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belka [17]
3 years ago
5

If a number is increased by its square, the result is 72 find the number

Mathematics
1 answer:
gregori [183]3 years ago
8 0
Translating into a mathematical equation:

n + n^2 = 72

Rewriting,    n^2 + n - 72 = 0
Factoring,    (n+9)(n-8) = 0
Solving for n:  n = -9 or n = 8

You must check both answers before accepting one, the other or both.

Example:  suppose we check out n = 8.  Then  8 + 8^2 = 72 is true, and n = 8 is a solution.  Is n = -9 a solution?  Try it.
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The base of an isosceles triangle is 7 cm longer than the legs. Find the legs if the perimeter of the triangle is 43 cm.
Archy [21]
An isosceles triangle is a triangle that has one pair of equal sides. The Formula in finding the perimeter of a triangle is PΔ=S₁+S₂+S₃. Since two legs are missing, and the given are the base and perimeter, we will use the formula : S₁+S₂ = PΔ-S₃, where: S₁+S₂ are the legs and <span>S₃ is the base.
Substitute values:
</span><span>S₁+S₂ = 43cm - 7 cm
</span>          = 36 cm
since S₁ and S₂ are equal, divide 36cm by 2. Therefore S₁ and <span>S₂ measures 18cm.
Check: </span><span>PΔ=S₁+S₂+S₃
</span><span>                 = 18cm + 18 cm + 7cm
                 = 43cm

</span>
8 0
3 years ago
Read 2 more answers
So I need help pls show ur work
Ad libitum [116K]

Answer:

x = – ⅓

Step-by-step explanation:

The solution to the expression can be obtained as follow:

–3.1x + 7 – 7.4x = 1.5x – 6(x – 3/2)

Clear bracket

–3.1x + 7 – 7.4x = 1.5x – 6x + 9

–3.1x – 7.4x + 7 = –4.5x + 9

–10.5x + 7 = –4.5x + 9

Collect like terms

–10.5x + 4.5x = 9 – 7

–6x = 2

Divide both side by –6

x = 2 / –6

x = – ⅓

Thus, the solution to the equation is –⅓

7 0
3 years ago
A particular fruit's weights are normally distributed, with a mean of 406 grams and a standard deviation of 27 grams.The heavies
Tom [10]

Given

mean of 406 grams and a standard deviation of 27 grams.

Find

The heaviest 14% of fruits weigh more than how many grams?

Explanation

given

mean = 406 gms

standard deviation = 27 gms

using standard normal table ,

\begin{gathered} P(Z>z)=14\% \\ 1-P(Zso , [tex]\begin{gathered} x=z\times\sigma+\mu \\ x=1.08\times27+406 \\ x=435.16 \end{gathered}

Final Answer

Therefore , The heaviest 14% of fruits weigh more than 435.16 gms

8 0
1 year ago
Geometry math question no Guessing and Please show work thank you
vesna_86 [32]

First let us find the length of JN

JN =JK +KN

JN = 82+105 = 187

JN=187..............(1)

UC= JN -( JH +HU+CN)

We are given :

JH= 22, HU = 96 and CN = 51

plugging all the values we get

UC = 187-( 22+96+51)

UC =187 -169

UC = 18

Answer is UC =18 ( option B)

8 0
3 years ago
One of Newton’s laws of motion states that objects in motion tend to stay in motion. What is the reason that this law may not al
Nastasia [14]

The answer is D.

The full specification of Newton's First Law is (from Wikipedia)

In an inertial frame of reference, an object either remains at rest or continues to move at a constant velocity, unless acted upon by a force.

On earth we're generally in slightly a non-inertial frame, with rotation and revolution around the sun. It's also impossible to turn of gravity, so objects are being acted upon by an outside force. Typically there's also the outside force of friction, which makes things tend to stop.




4 0
2 years ago
Read 2 more answers
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