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3 years ago

Solve by completing the square! (will give brainlist for work).n ^ 2 + n - 30 = 0

Mathematics

1 answer:

Masja [62]3 years ago

8 0

Answer:

n = 5, -6

Step-by-step explanation:

Ur welcome

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The smaller of two consecutive even integers is two more than half of the greater. find the two integers.

lana [24]

Greetings and Happy Holidays!

Let x represent the smaller, even integer.
Let (x+2) represent the larger, even integer.

We can create an algebraic equation to solve for the numbers:
$x=\frac{(x+2)}{2}+2$

Simplify:
$x=\frac{1}{2}x+1+2$

$x=\frac{1}{2}x+3$

Add $\frac{-1}{2}x$ to both sides:
$(x)+(\frac{-1}{2}x)=(\frac{1}{2}x+3)+(\frac{-1}{2}x)$

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

Divide both sides by $\frac{1}{2}x$
$\frac{\frac{1}{2}x}{ \frac{1}{2}}=\frac{3}{\frac{1}{2}}$

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

$x=\frac{6}{1}$

The Answer Is:
$\boxed{x=6}$
and
$x+2=6$
$\boxed{x=8}$

The two consecutive even integers are 6 and 8.

I hope this helped!
-Benjamin

8 0

3 years ago

15 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!

dem82 [27]

Answer:

The given expression is

$3 + (\frac{(2+8)2}{4} \times(\frac{1}{2} )^4)= \hspace{0.3cm}3 +( \frac{10 \times 2}{4}\times \frac{1}{2^4} ) \hspace{0.3cm} = \hspace{0.2cm} 3 + ( \frac{5}{16})$ = 3.3125

Step-by-step explanation:

The given expression is

$3 + (\frac{(2+8)2}{4} \times(\frac{1}{2} )^4)= \hspace{0.3cm}3 +( \frac{10 \times 2}{4}\times \frac{1}{2^4} ) \hspace{0.3cm} = \hspace{0.2cm} 3 + ( \frac{5}{16})$ = 3.3125

4 0

3 years ago

Read 2 more answers

pe Ling need 2yard of fabric for a craft project.she has 3 feet already.How many inches of fabric does she still need

olganol [36]

She still needs 36 inches of fabric (Also meaning 1 foot)

8 0

3 years ago

Read 2 more answers

A rectangle is 21 meters long and 11 meters wide. what is the perimeter of this rectangle?

Kipish [7]

Step-by-step explanation:

the perimeter is simply the distance you would have to walk when going around the whole object once.

so, you would go a length, a width, another length and another width, until you are finally arriving back at the starting point.

so, the perimeter of a rectangle is

2×length + 2×width = 2×21 × 2×11 = 42 + 22 = 64 m

4 0

2 years ago

A flagpole that was originally 24 feet tall has cracked 9 feet from the ground and has fallen as if hinged. Find

Dimas [21]

The top of the flag pole touched the ground 12 feet from the base.

Since it cracked 9 feet from the base, 9 is the vertical leg of the right triangle formed. The rest of the flagpole, 24-9=15, is the hypotenuse, as it is slanted down to the ground. The missing side is the horizontal leg, which we will call b:

9²+b²=15²
81+b²=225

Subtract 81 from both sides:
81+b²-81=225-81
b²=144

Take the square root of both sides:
√b²=√144
b=12

8 0

3 years ago