Determine the equation of the line given by the graph. A) y = 5 3 x − 4 B) y = 3 5 x − 4 C) y = − 5 3 x + 4 D) y = − 3 5 x + 4

Its D

Answer:

B. Tangent

Step-by-step explanation:

Tangent always makes 90 degree angle with the radius. Now in triangle let's see if it's right angled triangle or not.

To confirm if it's a right angled triangle it should follow Pythagoras Theorem.

Which states square of hypotenuse = sum of squares of other two legs

[tex]12 {}^{2} + 16 {}^{2} = 20 { }^{2} \\ 144 + 256 = 400 \\ 400 = 400[/tex]

it proves that it's a right angled triangle. Hence AB is a tangent to circle.

Yes, line AB is tangent to the circle.

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Since, Tangent always makes 90 degree angle with the radius.

Hence, in triangle we can see if it's right angled triangle or not.

Now, To confirm if it's a right angled triangle it should follow Pythagoras Theorem as;

12² + 16² = 20²

144 + 256 = 400

400 = 400

Which states square of hypotenuse = sum of squares of other two legs

it proves that it's a right angled triangle. Hence AB is a tangent to circle.

Hence, We can say that;

⇒ line AB is tangent to the circle.

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Answer:

D. direct variation

Step-by-step explanation:

Answer:

yes it is direct variation

Step-by-step explanation:

well I'm sorry I Don't know if it's going to be step by step but my own understanding is that what ever happens on one side will affect the other side so if there is an increase in A there will be an increase in B so there's a form of equilibrium. so let's say we throw two stones A and B into a fast flowing river we expect that the water will flow so the more the velocity of the river the faster the stone will flow so as the river is flowing the stone is floating as well but an indirect variation as the river increases it's velocity the stone decreases it's movement so in direct variation as the river increases it's velocity the stone does as well. I hope this is well detailed and I answered your question , thank you

Answer:

x = 5.2

Step-by-step explanation:

Its because 8 / 2 = 4 so that means 5.2 / 2 = 2.6 :)

(You might wanna check because im not sure)

Answer:

10 students

Step-by-step explanation:

Hope this helps!

BC = 8i + 6

This is the answer for the first question, i'm so so sorry but i'm not sure what the answer is to the second one.

Answer:

2/3

(-4, 2) and (-16, -6)

slope = m = (y2 - y1) / (x2 - x1) = (-6 - 2) / (-16 - -4) = -8 / -12 = 2 / 3 = 0.667

I hope you got it right :)

Answer:

Answer:

how much people are there

... . . ..........

Answer:

(0,9),(9,2)

Step-by-step explanation:

Answer:

I think it's 2

Step-by-step explanation:

Answer:

1/11 is correct.

Step-by-step explanation:

You can see that the 3 is spun 2 times, but we need to know how many times he spun in total.

2 + 3 + 2 + 4 + 5 + 2 + 1 + 3 = 22

2/22 = 1/11

Have a nice day!

Answer: look at the 2 picture

Step-by-step explanation: Hope this help :D

Answer:

10%×200=20

Step-by-step explanation:

25%×200=50

35%×200=70

Answer:

0.9945 = 99.45% probability that the student answers at most four questions correctly

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the student answers correctly, or he/she does not. The probability of the student answering a question correctly is independent of any other question. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A quiz consists of six multiple choice questions.

This means that [tex]n = 6[/tex]

Each question has four choices. Student guesses randomly.

This means that [tex]p = \frac{1}{4}[/tex]

What is the probability that the student answers at most four questions correctly?

This is:

[tex]P(X \leq 4) = 1 - P(X > 4)[/tex]

In which

[tex]P(X > 4) = P(X = 5) + P(X = 6)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{6,5}.(0.25)^{5}.(0.75)^{1} = 0.0053[/tex]

[tex]P(X = 6) = C_{6,6}.(0.25)^{6}.(0.75)^{0} = 0.0002[/tex]

[tex]P(X > 4) = P(X = 5) + P(X = 6) = 0.0053 + 0.0002 = 0.0055[/tex]

[tex]P(X \leq 4) = 1 - P(X > 4) = 1 - 0.0055 = 0.9945[/tex]

0.9945 = 99.45% probability that the student answers at most four questions correctly

Answer:

Option B, 42°

Hope this helps!

The measure of ∠LMQ = 42°.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

In the ΔQMR,

The sum of all the angles is 180°.

65° + 45° + ∠RMQ = 180°

∠RMQ = 70°

In the ΔMNL,

The sum of all the angles is 180°.

65° + 45° + ∠LMN = 180°

∠LMN = 68°

That means,

measure of angle LMQ = 180° - ∠LMN - ∠RMQ

∠LMQ = 180° - 138°

∠LMQ = 42°

Therefore,  ∠LMQ = 42°.

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I dont understand the question

Answer:

59,280

Step-by-step explanation:

the answer is base in my previous learning.. hope it helps..

Answer:

X=7

Step-by-step explanation:

Perimeter =2 x(length+width)

2(3x-9+x)=38

4x-9=19

4x=28

x=7

Answer:

x² - 2x - 180 = 0

Step-by-step explanation:

A square piece of paper has an area of x² square units

w = x

l = x

A rectangular strip with a width of 2 units and a length of x units is cut off of the square piece of paper.

this leaves

l = x

w = x - 2

x(x - 2) = 180

x² - 2x = 180

x² - 2x - 180 = 0

Answer:

x2 − 2x − 120 = 0

Step-by-step explanation:

A square's area is calculated by multiplying each side's length by itself. That is, Area A = s x s, with s denoting the length of each square side. A square with each side measuring 8 feet in length has an area of 8 times 8, or 64 square feet.

Let x  the length side of the original square paper

we know that the area of the original square paper is equal to

[tex]A1=x*x=x^{2} units{2}[/tex]

the area of the remaining piece of paper is equal to

[tex]$A 2=x^{2}-2 x$\\$A 2=120$ units $^{2}$[/tex]

so

[tex]$x^{2}-2 x=120$$x^{2}-2 x-120=0$[/tex]

therefore, the side length of the original square is x2 − 2x − 120 = 0

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Answer:

Option C

Step-by-step explanation:

System of equations have been given as,

y - 4x = 16

y = 4x + 16 ------(1)

By comparing with slope-intercept form of the linear equation,

y = mx + b

Here, m = slope of the line

b = y-intercept

Therefore, m₁ = 4

2y = 8x + 16

y = 4x + 8 -------(2)

Slope of the line m₂ = 4

m₁ = m₂

Therefore, both the lines are parallel and both will not intersect each other.

Hence, there will be no solution of the system of equations.

Option C will be the correct option.

Answer:

we have

b=3mm

c=5mm

a=?

angle =62°

By using cosine rule.

a²=b²+c²-2bc cos angle

a²=3²+5²-2×3×5 cos 62°

a²=19.92

a=√19.92

a=4.5

I had choose cosine rule.

Answer:

3.5 or -1 first of all know the formula method , I Don't have the right symbols so I don't want to confuse you so the number infront of x^2 or any alphabet with a square is a , b is the number infront of the letter without a square and c is the single number without an alphabet, this is the easiest formula compared to factorization method so check online or your textbook for the formula

Answer:

1:10 [simplified from 4:40)

Step-by-step explanation:

4 pencils+ 12 marker+ 24 crayons=40

4 pencils: 40 items

1 pencil : 10 items

i dunno if this was right but there you gooo lol</3

Answer:

The numerator factors to

[tex](x + 2)(x - 1)[/tex]

The denomenator factors to

[tex](x + 4)(x - 1)[/tex]

Answer:

b

Step-by-step explanation:

Option C, [tex]\left(\dfrac{\pi}{4},\dfrac{5\pi}{4}\right)[/tex]  is the correct answer such that the function, [tex]f(x)=12sin(x-4\pi)[/tex] where, [tex]x[/tex] is the time in [tex]seconds[/tex] and [tex]f(x)[/tex] is the position of the water wave in [tex]ft[/tex] above and below the normal water level.

The inverse of the function is the mirror image of the function with respect to the dependent variable.

From the figure, the interval of water wave above the normal water level is [tex]\left(\dfrac{\pi}{4},\dfrac{5\pi}{4}\right)[/tex].

So, the interval of the mirror image of the function with respect to the dependent variable [tex]x[/tex] is [tex]\left(\dfrac{\pi}{4},\dfrac{5\pi}{4}\right)[/tex].

As a result, Option C is the correct answer.

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9514 1404 393

Answer:

  x = (A -40)/7

Step-by-step explanation:

Maybe you want to solve for x.

  A = 7x +40 . . . . . given

  A -40 = 7x . . . . . subtract 40

  (A -40)/7 = x . . . divide by 7

The value of x will be ...

  x = (A -40)/7

Answer:

(2) 12√5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

g(x) = 4√x

g(45) is x = 45 for function g(x)

Step 2: Evaluate