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Luba_88 [7]
3 years ago
8

Slope is 2, and (3,8) is on the line. Please help :(

Mathematics
1 answer:
MaRussiya [10]3 years ago
5 0
Are you trying to write an equation?

y-8=2(x-3)
y=2x-6+8

y=2x+2
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In a circle a chord 10 inches long is parallel to a tangent and bisects the radius drawn to the point of tangency. How long is t
Lorico [155]
Check the picture below.

keeping in mind that the point of tangency for a radius line and a tangent is alway a right-angle, since the "red" chord is parallel to the "green" tangent line outside, then the chord is cutting the "green" radius there in two equal halves at a right-angle, as you see in the picture.

we know the chord is 10 units long, so 5 + 5, since is perpendicularity with the radius will also cut the chord in two equal halves.

anyhow, all that said, we end up with triangle you see on the right-hand-side, and then we can just use the pythagorean theorem.

\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
-------\\
c=2a\\
a=a\\
b=5
\end{cases}\implies (2a)^2=a^2+5^2

\bf (2^2a^2)=a^2+25\implies 4a^2=a^2+25\implies 3a^2=25
\\\\\\
a^2=\cfrac{25}{3}\implies a=\sqrt{\cfrac{25}{3}}\implies a=\cfrac{\sqrt{25}}{\sqrt{3}}\implies a=\cfrac{5}{\sqrt{3}}
\\\\\\
\textit{and then we can \underline{rationalize the denominator} }
\\\\\\
a=\cfrac{5}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies a=\cfrac{5\sqrt{3}}{\sqrt{3^2}}\implies a=\cfrac{5\sqrt{3}}{3}

7 0
3 years ago
Select the correct answer.
aleksklad [387]

Answer:

B) 454.50

Step-by-step explanation:

-25.50 + 480.00 = 454.50

8 0
3 years ago
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MArishka [77]
You have to find two definite points on the graph, i'll use (1,4) and (2,6) as an example

The slope formula is (y2-y1)/(x2-x1)

This means you have to subtract the first y value from the second divide it by the first x value subtracted from the second

In my example you have to do (6-4)/(2-1) to get 2/1, or 2

Hope this helps!
7 0
3 years ago
What is 8.21 as a mixed number
babymother [125]
8 21/100 is your answer! :)
8 0
3 years ago
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The riverside geyser in Yellowstone erupts about every 6.25 h. When the geyser erupts, the water has an initial upward velocity
Aleonysh [2.5K]

Answer:

Correct answer:  Hmax = 22.11 m

Step-by-step explanation:

The subject of this problem is a vertical shot upwards, to which the following formula applies:

V₀² - V² = 2 · g · H   where is:

V₀ - initial velocity

V - final velocity

g = 10 m/s²

H - final height

Given:

V₀ = 69 ft/s = 21.03 m/s

V = 0 m/s

Hmax = ?

V₀² = 2 · g · Hmax  ⇒ Hmax = V₀² / 2 · g

Hmax = 21.03² / 2 · 10 = 442.26 / 20 = 22.11 m

Hmax = 22.11 m

God is with you!!!

6 0
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