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3 years ago

What expression equals 1/2(2n+6)

Mathematics

2 answers:

Diano4ka-milaya [45]3 years ago

8 0

Answer:

A. -2(n-3)

Step-by-step explanation:

Rudik [331]3 years ago

5 0

Answer:

n+3

Step-by-step explanation:

1/2*2n=2n/2=n

1/2*6=6/2=3

n+3 :)

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The square of the sum of two numbers is 144 and the sum of of their square is 180, find the number... Please I really need the a

mr Goodwill [35]

Answer:

The numbers are either ±13.35 and ±1.35 or ±1.35 and ±13.3

Step-by-step explanation:

Let the two numbers be 'x' and 'y'.

Given:

The squares of the sum of two numbers = 144

The sum of their squares = 180

The sum of the numbers = $x+y$

The square of the sum of numbers = $(x+y)^2$

Square of first number = $x^2$

Square of second number = $y^2$

The sum of their squares = $x^2+y^2$

Now, as per question:

$(x+y)^2=144---(1)\\\\x^2+y^2=180---(2)$

Expanding equation (1) using the formula $(a+b)^2=a^2+b^2+2ab$

This gives,

$(x+y)^2=144\\\\x^2+y^2+2xy=144\\\\\textrm{Plug in the value of }x^2+y^2\textrm{ from equation (2)}\\\\180+2xy=144\\\\2xy=144-180\\\\2xy=-36\\\\xy=-\frac{36}{2}\\\\xy=-18\\\\y=-\frac{18}{x}---(3)$

Plug in the value of 'y' from equation (3) in equation (1). This gives,

$x^2+(-\frac{18}{x})^2=180\\\\x^2+\frac{324}{x^2}=180\\\\x^4+324=180x^2\\\\x^4-180x^2+324=0\\\\\textrm{On solving, we get:}\\\\x^2=178.2\ or\ x^2=1.8\\\\\textrm{Square root both sides, we get:}\\\\x=\pm13.35\ or\ x=\pm1.35$

Therefore,

$y=-\frac{18}{x}=-\frac{18}{\pm13.35} = \pm1.35\ or\\\\y=-\frac{18}{x}=-\frac{18}{\pm1.35}=\pm13.3$

Therefore, the numbers are either ±13.35 and ±1.35 or ±1.35 and ±13.3

6 0

3 years ago

What proportion results in the equation 9m=10n

Serhud [2]

Give the equation 9m = 10n

Dividing both sides by 9n, we have
$\frac{9m}{9n} = \frac{10n}{9n} \\ \\ \frac{m}{n} = \frac{10}{9}$

Therefore, the <span>proportion that results in the equation 9m = 10n is
$\frac{m}{n}=\frac{10}{9}$
</span>

4 0

3 years ago

Read 2 more answers

Help me please with numbers 1-8 I'm stuck!!

siniylev [52]

Hopefully this helps, and sorry I didn't do 8 I'm limited on time

5 0

3 years ago

Help plz I will give brainliest

HACTEHA [7]

Answer:

i think that it is C

Step-by-step explanation:

if im incorrect i apologize

5 0

3 years ago

What is the equation of the line in the graph below?

Furkat [3]

Answer:

y=1x+-3

Step-by-step explanation:

using rise over run we can see that we go up one from a point and over 1 from a point making our slope 1. then you you find the y-intercept and here that is very easy because we can clearly see the line pass through -3 on the y axis. the just substitute in your values to get y=1x+-3

3 0

3 years ago