Answer: A' (-4,0)
Step-by-step explanation:
Answer: the diagonal is 10 units
Step-by-step explanation:
The rectangle has 2 parallel and equal sides. Each of the 4 angles in a rectangle is 90°. Therefore, the diagonal of the rectangle divides it into 2 equal right angle triangles and the diagonal represents the hypotenuse of both right triangles.
To determine the length of the diagonal of the rectangle, d, , we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
d² = 5² + (5√3)²
d² = 25 + 25×3 = 100
d = √100
d = 10 units
If line r is parallel to line q, they have the same slope which is -2. You can use the point-slope formula <span>y-y₁=m(x-x₁) and plug in 8 for y and -8 for x. Solve for y to get the equation in slope-intercept form (y = mx + b). "M" is the slope.</span>
Answer and explanation:
Given : Expression
as ![\sqrt[4]{16}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B16%7D)
To find : Use properties of exponents to explain why it makes sense to define expression ?
Solution :
Using property of exponent,
![x^{\frac{1}{n}}=\sqrt[n]{x}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D%3D%5Csqrt%5Bn%5D%7Bx%7D)
On comparing with given expression,
Here x=16 and n=4
![(16)^{\frac{1}{4}}=\sqrt[4]{16}](https://tex.z-dn.net/?f=%2816%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D%5Csqrt%5B4%5D%7B16%7D)
Hence by property it defied the expression.