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PolarNik [594]
1 year ago
11

Help! Find the coordinates of P so that P partitions the segment AB in the ratio 6:2 if A(−4,12) and B(9,−4).

Mathematics
1 answer:
LekaFEV [45]1 year ago
7 0

(5.75,0)

Let A be (x1,y1) , B be (x2,y2) , P be (x,y) and the ratio be m:n

Formula is,

x=(x2*m+x1*n)/(m+n)

y=(y2*m+y1*n)/(m+n)

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Clod would get 11, because the number they both thought of was 63

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Determine the value of $a$. [asy] pair w=(0,4); pair x=(0,0); pair y=(4,0); pair z=y+7/sqrt(2)*(1,1); dot(w); dot(x); dot(y); do
grandymaker [24]

Answer:

a=7

Step-by-step explanation:

The image is rendered and attached below.

Triangle WXY is an Isosceles right triangle, since WX=XY.

First, we determine the length of WY using Pythagoras Theorem.

WY=\sqrt{4^2+4^2}\\WY=\sqrt{32}

Since triangle WXY is Isosceles, \angle XYW=45^\circ

\angle XYZ=\angle XYW+\angle WYZ\\135^\circ=45^\circ+\angle WYZ\\\angle WYZ=135^\circ-45^\circ=90^\circ

Therefore:

Triangle WYZ is a right triangle with WZ as the hypothenuse.

Applying Pythagoras Theorem

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3 0
1 year ago
The area of the figure
STALIN [3.7K]
Rectangle:

4*8=32

Semicircle:

3.14*4^2= 50.24
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Add:

25.12+32= 57.12

Final answer: A
5 0
1 year ago
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storchak [24]
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4 0
2 years ago
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Rachael ordered early learning software for her daughter from an online retailer. Each item costs $6.50, and there is a shipping
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Answer:

Step-by-step explanation:

(a)

Total cost = (7 items * Cost per item) + Shipping fee = 7*6.5 + 8.5 = $54

(b)

Modelling the above equation with symbols:

c = s*6.5 + 8.5 = 6.5s + 8.5

(c)

For a total cost of 80$, c = 80:

80 = 6.5s + 8.5

Calculating, we get:

s =  11 items

Rachel ordered a total of 11 items

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