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IgorLugansk [536]
3 years ago
12

B(7, 2) and C(-1,-9) are the endpoints of a line segment. What is the midpoint M of that line

Mathematics
1 answer:
Oksana_A [137]3 years ago
4 0

Answer:

(3,-3.5)

Step-by-step explanation:

Mid-point formula : \frac{ x_{1} +x_{2}} {2}, \frac{y_{1}+y_{2}  }{2} \\\\x=\frac{7+(-1)}{2}         ,     y=  \frac{2+(-9)}{2} \\x= \frac{6}{2}              ,     y=  \frac{-7}{2} \\x=3                             ,    y= -3.5

Midpoint M of the line segment is (3,-3.5)

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Joe"s Age Is three times Aaron's age and Aaron is six years older than Christina if the sum of their ages is 149 what is Christi
zhuklara [117]

Answer:

Joe's age is 93 years

Aaron's age is 31 years

Christina's age is 25 years

Step-by-step explanation:

Let

x ---->Joe's age

y ----> Aaron's age

z----> Christina's age

we know that

Joe"s Age Is three times Aaron's age

x=3y ----> equation A

Aaron is six years older than Christina

y=z+6

isolate the variable z

z=y-6 ----> equation B

The sum of their ages is 149

x+y+z=149 ----> equation C

solve the system by substitution

substitute equation A and equation B in equation C

(3y)+y+(y-6)=149

solve for y

Combine like terms left side

5y-6=149

Adds 6 both sides

5y=149+6

5y=155

Divide by 5 both sides

y=31

<em>Find the value of x</em>

x=3y ----> x=3(31)=93

<em>Find the value of z</em>

z=y-6 ---- z=31-6=25

therefore

Joe's age is 93 years

Aaron's age is 31 years

Christina's age is 25 years

3 0
3 years ago
Add the following with conversion.
sp2606 [1]
1m = 100cm

e) 925 cm + 175cm = 1 100cm

1L = 1000mL

f) 2355mL + 7755mL = 10 110mL


4 0
3 years ago
Directions: Simplify each expression by distributing <br> 1. 8(x + 5) =<br> 3.-2(3m + 9) =
TiliK225 [7]

Answer:

  1. 8x +40
  2. -6m-18

Step-by-step explanation:

8(x + 5) =  \\ 8(x) + 8(5) \\  = 8x + 40

- 2(3m + 9) \\  =  - 2(3m)  - 2(9) \\  =  - 6m - 18

7 0
3 years ago
A lady buys 20 trinkets at a yard sale.
Katen [24]

Answer:

Lady purchased 12 trinkets costing $0.30 each and 8 trinkets costing $0.65 each.

Step-by-step explanation:

A lady buys total number of trinkets = 20

Cost of each trinket is either $0.30 or $0.65.

Let the number of trinkets is x she purchased for $0.30 and y for $0.65

Then x + y = 20 --------(1)

Since she spends total amount = $8.80

Then the equation will be

0.30x + 0.65y = 8.80 ---------(2)

We replace x = (20 - y) from equation (1) to equation (2)

0.30(20 - y) + 0.65y = 8.80

6 - 0.30y + 0.65y = 8.80

0.35y + 6 = 8.80

0.35y = 8.80 - 6

0.35y = 2.80

y = \frac{2.80}{0.35}

y = 8

Now we put y = 8 in equation (1)

x + 8 = 20

x = 20 - 8

x = 12

Therefore, lady purchased 12 trinkets costing $0.30 each and 8 trinkets costing $0.65 each.

7 0
3 years ago
On a calendar of 31 days what are the prime numbers
zepelin [54]
I believe <span>2   3   5   7   11   13   17   19   23   29   31</span>
5 0
3 years ago
Read 2 more answers
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