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4 years ago

Find the length of the mid segment the diagram is not to scale

Mathematics

1 answer:

zepelin [54]4 years ago

4 0

Using the left or right side of triangle, you can conclude that the midsegment will divide the triangle in both midlines of the sides. This means the length of the line would be half of the line below it. The equation would be:

47/4x+2= 94/ 4x+44
4x+44/ 4x+2 = 94/47
4x+ 44 / 4x+2 =2
4x+44 = 2(4x+2)
4x+44 = 8x+4
4x-8x= 4-44
-4x= -40
x= 10

Then the length of midline would be:
4x+2= 4(10)+2= 42

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Function Operations Picture attached

sergeinik [125]

Answer: Second option

Step-by-step explanation:

You need to make the multiplication of the function $c(x)=\frac{5}{x-2}$ and the function $d(x)=x+3$ . Then:

$(cd)(x)=(\frac{5}{x-2})(x+3)$

You need to apply the Distributive property:

$(cd)(x)=\frac{5(x+3)}{x-2}\\\\(cd)(x)=\frac{5x+15}{x-2}$

Therefore, the domain will be all the number that make the denominator equal to zero.

Then, make the denominator equal to zero and solve for x:

$x-2=0\\x=2$

Therefore, the domain is: All real values of x except $x=2$

6 0

3 years ago

Solve 2(x + 1) = 2x + 5.

algol13

Answer—> no solution

3 0

3 years ago

Read 2 more answers

Audryn left a $12 tip on a $68.73 restaurant bill. What percent tip did she leave? Round to the nearest tenth of a percent.

Fiesta28 [93]

So, if we take 68.73 to be the 100%, what is 12 in percentage off of it?

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
68.73&100\\
12&p
\end{array}\implies \cfrac{68.73}{12}=\cfrac{100}{p}\implies p=\cfrac{12\cdot 100}{68.73}$

seems Audryn is being generous, she probably got the silverware and the maple leaves tablecloth.

4 0

4 years ago

Find the sum. Write your answer in standard form.<br> (7x +13) + (x3 + 4x2 – 8)

mel-nik [20]

Answer:

. Simplify: (4x2 - 2x) - (-5x2 - 8x).

Solution:

(4x2 - 2x) - (-5x2 - 8x)

= 4x2 - 2x + 5x2 + 8x.

= 4x2 + 5x2 - 2x + 8x.

= 9x2 + 6x.

= 3x(3x + 2).

Answer: 3x(3x + 2) Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

21.(03.02)<br> If f(x) = 7x – 1, what does f(12) represent?

Mnenie [13.5K]

Answer:

Step-by-step explanation:

f(x) = 7x - 1

Put x as 12.

f(12) = 7(12) - 1

f(12) = 84 - 1

f(12) = 83

3 0

3 years ago