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2 years ago

Factor completly. do not answer if you dont know it please!! ill give u brainliest

Mathematics

2 answers:

mariarad [96]2 years ago

3 0

Answer:

(2x+1)(2x−1)

Step-by-step explanation:

4x^2−1

(2x+1)(2x−1)

Alinara [238K]2 years ago

3 0

Answer:

Since both terms are perfect squares, factor using the difference of squares formula, a-b with the little 2 ontop=(a+b) where a= 2x and b= 1. (2x+1)(2x-1)

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ABCD- parallelogram, If the perimeter of Triangle CPQ is 15cm, Find the perimeter of triangle BAQ. Find the perimeter of triangl

melamori03 [73]

Answer:

The answer is below

Step-by-step explanation:

A parallelogram is a quadrilateral (has 4 sides and 4 angle) with two pair of parallel and opposite sides. Opposite sides of a parallelogram are parallel and equal.

Given parallelogram ABCD:

AB = CD = 18 cm; BC = AD = 8 cm

∠P = ∠P, ∠PDA = ∠PCQ (corresponding angles are equal).

Hence ΔPCQ and ΔPDA are similar by angle-angle similarity theorem. For similar triangles, the ratio of their corresponding sides equal. Therefore:

$\frac{CD}{PC}= \frac{AD}{CQ}\\\\\frac{18}{6}=\frac{8}{x} \\\\x=\frac{6*8}{18}=\frac{8}{3}\ cm$

Perimeter of CPQ = CP + CQ + PQ

15 = 6 + 8/3 + PQ

PQ = 15 - (6 + 8/3)

PQ = 6.33

∠CQP = ∠AQB (vertical angles), ∠QCP = ∠QBA (alternate angles are equal).

Hence ΔCPQ and ΔABQ are similar by angle-angle similarity theorem

$\frac{AQ}{QP}=\frac{AB}{CP} \\\\\frac{AQ}{6.33} =\frac{18}{6} \\\\AQ=\frac{18}{6}*6.33\\\\AQ = 19$

$\frac{BQ}{CQ}=\frac{AB}{CP} \\\\\frac{BQ}{8/3} =\frac{18}{6} \\\\BQ=\frac{18}{6}*\frac{8}{3} \\\\BQ =8$

Perimeter of BAQ = AB + BQ + AQ = 18 + 8 + 19 = 45cm

PA = AQ + PQ = 19 + 6.33 = 25.33

PD = CD + DP = 18 + 6 = 24

Perimeter of PDA = PA + PD + AD = 24 + 25.33 + 8 = 57.33 cm

7 0

2 years ago

Find the first, fourth, and eighth terms of the sequence. A(n) = −3 ∙ 2^x − 1

Sedbober [7]

$\bf A(n)=-3\cdot 2^{n-1}\\\\
-------------------------------\\\\
\textit{first one}\qquad A(1)=-3\cdot 2^{1-1}
\\\\\\
\textit{fourth one}\qquad A(4)=-3\cdot 2^{4-1}
\\\\\\
\textit{eighth one}\qquad A(8)=-3\cdot 2^{8-1}$

8 0

2 years ago

Please answer & explain this

sdas [7]

Parallel lines have the same slope.

To compare the slopes of two different lines, you have to get
both equations into the form of
y = 'm' x + (a number) .

In that form, the 'm' is the slope of the line.
Notice that it's the number next to the 'x' .

The equation given in the question is    y = 3 - 2 x .
Right away, they've done something to confuse you.
You always expect the 'x' term to be right after the 'equals' sign,
but here, they put it at the end. The slope of this line is the -2 .

Go through the choices, one at a time.
Look for another one with a slope of -2 .
Remember, rearrange the equation to read ' y = everything else ',
and then the slope is the number next to the 'x'.

Choice #4: y = 4x - 2 . The slope is 4 . That's not it.

Choice #3: y = 3 - 4x . The slope is -4 . That's not it.

Choice #2).   2x + 4y = 1

Subtract 2x from each side: 4y = 1 - 2x

Divide each side by 4 : y = 1/4 - 1/2 x .

   The slope is -1/2. That's not it.

Choice #1).   4x + 2y = 5

Subtract 4x from each side: 2y = 5 - 4x

Divide each side by 2 :    y = 5/2 - 2 x .

   The slope is -2 .
   This one is it.
This one is parallel to y = 3 - 2x ,
   because they have the same slope.

4 0

2 years ago

Miss Stoner purchase a new computer for $1,150 at the Apple store if sales tax is 7.5% what is the total of her purchase

Thepotemich [5.8K]

Answer:

$1236.25

Step-by-step explanation:

We can convert the percentage to 0.075 to make it easier. Then, multiply 1150 by 1.075 to get 1236.25. We add the one because we need to include the initial $1150.

4 0

2 years ago

Please Help I will reward Brainliest

Alla [95]

The ones that match are
1 and 5
2 and 6
7 and 3
8 and 4

5 0

2 years ago