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ludmilkaskok [199]
3 years ago
15

Perform the multiplication or division and simplify. (30 points)

Mathematics
1 answer:
jekas [21]3 years ago
5 0
Combine fractions by finding common denominator
Ans: 8x+7y/7x-8y
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Find the midpoint of the line segment with end coordinates of: (-2, -4) and (2, -10)
kvasek [131]

Answer:

(0,-7)

Step-by-step explanation:

if you need to plot a coordinate you should put them into desmos

7 0
2 years ago
Simplify to create an equivalent expression. \qquad{2(3y+6)-3(-4-y)}2(3y+6)−3(−4−y)
maw [93]

Answer:

  54y² +255y +300

Step-by-step explanation:

Such an expression is simplified by eliminating parentheses and combining like terms.

<h3>Eliminate parentheses</h3>

Taking the given expression at face value, we have ...

  {2(3y+6)-3(-4-y)}2(3y+6)−3(−4−y)

  = {6y +12 +12 +3y}(6y +12) +12 +3y

  = (9y +24)(6y +12) +12 +3y

  = (9y)(6y +12) +24(6y +12) +12 +3y

  = 54y² +108y +144y +288 +12 +3y

<h3>Combine like terms</h3>

  = 54y² +(108 +144 +3)y +(288 +12)

  = 54y² +255y +300

8 0
2 years ago
When the sun's angle of elevation is 76°, a tree casts an 18-foot shadow on the ground. Find the length of the tree to the neare
Yanka [14]

Answer:

<u>56.5 ft</u>

Step-by-step explanation:

See the attached figure which represents the explanation of the problem.

We need to find the length of the tree to which is the length of AD

From the graph ∠BAC = 90° and ∠ABD = 76°, AB = 18 ft

At ΔABD:

∠BAD = ∠BAC - ∠DAC = 90° - 4° = 86°

∠ADB = 180° - ( ∠BAD + ∠ABD) = 180 - (86+76) = 180 - 162 = 18°

Apply the sine rule at ΔABD

∴\frac{AB}{SinD} =\frac{AD}{sinB}

∴ 18/sin 18 = AD/sin 76

∴ AD = 18 * (sin 76)/(sin 18) ≈ 56.5 (to the nearest tenth of a foot)

So, The length of the tree = 56.5 ft.

<u>The answer is 56.5 ft</u>

3 0
2 years ago
14. How many numbers multiples of 3 are in the interval [50, 2019]? *
joja [24]
658 the even number shouldn’t be the final of it
7 0
3 years ago
Read 2 more answers
Look at the sceenshot-- help??
Burka [1]
The answer is: 3.
_________________
In the table, the relation (x, y) is not a function is the "missing value" of "x" is: 3.
_______________________________________
Explanation: We are given that the ordered pair: "(3,10)" exists.  In other words, when x = 3, y =10. 
______________________________________
The "missing value" refers to the "empty box" in the table shown (in the attached screenshot).  The "empty box" shows a "y-coordinate" of "20"; but a "missing" corresponding "x-coordinate".
____________________________________
The problem asks: 
_________________
In the table, the relation (x, y) is not a function is the "missing value" of "x" is: ____?
___________________
The answer is: 3.
_______________________
We know the answer is "3"; because we know that "3" already has 1 (one) corresponding y-coordinate.

By definition, a "function" cannot have ANY "x-coordinates" that have more than one "corresponding y-coordinate".   As such:
_______________________________________
In the table, the relation (x, y) is not a function is the "missing value" of "x" is:
____________
3.
____________
Additional information:
____________
When examining an equation on an actual graph, we can use what is called the "vertical line test".  That is, one can take a pencil and vertically go through the "y-axis", or even examine it visually, to see if there are any "x-values" that have more than one corresponding "y-coordinate".
   If no, then it "passes" the "vertical line test" and is a "function".  
If not, then it does NOT pass the "vertical line test" and is NOT a function.
__________________________________________
4 0
3 years ago
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