MATHEMATICS
HIGH SCHOOL

Answer:

ANSWER

x+y=1

EXPLANATION

We want to find the equation of line CD which passes through (0, 1) and is parallel to x + y = 3.

In slope intercept form, the given line is

y=-x+3

The slope of this line is m=-1

Line CD also has the same slope

The equation is given by:

y=mx+b

The given point (0,1) means the y-intercept;is b=1

Hence the equation is

y=-x+1

In standard form the equation is:

x+y=1

Answer:

Answer:

The answer is x + y = 1

Step-by-step explanation:

Given: Line CD passes through (0, 1) and is parallel to x + y = 3.

We know that if two line are parallel then they have equal slopes.

Thus, the slope of line = slope of line x + y = 3

x + y = 3 when we compare this to the standard linear equation

= 3 - x

y = m x + c .we get m = -1 .

The slope of CD (m)= -1

Now, the equation of line CD passing through (0,1) is given by :-

( y - 1 ) = m ( x - 0 )

⇒ ( y - 1 ) = ( -1 ) x

⇒ x + y = 1

The equation of line CD = x + y = 1

MIDDLE SCHOOL

The blades of a windmill turn on an axis that is 35 feet above the ground. The blades are 10 feet long and complete two rotations every minute. Which of the following equations can be used to model h, the height in feet of the end of one blade, as a function of time, t, in seconds? Assume that the blade is pointing to the right, parallel to the ground at t = 0 seconds, and that the windmill turns counterclockwise at a constant rate.

Answer:

h = 10sin(π15t)+35

Step-by-step explanation:

The height of the blade as a function f time can be written in the following way:

h = Asin(xt) + B, where:

B represets the initial height of the blade above the ground.

A represents the amplitud of length of the blade.

x represents the period.

The initial height is 35 ft, therefore, B = 35ft.

The amplotud of lenth of the blade is 10ft, therefore A = 10.

The period is two rotations every minute, therefore the period should be 60/4 = 15. Then x = 15π

Finally the equation that can be used to model h is:

h = 10sin(π15t)+35

Answer- C.) h = 10sin(π/15t)+35

Step-by-step explanation-

The equation should be equal expressed as C.) h = 10sin(π15t)+35 where 35 represents the initial height of the blade above the ground. The 15π represents the period. It is said that the blades complete two rotations every minute. Hence the period should be 60/4 equal to 15. 10 represents the amplitude of length of the blades.

MIDDLE SCHOOL

If y varies directly as x and y = 16 when x = 36 find y when x =54

Answer:

24

Step-by-step explanation:

54/36=1.5

1.5*16=24

MIDDLE SCHOOL

Each letter of the alphabet is printed on an index card. What is the theoretical probability of randomly choosing any letter except Z? Write your answer as a fraction or percent rounded to the nearest tenth. The theoretical probability of choosing a letter other than Z is

for z the fraction value is 1/26 and for other letters then Z is 25/26

MIDDLE SCHOOL

1 less than a number n is less than 11

Answer:

12

Step-by-step explanation:

If we assign the value of 12 to n,

12 - 1 = 11

You know that n has to be subtracted by one so you get n-1. From there you know that it needs to be an inequality so you get

n-1

n-1

MIDDLE SCHOOL

Sixty-four players signed up for a tennis tournament. A player is eliminated upon losing a match. How many matches must be scheduled to determine the tournament champion?

So it needs to be:

64/2=32

32/2=16

16/2=8

8/2=4

4/2=2

2/2=1

So there need to be 7 rounds.

Hope this helps :)

64/2=32

32/2=16

16/2=8

8/2=4

4/2=2

2/2=1

So there need to be 7 rounds.

Hope this helps :)

MIDDLE SCHOOL

What is 7/3 x 2/4?????

Hello,

The answer to your question is:

Mark brainliest if helped!

The answer to your question is:

Mark brainliest if helped!

7/3 ×2/4 = 14/12 = 7/6.

HIGH SCHOOL

If sin(x) = 1/3 and sec(y) = 17/15 , where x and y lie between 0 and π/2, evaluate the expression using trigonometric identities. (enter an exact answer.) "sin(2y)"

Answer: sin2y =240/289 where 0

MIDDLE SCHOOL

What is the x-coordinate of the solution of the following system of equations? 3x + 2y = 12

x = -y + 2

Plug in the x value from the second equation

3(-y+2)+2y=12

use distributive property.

-3y+6+2y=12

since the y values are in the same side of the = sign, just put them together.

-y+6=12

subtract 6 from 6 and 12.

-y=6

since the equation has a negative y, divide what is left by -1.

y= -6.

that is the y value. now plug that in to the first equation.

3x+2(-6)=12

multiply.

3x-12=12add 12 to both 12s

3x=24

divide.

x=8.

the ordered pair is (8, -6), and the x value is 8.

3(-y+2)+2y=12

use distributive property.

-3y+6+2y=12

since the y values are in the same side of the = sign, just put them together.

-y+6=12

subtract 6 from 6 and 12.

-y=6

since the equation has a negative y, divide what is left by -1.

y= -6.

that is the y value. now plug that in to the first equation.

3x+2(-6)=12

multiply.

3x-12=12add 12 to both 12s

3x=24

divide.

x=8.

the ordered pair is (8, -6), and the x value is 8.

MIDDLE SCHOOL

Does 1/8 and 3/20 form a proportion

1/8

3* 1 / 8 * 3

3/24

1/8 = 3/24

3/24 ≠ 3/20

Since 3/24 ≠ 3/20, 1/8 and 3/20 do not form a proportion.

3* 1 / 8 * 3

3/24

1/8 = 3/24

3/24 ≠ 3/20

Since 3/24 ≠ 3/20, 1/8 and 3/20 do not form a proportion.