3 years ago

Can anyone help me with this?

Mathematics

1 answer:

mart [117]3 years ago

7 0

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}y=3x+2&(1)\\y=5x&(2)\end{array}\right\\\\\text{substitute (2) to (1):}\\\\5x=3x+2\qquad\text{subtract 3x from both sides}\\2x=2\qquad\text{divide both sides by 2}\\x=1\\\\\text{Put the value of x to (2):}\\\\y=5(1)=5$

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What is the abscissa of the midpoint of the line segment whose endpoints are (5√2,2√3) and (√2,2√3)

xxMikexx [17]

Let
A------> (5√2,2√3)
B------> (√2,2√3)

we know that
the abscissa and the ordinate are respectively the first and second coordinate of a point in a coordinate system
the abscissa is the coordinate x

step 1
find the midpoint
ABx------> midpoint AB in the coordinate x
ABy------> midpoint AB in the coordinate y

ABx=[5√2+√2]/2------> 6√2/2-----> 3√2
ABy=[2√3+2√3]/2------> 4√3/2-----> 2√3

the midpoint AB is (3√2,2√3)

the answer is
the abscissa of the midpoint of the line segment is 3√2

see the attached figure