algebra applications ​

Answer:

In the picture attached, the question is shown.

a) Applying Pythagorean theorem to triangle ABC, and solving for AC:

CB² + BA² = AC²

5² + 12² = AC²

√169 = AC

13 cm = AC

b) Applying Pythagorean theorem to triangle ACD, and solving for AD:

CD² + AC² = AD²

5² + 13² = AD²

√194 = AD

13.9 cm = AD

Answer:

true

Step-by-step explanation:

y = –x + –5

Substitute the point into the equation

-8 = -3 + -5

-8 = -8

This is true so the point is a solution to the equation

Answer:

B. A = 96 cm2

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

33.45 ÷ 3 = 11.15 but round it

(im not 100% sure but I hope this helps)

Answer:

you answer would be A.    I hope this helps

Step-by-step explanation:

Answer:

x^1/8 y^8

Step-by-step explanation:

To obtain the answer to the question given above, let us simplify the expression (x^1/4 y^16)^1/2.

This is illustrated below:

(x^1/4 y^16)^1/2

(x^1/4)^1/2 • (y^16)^1/2

x^1/4×1/2 • y^16×1/2

x^1/8 y^8

Therefore, x^1/8 y^8 is equivalent to (x^1/4 y^16)^1/2.

Answer:

Step-by-step explanation:

Cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.

Cramer's rule is a form of formula for finding the solution of linear equations system of with as many equations as unknown.

Given that,  

[tex]\left\{\begin{matrix}11x_1& 16x_2 & 25x_3 & =971\\15x_1& 22x_2& 8x_3 & =1104 \\ 9x_1& 12x_2& 17x_3& =730 \\\end{matrix}\right.[/tex]

solution by Cramer's rule

[tex]A = \begin{vmatrix} 971& 16& 25\\1104 & 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]

[tex]A = -320[/tex]

[tex]A_1={\begin{vmatrix} 971& 16& 25\\ 1104& 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]

[tex]A_1 = 7210[/tex]

[tex]A_2=\begin{vmatrix}11 & 971 &25 \\ 15& 1104 & 8 \\ 9& 730& 17\\\end{vmatrix}[/tex]

[tex]A_2=-10135[/tex]

[tex]A_3=\begin{vmatrix} 11& 16& 971\\ 15& 22& 1104\\ 9& 12& 730\\\end{vmatrix}[/tex]

[tex]A_3=-2770[/tex]

[tex]x_1=A_1/A\\ x_2=A_2/A\\ x_3=A_3/A\\[/tex]

[tex]x_1=\frac{-7210}{-320} \\ x_2=\frac{-10135}{-320} \\ x_3=\frac{-2770}{-320} \\[/tex]

[tex]x_1=\frac{721}{32} \\ x_2=\frac{2027}{64} \\ x_3=\frac{277}{32} \\[/tex]

[tex]x_1=22.53 \\ x_2=\ 31.67 \\ x_3=8.65\\[/tex]

Hence cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.

Learn more about Cramer's rule

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Answer:

Ox+y+z=180

Step-by-step explanation:

The relationship which is always rue for the three angles x, y and z of triangle ABC is x + y + z = 180°.

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

We know that a triangle has three angles.

Let x, y and z be the three angles of the given triangle.

We know that, the interior angles of a triangle sum up to 180°.

The given three angles are x, y and z.

So, x + y + z = 180°

Hence the correct relationship that describes all the three angles of the triangle is that x + y + z = 180°.

To learn more about Triangles, click on the link given :

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Answer:

C)

Step-by-step explanation:

the answer is c because you multiply 4 and 2 and get 8 and multiply 8 by 8 and get 64 then you use 4 again and multiply 64 by 4 so you get 256 and round that 254

Answer:

Step-by-step explanation:

Answer:

12(3+5)

Step-by-step explanation:

The greatest common factor is 12

12*3 + 12*5

12(3+5)

Answer:

12(3+5)

Step-by-step explanation:

First, let’s list all the factors of the two numbers. Factors are numbers that evenly divide into a number.

The two numbers are 36 and 60.

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The GCF is the greatest common factor. The biggest factor both numbers share is 12.

Now let’s find the expression.

36+60

We know the GCF is 12. Therefore, we can distribute out a 12. Take out a 12, and then divide both numbers by 12.

12( 36/12 + 60/12)

12(3+5)

Answer:

Step-by-step explanation:

15/3= 5

Orrrr

15/-3=-5

Answer:

Box 1's  volume will be a monomial

Box 2's volume will be a binomial

Explain your reasoning:

Box 1’s volume is modeled by a monomial times a monomial, so it will be a monomial.  Box 2’s volume is modeled by a monomial times a binomial, so it will be a binomial.

Step-by-step explanation:

Feel free to copy and paste! Hope this helps! Have a great day!

BTW...If you have any questions for school...any grade level, any subject...just comment or ask. I will be sure to answer as soon as I can!!  <3

The volume of a box is the amount of space it can occupy.

The given parameters are:

Dimensions of box 1: x by 3x by x^3

Dimensions of box 2: x by 4x - 1 by x^3

The volume of the box is calculated by multiplying the dimensions.

So, we have:

Box 1

[tex]V_1 = x \times 3x \times x^3[/tex]

[tex]V_1 = 3x^5[/tex]

Box 2

[tex]V_2 = x \times (4x - 1) \times x^3[/tex]

[tex]V_2 = (4x - 1) \times x^4[/tex]

Open brackets

[tex]V_2 = 4x^5 - x^4[/tex]

After calculating the volumes, we have:

[tex]V_1 = 3x^5[/tex] ---- box 1

[tex]V_2 = 4x^5 - x^4[/tex] ---- box 2

Hence,

Read more about volumes at:

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Answer:

1.19

Step-by-step explanation:

Hope this helps :) I try to just get straight to the point so sorry for no work

Answer:

8 1/8

Step-by-step explanation:

2 4/8 plus 5 5/8

4/8 because it equals to 1/2

Answer:

8 1/8

Step-by-step explanation:

2 1/2+ 5 5/8

2 4/8 + 5 5/8

7 9/8

8 1/8

Answer:

3<x<52

Step-by-step explanation:

0<2x-6<52

6<2x<52

3<x<52

Answer:

3 x 9

Step-by-step explanation:

3<x<9 . Just did this. Acellus is lame but better than normal school. Good luck with the rest im only on lesson 84

________________________________

Hey!!!

solution,

(-4ab - 5a +3)-(-7ab+9)

=-4ab -5a+3 + 7ab - 9

= -4ab+7ab-5a+3-9

= 3ab-5a-6

Hope it helps...

Good luck on your assignment

______________________________

Answer: -4 meters

Step-by-step explanation:

8 - 4 = 4; If it started at 4 meters depth and then went down to 8 meters depth, then it submerged 4 meters.

Answer:

-4

Explanation:

To find the change in depth simply subtract how many meters it was below the surface by how many meters it was at the starting point.

8 - 4

-4

Therefore, the change in depth was -4 meters.

Answer: The MAD describes the average distance from a data point to the mean. It measures variability. For this data, it shows that Evelyn’s scores varied slightly more than Robin’s.

Step-by-step explanation: Add 8+1+5+0+12 and divide it by 5 and get 5.2

Answer:

Mean absolute deviation is the average distance between the mean of o set of numbers. The MADs for Robin and Evelyn's data show that Evelyn's scores or slightly more varied than Robin's.

Step-by-step explanation:

Answer:

Question 9: slope= 4

Question 10: 10x+5y = -25

Step-by-step explanation:

For question 9, since it is a linear function, you can think of it as y=mx+b. "m" is the slope value. In your instance, m=4 so the slope is 4. For question 10, you need to reorder it into y=mx+b by moving the -25 to the left side and moving the 5y to the right side. After you do this, you should get 10x+25=-5y. Then divide both sides by -5 to get -2x-5=y. Since m is a negative value, the function has a negative slope. Since the "b" value is the y-intercept and this case it's -5, the y-intercept of the equation is -5.

Answer:

A

Step-by-step explanation:

There is 2 of the same number on the Y

Answer:

C. One right angle, one acute angle, one obtuse angle  

Step-by-step explanation:

A triangle is a closed geometrical figure. It is an enclosed figure with three sides and three angles. The sum of the angles of a triangle is 180°. A triangle can be formed with three acute angles. A triangle can be formed with one right angle and the other two being acute angles. A triangle can be formed with one obtuse angle and the other two being acute angles. A triangle cannot be formed with one right angle, one acute angle, one obtuse angle.

Answer:

independent: riding the scooter

dependent: miles ridden

function: y=6x

Step-by-step explanation:

Answer:

independent: riding the scooter

dependent: miles ridden

function: y=6x

Step-by-step explanation:

Answer:

[tex]138.23units^2[/tex]

Step-by-step explanation:

[tex]A=2\pi rh+2\pi r^2=2*\pi *2*9+2*\pi *2^2=138.23008\\138.23units^2[/tex]

Answer:

44pi

Step-by-step explanation:

Look at the attachment

Answer:

50 lbs.

Step-by-step explanation:

Answer:

45.65

Step-by-step explanation:

     [tex]\sum\limits_{i=3}^{10}\big i^2[/tex]

or:

     [tex]\sum\limits_{i=1}^{8}\left(2+i\right)^2[/tex]

or:

    x₁=3, x₂=4, x₃=5, .... x₈=10

    [tex]\sum\limits_{i=1}^{8}\big x_i^2[/tex]

The sigma notation of 3^2+4^2+5^2+...+10^2 is: [tex]\sum\limits^{10}_{n = 3} n^2[/tex]

The sum is given as;

3^2+4^2+5^2+...+10^2

The above means that the sum of the squares of integers from 3 to 10

Using the above statement, the sigma notation is:

[tex]\sum\limits^{10}_{n = 3} n^2[/tex]

Where n represents the current integer

Read more about sigma notation at:

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Answer:

A

Step-by-step explanation:

[tex]f(x)=\dfrac{x^2-36}{x+6}= \\\\\\\dfrac{(x-6)(x+6)}{x+6}= \\\\\\(x-6) \\\\\\f(-6)=((-6)-6)=-12[/tex]

Therefore, the correct answer is choice A. Hope this helps!

Answer:

=-12

Step-by-step explanation:

f(x) = (x^2-36)/(x+6)

Factor the numerator.  The numerator is the difference of squares  

(a^2 -b^2) = (a-b)(a+b)

f(x) = (x-6)(x+6)/(x+6)

Cancel the like terms

f(x) = x-6

f(-6) = -6-6

       = -12

Answer:

Yes you are correct for x AND y

Step-by-step explanation:

Yes, your answer is correct.

A: 3/4 - 2.

Hope this helped!

Answer:

its A

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

42/60= 0.7 = 7/10 = 70%