Answer:
x = 4
Step-by-step explanation:
When a tangent and a secant are drawn from an external point to a circle.
Then the product of the external part of the secant and the entire secant and the square of the measure of the tangent are equal, hence
x(x + 5) = 6²
x² + 5x = 36 ( subtract 36 from both sides )
x² + 5x - 36 = 0 ← in standard form
(x + 9)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x - 4 = 0 ⇒ x = 4
However, x > 0 ⇒ x = 4
Answer:
D or answer 4 y=-5/2x+7
Step-by-step explanation:
Well we can first start of by finding the y-intercept.
Note that when x=0, you can find your y-intercept.
Knowing this, and looking at the table, 7 is the y-intercept because when y=7, x=0.
So we can eliminate choices 'a' and 'c,' or answers 1 and 3, because they have the y-intercept as -7, when it's just 7.
Please know that in the equation:
y = mx + b
y = y-coordinate or any given point
mx = slope
b = y-intercept
Now we must find slope
To find the slope we need to do:
(y2 - y1) / (x2 - x1) or rise/run
The two coordinates I choose to use is (0, 7) and (6, -8).
(-8 - 7) / (6 - 0) = -5/2
-5/2 is the slope
Finally, look for an equation that has 7 as the y-intercept and -5/2 as the slope.
Answer: D or answer 4
Answer:
f(x) = 3x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 3)
m = 
= 3 , then
y = 3x ← is the equation of the graphed line
Answer:
8
Step-by-step explanation:
8+12+4+3+14+1+9+13=64, 64/8=8
A quantity is said to be determined by exponential decay if it diminishes at a rate proportional to its value. The time essential for the decaying amount to descend to half of its initial value. Therefore the answer<span> is False.</span>
