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3 years ago

A line the contains the point (-3,6) and (5,10)

Mathematics

1 answer:

wlad13 [49]3 years ago

5 0

Ok so for slope it's difference in y dividing by the difference of x. The difference of y is 10 - 6 which is 4, and the change in x is 5 - (-3) which is 8. Dividing 4 by 8 gets us 1/2. So the slope is 1/2. Slope intercept form would be y = mx + b, and the slope is 1/2 so it'd be y = (1/2)x + b. Plug in a point and you get b = 15/2. So the final slope intercept form would be y = (1/2)x + 15/2. For point slope form just put in a point and slope and you get y - 6 = (1/2) × (x + 3). Standard form would have to be arranged from slope intercept. So multiplying 2 to the slope intercept form we get 2y = x + 15. Subtracting x we get -x + 2y = 15. In standard form we don't want x to be negative so just multiply by negative one and we get x - 2y = -15.

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The equation h = 7 sine (startfraction pi over 21 endfraction t) 28 can be used to model the height, h, in feet of the end of on

9966 [12]

The windmill's blade measures 7 feet in length.

<h3>What is an equation?</h3>

An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =.

To find the measure of the windmill's blade:

We have the equation: $h=sin(\frac{\pi }{21t} )+28$
At the time 't' = 0, the end of the blade is parallel to the ground and pointing to the right, indicating that it is the same height as the other end. (Ф = 0°)
We may calculate the length of the blade by calculating the greatest height of this end at = 90°.
We now know that the general model equation of a circular simple harmonic motion is written as follows: y = A sinωt + k
Where A is the maximum displacement from mean to maximum position
The angular frequency is ω.
When eq1 and eq2 are compared:
A = 7
As a result, the difference in blade end height at = 0° and = 90° is 7 feet.

Therefore, the windmill's blade measures 7 feet in length.

Know more about equations here:

brainly.com/question/2972832

#SPJ4

The correct question is given below:

The equation h=7sin(pi/21t)+28 can be used to model the height, h, in feet of the end of one blade of a windmill turning on an axis above the ground as a function of time, t, in seconds. How long is the blade? Assume that the blade is pointing to the right, parallel to the ground, at t = 0, and that the windmill turns counterclockwise at a constant rate. 7 feet 14 feet 21 feet 28 feet

4 0

2 years ago

What is the answer now in two minutes

Wittaler [7]

Answer:

60 degrees

Step-by-step explanation:

Cos of 60 is 1/2, unit circles helps with this.

4 0

3 years ago

Solve the equation by factoring: x2 − 7x + 12 = 0

Gnoma [55]

Answer:

x = 3 . . . or . . . x = 4

Step-by-step explanation:

The factored form is ...

(x -3)(x -4) = 0

The zero product rule tells you the solutions are the values of x that make the factors be zero:

x = 3

x = 4

_____

Comment on factoring

When the leading coefficient is 1, the coefficient of the x-term is the sum of the constants in the binomial factors, and the constant term is their product. You can see this by multiplying out the generic case:

(x +a)(x +b) = x^2 +(a+b)x + ab

What this means is that when you're factoring, you're looking for factors of the constant that add up to give the coefficient of the x-term. Here, the x-term is negative and the constant is positive, so both factors will be negative.

12 = -1×-12 = -2×-6 = -3×-4

The sums of these factor pairs are -13, -8, -7. Clearly, the last pair of factors of 12 will be useful to us, since that sum is -7. So, the binomial factors of our equation are ...

(x -3)(x -4) = 0

___

If the leading coefficient is not zero, the method of factoring is similar, but slightly different. Numerous videos and web sites discuss the method(s).

7 0

3 years ago

In the triangle below, ∠Q is a right angle. Which ratio would be equivalent to the ratio of sin∠R?

MrMuchimi

Answer:

b) cos∠S

Step-by-step explanation:

sin ∠R = SQ/SR

cos S

Correct option is b)

4 0

3 years ago

Select the graph that represents the inequality <br><br> 2x + 3y <= 6

Tanzania [10]

I think the answer is B, the one with a complete line and shaded to the bottom

8 0

3 years ago

Read 2 more answers