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slamgirl [31]
3 years ago
14

14) M is the midpoint of line segment ST. Point M has coordinates (3,6), and point

Mathematics
1 answer:
zloy xaker [14]3 years ago
5 0
The coordinate of T is (2.5, 5)

Use the midpoint formula:
(X1+X2)/2=X
(Y1+Y2)/2=Y

(1 + x)/2=3
0.5 + x = 3
X=2.5

(2 + y)/2= 6
1 + y =6
Y=5

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Solve for y: 2(3y + 5) = 3 (5y +1/3).
kaheart [24]

Answer:

2(3y + 5) = 3 (5y +1/3)

6y+10=15y+1

9=9y

y=1

4 0
2 years ago
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A girl is twice as old as her sister. Five years hence, the product of their ages (in years) will be 375. Find their present age
Orlov [11]

Answer: girls=20, sister=10

Step-by-step explanation:

Let x = the girl's sister's age (present)

Let 2x= the girl's age (present)

-------------------------------------------------------------

According to the question

(x+5)(2x+5)=375

Expand parentheses by FOIL (First Outer Inner Last)

2x²+5x+10x+25=375

Combine like term (5x and 10x)

2x²+15x+25=375

Subtract 375 on both sides

2x²+15x+25-375=375-375

2x²+15x-350=0

Find the factors (cross factor)

(x-10)(x+17.5)=0

x=10 or x=-17.5 (rej) ⇔ the age can't be negative

the girl's age is 20, and her sister's age is 10.

7 0
3 years ago
What is the equation of the line that passes through (-5 0) and (4 ,3)​
mixas84 [53]

Answer:

in slope intercept form is y=1/3x+5/3

Step-by-step explanation:

6 0
3 years ago
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Please Help. Lateena solved the equation below. Is her solution correct? Explain why or why not?
bonufazy [111]

Answer:

Not correct

Step-by-step explanation:

Given:

x² - 6x - 7 = 0

The following equation can be solved correctly by factoring Thus,

x² - x + 7x - 7 = 0

x(x - 1) +7(x - 1) = 0

(x - 1)(x + 7) = 0

(x - 1) = 0

x - 1 = 0

x - 1 + 1 = 0 + 1

x = 1

Or

(x + 7) = 0

x + 7 = 0

x + 7 - 7 = 0 - 7

x = -7

Therefore, the solution would be x = 1 or x = -7

Lateena solution is therefore NOT CORRECT because she used a wrong method.

6 0
3 years ago
A person invested $710 in an account growing at a rate allowing the money to double every 12 years. How long, to the nearest ten
mario62 [17]
4 years and 7 months so I guess that would be 4.6 years
3 0
2 years ago
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