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Goshia [24]
3 years ago
15

1.what is the estimate weight if a mouse ?

Mathematics
1 answer:
GrogVix [38]3 years ago
5 0

Answer:

4:40 more ml

Step-by-step explanation:

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The quadratic equation 8x²+12x-14 has two real roots. What is the sum of the squares of these roots?
mars1129 [50]

Answer:

The real roots are

x=\frac{(-3+\sqrt{37})}{4} and x=\frac{(-3-\sqrt{37})}{4}

The sum of the squares of these roots is \frac{-3}{2}

Step-by-step explanation:

The given quadratic equation is 8x^2+12x-14 has two real roots.

To find the roots .

8x^2+12x-14=0

Dividing the above equation by 2

\frac{1}{2}(8x^2+12x-14)=\frac{0}{2}

4x^2+6x-7=0

For quadratic equation ax^2+bx+c=0 the solution is x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Where a and b are coefficents of x^2 and x respectively, c is a constant.

For given quadratic equation

a=4, b=6, c=-7

x=\frac{-6\pm\sqrt{6^2-4(4)(-7)}}{2(4)}

=\frac{-6\pm\sqrt{36+112}}{8}

=\frac{-6\pm\sqrt{148}}{8}

=\frac{-6\pm\sqrt{37\times 4}}{8}

=\frac{-6\pm\sqrt{37}\times\sqrt{4}}{8}

=\frac{-6\pm\sqrt{37}\times 2}{8}

=2\frac{(-3\pm\sqrt{37})}{8}

=\frac{-3\pm\sqrt{37}}{4}

x=\frac{(-3\pm\sqrt{37})}{4}

The real roots are

x=\frac{(-3+\sqrt{37})}{4} and x=\frac{(-3-\sqrt{37})}{4}

Now to find the sum of the squares of these roots

\left[\frac{-3+\sqrt{37}}{4}+\frac{(-3-\sqrt{37})}{4}\right]^2=\frac{-3+\sqrt{37}-3-\sqrt{37}}{4}

=\frac{-6}{4}

=\frac{-3}{2}

\left[\frac{-3+\sqrt{37}}{4}+\frac{(-3-\sqrt{37})}{4}\right]^2=\frac{-3}{2}

Therefore the sum of the squares of these roots is \frac{-3}{2}

3 0
3 years ago
What is the area of the triangle at the right?
Pani-rosa [81]

Answer:

13.16

Step-by-step explanation:

formula= (absin∅)/2

= (4×9×sin47)/2

= 13.16

7 0
3 years ago
PLEASE HELP I HAVE 3 MINS LEFT FAST!!!! ILL MARK BRAINLIEST!!!
GenaCL600 [577]
A-1500
B-1500
C-1500+1500=3000
7 0
3 years ago
When you multiply a number by 1\4, the result is?
Mrac [35]

if you multiply something by 1/2, the product is half of that something.

if you multiply b by 1/x, the product is one x of b.

if you multiply anything by 1/4, the product is one quarter of anything.

4 0
3 years ago
The path of a launched missile can be modeled by a quadratic function. Explain how you would use the function to determine the g
abruzzese [7]

Step-by-step explanation:

For a quadratic y = ax² + bx + c, where y is the height and x is horizontal distance, the highest point is at x = -b / (2a).  The horizontal distance it travels before landing is the x-intercept.

5 0
3 years ago
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