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4 years ago

6–[(−3)+(−7)]–[(−1)–(−5)–(−8)]

Mathematics

1 answer:

DaniilM [7]4 years ago

8 0

Answer:

Step-by-step explanation:

Just plug it into the calculator.

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Show that (4p^2-3q)^2+48p^2q =(4p^2+3q^2)

Brut [27]

Given:

The statement is

$(4p^2-3q)^2+48p^2q=(4p^2+3q^2)$

To prove:

The given statement.

Solution:

We have,

$(4p^2-3q)^2+48p^2q=(4p^2+3q^2)$

Now,

$LHS=(4p^2-3q)^2+48p^2q$

Using $(a-b)^2=a^2+b^2-2ab$ , we get

$LHS=(4p^2)^2+(3q)^2-2(4p^2)(3q)+48p^2q$

$LHS=(4p^2)^2+(3q)^2-24p^2q+48p^2q$

$LHS=(4p^2)^2+(3q)^2+24p^2q$

It can be rewritten as

$LHS=(4p^2)^2+(3q)^2+2(4p^2)(3q)$

Using $(a+b)^2=a^2+b^2+2ab$ , we get

$LHS=(4p^2+3q^2)$

$LHS=RHS$

Hence proved.

5 0

3 years ago

Create the equation of a line that perpendicular to 2y=14+2/3x and passes through the point (-2,8).

riadik2000 [5.3K]

Answer:

y = - 3x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 2y = 14 + $\frac{2}{3}$ x into this form

Divide all terms by 2

y = 7 + $\frac{1}{3}$ x ← in slope- intercept form

with slope m = $\frac{1}{3}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{\frac{1}{3} }$ = - 3, hence

y = - 3x + c ← is the partial equation of the perpendicular line

To find c substitute (- 2, 8) into the partial equation

8 = 6 + c ⇒ c = 8 - 6 = 2

y = - 3x + 2 ← equation of perpendicular line

4 0

3 years ago

Which is an integer that can be inserted on the blank line in the list?<br>

vladimir1956 [14]

The answer is -1 because the other numbers are greater than -1.5

8 0

3 years ago

Help miii plzzzz pretty please wit a cheer on top

const2013 [10]

Answer:

14 + 5 $\sqrt{3}$

a = 14, b = 5, c = 3

Step-by-step explanation:

Multiply the brackets out:

$(2\sqrt{3} )(3\sqrt{3} ) = (2)(3)(\sqrt{3})(\sqrt{3}) = (6)(3) = 18$

$(2\sqrt{3} -1)(4+3\sqrt{3} ) = 8\sqrt{3} +18 - 4 - 3\sqrt{3}$

$= 14 + 5\sqrt{3}$

5 0

3 years ago

Lowkey forgot how to do this so I’m stuck._.

expeople1 [14]

Answer:

113.04

Step-by-step explanation:

area is πr², so 3.14·6²·3.14 = 113.04

3 0

3 years ago

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