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3 years ago

ΔDEF is a dilation of ΔABC.

Mathematics

1 answer:

leonid [27]3 years ago

3 0

Answer:It is 8:)

Step-by-step explanation:

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What are the roots of 3x2 + 10 = 4x?

sveticcg [70]

Answer:

Option C is correct.

roots of the given equation , $x =\frac{2\pm i\sqrt{26}}{3}$

Step-by-step explanation:

Given the equation: $3x^2+10 = 4x$

We can write this equation as:

$3x^2-4x + 10 =0$

A quadratic equation is in the form of $ax^2+bx+c =0$ ......[1] where a,b ,c are the coefficient and x is the variable,

the solution of the equation is given by;

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

On comparing given equation with equation [1] we get;

a = 3 , b = -4 and c =10

So, the solution of the given equation is given by;

$x = \frac{-(-4)\pm\sqrt{(-4)^2-4(3)(10)}}{2(3)}$

$x = \frac{4\pm\sqrt{(16-120}}{6} = \frac{4\pm\sqrt{(-104)}}{6} = \frac{4\pm\sqrt{(-4 \times 26)}}{6}$

$x =\frac{4\pm2 \sqrt{(-26)}}{6} = \frac{4\pm2 i\sqrt{26}}{6}$ [∴ $\sqrt{-1} = i$

Simplify:

$x =\frac{2\pm i\sqrt{26}}{3}$

therefore, the roots of the given equation are; $x =\frac{2\pm i\sqrt{26}}{3}$

5 0

3 years ago

Read 2 more answers

What is 467% changed to a fraction?

garik1379 [7]

First of all, you must turn it into a decimal. To turn into a decimal, you divide by 100.

467÷100=4.67

You put aside the 4 and multiply .67 by 100

4.67= $4 \frac{67}{100}$ as a whole number.

If you want an improper fraction, multiply 100 by 4 and add 67= $\frac{467}{100}$ which is where you started from.

8 0

4 years ago

Read 2 more answers

I need help if you get it right I will mark you

DanielleElmas [232]

Answer:

Step-by-step explanation:

triangle - 6 x 4 = 24 24 divided by 2 = 12

rectangle - 10 x 6 = 60

semi circle - area of circle = pi r^2 28 divided by 2 = 14

12 + 60 + 14 = 86

7 0