What property was used to solve the equation?
O Property of opposites
O Division property of equality
* Addition property of equality
O Multiplication property of equality

Answer:

5880972

hope it helps..

Answer:

15

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, the complete question is:

A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y 81-x², what are the dimensions of the rectangle with the maximum area? what is the area?

Solution:

Given the parabola:

y = 81 - x²

Let the points (a,0) and (-a, 0) be points on the axis, this points touch the parabola at (a, 81 - a²) and (-a, 81 - a²).

Points (a,0), (-a, 0), (a, 81 - a²), (-a, 81 - a²) form the rectangle.

The length of rectangle = distance between (a,0) and (-a, 0) or between (a, 81 - a²) and (-a, 81 - a²) = 2a

The breadth of rectangle = distance between (a,0) and (a, 81 - a²) or between (-a, 0) and (-a, 81 - a²) = 81 - a²

Area of rectangle (A) = length × breadth = 2a × (81 - a²) = 162a - 2a³

A = 162a - 2a³

The maximum area is at dA / da = 0

dA / da = 162 - 8a² = 0

162 - 6a² = 0

6a² = 162

a² = 27

a = 5.2 units

Length = 2a = 2(5.2) =  10.4 units

Breadth = 81 - a² = 81 - 5.2² = 54 unit

Area = length × breadth = 54 × 10.4 = 561 unit²

Answer:

28

Step-by-step explanation:

let the missing number be x

x÷2+49=2¼x

49=9/4x-x/2

lcm=4

9x-2x/4

49=7x/4

49×4=7x

196=7x

divide both sides by 7

196/7=x

therefore 28=x

Given:

In △ABC is a right angle triangle.

AC is 6 units longer than side BC.

[tex]Hypotenuse=2\sqrt{17}[/tex]

To find:

The length of AC.

Solution:

Let the length of BC be x.

So, Length of AC = x+6

According to the Pythagoras theorem, in a right angle triangle

[tex]Hypotenuse^2=Base^2+Perpendicualar^2[/tex]

△ABC is a right angle triangle and AC is hypotenuse, so

[tex](2\sqrt{17})^2=(x)^2+(x+6)^2[/tex]

[tex]68=x^2+x^2+12x+36[/tex]            [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

Subtract 68 from both sides.

[tex]0=2x^2+12x+36-68[/tex]

[tex]0=2x^2+12x-32[/tex]

[tex]0=2(x^2+6x-16)[/tex]

Divide both sides by 2.

[tex]x^2+6x-16=0[/tex]

Splitting the middle term, we get

[tex]x^2+8x-2x-16=0[/tex]

[tex]x(x+8)-2(x+8)=0[/tex]

[tex](x+8)(x-2)=0[/tex]

[tex]x=-8,2[/tex]

Side cannot be negative, so x=2 only.

Now,

[tex]AC=x+6[/tex]

[tex]AC=2+6[/tex]

[tex]AC=8[/tex]

Therefore, the length of AC is 8 units.

Answer:34.17601498.

Step-by-step explanation:

Newton's method of approximation is used to approximate values.

The value of [tex]\mathbf{4\sqrt{73}}[/tex] is 34.17601498

Let the number be x.

So, we have:

[tex]\mathbf{x = 4\sqrt{73}}[/tex]

Square both sides

[tex]\mathbf{x^2 = 1168}[/tex]

Subtract 1168 from both sides

[tex]\mathbf{x^2 - 1168 = 0}[/tex]

Express as a function

[tex]\mathbf{f(x) = x^2 - 1168 }[/tex]

Set x1 to 73/2.

So, we have:

[tex]\mathbf{x_1 = \frac{73}{2} = 36.5}[/tex]

Where:

[tex]\mathbf{x_{n+1} = x_n- \frac{x_n^2-1168}{2x_n}}[/tex]

So, we have:

[tex]\mathbf{x_{1+1} = x_1- \frac{x_1^2-1168}{2x_1}}[/tex]

[tex]\mathbf{x_{2} = x_1- \frac{x_1^2-1168}{2x_1}}[/tex]

This gives

[tex]\mathbf{x_{2} = 36.5- \frac{36.5^2-1168}{2 \times 36.5}}[/tex]

[tex]\mathbf{x_{2} = 34.25}[/tex]

[tex]\mathbf{x_{3} = x_2- \frac{x_2^2-1168}{2x_2}}[/tex]

[tex]\mathbf{x_{3} = 34.25- \frac{34.25^2-1168}{2 \times 34.25}}[/tex]

[tex]\mathbf{x_{3} = 34.1760948905}[/tex]

[tex]\mathbf{x_{4} = x_3- \frac{x_3^2-1168}{2x_3}}[/tex]

[tex]\mathbf{x_{4} = 34.1760948905- \frac{34.1760948905^2-1168}{2\times 34.1760948905}}[/tex]

[tex]\mathbf{x_{4} = 34.1760149814}[/tex]

[tex]\mathbf{x_{5} = x_4- \frac{x_4^2-1168}{2x_4}}[/tex]

[tex]\mathbf{x_{5} = 34.1760149814- \frac{34.1760149814^2-1168}{2\times 34.1760149814}}[/tex]

[tex]\mathbf{x_{5} = 34.1760149813}[/tex]

The values of x4 and x5 are the same up till the 8th decimal place.

Hence, the value of [tex]\mathbf{4\sqrt{73}}[/tex] is 34.17601498

Read more about Newton's method of approximation at:

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Answer:

Um threre is no blanks or there is no question.

Step-by-step explanation:

Answer:

V = 2000 km/h

Step-by-step explanation:

Recall that you need to follow proportionality here, and the ratio involved is: 10 km / 1 cm

then if the vector is 2 m long, then it is 200 cm long (converting it from meters to the same units as our scale which is in cm)

then we have to solve the following proportion to obtain the velocity "V":

10 km/h / 1 cm = V / 200 cm

multiply both sides by 200 to solve for V:

V = 2000 km/h

Answer:

e

Step-by-step explanation:

s

Answer:

There are 2 given situations:

Plant A and Plant B growing in 3 weeks. Find which plant grows proportional

Plant A

=> 1st week = 18 inches

=> 2nd week = 36 inches

=> 3rd week = 56 inches

=> 18 + 18 = 36 + 20 = 56

Thus, this is not proportional

Plant B

=> 1st week = 18 inches

=> 2nd week = 36 inches

=> 3rd week  = 54 inches

=> 18 + 18 = 36 + 18 = 54 inches

thus, the growth of this plant is proportional

Equation x = 1 represents the vertical line passing through (1 ,-9).

" Equation of a line is defined as an algebraic expression which is represented by linear equation in two variables with highest degree 1. Minimum two coordinates required to draw a line."

According to the question,

Coordinates in the plane represented by (x, y)

We have

Line passing through the point  = (1 ,-9)

x = 1 for different values of y represents a line perpendicular to x-axis.

Therefore,

Vertical line passing through (1, -9) is equals x = 1.

Hence, Option(B) is the correct answer.

Learn more about equation of line  here

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Answer:

1586

Step-by-step explanation:

Answer:

x> -1

Step-by-step explanation:

Open circle means > or <

Answer:

True

Step-by-step explanation:

have a great day!

Answer:

If you go to desmos.com, select the graphing calculator, and enter in y = 3x you should be able to see how it's graphed! Hope this helps!

Answer:

(0, 0) and (1, 3)

happy to help!

Answer:

RIP to all those kings!!

Step-by-step explanation:

Answer:

x = 55°

y = 70°

z = 125°

Step-by-step explanation:

Based on the Isosceles triangle theorem, since two sides of the triangle are congruent, therefore, the angles opposite to each of the equal sides are congruent.

Thus:

x = 180° - 125° (angles on a straight line/linear pair)

x = 55°

If x = 55°, the other base angle will also be 55°.

Therefore,

y = 180° - (55° + 55°) (sum of ∆)

y = 70°.

z = x + y (exterior angle of a ∆ theorem)

z = 55° + 70° (substitution)

z = 125°

Answer:

ans=10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

10(4-7) /   -(4 - 1)

10(-3)  /    -(3)

-30    /    -3 =

10

Answer:

I cant tell you the answer but multiply 3x1 then 137 by 2 then add the 3x1 and the 137 x 2 all together and you get the answer

Answer: 72 over 7

Step-by-step explanation: Hoped this helped you

Answer:

[tex]6 \frac{3}{4} + 2 \frac{1}{4}[/tex] × [tex]\frac{8}{7}[/tex]

Decimal Form: 9.32

Step-by-step explanation

Answer:

A. 28

Step-by-step explanation:

A. 28

step 1.

We know that the diameter of the circle inscribed within the triangle is 28 miles, and we know that E is the incenter of triangle ABC.

step 2.

Next, we learned that the perpendicular legs from the incenter to the sides of the triangle are congruent, and we know that the radius of a circle is 1/2 of the diameter of the circle.

step 3.

Since the diameter of the circle is 28, we know the distance of segment DE is 14. Next, we know the perpendicular legs are equal to segment DE. Thus, we can solve for the amount of additional miles of road by writing 14 + 14 = 28.

Answer:

14w 2 − 4w

Step-by-step explanation:

Answer:

124345

Step-by-step explanation:

Answer:

hmm, imma have to do the problem

Step-by-step explanation:

Multiply:  1

3

 ×  2

5

To find the product,

✔ multiply

the numerators and

✔ multiply

the denominators.

The product is

✔ 2/15

.

Divide:  2

5

 ÷  3

5

To divide, multiply by the

✔ reciprocal

.

The quotient is

✔ 2/3

.

Edg 2020 :)))))))

The multiplication result to 2/15 and division result to 2/3.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

1/ 3 × 2 /5

Now, to multiply we have multiply numerator and denominator.

1/ 3 × 2 /5

=(1  x 2)/ ( 3 x 5)

= 2 /15

Now, 2/ 5 ÷ 3/ 5

We have to divide the fraction.

Fraction does not support division.

So,2/ 5 ÷ 3/ 5

= 2/5 x 5/3

= 2/3.

Learn more about fraction here:

https://brainly.com/question/10354322

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Answer:

There would be four small marbles and twelve large marbles so your answer should be sixteen marbles in total

Step-by-step explanation: