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Tom [10]
3 years ago
13

Simplify 9/20 × 4/5

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
3 0
<span>Answer:  18/25 ; or, write as:  0.72  .
_____________________________________
Explanation:
<span>_____________________________________
</span>
9/20  * 4/5  = (</span>9*4) / (10*5) = 36/50 ; 
<span>_____________________________________________________

36/50 = </span>(36÷2) / (50÷2) = 18/25 ; or, write as:  0.72  .
<span>_____________________________________________________
</span>
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Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (w.y) be the unknown
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Answer:

<h2><em>(3,6)</em></h2>

Step-by-step explanation:

Given two coordinates (x₁,x₂) and (y₁,y₂), their midpoint (w,y) is expressed as:

M(X,Y) = (\dfrac{x_1+w}{2},  \dfrac{y_1+y}{2})

From the question, we are given the midpoint (X,Y) to be (2,2) and one endpoint as (1, -2) and we are to find the other end point expressed as (w,y). From the coordinates given, i can be seen that X = 2, Y =2, x₁ = 1 and y₁ = -2

Substituting the given end points into the given formula to get the other end points, we will have;

X = \dfrac{x_1+w}{2} \\2 =  \dfrac{1+w}{2} \\cross\ multiply\\4 = 1+w\\w = 4-1\\w = 3

Similarly;

Y = \dfrac{y_1+y}{2} \\2 =  \dfrac{-2+y}{2} \\cross\ multiply\\4 = -2+y\\y = 4+2\\y = 6

<em>Hence the other endpoint (w, y) is (3,6)</em>

8 0
3 years ago
You have just been approved for a 30 year 5.5% fixed home mortgage. The monthly payment that you qualify for is $532.10.
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-----------------------
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