<span>The function h(t) = 210 – 15t has the slope-intercept form of the equation of a straight line. The y-intercept represents the amount h at the very beginning (when t=0). The negative slope (-15) represents the amount by which h will decrease if t is increased by 1.
We are manipulating the value of time, t, so time, t, is the independent variable, and h(t) = y is the dependent variable.</span>
4/25 = 0.16. 0.16 is equal to 16%
Answer:
Part 1) m∠1 =(1/2)[arc SP+arc QR]
Part 2) 
Part 3) PQ=PR
Part 4) m∠QPT=(1/2)[arc QT-arc QS]
Step-by-step explanation:
Part 1)
we know that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
we have
m∠1 -----> is the inner angle
The arcs that comprise it and its opposite are arc SP and arc QR
so
m∠1 =(1/2)[arc SP+arc QR]
Part 2)
we know that
The <u>Intersecting Secant-Tangent Theorem,</u> states that the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
so
In this problem we have that

Part 3)
we know that
The <u>Tangent-Tangent Theorem</u> states that if from one external point, two tangents are drawn to a circle then they have equal tangent segments
so
In this problem
PQ=PR
Part 4)
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
In this problem
m∠QPT -----> is the outer angle
The arcs that it encompasses are arc QT and arc QS
therefore
m∠QPT=(1/2)[arc QT-arc QS]
Answer:

Step-by-step explanation:
Hi there!
We are given the points (2, 7) and (-6, -2). We want to find the distance between them. To do that, we can use the distance formula
The distance formula is given as
, where
and
are points
We have 2 points, which is what we need to find the distance, but let's label their values to avoid any confusion

Now substitute those values into the formula:


Simplify the values under the radical:

Raise to the second power:

Add the numbers under the radical together

The answer can be left as that, as the radical cannot be simplified.
Hope this helps!
Step-by-step explanation:
