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bazaltina [42]
3 years ago
15

C

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
8 0

Answer:

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

Step-by-step explanation:

After counterclockwise 90 degree rotation X and Y coordinate swap and X coordinate changes its sign

Rotation of 90° (CounterClockwise) (x, y) ----->(-y, x)

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the ordered pairs (0,-1),(1,0),(2,3),(3,8),(4,15) represent a function what is a rule that represents this function? Please help
yarga [219]

Answer:

The function rule is

f:  x\to \:  {x}^{2}  - 1

Step-by-step explanation:

The given ordered pairs are (0,-1), (1,0),(2,3),(3,8),(4,15)

We can observe the following pattern.

f(0) =  {0}^{2}  - 1 =  - 1

f(1) =  {1}^{2}  - 1 = 0

f(2) =  {2}^{2}  - 1 = 3

f(3) =  {3}^{2}  - 1 = 8

f(4) =  {4}^{2}  - 1 = 15

When we generalize this pattern, we obtain:

f(x) =  {x}^{2}  - 1

This is the function equation.

The function rule is

f:  x\to \:  {x}^{2}  - 1

8 0
3 years ago
Need help asap for geometry​
kupik [55]

Answer:

35

Step-by-step explanation:

40=1/2(115-x)

80=115-x

-35=-x

x=35

4 0
3 years ago
Read 2 more answers
three distinct vertices of a cube are to be randomly chosen what is the probability that they will be the vertices of an equilat
jasenka [17]

The triangle formed by the vertices would be equilateral if the sides of the triangle coincide with the diagonals of the square face that defines the cube. See the attached sketch if that description is unclear.

Count the number of equilateral triangles that are possible. Such a triangle will always use up 3 vertices of the cube, and separate 1 vertex from the remaining 4. This means there are as many equilateral triangles as there are corners in the cube: 8.

Count the total number of triangles that can be made. From the 8 available vertices, we only need 3. If we fix 3 vertices, it doesn't matter in which order we connect them to make a triangle, so we count the number of combinations of 8 vertices taking 3 at a time, which is

\dbinom 83 = \dfrac{8!}{3!(8-3)!} = 56

Then the probability of forming an equilateral triangle is 8/56 = 1/7.

3 0
2 years ago
Sasha selected a random sample of bivariate data, with a sample size of 30, and calculated a slope of 3.6 for the sample slope o
Brrunno [24]
D or e is the correct answer
8 0
3 years ago
Read 2 more answers
I need 85 and 86 pleas because I am not in algebra so solve now please
jasenka [17]

85) I gonna do substitution to solve them.

First lets find number of boys.

boys = x

girls = x - 5

27 = x + x - 5 --) 27 = 2x - 5 --) 32 = 2x --) 16 = x

There are 16 boys.

Now do the opposite with girls.

boys = x + 5

girls = x

27 = x + x + 5 --) 27 = 2x + 5 --) 22 = 2x --) 11 = x

There are 11 girls.

86) I gonna do subsitution to solve this problem too.

x + y = 82

6x + 2y = 284

First find # of car magnets

y = -x + 82

6x + 2( -x + 82 ) = 284 --) 6x - 2x + 164 = 284 --) 4x + 164 = 284 --) 4x = 120 --)

x = 30

There are 30 car magnets.

x = -y + 82

6( -y + 82 ) + 2y = 284 --) -6y + 492 + 2y = 284 --) -4y + 492 = 284 --) -4y = -208 --) 4y = 208 --) y = 52

There are 52 bumper stickers

4 0
3 years ago
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