends up making them into strengths.
Step-by-step explanation:
