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Dafna1 [17]
2 years ago
7

Given a line segment that contains the points A,B, & C in order, if AB = x + 12, and BC = 2x - 4, and AC = 26, find x.

Mathematics
1 answer:
Troyanec [42]2 years ago
4 0

Answer:

x = 6

Step-by-step explanation:

If A, B and C lies on a straight line in order, then;

AB+BC = AC

x+12+2x-4 = 26

x+2x+12-4 =26

3x+8 = 26

3x = 26-8

3x = 18

x = 18/3

x = 6

Hence the value of x is 6

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Anna11 [10]

Answer:

77/32 or 2 13/32

Step-by-step explanation:

First, convert the mixed numbers into improper fractions, 11/4*7/8

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7 0
2 years ago
How do you simplify this?<br>x²y+xy² / y²+2/5 × xy​​​
polet [3.4K]

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • How do you simplify this?
  • x²y+xy² / y²+2/5 × xy

\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

\sf\frac{  { x  }^{ 2  }  y+x { y  }^{ 2  }    }{  { y  }^{ 2  }  + \frac{ 2  }{ 5  }   \times  xy  } \\

Factor the expressions that are not already factored.

_____

<u>How </u><u>to</u><u> factorise</u><u> </u><u>:</u><u>-</u>

<u>NUMERATOR</u> \downarrow

\sf \: x ^ { 2 } y + x y ^ { 2 }

Factor out xy.

\sf \: xy\left(x+y\right)

<u>DENOMINATOR</u> \downarrow

\sf{ y  }^{ 2  }  + \frac{ 2  }{ 5  }   \times  xy \\

Factor out 1/5.

\sf \: {\frac{1}{5}y\left(2x+5y\right)}  \\

_____

Continuing...

\sf\frac{xy\left(x+y\right)}{\frac{1}{5}y\left(2x+5y\right)}  \\

Cancel out y in both the numerator and denominator.

\sf\frac{x\left(x+y\right)}{\frac{1}{5}\left(2x+5y\right)}  \\

Expand the expression.

\sf\frac{x^{2}+xy}{\frac{2}{5}x+y}  \\

This can further simplified to as \downarrow

=    \boxed{\boxed{\bf\frac{5x\left(x  +y\right)}{2x+5y}}}

3 0
2 years ago
There are four classes of third graders at Woodbury Elementary School. One class has 24 students, one has 26 students, another h
Margarita [4]
<span>The answer to this problem is B. 24 + 26 + 31 + 22. </span>
6 0
3 years ago
Read 2 more answers
Write two subtraction equations to show how to find 15-7
choli [55]
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6 0
2 years ago
A hunter is practicing his aim using a practice target. He takes 5 shots. All 5 shots hit the target, but they do not hit or sur
IRINA_888 [86]

Answer:

D

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Since the arrows fall away from the bullseye and are spread out I would classify this as low accuracy and low precision.

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