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Troyanec [42]
1 year ago
9

Find the length of AB given that DB is a median of the triangle AC is 46

Mathematics
1 answer:
slava [35]1 year ago
6 0

ANSWER:

The value of AB is 23

STEP-BY-STEP EXPLANATION:

We know that AB is part of AC, and that DB cuts into two equal parts (half) since it is a median, therefore the value of AB would be

\begin{gathered} AB=\frac{AC}{2} \\ AB=\frac{46}{2} \\ AB=23 \end{gathered}

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Answer:

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3 years ago
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Solve the inequality for x.<br> 7x-26&lt;-5(2-3x)
Masja [62]

Answer:

x > 2

Step-by-step explanation:

7x-26<-5(2-3x)

first write out the equation

7x-26<-10 +15x

then solve the -5(2-3x)

by multiplying -5 by 2 and -5 by 3x which will give the answer -10 and 15x

7x-15x<-10+26

Now put the numbers with X first and since we moved the (+15x) into the otherside we change its sign to (-15x)

and because we put the (-26) into the otherside we do the same thing and change it into (+26)

-8x<16

Now we combine the same numbers so 7x-15x and -10+26

Next we divide both sides by (-8)

so (-8x÷-8) and (16÷-8)

and because we divided with a negative number (-8)

and we have an inequality( < ) we flip the sign from smaller than to greater than.

and so the final answer is x>2

or x is greater than 2

7 0
3 years ago
A librarian has 274 return books. 50 of the books are reserved at her desk, and the remaining books need to be shelved. Each she
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3 0
3 years ago
PLEASE HELP !! BRAINLIEST AND 10 POINTS
Bumek [7]
POINT A I had the same question in my math class !!!
8 0
3 years ago
A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio
Basile [38]

Answer:

W_{max}=480m\\ L_{max}=160m

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, \implies 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

  • x_{max}=-b/2a
  • f(x)_{max}=f(x_{max})

Since our function is A(L)=640L-2L², we get

  • a=-2
  • b=640

plug in the value of a and b into the first formula:

L_{max}=-(640)/2(-2)\implies 160

A(L)_{max}=640(160)-2(160)^2\implies 76800

hence,the dimensions of the pen that will maximize the area are<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>

and we're done!

3 0
2 years ago
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