The area of a rectangle is (81x2 − 4y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answer:

Where are the answers

Step-by-step explanation:

Answer:

AB = 7

Step-by-step explanation:

The polygon pictured is a hexagon, which means that it has 6 equal side lengths. The perimeter is 42. AB is the length of one side.

Perimeter = 6 x length of one side

If you plug everything you know in the equation, you would get...

42 = 6 x length of one side

42 ÷ 6 = 7

So, 7 is the length of AB, since in a hexagon, all sides are the same length.

The length of side AB  is 7.

A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.

This means that all of the sides and angles of a regular polygon are congruent (i.e., have the same size).

We have,

The given polygon is a hexagon since it has 6 faces.

Now,

The six faces are equal in length.

So,

6 faces length = 42

Now,

Each face = x

And,

6x = 42

x = 42/6

x = 7

Thus,

The length of AB  is 7.

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Answer:

65 degrees

Step-by-step explanation:

90 + 90 + 115 + x = 360

x= 65

Step-by-step explanation:

pls click on the pic for full answers

Let's solve this step-by-step. Here it is.

5x²+7x=x²+2

Step 1: subtract 2 from both the left and right side.

5x²+7x-2=x²+2-2

Simplify.

5x²+7x-2=x²

Step 2: subtract x² from each side.

5x²-x²+7x-2=x²-x²

Simplify.

4x²+7x-2=0

Step 3: solve using the quadratic formula.

[tex]x_{1,\:2}=\frac{-7\pm \sqrt{7^2-4\cdot \:4\left(-2\right)}}{2\cdot \:4}[/tex]

[tex]x_1=\frac{-7+9}{2\cdot \:4},\:x_2=\frac{-7-9}{2\cdot \:4}[/tex]

[tex]x=\frac{1}{4},\:x=-2[/tex]

Hope this helps!

Step 2: Factor the left side of the equation.

Answer:

B - 18

Step-by-step explanation:

149 total minutes minus 5 for the introductions leaves 144.

144/5=18

The required equation of the hyperbola is expressed as

[tex]\frac{x^2}{10}- \frac{y^2}{15}=1 \\[/tex]

The standard form for calculating the equation of a parabola along the x-axis is expressed as:

[tex]\frac{(x-k)^2}{a^2}-\frac{(y-h)^2}{b^2} = 1 \ ............. 1[/tex] where:

(h, k) is the center

(k±c, h) are the foci

[tex]x=h\pm\frac{a^2}{c}[/tex] is the directrix

From the question given, we can see that foci = (±5, 0)

k±c, h = ±5, 0

k = 0

h = 0

c = 5

From the directrix,

[tex]x=h\pm\frac{a^2}{c}\\x =0\pm\frac{a^2}{5}\\\pm2 = \pm\frac{a^2}{5}\\a^2 = 10\\[/tex]

Also, we need to know that;

a²+b² = c²

10 + b² = 5²

b² = 25 - 10

b² = 15

Substituting the gotten values into the equation of a hyperbola;

[tex]\frac{(x-0)^2}{10}- \frac{(y-0)^2}{15} =1\\\frac{x^2}{10}- \frac{y^2}{15} =1\\[/tex]

This gives the required equation of the hyperbola

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Answer:

The answers are between C and D

Step-by-step explanation:

It can't be A or B because they create a horizontal hyperbola, when the directrices are vertical.

Given:

The figure of a circle.

To find:

The measure of arc AD and measure of each arc.

Solution:

The measure of arc is equal to the central angle of that arc.

The central angle of arc AD is 105 degrees. So,

[tex]m(arc(AD))=105^\circ[/tex]

The central angle of arc BC is 35 degrees. So,

[tex]m(arc(BC))=35^\circ[/tex]

The central angle of arc CD is 50 degrees. So,

[tex]m(arc(CD))=50^\circ[/tex]

The central angle of a complete circle is 360 degrees. So,

[tex]m(arc(AD))+m(arc(BC))+m(arc(CD))+m(arc(AB))=360^\circ[/tex]

[tex]105^\circ+35^\circ+50^\circ+m(arc(AB))=360^\circ[/tex]

[tex]190^\circ+m(arc(AB))=360^\circ[/tex]

[tex]m(arc(AB))=360^\circ-190^\circ[/tex]

[tex]m(arc(AB))=170^\circ[/tex]

Therefore, the measure of arc AD is 105°, the measure of arc BC is 35°, the measure of arc CD is 50° and the measure of arc AB is 170°

Answer:

m1= 82

m2=98

m3=82

Step-by-step explanation:

Angle m4 is supplementary with angle m1 so their values add up to 180

180-98=82

Angle m3 is opposite of m1 and is the same value, it is also supplementary to m4 so you can find the value that way as well.

Angle m3 is opposite of m4 so it is the same value.  It is supplementary to m1 and m3, so it must be 98 through that logic as well.

Answer:

Let the three consecutive numbers be x,x+1,x+2 . The numbers are: 23,24,and25 and the smallest one is 23

Step-by-step explanation:

Answer: (x-1) + (x) + (x+1) = 72; smallest number is 23.

Step-by-step explanation:

The numbers are consecutive, meaning they sit next to each other on a number line. For example 4, 5, 6.

Because they are three consecutive numbers, their average will be the value of the middle one. For example the average of 4, 5, 6 is 5.

Knowing this, we can divide 72 by three to get the value of the middle number.

72/3 = 24, so the middle number is 24.

The numbers that fall either side of 24 on the number line are 23 and 25, so the three consecutive numbers are 23, 24, 25.

You can also set up and solve the equation: (x-1) + (x) + (x+1) = 72 because the numbers are consecutive.

To solve, combine like terms. The (-1) and (+1) cancel out and the equation becomes 3x = 72.

72/3 = 24, so x = 24, and the smallest term, (x-1) = 23.

Answer:

16.9°

Step-by-step explanation:

tan x = 1.7/5.6

tan^-1 x = 16.9°

Answer:

-72p^7-64p^4

Step-by-step explanation:

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<33<3<3<3<3

Let's simplify step-by-step.

5x^3 + 3 + 2x^3 − x^2 + 1

= 5x^3 + 3 + 2x^3 + −x^2 + 1

Combine Like Terms:

= 5x^3 + 3 + 2x^3 + −x^2 + 1

= ( 5x^3 + 2x^3 ) + ( −x^2 ) + ( 3 + 1 )

= 7x^3 + −x^2 + 4

Answer:

= 7x^3 − x^2 + 4

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<33<3<3<3<3

Formula: y = mx + b

m being the slope

Slope given: -2, plug it in

Y = -2x + b

Now find y intercept (b)

Plug in the point (5,-11)

-11 = -2(5) + b

-11 = -10 + b, b = -1

Solution: y = -2x -1

Answer:

package 3 is lowest unit price

Step-by-step explanation:

pkg 1

$0.55/.5m = $1.10/m

pkg 2

$2/2m = $1.00/m

pkg 3

$7/10m = $0.70/m

pkg 4

$5.50/5m = $1.10/m

------------------------------

package 3 is lowest unit price

Answer:

n = 8

Step-by-step explanation:

The angles are vertical angles and so they are equal

9n = 8n+8

Subtract 8n from each side

9n - 8n = 8n+8-8n

n = 8

The appropriate hypotheses for this test are

p = 0.75 for Null Hypothesis.

p > 0.75 for Alternative Hypothesis.

Given that,

According to a soccer coach, 75% of soccer players have had at least one sprained ankle.

Null Hypothesis (H₀):

The true proportion of college soccer players who have had at least one sprained ankle is equal to 75% is,

p = 0.75

Alternative Hypothesis (Ha):

The true proportion of college soccer players who have had at least one sprained ankle is greater than 75%.

p > 0.75

Here, We are testing if the true proportion is greater than 75%, so the alternative hypothesis should reflect that.

The null hypothesis assumes the proportion is equal to 75%.

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Answer:

3 hour

Step-by-step explanation:

23.30×4=93.2. 18.10×5=90.5 93.2-90.5=2.7 ans 3 hour than anne

Answer:

15 people

Step-by-step explanation:

ez maths:

300 (total) divided by 20 (parts available) = how many people can sit at said part (15)

Answer:

Each section can hold 15 people.

Step-by-step explanation:

[tex]\frac{1}{y}=\frac{20}{300}[/tex]

y × 20 = 300 × 1

20y = 300

20y ÷ 20 = 300 ÷ 20

y = 15

Answer:

w= -5

Step-by-step explanation:

Isolate "w":

Answer:

c

Step-by-step explanation:

dfghfghj

Answer: 13

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

x=1

Step-by-step explanation:

f(x)=0 is basically the x-axis. the line passes through 3 points on the x-axis, the only correct pint listed is x=1. :)

Answer:

113.1 in

Step-by-step explanation:

C = πd

d = 36

C = 36π = 113.1 in

Answer:

2/5

Step-by-step explanation:

.4 is 40% out of a 100 so it is 2/5

Answer:

4 over 10

Step-by-step explanation:

the .4 is in the 10 place in the destimal sot here forever when u make it a fraction it would be ⁴/10

Answer:

7/24

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

For 66% of a number is 72, The value of 11% of number is,

⇒ 12.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

We have to given that;

There are 66% of a number is 72.

Now, We can assume that;

Let a number = x

Then, We can formulate;

⇒ 66% of x = 72

⇒ 66/100 × x  = 72

⇒ 66x = 72 x 100

⇒ 66x = 7200

⇒ x = 7200 / 66

⇒ x = 109.1

Thus, We can formulate;

⇒ 11% of 109.1

⇒ 11/100 × 109.1

⇒ 12

Therefore, For 66% of a number is 72, The value of 11% of number is,

⇒ 12.

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Answer:

A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum. The series 4+8+12+16+20+24 can be expressed as 6∑n=14n . The expression is read as the sum of 4n as n goes from 1 to 6 .

Step-by-step explanation:

I hope it's help u

Answer:

the answer is B

Step-by-step explanation:

i got your back