Help find average rate of change :)

Step-by-step explanation:

tan 0 = y/x (as a drawing attached)

The requried, y/x is equal to tan θ using coordinates on the unit circle. Option C is correct.

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on a coordinate plane and r is the radius of the circle.

Here,
In a unit circle, the coordinates of a point on the circle are (cos θ, sin θ), where θ is the angle formed by the radius of the circle and the positive x-axis. Therefore, the tangent of θ is given by the ratio of sin θ to cos θ, which is (sin θ)/(cos θ) = y/x. Simplifying this expression, we get tan θ = y/x.

Therefore, the answer is option C) y/x.

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Answer:

Jack is 24

Step-by-step explanation:

Luke : jack

3            2

We know like is 36

3*12 = 36, so we need to multiply by 12

Luke : jack

3*12     2*12

36          24

Answer:

24

Step-by-step explanation

Notice that Luke's real age is 12 times the number in the ratio, which is a simplified version of the original ratio, where they used division by 12 on both sides to get 3:2. Just do the opposite of division, which is multiplication, and multiply both sides of the ratio to get 36:24, which means that Jack is 24 years old!

Hope this helped you!

Answer:

Graph the -x+2y=-8  as  y=1/2x-4

and 2x+4=6  as  y=-2x+6

Step-by-step explanation:

hope you understand how to graph y=mx+b equations.

The fraction of the whole pan of cornbread each child will get is 1/12.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, 1/3 of a pan of cornbread shared among 4 children.

Here, cornbread share of each child = Total quantity of bread/Number of children

= 1/3 ÷ 4

= 1/3 × 1/4

= 1/12

Therefore, the fraction of the whole pan of cornbread each child will get is 1/12.

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Answer:

4 apples

Step-by-step explanation:

2 + 2 = 4

Hope this helps!

Good Luck!

:)

If you can, please mark me bralinest

2 + 2 = 4

Answer = 4 apples

hope this helped :)

Answer:

Step-by-step explanation:

When moving -18 to the other side, he didn’t do 20 + 18. (Mistake 1)

When dividing 2/-4 he didn’t flip the inequality from > to <. (Mistake 2)

Correct:

[tex]-18-4y<20\\-4y<38\\y > -9.5 (or -4\frac{1}{2}[/tex]

Answer:

.50

Step-by-step explanation:

50% is .50. The price of the item is .50 (100%-50% discount).

Answer:

x=5, x=-17/5

Step-by-step explanation:

x=integer

5x-8=  ...is eight less than five times another product

=85

So our equation is x·(5x-8)=85

Steps:

distribute x

5x^2-8x=85

Subtract 85 to create a quadratic equation

5x^2-8x-85=0

Now I"ll upload the work that's shown in Symbolab because it's neater than my own work-

Hope I helped, have a nice day :)

[tex] \red{answer}[/tex]

$-150

Answer:

Step-by-step explanation:

take 66 degree as reference angle

using sin rule

sin 66=opposite/hypotenuse

0.91=x/16

0.91*16=x

14.56=x

14.6=x (after converting it to nearst tenth)

Answer:

8.58

Step-by-step explanation:

the length of minor arc XZ

= 82/360 × 2 × 3.14 × 6

= 8.58 in

Answer:

552

Step-by-step explanation:

Area of a Triangle→S.A.S.

Area=1/2 ab sin C

area = 1/2 (64)(83) sin 168

area=552.213=552

If ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°.Then area of ΔNOP is 552 square inch.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given,

ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°.

The length of two sides and an angle is given.

So we can use SAS postulate

The SAS postulate says that if two sides of one triangle and the angle included between them are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.

Area of a Triangle

Area=1/2 absin C

area = 1/2 (64)(83) sin 168

area =2656 sin 168

area=552.213=552

Hence area of ΔNOP, to the nearest square inch is 552 square inch

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Answer:

30% discount

that's a big discount!

Answer:

30%

Step-by-step explanation:

Answer: 1

−

1

(

s

e

c

2

−

1

t

a

n

2

)

Step-by-step explanation:

Answer:

x=45

Step-by-step explanation:

this should be right

Answer:

21

Step-by-step explanation:

Answer:

2 : 1

Step-by-step explanation:

54:27

Divide each side by 27

54/27:27/27

2 : 1

Answer:

reagain and none that I know about the other day and none that I know that you are

Answer:

(5a²b^4)³

Step-by-step explanation:

Volume=length*breadth*height

∴Volume=5a²b^4*5a²b^4*5a²b^4

∴Volume of the cube=(5a²b^4)³

Hope it helps you!

Pls mark as Brainliest

Answer:

D

Step-by-step explanation:

Answer:

lb of apples for $1.98

Pythagorean theorem. A^2+B^2=C^2.

So 12^2+16^2=c^2

144+256=c^2

400=c^2

square root of 400=c

So C=20

Hit the heart if it was helpful :D

Step-by-step explanation:

Write what you know

Pythagorean theorum

a^2 + b^2 = c^2

rearrange and solve for c

sqrt(a^2 + b^2) = c

plug and chug

Answer:

250

Step-by-step explanation:

Basic wage is 40 * 6.25

Answer:

40x6.25=250

Step-by-step explanation:

She makes 6.25 per hour

she works 40 hours

Multiply the two to find how much she made in a week, not a day

Answer:

2^n will be your explicit formula for this sequence.

Step-by-step explanation:

By analyzing the sequence;

2=2^1

4=2^2

8=2^3

and so on

We find that the numbers of this sequence progresses with 2 to the power of the nth term such as for 3rd term we have 2^3 which is 8.

Answer:

The probability would be 3/25

Answer:;4.4

Step-by-step explanation: Since it varies inversely we know G times H squared is equal to some constant, k. So we have G*H*H=k. We are told that when H=4, G=.25. Plugging this in, we have .25*4*4=k. This simplifies to 4=k. Our new equation is G*H*H=4. Now, we want to solve for G when H=.3. We plug it in. G*.3*.3=4 => G*.09=4. G=4/.09. This means G is approximately 44.4.

Answer:

G = 44.44

Step-by-step explanation:

Given the mathematical expression and data;

[tex] G = \frac {1}{H^{2}} [/tex]

H = 4 and G = 0.25

First of all, we would determine the constant of proportionality, k.

[tex] G = \frac {k}{H^{2}} [/tex]

Making k the subject of formula, we have;

k = GH²

Substituting the values, we have;

k = 0.25 * 4²

k = 0.25 * 16

k = 4

Next, we find the value of G when H = 0.3;

[tex] G = \frac {k}{H^{2}} [/tex]

[tex] G = \frac {4}{0.3^{2}} [/tex]

[tex] G = \frac {4}{0.09} [/tex]

G = 44.44

Step-by-step explanation:

Hey there!

The equation of a line which passes through the point (1,1) is (y-1) = m1 (x-1)...............(i) {using one point formula}

Also, another equation which is perpendicular to the line is y = 1/5 x + 4/5..........(ii)

Comparing equation (ii) with y= mx+c, we get;

Slope (m2) = 1/5.

Now, As per the condition of perpendicular lines,

m1*m2 = -1

or, m1 * 1/2 = -1

or, m1= -2

Therefore, m1 = -2.

Keeping the value of m1 in equation (i) we get;

y-1 = -2(x-1)

y-1 = -2x+1

or, y+2x-2= 0

Therefore, the required equation is 2x+y-2= 0.

Hope it helps!

Answer:

Their intersection point is the only point where the same input into both functions yields the same output.

Step-by-step explanation:

In this case, x = 0 and y = 5.

Answer:

r =29.82

Step-by-step explanation:

r/7.1 = 4.2

Multiply each side by 7.1

r/7.1 *7.1 = 4.2*7.1

r =29.82

The correct answer is vertex of the graph D. (0, 2).

To find the vertex of the graph of the function y = |x| + 2, we need to determine the point where the function reaches its minimum or maximum value.The graph of y = |x| is a V-shaped graph with the vertex at the origin (0, 0). When we add 2 to this function, the graph is shifted upward by 2 units.So, the vertex of the graph of y = |x| + 2 is at (0, 2).

Therefore, the correct answer is D. (0, 2).The function y = |x| + 2 represents a V-shaped graph, and the vertex of this graph occurs at the origin (0, 0). By adding 2 to the function, the graph is shifted upward by 2 units. Therefore, the vertex of the modified function y = |x| + 2 is found by shifting the original vertex (0, 0) vertically by 2 units. This means the new vertex is located at (0, 2). This point represents the minimum value of the function, as it is the lowest point on the graph.

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