1. Uma escada possui comprimento igual a 30m. Sabe-se que ela se encontra encostada em um muro, formando com este um ângulo de 60º. Podemos afirmar que a altura da escada, em m. é igual am:

Answer:

x = -3

y = 7

Step-by-step explanation:

x + 3y = 18

-3x - 12y = -75

multiply first equation by 4

4 × (x + 3y) = 18 ➡ 4x + 12y = 72

now add the two equations up

4x + 12y - 3x -12y = 72 - 75 (-12y will eliminate 12y)

x = -3

Answer:

Step-by-step explanation:

Attached is the sample space for rolling two dice

Answer:

The last one

Step-by-step explanation:

Answer:

4 is the correct answer, I believe.

Reasoning:

The first line must be graphed with a constant y of 3, and stop before -2. Which it does on all 4 graphs.

The third line must, when extended, pass through point (0, -3). Only graph 1 and 4 follow that criteria, so it is not 2 or 3.

The second line's y-intercept must be 2, as well as begin at -2 and end before 2. Only graph 4 correctly plots this equation.

I hope this helps! :)

Answer:

46800

Step-by-step explanation:

46821 nearest 100s

look for the tens it is less than 5 so its 800 and the numbers written before the 100s would remain the same

answer is 2.

x is divided by 28 and 7 is divided by x

after that cut 28 by 7

and the anwer will be x square = 4

and the square will go to 4

and four will be root 4

and the answer will be x = 2

Answer:

Step-by-step explanation:

let K be ken's number of marbles

K<10

Ken's number of marbles are fewer than Joe's number of marbles

Answer:

x <10

Step-by-step explanation:

Ken = x

Joe = 10

because  Ken has fewer marbles than Joe and Joe has 10

x <10

Answer:

The answer is 6x^2+9x-15

Answer:

6x^2 + 9x -15x

Step-by-step explanation:

This may seem hard, but it is actually very simple.

When you think of area, you think of multiplying.

The equation for this rectangle is: 3(2x^2+3x-5)

Why is 3(2x^2+3x-5) the equation?

You are basically multiplying the height (3) and all the widths (2x^2, 3x, and -5)

3 x 2x^2 is 6x^2.

3 x 3x is 9x (3 x 3 = 9)

-5 x 3x is -15x (5 x 3 = 15, plus the negative sign)

Now, you will combine the answers and get 6x^2 + 9x -15x

Answer:

Step-by-step explanation:

3+5+2=10

3/10 x 300=£90

3/10 x300=£150

2/10 x300=£60

Mary receives £150

Answer:

Center → (1, -3)

Radius → 5 units

Step-by-step explanation:

Equation of the given circle is,

x² + y² - 2x + 6y - 15 = 0

Now convert this equation into the standard equation of the circle

x² - 2x + y² + 6y - 15 = 0

x² -2x + 1 - 1 + y² + 2(3)(y) + 9 - 9 - 15 = 0

(x² - 2x + 1) - 1 + (y² + 2(3y) + 9) - 9 - 15 = 0

(x - 1)² + (y + 3)² - 10 - 15 = 0

(x - 1)² + (y + 3)² = 25

(x - 1)² + (y + 3)² = 5²

By comparing this equation with the standard equation of the circle,

(x - h)²+ (y - k)² = r²

Where (h, k) is the center and r is the radius of the circle.

Center of the circle → (1, -3)

Radius of the circle → 5 units

Answer:

117.00

Step-by-step explanation:

I = prt  where i is the interest , p is the principal r is the rate and t is the time in years

2 years 6 months is 2.5 years

I = 1200 * .039* 2.5

I =117

Answer:

a) y = 4x^2

Step-by-step explanation:

Because in a) y = 4x^2 the degree of equation is 2.

Answer:

The correct answer is a) (6, 3).

Step-by-step explanation:

The midpoint is determined in straight lines by subtracting the larger x-coordinate value and the smaller x-coordinate value. In this case, it is 10 - 2. You earn 8. Then, divide this answer by 2. So, you get 4. Finally, either subtract this from the larger x or the smaller x. You will earn 6. Since you are solving for a straight line, your y-coordinate will be the same as the others. Therefore, A is your answer.

The answer is (6,3)

please see attached picture for full solution

Hope it helps

Good luck on your assignment

Stay safe..

Answer:

y = - 3x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (0, - 1) ← 2 points on the line

m = [tex]\frac{-1-2}{0+1}[/tex] = - 3

The line crosses the y- axis at (0, - 1) ⇒ c = - 1

y = - 3x - 1 ← equation of line

Answer:

300 euros

Step-by-step explanation:

1200 x 5 x 5=30000/100=300

Answer:

£1531.53

Step-by-step explanation:

Times 1200 by 1.05 then times the new answer by 1.05 until done 5 times

Answer:

Step-by-step explanation:

cause 100 cats can catch 100 bunnies in 300 min

Answer:

[tex] A) \: x = - 10 \\ B) \: x = 7 [/tex]

Step-by-step explanation:

[tex]A) \\ = > 2(x + 3) = x - 4 \\ \\ = > (2 \times x) + (2 \times 3) = x - 4 \\ \\ = > 2x + 6 = x - 4 \\ \\ = > 2x - x + 6 = - 4 \\ \\ = > x + 6 = - 4 \\ \\ = > x = - 4 - 6 \\ \\ = > x = - 10 \\ \\ \\ B) \\ = >4(5x-2)=2(9x+3) \\ \\ = > (4 \times 5x) - (4 \times 2) = (2 \times 9x) + (2 \times 3) \\ \\ = > 20x - 8 = 18x + 6 \\ \\ = > 20x - 18x - 8 = 6 \\ \\ = > 2x - 8 = 6 \\ \\ = > 2x = 6 + 8 \\ \\ = > 2x = 14 \\ \\ = > x = \frac{14}{2} \\ \\ = > x = 7[/tex]

Answer:

The length and width of the rectangle are 23 m and 7 m respectively.

Step-by-step explanation:

P = 2L + 2W

P (perimeter of the rectangle) = 60 m

L (length of the rectangle) = 2 + 3W. W is the width of the rectangle

Therefore, L = 2 + 3W

P = 2L + 2W

60 = 2(2 + 3W) + 2W

60 = 4 + 6W + 2W

60 - 4 = 8W

56 = 8W

W = 56/8 = 7 m

L = 2 + 3W = 2 + 3(7) = 2 + 21 = 23 m

L = 23 m

W = 7 m

Answer:

B

Step-by-step explanation:

If they have no solutions, the lines must not intersect.

If they don't intersect, they must be parallel

Answer:

Congruent angles have the same angle and side measure. Thus angle Q is 47 degrees and PR is 9 cm.

Step-by-step explanation:

Answer:

Width: 2x+1

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

4(5n-7)+10n+2

Distribute

20n -28 +10n+2

Combine like terms

30n-26

Assuming you meant =

4(5n-7)=10n+2

Distribute

20n -28 =10n+2

Subtract 10n from each side

20n-10n-28 = 10n-10n+2

10n-28 =2

Add 28 to each side

10n-28+28=28+2

10n=30

Divide by 10

10n/10 =30/10

n=3

9(x+3)=4x-3

Distribute

9x+27 = 4x-3

Subtract 4x from each side

9x-4x+27 = 4x-4x-3

5x +27 =-3

Subtract 27 from each side

5x+27-27 = -3-27

5x = -30

Divide by 5

5x/5 = -30/5

x=-6

2(12-8x)=x-11x

Combine like terms

2(12-8x) = -10x

Divide by 2

12-8x = -5x

Add 8x to each side

12-8x+8x = -5x+8x

12 = 3x

Divide by 3

12/3 =3x/3

4=x

Answer:

See explaination

Step-by-step explanation:

Assuming that these are three different problems:

1) 4(5n-7) = 10n+2

Distribute:

4(5n-7) = 10n+2

20n - 28 = 10n + 2

Combine like terms, isolate, and solve:

10n = 30

n = 3

2) 9(x+3) = 4x-3

Distribute:

9(x+3) = 4x-3

9x+27 = 4x - 3

Combine like terms, isolate, and solve:

5x = -30

x = -6

3) 2(12-8x) = x-11(i assumed the extra x was a typo)

distribute:

24-16x = x-11

Combine like terms, isolate, and solve:

35 = 17x

x = 35/17

Answer:

I think that y=17.5 when x=7

The required coordinate of the point N is (-5, -1). Option b is correct.

Given that,
Segment MN is drawn in the coordinate plane. Point M has coordinates (13,9) and the midpoint of MN is the point (4.4). What are the coordinates of point N to be determined.

Coordinate, is represented as the values on the x - axis and y - axis of the graph

Let the coordinate of point N is (x, y).
Here, point M has coordinates (13,9) and the midpoint of MN is the point (4.4).

The Coordinate of the midpoint is given as,
(4 = (x + 13)/2, 4 = (y + 9 )/2)
(x = 8 - 13, y = 8 - 9)
(x = -5 , y = -1 )
Coordinate of point N is (x, y) = (-5, -1)

Thus, the required coordinate of the point N is (-5, -1).

Learn more about coordinate here:

brainly.com/question/13498438

#SPJ2

Answer:

identity property of addition-

a+0=a

identity property of multiplication-

a*1=a

Step-by-step explanation:

i cant give u an exact answer as u didnt give Micheals answers so i just gave some examples about what addition and multiplication identity property should look like. Identity property's concept is to keep the same identity. Basically, "a" shouldnt change. In addition, to keep a the same all u hv to do is add 0 as anything plus 0 is the same. for multiplication, just multiply by 1. Hope this helps!!

Answer:

He should have added 0 to 8 and multiplied 1 by 8

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

srry

Answer:if you are looking for the hypotenuse use Pythagoras theorem 17.2047

Step-by-step explanation:square both the base and height .Add their total then find the square root

Answer:

B. 4 would be your answer.

Step-by-step explanation:

7 x 3 = 21

4 x 3 = 12

:)

Answer:

B. 4.

Step-by-step explanation:

Let the number be x then

x/7 = 12/21

Crossmultiply:

x = 7*12 / 21

x =  12 / 3 = 4.

Answer:

the inverse is f^-1(x)=3x+6

Step-by-step explanation:

Answer:

A: X=1

Step-by-step explanation:

If DE=2, and E to C is of the same line but is less than half of DE, it has to be the smallest number possible. 6(1)-8=-2