Answer:
Step-by-step explanation:
A spring has a force formula of F = k*x
f = 125 N
x = 0.15 m
125 = k*0.15
k =833.33
F = ?
k = 833.33
x = 0.25 m
F = 833.33 * 0.25
F = 208.33 N
You could do this without solving for k
F1/F2 = x1/x2
F1 = 125 N
F2 = ?
x1 = 0.15
x2 =0.25
125 / F2 = 0.15 / 0.25 Cross multiply
125 * 0.25 = 0.15 * F2 Divide by 0.15
125*0.25 /0.15 = F2
F2 = 208.33 just as you got above
1/2 base by height
Your answer is 6
Answer:
Option A (7×3) + 1/2(7×6)
Step-by-step explanation:
Divide this shape into a square and a triangle
For area of square the formula is
Area = A = L ×W
From shape of square
7 seven boxes are yellow so L=7 and width W=3
A = 7 × 3
For triangle formula is
A = (1/2)bh
A = (1/2)(7×6)
Add them
A = (7×3) + 1/2(7×6)
We are given the following:
AB = 4800 miles
AO = 4000 miles
There is also a rule that states that a line tangent to a circle, will be perpendicular to the radius of the circle at the point of tangency. Therefore, triangle BAO is a right triangle.
We use Pythagorean theorem to solve for the hypotenuse BO.
BO = √(AO²+AB²) = √(4000²+4800²) = 6248 miles
But the problem asks for the length of BC. Since we know that OC is a radius of the circle, then:
BC = 6248 - 4000 = 2,248 miles.
The answer is C.
Answer:
Slope = 9
Step-by-step explanation:
(-7 , -2) ; x₁ = -7 and y₁ = -2
(-6 , 7) ; x₂ = -6 and y₂ = 7
Slope = 
![=\frac{7-[-2]}{-6-[-7]}\\\\=\frac{7+2}{-6+7}\\\\=\frac{9}{1}\\\\= 9](https://tex.z-dn.net/?f=%3D%5Cfrac%7B7-%5B-2%5D%7D%7B-6-%5B-7%5D%7D%5C%5C%5C%5C%3D%5Cfrac%7B7%2B2%7D%7B-6%2B7%7D%5C%5C%5C%5C%3D%5Cfrac%7B9%7D%7B1%7D%5C%5C%5C%5C%3D%209)
