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irga5000 [103]
3 years ago
10

What is the midpoint of AB with A(-1, 5) and B(6, -3) A (-4, 3.5) B (1, 2.5) C (2.5, 1) D (3.5, -4)

Mathematics
1 answer:
Alina [70]3 years ago
4 0

Answer:

Option C (2.5, 1) is the right alternative.

Step-by-step explanation:

The given points are:

A = (-1, 5) = (x₁, y₁)

B = (6, -3) = (x₂, y₂)

Now,

The midpoint on X-axis is:

= \frac{x_1+x_2}{2}

= \frac{-1+6}{2}

= \frac{5}{2}

= 2.5

The midpoint on Y-axis is:

= \frac{y_1+y_2}{2}

= \frac{5+(-3)}{2}

= \frac{5-3}{2}

= \frac{2}{2}

= 1

Thus the midpoint of AB is "2.5, 1".

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a trapezoid has base lengths of 6 and 15 centimeters with an area of 136.5 square centimeters. What is the height of the trapezo
MrRa [10]
•*Ok first let me show you the formula for the Area of the trapezoid.
A=a+b/2 h.(I will be using the letter x for the multiplication sign)
 
*And here is the formula to find the height of a trapezoid
h=2 x A/a+b (2 times the Area over base "a" plus base "b")


*We need to plug in the numbers: h = 2 x 136.5/6+15
*Next, we add the two bases to get 21: 6+15=21 (h=2 x 136.5)  
*Then, divide the total of the two bases (21) from the area to get 6.5: 136.5/21-6.5
*Finally we multiply 2 by 6.5: 2 x 6.5= 13
The height if this trapezoid is 13.

Hope this helps you ☺
3 0
4 years ago
What is the number 277,180 in expanded form
Mashcka [7]
200,000+ 70,000+ 7,000+ 100+ 80
5 0
3 years ago
Read 2 more answers
A cell phone provider will allow you to buy a phone over time. They require a $50 initial payment and then charge $25 per month.
kumpel [21]

Answer:

25

Step-by-step explanation:

Given that:

Initial payment done for buying the phone = $50

Charges per month for the phone = $25 per month

To find:

The equation to represent the situation and its slope.

Solution:

First of all, let us assume that m represents the number of months for which monthly is to be made.

Charges paid for one month = $25

Charges paid for m months =  $25m

Total cost of the phone = Initial payment + Charges paid for m months

C = 25m + 50

It is a linear equation between two variables C and m.

This equation can be compared with slope intercept form of a line.

Slope intercept form of a line is represented by:

y=Mx+c

M is the slope.

On Comparing, we get:

y = C, M = 25, x = m, c = 50

Therefore, the slope is <em>25</em>.

5 0
3 years ago
Solve for x show all your work. 10x + 15 = 5x - 10​
sdas [7]

Answer:

x=-5

Step-by-step explanation:

10x + 15 = 5x-10

-5x            -5x

5x+15 = -10

    -15     -15

5x = -25

/5      /5

x = -5

7 0
4 years ago
Horn lengths of Texas longhorn cattle are normally distributed. The mean horn spread is 60 inches with a standard deviation of 4
german

Answer:

range is  between 55.5 to 64.5

Step-by-step explanation:

Horn lengths of Texas longhorn cattle are normally distributed. The mean horn spread is 60 inches with a standard deviation of 4.5 inches

68% is 1 standard deviation from mean

To get the range of 1 standard deviation we add and subtract standard deviation from mean

mean = 60

standard deviation = 4.5

60 - 4.5= 55.5

60+4.5 = 64.5

1 standard deviation is between 55.5 to 64.5

That is 68% range is  between 55.5 to 64.5

8 0
4 years ago
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