What are the angles x?

Answer:

Option C:The skaters path intersect twice, but only one of those points is inside the rink.

Step-by-step explanation:

Coordinates of center of ice rink: (0,0) Radius of ice rink circle = 35 m

We know that the equation of a circle with center coordinates (a,b) and radius of (r) is given as; (x - a)² + (y - b)² = r²

Thus, the total area on which the skaters are skating will be given by the equation;

x² + y² = 35²

Now, we are told the path along which Susan is skating is modeled by the equation: y = 6x - x² - 5

While Luke starts at (10, –21) and skates along a path that can be modeled by a quadratic function with a vertex at (8, –9)

From equation of a parabola, the path along which like is skating can be modeled by;

(x - 8)² = 4a(y + 9)

To find a, we will substitute the coordinate started at to get;

(10 - 8)² = 4a(-21 + 9)

4 = 4a × -12

Divide both sides by 4 to get;

a = -1/12

Thus;

(x - 8)² = 4(-1/12)(y + 9)

(x - 8)² = (-1/3)(y + 9)

This gives: 3(x - 8)² = -(y + 9)

I've drawn the graph on demos and attached it.

From the graph we can see that the skaters points intersect twice but one is inside the rink circle while the other is outside the rink circle. The point at which they intersect outside the rink was slightly cropped out because of size. But it is clearly seen that they are both approaching point of intersection.

Thus, correct answer is Option C.

Answer:

C

Step-by-step explanation:

just took the quiz

-14 is the Determinant of given matrices A.

A scalar value connected to the square matrix is known as the determinant. If X is a matrix, then |X| or Det is used to indicate the matrix's determinant (X).

Given a Mtrix A:

3       1

11     -1

The formula for the determinant of a matrix:

The determinant of a 2x2 matrix A = [ a b c d ] is |A| = ad - bc. It is simply obtained by cross-multiplying the elements starting from the top left and then subtracting the products.

In our case,

Determinants of A = (3 * -1 ) - (1 * 11)

Determinants of A = -3 -11

Determinants of A = -14

Therefore, the Determinant of given matrices A is -14.

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Complete question:

What is the determinant of

A=  3       1

       11     -1

Answer: answer is 155

Step-by-step explanation:

Answer:

Three consecutive even integers are x, x+2, x+4.

Step-by-step explanation:

Their sum is x+x+2+x+4 = 3x+6.

Hope this helped! <3

Answer:

18 meters per second

Step-by-step explanation:

414/23=18

Not trying to be rude but you should know how to do this with or without a calculator

how much was the second one?

Answer:

5 days = 5 * 24 = 120 hours

120 + 18 = 138hours

3450/138 * 24 = 600 watt hours  

600watt hours

Answer:  A)    4x -8 = 128  

Step-by-step explanation:

We will represent the amount that the normal bus carries by   n= x  

We will represent  the amount that the large bus carries by  l = 2x  

We will also represent the amount that the small bus carries by  s = x-8  

Now add them to equal to 128.

x + 2x + x -8 = 128    

    4x -8 = 128  

Answer:

20

Step-by-step explanation:

80% needs 20% more to be 100%  so we devide 16 by 4 to get the awnser for 20% witch is 4 so 16+4 is equal to 80% + 20% so 20

Answer:

20

Step-by-step explanation: 16 you need to 2  more question to get 100 so if you use your brain and imagine doing a test and you get an 80 percent and answered 16 correct go back to the test to see what you have

Answer:

I can't see it very well sorry

Answer: -15, -8, -4, 1, 4, 8

Answer:

Alternate interior angles

Step-by-step explanation:

Angles 4 and 5 are alternate interior angles

Answer:

Simplifying

1.6 + 4x = 14

Solving

1.6 + 4x = 14

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.6' to each side of the equation.

1.6 + -1.6 + 4x = 14 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0

0.0 + 4x = 14 + -1.6

4x = 14 + -1.6

Combine like terms: 14 + -1.6 = 12.4

4x = 12.4

Divide each side by '4'.

x = 3.1

Simplifying

x = 3.1

Step-by-step explanation:

Answer:

U=2, S=1, T=1

Step-by-step explanation:

(Ux²+x-T) (2x-1)=(2x-1)²(x+S)

(Ux²+x-T)=(2x-1)(x+S)=2x²+(2S-1)x-S

U=2

2S-1=1 --> S=1

T=S=1

Answer:

471,000

Step-by-step explanation:

Answer:

Rs 14257.2

Step-by-step explanation:

From the formula;

A= P(1 + i)^n

A= amount

P= principal

i= rate

n= time

A= 12000(1 + 0.09)^2

A=12000(1.09)^2

A=Rs 14257.2

Answer:

7.98x10^3

Step-by-step explanation:

10^3=1000

Answer:7.980 × 10^3

Step-by-step explanation:

Answer:

a rotation of 90° clockwise about the origin followed by translations down 1 unit and left 10 units

Step-by-step explanation:

Rotation of 90° clockwise about the origin followed by translations down 1 unit and left 10 units is the required transformation.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.

We have to show that  triangle ABC could be transformed by which movement(s) to fit exactly on triangle XYZ.

Rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

So if triangle ABC is rotated about 90 degrees clockwise about the origin followed by translated down 1 unit and left 10 units we get XYZ.

Hence,  rotation of 90° clockwise about the origin followed by translations down 1 unit and left 10 units is the required transformation.

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Answer:

slope= 3/4

y intercept= 1/2

Step-by-step explanation:

First find the slope using the formula y2-y1/x2-x1.

the points given: (-6,-4) and (2,2)

so plug in the points into the formula and you'll have:

2-(-4)/2-(-6)=

2+4/2+6=

6/8=

3/4

to find the y intercept, use the formula y-y1=m(x-x1)

y+4=3/4(x+6)

y+4=3/4x+9/2

y=3/4x+1/2

Answer:

1,100

Step-by-step explanation:Well first find the principal first Multiply the rate 0.02 by the time 1 year this gives us 0.02 then divide the interest ($22) by 0.02 then you get $1,100

Answer:

not 1,100 its 1100

Step-by-step explanation:

Answer:

they have the same perimeter.

Step-by-step explanation:

3in × 4 = 12in

4 in × 3 = 12in

Answer: Rejecting the mean weight of each cake as 500 gram when H subscript 0 equals 500

Step-by-step explanation:

Given that :

Null hypothesis : H0 =500

Alternative hypothesis : Ha < 500

Type 1 Error: Type 1 error simply occurs when we reject the Null hypothesis when the Null is true. Alternatively, type 11 error occurs when we fail to reject a false null hypothesis.

Hence, in the scenario above, a type 1 error will occur when we reject the mean weight as 500 even though the Null hypothesis is True.

Answer: A) Rejecting the mean weight of each cake as 500 grams when H₀ = 500.

Step-by-step explanation:

Type I error is when we incorrectly reject a true null hypothesis

Answer:

Jenn runs faster at 9 minutes/mile.

Step-by-step explanation:

Jana runs 3 miles in 1/3 hour.

1/3 hour is equivalent to 1/3*60 = 20 minutes

The ratio time/distance is the reciprocal of the speed and is greater as the speed is lower and vice-versa.

This ratio for Jana is 20/3=16.7 minutes/mile

As for Jenn, she runs 5 miles in 3/4 hour.

3/4 hour is equivalent to 3/4*60=45 minutes

The ratio time/distance is 45/5=9 minutes/mile

Since Jenn has a lower ration, her speed is greater than Jana's, thus Jenn runs faster.

Answer:

     C₁   C₂   C₃   C₄     T

R₁   4     3    3      1      11  

R₂   1     2     1      2      6

R₃   2    3     4      2     11

R₄   1     1      3      1     6

T     8    9      11    6

Step-by-step explanation:

1.-For inspection  column 4 (C₄) is equal to row 2 ( R₂ ), and column 3 (C₃) is equal to row 1 (R₁)

2.- Let´s assume spiral is equal to 1 and the zebra rectangle is equal to 2

star 3 and pentagon 4

     C₁   C₂   C₃   C₄     T

R₁   4     3    3      1      11  

R₂   1     2     1      2      6

R₃   2    3     4      2     11

R₄   1     1      3      1     6

T     8    9      11    6

Rigid motions are, exclusively, rotations, reflections, and translations. If you can move one polygon onto the other by using only those motions, they are congruent. One pentagon can, for example, be translated onto another pentagon, making them congruent. If, after being translated, point A is on point F and B on G and C on H and D on I and E on J, the congruence statement is: [tex] ABCDE\cong FGHIJ.[/tex]

Answer:

5x+3

Step-by-step explanation:

1.  Subtract 1 from 4

4+5x-1

2. Solution

5x+3