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Virty [35]
4 years ago
8

Q # 18 Find the midpoint of. A B

Mathematics
1 answer:
Lady_Fox [76]4 years ago
4 0
Point A lies on the x-axis and distance from point A to the y-axis is 2 units, then the coordinates of A are (-2,0) (-2, because A lies on the left side from the origin and 0 because A lies on x-axis).
The distances from point B to the x-axis and y-axis are 2 and 4, then tha coordinates of point B are (4,2).
To find the middle-point M of segment AB you should use formulas: x_M= \dfrac{x_A+x_B}{2}  \\ y_M= \dfrac{y_A+y_B}{2}.
Then x_M= \dfrac{-2+4}{2}=1 \\ y_M= \dfrac{0+2}{2}=1.
Answer: M(1,1), correct choice is C.

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Functions and Transformations
DaniilM [7]

The new translated function will be more towards the origin , as the value of length is decreased , Option C is the right answer.

<h3>What is a Function ?</h3>

A function is a mathematical statement used to relate a dependent and an independent variable.

It is given that

Area of a Rectangle is 10 sq. unit

Width of the Rectangle is x unit

Length is given by  

l(x) = 10 / x

When the length of the Rectangle is increased by 1 ,

The new function will be

l(x) = 10 /(x+1)

The new translated function will be more towards the origin , as the value of length is decreased ,

This is represented by Graph 3 ,

This can be proved by keeping the value of x

let x = 2

y = 10 /3 = 3.333

This is only in the graph 3 , Therefore Option C is the right answer.

To know more about Function

brainly.com/question/12431044

#SPJ1

6 0
2 years ago
Which method correctly solves the equation using the multiplication property of equality and the reciprocal of One-third? One-th
Airida [17]

Answer:

Step-by-step explanation:

Given the equation \frac{1}{3}(x+9) = -12

Step 1;

Expand the bracket at the right hand side of the equation to have:

\frac{1}{3}x +\frac{1}{3}(9) = -12\\\frac{1}{3}x+3=-12\\subtracting\ 3\ from\ both\ sides\\\frac{1}{3}x+3-3=-12-3\\\frac{1}{3}x=-15\\

Taking the reciprocal of both sides:

\frac{3}{x} = \frac{-1}{15} \\ cross\ multiplying\\-x =45\\x=-45

4 0
3 years ago
Read 2 more answers
How do you solve this question
Wewaii [24]

<h2>Solution:.</h2>

Let the ceilings be <em>a</em><em> </em><em>&</em><em> </em><em>b</em>

and the distance from one corner of the ceiling to the opposite be <em>c</em>

<em>then </em><em>using</em><em> </em><em>Pythagoras</em><em> theorem</em>

c =  \sqrt{a {}^{2} +  b  {}^{2} } \\  c =    \sqrt{16 {}^{2} +  12  {}^{2} } \\ c =  \sqrt{256 + 144 }  \\ c =  \sqrt{400}  \\ c = 20

hence ,c .°. the distance from one corner of the ceiling to the opposite is<em> </em><em>2</em><em>0</em>

3 0
2 years ago
A 5-pack of popsicles costs $0.95. What is the unit price?
Rainbow [258]
Unit price - price of one
0.95/5= 0.19p
hope this helps
4 0
3 years ago
Read 2 more answers
Consider the following figure:
motikmotik

Answer:

angle <B = 76

Step-by-step explanation:

The measure of an exterior angle is equal to sum of two interior angles that is not adjacent to the exterior angle.

We can write the following equation with this information to find the value of angle <B

<B + 71 = 147 subtract 71 from both sides

<B = 76

5 0
2 years ago
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