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Mrac [35]
3 years ago
5

What are the solutions to the following system?

Mathematics
2 answers:
RoseWind [281]3 years ago
7 0
\bf \begin{cases}
-2x^2+y=-5\\
\boxed{y}=-3x^2+5\\
----------\\
-2x^2+\left( \boxed{-3x^2+5} \right)=-5
\end{cases}
\\\\\\
-5x^2+5=-5\implies -5(x^2-1)=-5\implies x^2-1=\cfrac{-5}{-5}
\\\\\\
x^2-1=1\implies x^2=2\implies x=\pm\sqrt{2}

and since we know what "x" is, then let's substitute it on say the 1st equation

\bf -2x^2+y=-5\implies -2\left( \pm \sqrt{2} \right)^2+y=-5\implies -4+y=-5
\\\\\\
y=-1\\\\
-------------------------------\\\\
\left( \sqrt{2}~,~-1 \right)\qquad \left( -\sqrt{2}~,~-1 \right)
NeX [460]3 years ago
6 0

Answer:

C

Step-by-step explanation:

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Answer:

B) 0.99

Step-by-step explanation:

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3.14 x 0.2 =0.6

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3 0
3 years ago
Pluto is 5,560,000,000 years old. Estimate the age of Pluto by writing it in the form of x×10y years, where x and y are single-d
SashulF [63]

Answer:

The age of pluto is:

5,560,000,000 years old = 5.56 × 10⁹ years old

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Step-by-step explanation:

Pluto is 5,560,000,000 years old. Estimate the age of Pluto by writing it in the form of x×10y years, where x and y are single-digit numbers.

We write this in standard form or scientific notation.

5,560,000,000 years old = 5.56 × 10⁹ years old

x = 5.56

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4 0
3 years ago
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vitfil [10]
4^2 = 16
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32, Hope this helps!
4 0
3 years ago
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Which of the following statements is true?. . A.A tangent is never a secant.. B.A secant is always a chord.. C.A chord is always
skelet666 [1.2K]

The <em>correct answer</em> is:

A) A tangent is never a secant.

Explanation:

A tangent is a line that touches a circle in exactly one point. A secant is a line that touches a circle in two different points.

Since a tangent only touches once and a secant touches twice, there is no way a tangent can be a secant.

3 0
3 years ago
Please HELP!!!!
dedylja [7]
Absolute value equations have more than one solution because when the answer is in abs. value, it is positive, so there could be a negative answer and it would still be positive. For example |-5|=5 and |5|=5 as well. 
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8 0
4 years ago
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