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shusha [124]
3 years ago
14

The line segment, AB has a point C as its midpoint. If A is at (2,2) and C is at (5,4) what are the coordinates of the endpoint

B
A:(-1,0)
B:(3.5,3)
C:(5,4)
D:(8,6)
Mathematics
2 answers:
Alecsey [184]3 years ago
5 0

Answer:

( 8 , 6 )

Step-by-step explanation:

A = ( 2 , 2 ) and C = ( 5 , 4 )

→ Form an equation

\frac{2+x}{2} =5   and   \frac{2+y}{2}=4

→ Now solve them

2 + x = 10 and 2 + y = 6

→ Simply find the values

x = 8 and y = 6

nikdorinn [45]3 years ago
3 0
  • Let the coordinates of B be ( x , y ). Now , Let A ( 2 , 2 ) be ( x₁ , y₁ ) & B ( x , y ) be ( x₂ , y₂ )

SOLUTION :

  • All you need to apply is the formula of Midpoint i.e \sf{ \bold{( \frac{x_{1} + x_{2}}{2}  \: , \frac{y_{1} + y_{2}}{2} )}}

  • Plug the known values :

\large{ \rightarrow{ \tt{ \: (5 \: ,4 \: ) = ( \frac{2 + x}{2}  \: , \frac{2 + y}{2} )}}}

  • Equating corresponding values :

\large{ \tt{5 =  \frac{2 + x}{2} }}

\large{ \rightarrow{ \tt{10 = 2 + x}}}

\large{  \rightarrow{\tt{10 - 2 = x}}}

\boxed{ \large{ \rightarrow \tt{x = 8}}}

  • Value of x = 8

\large{ { \tt{4 =  \frac{2 + y}{2} }}}

\large{ \rightarrow{ \tt{8 = 2 + y}}}

\large{ \rightarrow{ \tt{8 - 2 = y}}}

\boxed{ \large{ \rightarrow{ \tt{y = 6}}}}

  • Value of y = 6

\large{ \boxed{ \tt{OUR \: FINAL \: ANSWER  :  \: D. \: (8 \:, 6 \: ) }}}

:) Hope I helped! Let me know if you have any questions regarding my answer! ~

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stepan [7]

Step-by-step explanation:

6x²–5x–4 = 0

6×4 = 24..

write many ways 24 can be written..

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(8×3) --> –8+3 = –5

6x²+3x–8x–4 = 0

6x(x+½)–8(x+½) = 0

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3 years ago
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X=180-124

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3 years ago
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Julia was creating similar triangles in the coordinate plane. The first triangle had a rise of 3 and a run of 10. The second tri
valina [46]

Yes julia is correct the run of the scond similar triangle will be b2=25.

<h3>What are simlilar traingles?</h3>

The similar triangle are those whose three sides or one angle or two sides or two angles one side are equal.

In the given:

Height of first triangle h=3

Base of first traingle =10

Height of second triangle =7.5

The base of second triangle b2 = ?

From the triangle similarity

\dfrac{h_1}{b_1}=\dfrac{h_2}{b_2}

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b_2=25

Thus julia is correct the run of the scond similar triangle will be b2=25.

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3 0
2 years ago
Round 13.406 to the nearest hundredths
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Check out if I'm right<br> Plz explain..if u have a different answer
Ronch [10]

Answer:

A C

Step-by-step explanation:

A

A is true.The numerator does have 3 terms. The constant term (the 3 at the end) is still a term and counts as a term.

B

A constant term does not count as a coefficient so b is not right, just as you have indicated by not underlining it.

C

C is true. In fact, 2 is the leading coefficent of the denominator.

D

Either A is true or D is, but I don't think they both are. You need a modifier to claim that D is true. If the statement said the numerator has <em>at least </em>2 terms then both A and D would be true. Without the at least, you have to pick one and the one I choose is A

E

This is the tough one. Very sticky. You would think it is true, but it isn't. A constant term is not a coefficient. Coefficients only count when they are with "x"s.

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