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3 years ago

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

$y=31$

Find the value of x

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

Find the value of z

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

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 1. 8(x + 5) = 3.-2(3m + 9) =

TiliK225 [7]

Answer:

8x +40
-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 2 3 5 7 11 13 17 19 23 29 31

5 0

3 years ago

Read 2 more answers