What is the volume of the cylinder below?

Triangle JKL is equilateral. One side of the triangle, JL, is a diameter of circle M. Which is true about line segments JK and K

antoniya [11.8K]

It could be concluded that since line JL is a diameter of a circle, therefore, JK and KL are the tangents of the specific circle that JL is part of. By definition, a tangent is "a line that touches a curve at one point without touching it." Both these lines touches the edges of the circle M therefore they are tangents.

7 0

3 years ago

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If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of is . If the coordinates

Rasek [7]

Answer with explanation:

Equation of line Passing through two points (a,b) and (c,d) is given by:

$\frac{y-b}{x-a}=\frac{d-b}{c-a}$

Equation of line Passing through two points (8,0) and (3,7) is given by:

$\rightarrow \frac{y-7}{x-3}=\frac{7-0}{3-8}\\\\\rightarrow \frac{y-7}{x-3}=\frac{7}{-5}\\\\\rightarrow -5 y+35=7 x - 21\\\\\rightarrow 5 y= -7 x +35 +21\\\\ y=\frac{-7 x}{5}+\frac{56}{5}\\\\y=-1.4 x +11.2$

Comparing with slope intercept form of line,

y= m x+c, where , m is slope and c is y intercept.

⇒Y intercept = 11.2

Equation of line Passing through two points (5,5) and (3,7) is given by:

$\rightarrow \frac{y-7}{x-3}=\frac{7-5}{3-5}\\\\y-7= -1 \times (x-3)\\\\y=7-x+3\\\\y=-x +10$

Comparing with slope intercept form of line,

y= m x+c, where , m is slope and c is y intercept.

⇒Y intercept = 10

Equation of line is, y= -x +10.

3 0

3 years ago

What is 15 / 79. SHow your work

nirvana33 [79]

15/79 is already in simplest form. So, as a decimal it would be 0.215189873. It is hard to do long division on here so I won’t be able to show works

3 0

3 years ago

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Parallel lines e and f are cut by transversal b. what is the value of y?

Aleksandr [31]

2x + 18 and 4x - 14 are corresponding angles...they are equal

2x + 18 = 4x - 14
2x - 4x = -14 - 18
-2x = - 32
x = -32/-2
x = 16

so the measure of 4x - 14 = 4(16) - 14 = 64 - 14 = 50

and 4x - 14 and y are supplementary angles that add up to 180 degrees

so 50 + y = 180.....y = 180 - 50....y = 130 <==

3 0

3 years ago

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Is the function continuous at x = -17

Pavlova-9 [17]

For a function to be continuous at an x-value, say -17, you need to make sure two things line up:

The limit from the left equals the limit from the right.

$\lim_{x \to -17^{-}} f(x) = \lim_{x \to -17^{+}} f(x)$

This limit equals the functions value.

$\lim_{x \to -17} f(x) = f(-17)$

The left hand limit involves the first piece, f(x) = 20x + 1:

$\begin{aligned} \lim_{x \to -17^{-}} f(x) &= \lim_{x \to -17^{-}} (20x+1)\\[0.5em]&= 20(-17)+1\\[0.5em]&= -339\endaligned}$

The right hand limit invovles the second piece, f(x) = -10x^2:

$\begin{aligned} \lim_{x \to -17^{+}} f(x) &= \lim_{x \to -17^{+}} (-10x^2)\\[0.5em]&= -10\cdot (-17)^2\\[0.5em]&= -2890\endaligned}$

Since the two one-sided limits don't match, the function is not continuous at x=-17.

3 0

3 years ago