Consider the right triangle below. Solve for x. Label the sides in the image as opposite, adjacent, or hypotenuse, then show your work on the sketchpad.

Answer:

A=5.375

Step-by-step explanation:

46.28-3.28= 43

43÷8= 5.375

I hope this helps

================================================

Explanation:

Let's focus on the root x = 2i. Square both sides to get rid of the imaginary component and then get everything to one side.

x = 2i

x^2 = (2i)^2

x^2 = 4i^2

x^2 = -4

x^2+4 = 0

You should find that the root x = -2i leads to x^2+4 = 0 as well.

So the equation x^2+4 = 0 produces the complex roots x = 2i and x = -2i. This tells us that x^2+4 is a factor of the answer. The other factor is x-5 due to the real number root x = 5.

We'll multiply those two factors mentioned:

(x-5)(x^2+4)

w(x^2+4) ..... let w = x-5

wx^2 + 4w

x^2(w) + 4(w)

x^2(x-5) + 4(x-5) .... plug in w = x-5

x^3 - 5x^2 + 4x - 20

----------

The last step is to triple each term so that we go from the leading term of x^3 to 3x^3. This will give us a lead coefficient of 3.

So we go from this

x^3 - 5x^2 + 4x - 20

to this

3x^3 - 15x^2 + 12x - 60

after tripling everything. This expression has the same roots as the previous one. Scaling the function only stretches it vertically, but the roots aren't changed.

1. -2 + 15 = 13

If the temperature is -2 and it rises 15 degrees, the new temperature is 13 degrees.

2. The temperature rose 15 degrees

-6 + 9 = 15

Answer:

1 a) 13 degrees Celsius

b) By fifteen degrees

Answer:

Please give Brainliest!

Step-by-step explanation:

The three sides are 36ft, 72ft, and 59 ft.

Answer:

-439° × π / 180°  

= -2.4388888889π rad  

= -7.6619954163 rad

Step-by-step explanation:

π rad = 180°

Answer:

Good night sagey!!!! sleep well

Answer:

Vincent will be able to buy the sneakers, while David will not be able too.

Step-by-step explanation:

I believe this is true because for David,

6% of 86$ is 5.16$

so 86 + sales tax (which is 5.16) = 91.16$

David only has 90$ so he can't afford the sneakers. They are 1.16$ over his budget.

While for Vincent,

9% of 86$ is 7.74$

so 86 + sales tax (which in this case is 7.74) = 93.74

Vincent has 95$ to spend so he can afford the shoes.

I am not exactly sure if all calculations are correct, but I hope this helps! :)

Answer:

Vincent          

I took the test on edg

Answer:

70

Step-by-step explanation:

the least common multiple of 10 and 14 will be the answer

the prime factorization of 10 is 2 and 5

the prime factorization of 14 is 2 and 7

so you can multiply the number in common, 2, by the ones not common, 5 and 7

2 x 5 x 7 = 70

Answer:

m=4/3

Step-by-step explanation:

The height of the triangle is 15 meters.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Types of triangles

Area of a triangle = 1/2 (base x height)

height = (2 x area ) / base

(2 x 67.5) / 9

= 135 / 9

= 15 meters

Please find attached an image of a triangle. A similar question was answered here: https://brainly.com/question/7655890

The parking lot is located along the front and one side of the school

building.

Reasons:

The given dimensions in the compound are;

Length of the school and the old parking lot = 300 + 75

Width of the school and the old parking lot = 165 + 75

Length of the school, the old and new parking lot = 300 + 75 + x

Width of the school and the old and new parking lot = 165 + 75 + x

Area of the new parking lot the school wants = Double the old parking lot

In terms of areas, we have;

New compound - School = 2 × (old compound - school)

Which gives;

(300 + 75 + x) × (165 + 75 + x) - 300 × 165 = 2 × ((300 + 75) × (165 + 75) - 300 × 165)

2 × (375 × 240 - 49,500) = (375 + x) × (240 + x) - 49,500

Simplifying gives;

81,000 = x² + 615·x + 40,500

x² + 615·x + 40,500 - 81,000 = 0

x² + 615·x - 40,500 = 0

Factorizing with a graphing calculator gives;

(x - 60)·(x + 675) = 0

Therefore;

x = 60 or x = -675

Given that x is a natural number, we have, the correct value is; x = 60;

The distance with which the lot should be expanded, x = 60 feet.

Learn more about writing equations here:

https://brainly.com/question/20475360

https://brainly.com/question/7107994

Answer:

15 Nachos and 23 Powerades were sold.

Brainliest is appreciated. (The crown)

Answer:

  a) m = 60°, n = 30°

  b) m = 20°, n = 45°

Step-by-step explanation:

The top and bottom horizontal lines are parallel, so angle m is an alternate interior angle congruent to the interior angle(s) of the equilateral triangle. Those angles are all 60°.

Angle n is the complement of angle m, so is 90°-60° = 30°

  m = 60°, n = 30°

__

The base angles of the isosceles right triangle are n = 45°. (This should be a memorized fact. It is computed as (180° -90°)/2 = 45°.)

The base angles of the isosceles acute triangle are (180°-50°)/2 = 65°. Angle m is the difference between one of these and angle n.

  m = 65° -45° = 20°

  m = 20°, n = 45°

_____

Additional comment

The sum of angles of a triangle is 180°. The "base" angles of an isosceles triangle (one with two equal sides) are equal. If 'a' is the third angle, and 'b' are the base angles, you have ...

  a + 2b = 180°

  2b = 180° -a

  b = (180° -a)/2 . . . . . . the relation used above

Answer:

Part A:

Gwen equation

x + 10y = 30

Part C:

Keith equation:

x + 10y = 30

Part B:

Tristan equation:

x + 15y = 40

Part D:

You would use Keith's and Tristan's equation, because Gwen and Keith have the same exact equation so you can just use Keith's equation.

Part E:

Multiply the second equation by -1, then add the equations together.

(x+10y=30)

-1(x+15y=40)

Becomes:

x + 10y = 30

-x - 15y = - 40

Add these equations to eliminate x:

-5y = -10

-5y/5 = -10/5

so y = 2

Now lets find x, so lets plug it in x + 10y = 30.

x + 10(2) = 30

x + 20 = 30 ( do 30-20)

x = 10

We used elimination to solve this problem.

The entree fee is $10 and each ticket costs $2.

Part F:

For this part search graph tool and go on the app, then put Keith's and Tristan's equation in Graph Tool. Once you do that just screenshot it and paste it to Part F, then your answer should be Yes, you get the same solution when it is solved algrebraically.

Step-by-step explanation:

I really hope this helps you!!!! :D Mark brainliest if it does!!!!

Answer: Part A:

Gwen equation

x + 10y = 30

Part C:

Keith equation:

x + 10y = 30

Part B:

Tristan equation:

x + 15y = 40

Part D:

You would use Keith's and Tristan's equation, because Gwen and Keith have the same exact equation so you can just use Keith's equation.

Part E:

Multiply the second equation by -1, then add the equations together.

(x+10y=30)

-1(x+15y=40)

Becomes:

x + 10y = 30

-x - 15y = - 40

Add these equations to eliminate x:

-5y = -10

-5y/5 = -10/5

so y = 2

Now lets find x, so lets plug it in x + 10y = 30.

x + 10(2) = 30

x + 20 = 30 ( do 30-20)

x = 10

We used elimination to solve this problem.

The entree fee is $10 and each ticket costs $2.

Part F:

For this part search graph tool and go on the app, then put Keith's and Tristan's equation in Graph Tool. Once you do that just screenshot it and paste it to Part F, then your answer should be Yes, you get the same solution when it is solved algrebraically.

Step-by-step explanation:

I really hope this helps you!!!! :D Mark brainliest if it does!!!!

Step-by-step explanation:

NOTE: for C there is an x after -4.1176

Step-by-step explanation:

Answer:

divide both sides by 5

Step-by-step explanation:

y + 12 = 5

y = -7

Answer:

1/6

Step-by-step explanation:

-3/4 - (-1/2) = - 1/4

-2/3 - 5/6 = - 3/2

-1/4 ÷ -3/2

Step-by-step explanation:

3.52 =

3

+ 0.5

+ 0.02

hopes this helps you

Answer:

Record yourself explaining your thoughts and listen to the recording. Continue re-recording what you say and listening to your recording until it sounds they way you want it to.

Answer: He needs to splash the threes

Step-by-step explanation: He dosent have the vertical so he just needs to have a splashy 3 pointer

Answer:

b= -1/5

Step-by-step explanation:

Though a variable's sign changes when it is multiplied by -1, its absolute value does not. Therefore, we can eliminate the 1:

1/5+b=0

b+1-1/5=0-1/5

b+0/5= 0 -1/5

b=0 -1/5

and you have b= -1/5 as your answer

Answer:

C

Step-by-step explanation:

5x+15+2=5x+17

2 Simplify 5x+15+25x+15+2 to 5x+175x+17.

5x+17=5x+17

5x+17=5x+17

3 Since both sides equal, there are infinitely many solutions.

Infinitely Many Solutions

Answer:

16.8

Step-by-step explanation:

21-4.2= 16.8

Answer:

5

Step-by-step explanation:

3x - 5 = 10

3x = 15

x = 5

I hope it helps bye, good luck

Answer:

x=5

Step-by-step explanation:

Move all terms not containing  x  to the right side of the equation.

Add  5 to both sides of the equation.

3x = 10 + 5

Add 10 and 5

3x = 15

Divide each term in  3x = 15  by 3  and simplify.

3x/3 = 15/3

Simplify the left side

Cancel the common factor of  3

x = 15/3

Divide 15 by 3

x = 5

A perfect square trinomial is represented by the equation [tex]x^2-6x+9[/tex] and this can be determined by using the factorization method.

Given :

A perfect square trinomial can be represented by a square model with equivalent length and width.

The following steps can be used in order to determine the polynomial that can be represented by a perfect square model:

Step 1 - First, check option a) [tex]x^2-6x+9[/tex] is a perfect square or not.

Step 2 - Try to factorize the above equation.

[tex]x^2-6x+9 = x^2-3x-3x+9[/tex]

[tex]x^2-6x+9 = x(x-3)-3(x-3)[/tex]

[tex]x^2-6x+9 = (x-3)^2[/tex]

Step 3 - The equation in option a) represents the perfect square trinomial.

From, the above steps, it can be concluded that the correct option is a).

For more information, refer to the link given below:

https://brainly.com/question/2263981

Answer:

B, 13.2

Step-by-step explanation:

Multiply 60 by 0.22 for your answer and you get 13.2

Answer:

y = 7 - 4x

Step-by-step explanation:

8x + 2y = 14

2y = 14 - 8x (since we're solving for "y", we want "y" by itself)

y = 14-8x / 2 (we want to separate "y" and 2, so we divide the other side of the  equation by 2)

y = 7 - 4x (divide by 2)

Hope this helps :)

Answer:

B

Step-by-step explanation:

For each glazed donut, Max spends $1.09. Therefore, if he buys x donuts, he pays $1.09 x times, or $1.09 * x. Similarly, for cinnamon bagels, he pays $1.59 * y, and for onion bagels, he pays $1.59 * z. Adding these up, we get

1.09x + 1.59y + 1.59z

Answer:

20

Step-by-step explanation:

Since C is the midpoint of BD, BC must be equal to CD. Therefore, we can set the equation:

x+4=3x-10

Solve:

14=2x

x=7

Then we find AC, which is:

2x-5+x+4 = 3x-1

We can plug x in to get:

3*(7)-1=20