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3 years ago

Plz help me!!!!!!!!!!!!

Mathematics

1 answer:

Mashutka [201]3 years ago

7 0

Answer: 3, -3, 3i, -3i

Step-by-step explanation:

$x^4-81=0\\\\Factor:\\(x^2-9)(x^2+9)=0\\(x-3)(x+3)(x^2+9)=0\\\\\text{Apply the Zero Product Property:}\\x-3=0\qquad x+3=0\qquad x^2+9=0\\\boxed{x=3}\qquad \qquad \boxed{x=-3}\qquad \quad x^2=-9\\.\qquad \qquad \qquad \qquad \qquad \qquad x=\sqrt{-9}\\.\qquad \qquad \qquad \qquad \qquad \qquad \boxed{x=\pm 3i}$

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Solve the system of equations. 2x + 2y = -16 y = -x -8

Ratling [72]

Answer:
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3 years ago

Last year the backgammon club had 30 members this year the club has 24 members find the percent of decrease of members

olchik [2.2K]

Answer:

Percent Decrease = 20% Decrease

Step-by-step explanation:

To find percentage decrease, we will use a simple formula shown below:

Percentage Decrease/Increase = $\frac{New-Old}{Old}*100$

Where

New is the latest number of members (which is 24)

Old is the initial number of members (which is 30)

Note: the multiplication by a factor of "100" brings the answer to a percentage.

Now, lets substitute the numbers and figure out the percentage decrease:

$\frac{New-Old}{Old}*100\\\frac{24-30}{30}*100\\\frac{-6}{30}*100\\-0.2*100\\-20$

So, it comes to -20, which is a decrease of 20%

7 0

3 years ago

Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and sin ∠X = 5 over 5 and 59 hundredths.

Vikentia [17]

The relationship between Traingle XYZ and ACB is that they are similar triangles. tanX = tanA = 5 over 2 and 5 tenths, where

AC = 2 x XY
CB = 2 x YZ

<h3>What is the dilation about?</h3>

Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB, hence XYZ and ACB are similar triangles.

Angles Y and C are said to measure 90 degrees, and angles A and X are known to be congruent. Thus:

tanX = tanA = 5 over 2 and 5 tenths

AC = 2 x XY

CB = 2 x YZ

Another way to solve for it is by:

Note that Dilation of the triangle ΔXYZ was by a factor of "2".

Since m∠Y = m∠C = 90º - given

ΔXYZ and ΔACB are said to be right triangles.

Since ∠X ≅ ∠A - given

Then ∠X and ∠Z are said to becomplementary angles

Since m∠Z = 90° - m∠X -- given

Then ∠A and ∠B are said to be complementary angles

Since m∠B = 90° - m∠A --- given

Then, ∠Z ≅ ∠B

Therefore ΔXYZ ∼ ΔACB are similar triangles because it has its corresponding sides to be proportional and its corresponding angles to be congruent.

Note:

sin ∠X = 5/5.59

sin ∠X = YZ/XY

YZ = 5 seen in ΔXYZ

XZ = 5.59 seen in hypotenuse of ΔXYZ

Then one need to Calculate the length of one aspect of XY:

XY = √((5.59)2 - 52)

= 2.4996

Note CB/YZ = 2

CD = 2*YZ = 2 x 5

= 10

AC/XY = 2

AC = 2* XY

= 2 x 2.4996

= 4.999

Learn more about dilation from:

brainly.com/question/27517432

#SPJ1

7 0

2 years ago

Can someone please help me??? I forgot how to do this :(

schepotkina [342]

Answer:

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3 years ago

Please help ..........................

Alenkinab [10]

Answer:

9/2

Step-by-step explanation:

perpendicular lines have slopes that are opposite and reciprocal

the reciprocal of -2/9 is 9/2

7 0

2 years ago