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shusha [124]
3 years ago
11

Extended Response

Mathematics
1 answer:
Sonbull [250]3 years ago
3 0

Answer:

The Coordinate of the vertices of Parallelogram RSTU are R(0,0), S(2,3),T(6,3) and U (4,0).

we have to find the vertices of a point which cuts the side of parallelogram ST  .It is given that line y = x passes through R.

Suppose that it cuts the side ST at M (p,q).

Equation of line passing through T(6,3)and S (2,3) is

\frac{y-3}{x-2}= \frac{3-3}{6-3}\\\frac{y-3}{x-2} = 0\\y- 3=0

it passes through (p,q)∴

∴ q -3 =0     ...........(1)

Line y=x passes through (p,q).

p -q=0

p=q

Equation (1) becomes

p= q=3

So the line y =x cuts TU at M (3,3).




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You can do this by first finding the y intercept which is the point where x = 0

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so  y intercept is the point (0,2)

Now find the x intercept by putting y = 0

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x = -2/3 

So we have 2 points  (-2/3, 0) and (0,2)  Draw a line through these 2 points and you have the required graph.
6 0
3 years ago
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Help me please someone
prisoha [69]
<h3>Answers:</h3>
  • Part A) Solution is (-3,-3)
  • Part B) Two solutions are (0,0) and (2,2)
  • Part C) Solution is x = -6

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

Explanation:

Part A

Ignore the g(x) curve. We're looking for the intersection of the p(x) and f(x) curves. The two cross at (-3,-3) which is the solution to the system of these two equations. This point is on both p(x) and f(x) simultaneously. That means the coordinates of the point satisfy both p(x) and f(x) equations simultaneously.

------------------------

Part B

Pick any two points you want from the f(x) curve. You could pick the solution we mentioned, but I'll go for (0,0) and (2,2). When talking about a single curve, it has infinitely many solutions (as long as you pick a point on the curve).

------------------------

Part C

Ignore the f(x) curve. The graphs of p(x) and g(x) intersect when x = -6, which is the solution to the equation p(x) = g(x). We're only concerned about the x coordinate of the intersection.

6 0
3 years ago
Whitney rode her skateboard at a constant speed. She rode 1 mile in 10 minutes. Which of these equations represents the amount o
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Answer:

C. t = 10d

Example:

If i rode the bike for 3 miles then

t = 10(3)

Then,

t = 30

So, the bike was rode for 30 minutes

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8.21 x 10^5 is more than, the same as, less than 821000?
nata0808 [166]

Answer: The same as

Step-by-step explanation:

Hope this helps

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5(1+2h)+4h=33<br> need simple steps/and answer
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Answer:

h = 2

Step-by-step explanation:

5(1+2h)+4h = 33

5+10h+4h = 33

14h = 33-5

14h = 28

h = 28/14

h = 2

Hope this helped!

8 0
3 years ago
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