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3 years ago

What's the answer to both when simplifying the two radical expression?

Mathematics

1 answer:

OlgaM077 [116]3 years ago

7 0

$( \sqrt{x} +2 \sqrt{5})*( \sqrt{x} -2 \sqrt{5}) = \\ \\ ( \sqrt{x})^2- (\sqrt{x} *2 \sqrt{5})+(2 \sqrt{5}* \sqrt{x}) -(2 \sqrt{5})^2 = \\ \\ x- 2\sqrt{5} \sqrt{x}+2 \sqrt{5} \sqrt{x} -(4*5)= \\ \\ x -(4*5)= \boxed{x-20} \\ \\$

$( \sqrt{x}+ \sqrt{5}) ^2= \\ \\ ( \sqrt{x})^2+2* \sqrt{x}* \sqrt{5} + (\sqrt{5}) ^2= \\ \\ \boxed{ x +2 \sqrt{5x}+5}$

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Which expression is equivalent to 5x + 10 y - 15

klasskru [66]

The answer is the first one because you have to multiply the outsider five to the other numbers inside the parenthesis. You don't add them or subtract them because they don't have the same variable

5 0

3 years ago

If 75 people attend a concert and tickets for adults cost $2.75 while tickets for children cost $2.25 and

Serhud [2]

Answer:

Adult = 39

Children = 36

Step-by-step explanation:

The total number of people = 75

Cost of adult ticket = $2.75

Cost of children ticket = $2.25

Total receipts = $188.25

Let the number of adult = x

Let the number of children = y

X + y = 75 ......equation (i)

(X × 2.75) + (y × 2.25) = 188.25

2.75x + 2.25y = 188.25.......equation (ii)

To find the numbe of adult and children that attended, we'll have to solve equation (i) and (ii) simultaneously.

From equation 1,

X + y = 75

X = 75 - y......equation(iii)

Put equation (iii) into equation (ii)

2.75*(75 - y) + 2.25y = 188.25

206.25 - 2.75y + 2.25y = 188.25

206.25 - 0.5y = 188.25

Collect liketerms

0.5y = 206.25 - 188.25

0.5y = 18

Y = 18 / 0.5

Y = 36

Put y = 36 into equation (i)

X + 36 = 75

X = 39

Therefore the number of adult is 39 while that of children is 36.

4 0

4 years ago

What is the vertex of the graph of #y=x^2+3x-4#?

borishaifa [10]

To find the x value of the vertex we do:

x = $\frac{-b}{2a}$
if your quadratic function is in the form ax² + bx + c = y

x = $\frac{-3}{2(1)}$
x = $\frac{-3}{2}$

Now we plug this x into the equation and solve for y.

y = $(\frac{-3}{2}) ^{2} + 3( \frac{-3}{2} ) + 4$
y = $\frac{9}{4} - \frac{9}{2} + 4$
y = $\frac{9}{4} - \frac{18}{4} + 4$
y = $\frac{-9}{4} + 4$
y = $\frac{-9}{4} + \frac{16}{4}$
y = $\frac{7}{4}$

Your vertex (if my math is correct) is at $( \frac{-3}{2}, \frac{7}{4} )$

8 0

3 years ago

Simplify 6/10 + 8.75?

PilotLPTM [1.2K]

First do 6 divided by 10

then add 8.75 to that

6 0

4 years ago

Read 2 more answers

Se sabe que el septimo termino de una progresion geometrica es 3 ya la razon es 1/2. Se desea saber cual es el valor del primer

AfilCa [17]

Respuesta:

192

Explicación paso a paso:

aₙ = a₁*rⁿ⁻¹

Hallando termino 1

a₇ = 3

r = 1/2

a₁ = ?

a₁ = aₙ / rⁿ⁻¹

a₁ = 3 / (1/2)⁷⁻¹

a₁ = 192

Verificación;

n aₙ

1 192

2 96

3 48

4 24

5 12

6 6

7 3 ✔

7 0

3 years ago