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Juliette [100K]
3 years ago
15

What is the length of the line segment with endpoints (8,−10) and (8, 20) ?

Mathematics
1 answer:
Gwar [14]3 years ago
4 0
B is your answer because 20 - -10 is 10 brainliest please
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Identify the vertex, focus, and directrix. y=1/8y^2
Brut [27]
If all the equations for the directrix are "x = " lines then this is a y^2 parabola.  The actual equation is x= \frac{1}{8}y^2.  The standard form for a positive sideways-opening parabola is  (y-k)^2=4p(x-h).  We know from the equation that the vertex of the parabola is at the origin, or else the translation would be reflected within the parenthesis in the equation.  Our equation has no parenthesis to indicate movement from the origin.  The vertex is (0, 0).  Got that out of the way.  That simplifies our standard form down to  y^2=4p(x).  Let's take a look at our equation now.  It is  x= \frac{1}{8}y^2.  We could rewrite it and make it a closer match to the standard form if we multiply both sides by 8 to get rid of the fraction.  That gives us an equation that looks like this:  y^2=8x.  That means that 4p = 8, and p = 2.  p is the distance that the focus and the directrix are from the vertex.  Since this is a positive parabola, it opens up to the right.  Which means, then, that the focus is to the right of the vertex, 2 units to be exact, and the directrix is 2 units to the left of the vertex.  The formula for the focus is (h + p, k).  Our h is 0, our k is 0 and our p is 2, so the coordinates of the focus are (2, 0).  Going 2 units to the left of the origin then puts our directrix at the line x = -2.  Your choice then as your answer is b. 
6 0
3 years ago
Given a point on a line and the equation of a parallel or perpendicular line, write the equation of the line in point-slope form
Arlecino [84]

Answer: y - 5 = 0(x - 1)

==================================================

Explanation:

Recall that point slope form in general is written as such

y - y1 = m(x - x1)

where,

m is the slope

(x1,y1) is the point the line goes through

The given equation y = 7 can be written as y = 0x+7. So we see that this line has a slope of m = 0

Plug m = 0 along with the given point (x1,y1) = (1,5) into the point slope equation and we get

y - y1 = m(x - x1)

y - 5 = 0(x - 1)

which is the final answer

note: the equation in bold can be rearranged and simplified to get y = 5; however your teacher seems to want the answer in point-slope form, so we leave it as such.

6 0
3 years ago
What is the polygon being Rotated to create the blue quilt block pattern
azamat

Answer: Thats technically a rhombus, but since thats not an option its a parallelogram

Step-by-step explanation:

Answer Is C.

3 0
2 years ago
Read 2 more answers
Need help with 7-10 please and thank you!!
Archy [21]

Answer:

#7: MK, LS and PR

#8: PN and PQ

#9: no

#10: no

Step-by-step explanation:

#7: lines MK, LS and PR are not intersecting each other, so these lines are parallel each other

#8: between lines PN and PQ is an right angle, so the lines PN and PQ are perpendicular

#9: lines PN and KM have an intesecting point, so they're not parallel

#10: there is no right angle between lines PR and NP

3 0
3 years ago
What is x in 0x<3 i though you couldn't divide anything with 0
Anna11 [10]

Step-by-step explanation:

0x<3

x>3/0

x>∞

x is undefined.

3 0
3 years ago
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