Answer:
? = 13.6
Step-by-step explanation:
the angle between a tangent and the diameter = 90°
Then the triangle is right with legs 2 × 6 = 12 and 6.4
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the legs , that is
? ² = 12² + 6.4² = 144 + 40.96 = 184.96 ( take square root of both sides )
? =
= 13.6

Therefore, the slope of the line is 1. In case if you want to know the equation.

Therefore, the equation is y=x+10 by substituting the (-6,4) or we can substitute (6,16) too.

It's the same, you can use any orders given.
Overall, the slope is 1 and the equation is y=x+10
Answer:

Step-by-step explanation:
The given expression is

First, we need to factor each denominator

So, the least common factor (LCF) is
, because they are the factors that repeats.
Now, we diviide the LCF by each denominator, to then multiply it by each numerator.

Then, we factor the numerator, to do so, we need to find two numbers which product is 10 and which sum is 7.

Therefore, the expression is equivalent to

<h3>The solution is (x, y) = (3, -24)</h3>
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
-3x - y = 15 -------- eqn 1
y = -8x ------ eqn 2
We have to find solution of (x, y)
We can solve by substitution method
<em><u>Substitute eqn 2 in eqn 1</u></em>
-3x - (-8x) = 15
-3x + 8x = 15
5x = 15
Divide both sides by 5
<h3>x = 3</h3>
Substitute x = 3 in eqn 2
y = -8(3)
<h3>y = -24</h3>
Thus solution is (x, y) = (3, -24)
A prism is rectangular shaped,. a pyramid is triangular shaped.
The ratio would be 1 to 3
The formula for the pyramid is V = 1/3Bh