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2 years ago

Consider the following prisms, whose bases are both squares.

Mathematics

2 answers:

Alexxx [7]2 years ago

7 0

Answer:

She did not establish that heights are the same.

Step-by-step explanation:

I just answered it.

kirill [66]2 years ago

5 0

Answer: She did not establish that heights are the same.

Step-by-step explanation: Khan Academy

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3 years ago

What is the solution to the following equation? x2 + 3x + 4 = 0

andreev551 [17]

Answer:

$x=\dfrac{-3\pm \sqrt7i}{2}$

Step-by-step explanation:

The given equation is $x^{2}+3x+4=0$ .

We need to find the solution of the above equation.

The solution of an equation $ax^2+bx+c=0$ is :

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

We have, a = 1, b = 3 and c = 4

$x=\dfrac{-3+ \sqrt{(3)^2-4(1)(4)} }{2}, \dfrac{-3- \sqrt{(3)^2-4(1)(4)} }{2}\\\\=\dfrac{-3+\sqrt{9-16}}{2}, \dfrac{-3-\sqrt{9-16}}{2}\\\\=\dfrac{-3\pm \sqrt7i}{2}$

So, the solution of the given equation is $\dfrac{-3\pm \sqrt7i}{2}$ .

5 0

3 years ago

Caitlin has $5 and $10 bills that are worth $675. She has twice as many $10 bills as $5 bills. How many of each type of bill doe

Lerok [7]

Caitlin has 27 $5 bills and 54 $10 bills.

Step-by-step explanation:

Given,

Worth of $5 and $10 bills = $675

Let,

Number of $5 bills = x

Number of $10 bills = y

According to given statement;

5x+10y=675 Eqn 1

She has twice as many $10 bills as $5 bills.

y=2x Eqn 2

Putting value of y from Eqn 2 in Eqn 1

$5x+10(2x)=675\\5x+20x=675\\25x=675$

Dividing both sides by 25

$\frac{25x}{25}=\frac{675}{25}\\x=27$

Putting x=27 in Eqn 2

$y=2(27)\\y=54$

Caitlin has 27 $5 bills and 54 $10 bills.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

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3 years ago