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maria [59]
3 years ago
9

Help me please How many solutions does the equation x -4 = 12 - 2x have? Explain. - ? .

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
8 0

Answer: <em>one solution.</em>

Step-by-step explanation:

\dfrac{2}{3} x-4=12-2x\\\\\dfrac{2}{3} x+2x=12+4\\\\2\dfrac{2}{3} x=16\\\\\dfrac{8}{3} x=16\\\\8x=16 \cdot 3\\\\8x=48\\\\x=\dfrac{48}{8} =6

<em>This equation has one solution:  x = 6.</em>

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The width of a rectangle is 7 meters greater than its length. If the area of the rectangle is 170 square meters, write the quadr
Luden [163]
It would be (x)(x+7)=170
If you want it solved, then you would get:
x^{2} +7x-170=0
(x+17)(x-10)=0
And since you can't have a negative length (-17), x=10
So your side lengths would be 10 and 17 (10+7), which would give you an area of 170.
Hope that helps.
8 0
3 years ago
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What is the measure of ∠P, to the nearest degree?<br><br> 24°<br><br> 42°<br><br> 55°<br><br> 101°
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I used cosine law and I got : 55°
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3 years ago
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If the radius of the Cicular ground is 6m<br>find, the area of ground #plz help​
Fed [463]

Answer:

113.142857 m²

Step-by-step explanation:

As per the provide information in the given question, we have :

  • Radius of the circular ground = 6 m

We are asked to find the area of the ground.

Since, it is in the shape of circle, so we'll apply here the formula to find the area of the circular ground.

We know that,

>> Area of circle = πr

>> Area of the ground = \sf \dfrac{22}{7} × 6 m × 6 m

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\therefore <u>Therefore</u><u>,</u><u> </u><u>area</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>ground</u><u> </u><u>is</u><u> </u><u>113.142857 m²</u><u>.</u><u> </u>

3 0
3 years ago
Find the missing length the triangles are similar.
ch4aika [34]

Answer:

Step-by-step explanation:

The missing length is 13 because,

Lets say the top triangle is A and the bottom triangle is B.

Triangle A gives us the side GF, and Triangle B gives us the sides TU and ST. Since the triangles are similar(as stated in the problem), we can pair 2 sides GF(A) and TU(B) which is 11:22.(one way I usually figure which sides are similar is by first- matching the hypotenuse, then checking which of the remaining two is longer.. if that made any sense). You can see that their relationship is x2 or /2 (In another word, from A to B is multiplication- ex: 11 * 2 is 22, and from B to A is division- ex 22/2 is 11.) Since the missing number is the hypotenuse of triangle A and you know the Hypotenuse of triangle B all you have to do is divide side TS by 2 to get side SF. So the missing side is 13.

Answer: 13

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larisa86 [58]

Answer:

Choice 4 is the correct answer

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2 years ago
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