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cupoosta [38]
2 years ago
6

5. Find the point P along the directed line segment from X(-3, 3) to Y(6,-3) that divides

Mathematics
1 answer:
ASHA 777 [7]2 years ago
6 0
Consider point P(x,y) such that P, X and Y are collinear,

As vectors

XP = XO + OZ where O(0,0)
XP = OZ - OX
XP= (x,y) - (-3,3)
XP = (x+3, y-3)

Similarly,

PY = (6-x, -3-y)

But XP= 2^PY

[x+3, y-3] = [2(6-x), 2(-3-y)]

Given both vectors are equal, as they go in the same direction, Solve for x and y accordingly:

x+3 = 12 - 2x

x = 3

y-3 = -6-2y

y = -1

Therefore, P(3,-1)

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The football team has a total of 50 jerseys. There are 35 ​medium-sized jerseys. What percent of the jerseys are​ medium-sized j
Mariulka [41]
Hello,

This problem can be simply solved by putting everything into fractions. Since there's a total of 50 shirts but 35 of them are medium sized then the fraction would be 35/50. You're trying to find the percentage so the 2nd fraction would be out of 100 so it would be ?/100.
35      ?
----  =  ----
50    100
Now you diagonal multiplication then downwards division.
100 x 35=3500
3500/50=70
So your answer is 70%!! :D
Hope this helps a bunch!!!


4 0
3 years ago
What is 40/100 simplified. I really need to know
marysya [2.9K]

fraction form is 2/5

decimal form is 0.4

8 0
2 years ago
The sum of two numbers is 19, and their difference is 55. What are the two numbers?
Vilka [71]

Answer:

37 and -18

Step-by-step explanation:

Let one number be x and other y

1 x + 1 y = 19 .............1

1 x -1 y = 55 .............2

Eliminate y

multiply (1)by 1

Multiply (2) by 1

1 x 1 y = 19

1 x + -1 y = 55

Add the two equations

2 x = 74

/ 2

x = 37

plug value of x in (1)

1 x + 1 y = 19

37 + 1 y = 19

1 y = 19 -37

1 y = -18

y = -18

37 and -18

5 0
3 years ago
in jean's new clothing store, she charges 21.75 for each sweatshirt she sells. what was jean's revenue if she sold 51 sweatshirt
Kamila [148]

Answer:

1109.25

Step-by-step explanation:

21.75 x 51 = 1109.25

3 0
3 years ago
It's just reflections please help​
Vadim26 [7]

Answer:

C. P'(-4,-7), Q'(-8,-7), R'(-3,3).

Step-by-step explanation:

When a shape is reflected over a line y=x, the values in the coordinates are just swapped.

P(-7,-4) becomes P'(-4,-7)

Q(-7,-8) becomes Q'(-8,-7)

R(3,-3) becomes R'(-3,3)

The answer is P'(-4,-7), Q'(-8,-7), R'(-3,3).

6 0
2 years ago
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