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Allisa [31]
3 years ago
6

In the rectangle below, AChas a length of 32 units. What is the length of DE?

Mathematics
1 answer:
kvasek [131]3 years ago
6 0
D is the answer for the question
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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)}

or

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

or

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
A cross-country skier traveled at a rate of 40 miles per hour on downhills and 20 miles per hour on flat terrain while skiing a
Sholpan [36]
Your answer would be 80 miles.
Hoped this helped!
Please put brainless answer, 1 away from getting goal of 5!
3 0
4 years ago
Read 2 more answers
PLEASE HELP ITS PROBABILITY PICTURE ABOVE
svetoff [14.1K]

Answer: 2/5 = 0.4 = 40%

Step-by-step explanation:

Each sector has an equal area, so each sector has an equal chance of being landed on. There are two shaded sectors and 5 total, so there is a 2 out of 5 chance that the spinner will land on a shaded one.

3 0
3 years ago
Can someone help me #11 PLEASE SHOW YOUR WORK
damaskus [11]
Since the triangle is equilateral, QR = RS = QS.
a. MS = (1/2)74
    MS = 37
b. Half of the equilateral triangle makes a right triangle. Use Pythagorean Theorem to find QM. 
a^2 + b^2 = c^2
37^2 + b^2 = 74^2
1369 + b^2 = 5476
subtract 1369 from both sides
b^2 = 4107
take the square root if both sides
b = 64.1
QM = 64.1
5 0
4 years ago
Simplify: 3a²b + 5ab – 4ab + ab² + 8a²b
Lisa [10]

In order to simplify this expression, we need to add the like terms.

Like terms are terms that have the same variables to the same power.

So we have:

\begin{gathered} 3a^2b+5ab-4ab+ab^2+8a^2b \\ =(3a^2b+8a^2b)+(5ab-4ab)+ab^2 \\ =11a^2b+ab+ab^2 \end{gathered}

Therefore the correct option is the fourth one.

8 0
1 year ago
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