Complete the table using the equation y = 5x + 3.
x -1 0 1 2 3
y -? ? ? ? ?​

Answer:

Length of the shadow = 20.5 cm

Step-by-step explanation:

Given the 32-meter height of a tall building, and its casted shadow of 38 meters, we can find the unknown length of the shadow by using the Pythagorean Theorem.

The Pythagorean Theorem states that the squared length of the hypotenuse of a right triangle is equal to the sum of the squared lengths of the legs.

The algebraic representation of the Pythagorean Theorem is:  

                     c² (hypotenuse) = a² (leg₁) + b² (leg₂)

To solve for the given problem:

Let c = 38 m (distance from the top of the building to the tip of the shadow)

a = unknown length of the shadow

b = 32m (height of the building)

Since we have to solve for the value of a (unknown length of the shadow), we must algebraically solve for a:

c² = a² + b²

Subtract b² from both sides:

c² - b² = a²  + b² - b²

a² = c² - b²

Substitute the given values into the formula for solving a :

a² = c² - b²

a² = (38)² - (32)²

a² = 1444 - 1024

a² = 1444 - 1024

Next, take the square root of both sides to solve for a:

[tex]\displaystyle\mathsf{\sqrt{(a)^2}\:=\:\sqrt{420}}[/tex]

a = 20.49 or 20.5 cm

Therefore, the length of the shadow is 20.5 cm.

Answer:

30x-10

Step by Step Work:

5x(6)-10

Because 5 x 6= 30, it becomes

30x-10

Since 30x and 10 have different terms, you can not simplify any further.

So you get your answer, which is 30x-10.

Answer

30x-10

Step by Step Work:

5x(6)-10

Because 5 x 6= 30, it becomes

30x-10

Since 30x and 10 have different terms, you can not simplify any further.

So you get your answer, which is 30x-10.

Answer:

4x2 + 5x + 3

Step-by-step explanation:

Answer: 36x^2

Step-by-step explanation:

Hi! I usually hate to use links, but I actually just answered this same question for someone else. I would copy and paste, but my copy and paste is screwing up the format making it super hard to read. I'm attaching the link instead. Hope this helps!

https://brainly.com/question/26017159?cb=1639960292092

Answer:

This is essentially a rule in the unit of radicals, where n✔️X^m = X^m/n. If the value of m is equal to n, as in 2✔️3^2 it would simply be 3^2/2 which is nothing but 3^1 = 3. Basically, the m value can be greater than n and or less than n, but if it is equal the m and n values cancel out. Hope this helped <3

Answer:

simplify -1-18

Step-by-step explanation:

Subtract  18  from −1

− 19

Answer:

y = 2

Step-by-step explanation:

Answer:

i dont know it looks complicated

Step-by-step explanation:

copy paste then search it, you might find it.

Equation Form:

w x 2 [tex]\geq[/tex] 19

Divide both sides by 2:

w [tex]\geq[/tex] 9.5

So, w must be equal to or greater than 9.5 for this equation to work.

Answer:

  see attached

Step-by-step explanation:

Each step is 0.7 m, so 10,000 steps will be 0.7(10,000 m) = 7,000 m. Of course 0 steps is 0 meters, so the graph is a straight line with a slope of 0.7.

Answer:

1/3 OR -1/3

Step-by-step explanation:

1/2 - 1/6 = ?

3/6 - 1/6 = 2/6

2/6 = 1/3

OR

1/6 -1/2 =?

1/6 - 3/6 = -2/6

-2/6 = -1/3

Jon pays $40 and $15. This means that he pays a total of $55. You multiply the total cost by 0.05, which is $2.75. To convert a number to a percentage, multiply it by 100. So, 0.05 as a percent is equal to 5%.

His sales tax will be $2.75.

Answer:

-40/8= -5

Step-by-step explanation:

Multiply the top to get -40 then the bottom to get 8. When you simplify, you get -5.

Answer:

-5.625

Step-by-step explanation:

5/4 × (-9/2)

=5×(-9)/4×2

=-45/8

=-5.625

Answer:

D. 25

Step-by-step explanation:

16 divided by 64% is 25

Answer:

25

Step-by-step explanation:

Hope I helped you.

Answer:

A.) 4/5

Step-by-step explanation:

Another fraction that's not on there that is correct is 8/10

Answer:

The last three are all functions.

The first one is not because by defenition of function, an x value cannot have two y values.

The second one is because a function f(x) is the same thing as y

The third one is because x value does not repeat, and that is all that matters.

The fourth one is a function too since x values do not have two y values

Answer: x=14

Step-by-step explanation: have a good day

Answer:

The answer is 191.

Hope that helps. x

Answer:

191

Step-by-step explanation:

12+23=35

67+10=77

19+60=79

Now let's add all three numbers

35+77+79=191

Hope this helps!

Answer:

20 ft

Step-by-step explanation:

It is 20 ft because you use pathagoren therom.

a^2 + b^2 = c^2

Answer:

The question cut off but I'm assuming this is basically just a find the area of the shaded region type of question. First thing you need to do is calculate the areas of the right triangle and the rectangle. Subtract the area of the triangle from the area of the rectangle.

Area of rectangle: 8 x 7 = 56ft^2

Area of the triangle: (6 x 2)/2 = 6ft^2

Subtract 6ft^2 from 56ft^2 and you get:

56 - 6 = 50ft^2

Area of shaded region is 50ft^2

Answer:

m = -1/2

Step-by-step explanation:

let me know if it helped

(too lazy to write a explanation)

Answer:

A. x = 4

B. RQ = 6

C. 48 square units

Step-by-step explanation:

A. 3x - 2 = 10

3x = 12

x = 12/3

B. a^2 + b^2 = c^2

8^2 + b^2 = 10^2

64 + b^2 = 100

b = sqrt (100 - 64

b = 6

C. Area of a triangle = (b*h)/2

b = (2)(6) = 12

Area = (12 * 8)/2 = 48 square units

Answer:

1/2      50%      $250

Step-by-step explanation:

Answer:

250$, or in fraction form, 1/2

Step-by-step explanation:

There are 2 people, so divide 1 whole by 2. Which is .5, or 1/2

Answer:

9 men

Step-by-step explanation:

men: women : total

3          8            3+8

3          8               11

There are 24 women

24/8 = 3

Multiply each term by 3

men: women : total

3*3      8*3         11*3

9           24         33

There are 9 men at the recital

if any doubt leave a comment

Step-by-step explanation:

how do we find the difference between 2 numbers ? by subtracting one from the other.

p - 6 = -14

p = -8