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Luda [366]
3 years ago
14

Please click on the photo and help

Mathematics
2 answers:
Dimas [21]3 years ago
5 0

Answer:

Crescent = 3, drop = 6, heart = 3, square = 0

Step-by-step explanation:

Assign each symbol a variable and set up an equation

Crescent = a

Drop = b

Heart = c

Square = d

There’s a few different ones we can set up here

2b + d = b + 2a

2a + 3b + d = c + a + 2b

a + c = b

2b + d = b + 2a can be simplified to

b + d = 2a we can do something with this and a + c = b

a = b - c

d = 2a - b

c = b - a

b = a + c

If you work out this system of equation you get the answer at the top

Leya [2.2K]3 years ago
3 0

Answer:

moons: 3

droplets: 5

hearts: 1

squares: 1

nvm dont use this

Step-by-step explanation:

You might be interested in
Write this fraction in index form
expeople1 [14]

Answer:

7^{-1/5}

Step-by-step explanation:

\frac{1}{\sqrt[5]{7}}=\frac{1}{7^{1/5}}=7^{-1/5}

6 0
11 months ago
The coordinates of polygon ABCD are A(-4,-1), B(-2,3), C(2,2), and D(4,-3). Use these coordinates to complete the sentences belo
PolarNik [594]

Answer:

The perimeter of polygon ABCD, to the nearest thousandth units is

22.227 units

The perimeter of polygon ABCD', to the nearest thousandth, would be 20.980 units

The area of polygon ABCD' is 19.5 units²

Step-by-step explanation:

The coordinates forming the polygon are

A (-4,-1), B(-2,3), C(2,2), and D(4,-3)

The perimeter then is given by the sum of the length of the sides as follows;

Length of line between two X and Y points distance, xi and yj apart is

length XY =  \sqrt{x^2+y^2}

Therefore, the length between points AB is

length AB = \sqrt{(-4 - (-2))^2+(-1-3)^2}

= \sqrt{(-4 +2)^2+(-4)^2} = \sqrt{-2^2+-4^2}  = \sqrt{20}  = 4.472 units

Similarly, length BC is given by

Length BC =  \sqrt{(-4)^2+1^2} =  \sqrt{17} = 4.123 units

Length CD = \sqrt{(-2)^2+5^2} =  \sqrt{29} = 5.385 units

Length DA = \sqrt{(8)^2+(-2)^2} =  \sqrt{68} = 8.246 units

The perimeter is equal to;

length AB + Length BC + Length CD + Length DA

= 4.472 + 4.123 + 5.385 + 8.246 = 22.227 units

If the point D is moved up 2 units and left 1 unit we have

D' = x-1, y+2 where x and y are the coordinates of point D

D(4, -3) → D'((4-1), (-3+2)) = D'(3, -1)

The length D'A =  \sqrt{(7)^2+(0)^2} =  \sqrt{49} =7 units

The perimeter of polygon ABCD'

length AB + Length BC + Length CD + Length D'A

= 4.472 + 4.123 + 5.385 + 7 = 20.980 units.

The area is given by the determinant of the 3 by 3 matrix using Cramer's Rule as follows

 S_{\bigtriangleup} = (\frac{1}{2})|x_1y_2+x_2y_3+x_3y_1-x_1y_3-x_2y_1-x_3y_2|

= (\frac{1}{2})|x_1(y_2-y_3)+x_2(y_3-y_1) +x_3(y_1-y_2)|

Triangle ABC we have

A(-4,-1)

B(-2,3)

C(2,2)

S_{{\bigtriangleup}ABC} = (\frac{1}{2})|x_1(y_2-y_3)+x_2(y_3-y_1) +x_3(y_1-y_2)|

=(\frac{1}{2})|(-4)(3-2)+(-2)(2-(-1)) +2((-1)-3)|

= =(\frac{1}{2})|-4-6 -8|= 9 units^2

Triangle ACD'

A(-4,-1)

C(2,2)

D'(3, -1)

S_{{\bigtriangleup}ACD'} = (\frac{1}{2})|x_1(y_2-y_3)+x_2(y_3-y_1) +x_3(y_1-y_2)|

=(\frac{1}{2})|(-4)(2+1)+(2)(-1+1) +3((-1)-2)| = \frac{21}{2} = 10.5 units²

Area of polygon =   S_{{\bigtriangleup}ABCD'} = S_{{\bigtriangleup}ABC} + S_{{\bigtriangleup}ACD'} = (9 + 10.5) units²

Area of polygon ABCD' = 19.5 units².

8 0
3 years ago
Use the distributive property to write an equivalent expression.<br> 7(1 – 10s + 8)
Ne4ueva [31]

Answer:

The answer is = −70s+63

Step-by-step explanation:

7(1−10s+8)

=(7)(1+−10s+8)

=(7)(1)+(7)(−10s)+(7)(8)

=7−70s+56

=−70s+63

5 0
2 years ago
The graphed line can be expressed by which equation?
earnstyle [38]

Answer:

The Answer is: y = 2/3x - 2/3

Step-by-step explanation:

Given points: (4, 2) and (-2, -2)

Find the slope m:

m = y - y1 / (x - x1)

m = 2 - (-2) / (4 - (-2))

m = 2 + 2 / (4 + 2)

m = 4 / 6 = 2/3

Use the point slope form, substitute the point (4, 2) and solve for y to get the point slope form:

y - y1 = m(x - x1)

y - 2 = 2/3(x - 4)

y - 2 = 2/3x - 8/3

y = 2/3x - 8/3 + 6/3

y = 2/3x - 2/3

Proof:

f(-2) = 2/3(-2) - 2/3

= -4/3 - 2/3 = -6/3 = -2, giving (-2, -2)

Hope this helps!! Have an Awesome Day!! :-)

4 0
3 years ago
Help Please!
Debora [2.8K]

Answer:

1) D

2) False

Step-by-step explanation:

7 0
3 years ago
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