What is an equation in point-slope form of the line that passes through the point (8,5) and has slope -7?
A. y + 5 = 7(X + 8)

B. y + 5 = -7(X + 8)
o C. y-5 = 7(x-8)
o D. -5 = -7(x - 8)

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Explanation:

The circumference of a circle is the distance around the full circle, aka the perimeter.

The formula for the circumference is

C = pi*d

where d is the diameter. The radius given is 6, so the diameter is 2*6 = 12.

The circumference, is therefore:

C = pi*d

C = pi*12

C = 12pi millimeters

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As a slight alternative, you can use this formula

C = 2*pi*r

with r = 6 as the radius

C = 2*pi*r

C = 2*pi*6

C = 2*6*pi

C = 12pi

We get the same answer as before.

Answer:

(1) The angle bisector of ∠TPR is 45⁰

(2) m∠QPR = 90⁰

(3) m∠TPS  = 45⁰

(4)  m∠QPV = 45⁰

Step-by-step explanation:

(1) The angle bisector of ∠TPR is 45⁰

(2) From the given figure, the m∠QPR is a right angle, thus m∠QPR = 90⁰

(3)  m∠TPS is a bisector of the right angle RT,  m∠TPS  = 45⁰

(4) m∠QPV = 180 - (∠SPR + ∠QPR) [sum of angles on a straight line]

    m∠QPV = 180 - (45 + 90)

    m∠QPV = 180 - 135

    m∠QPV = 45⁰

Answer:

The domain is the speed of the airplane.

The range is the distance travelled by the airplane.

Step-by-step explanation:

From Theory of Values, the domain of a function is the set of independent values, whereas the range of a function is set of dependent values, that is, values associated to one distinct element from domain. In this case, the independent variable is speed, whereas the dependent variable is the distance travelled by the airplane, since it is described in terms of speed.

Hence, the answer to this exercise is:

The domain is the speed of the airplane.

The range is the distance travelled by the airplane.

Answer:

one variable data table has only one input cell and many result cells. A two-variable data table has two input cells, but only one result cell. If you look at the bar graphs, histograms, and circle graphs, they all look at one variable at a time and display the number of times or percentage of times an individual point or interval is counted. These are displays for a one variable data set. Two variable data sets give measures of two attributes for each item in a sample. Such as - eye colour & hair colour, grade & gender.

Step-by-step explanation:

Hope it helps <3

Answer:

s = 10

Step-by-step explanation:

Given s is inversely proportional to t , then the equation relating them is

s = [tex]\frac{k}{t}[/tex] ← k is the constant of proportion

To find k use the condition when s = 0.6, t = 5

0.6 = [tex]\frac{k}{5}[/tex] ( multiply both sides by 5 )

3 = k

s = [tex]\frac{3}{t}[/tex] ← equation of proportion

When t = 0.3, then

s = [tex]\frac{3}{0.3}[/tex] = 10

Answer:

418

Step-by-step explanation:

Answer:

B. 15x+7

Step-by-step explanation:

8x + 7

+ =15x +7

7x - 9

Answer:

Number 1 and 4

Step-by-step explanation:

To do this substitute the different values of x and y into the equations and see if they come out true or not.

1. (4, -3)

Put x = 4 and y = -3 into both equations:

2x + y = 5 --> 2(4) - 3 = 5 --> 8 - 3 = 5 --> 5=5 (true)

6x + 3y = 15 --> 6(4) + 3(-3) = 15 --> 24 - 9 = 15 --> 15 = 15 (true

So number 1 works

2. (2, 4)

Put x = 2 and y = 4 into both equations:

2x + y = 5 --> 2(2) + 4 = 5 --> 4 + 4 = 5 --> 8 = 5 (NOT true)

Number 2 does not work

3. (1, 3)

Put x = 1 and y = 3 into both equations:

2x + y = 5 --> 2(1) + 3 = 5 --> 2+ 3 = 5 --> 5 = 5 (true)

6x + 3y = 15 --> 6(1) + 3(9) = 15 --> 6 + 27 = 15 --> 33 = 15 (not true)

Number 3 does not work

4. (0, 5)

Put x = 0 and y = 5 into both equations:

2x + y = 5 --> 2(0) + 5 = 5 --> 5 = 5 (true)

6x + 3y = 15 --> 6(0) + 3(5) = 15 --> 15 = 15 (true)

Number 4 does work

Number 1 and number 4 are the answers.

Answer:

Step-by-step explanation:

Given the formula for the geometric series expressed as;

[tex]\sum \left \{ {3} \atop {1}} \right 1.3(0.8)^{n-1}[/tex]

The nth term of a geometric progression is expressed as;

[tex]T_n = ar^{n-1}\\[/tex]

a is the first term

r is the common ratio

Comparing both equations;

[tex]0.8^{n-1} = r^{n-1}\\Cancel \ the \ powers\\0.8 = r\\r = 0.8\\[/tex]

Hence the value of r of the geometric series is 0.8

Answer:

A

Step-by-step explanation:

Just took test

A one to one function is a function which matches exactly one x value with exactly one y value. The fancy term for this is an injective function.

The one function that matches to the one relationships of the situation where the people have equal identities as their ID numbers. The function relates to the injunctive function.

Learn more about the are matched with with unique identities.

brainly.com/question/24004220

Answer:

Step-by-step explanation:

To calculate simple interest use the following formula

Presentvalue(1+it)

where i=interest

t=time

We can easily plug in our values and solve for the answer

11180(1+0.043*3)

Put this into a calculator and get £12622.22

Answer:

X=7

Step-by-step explanation:

4x+8=7x-13

-4x. -4x

8= 3x -13

+13. +13

21=3x

21÷3=7

x=7

Answer:

The answer is x = 7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

17

Step-by-step explanation:

Answer:

21.1cm

Step-by-step explanation:

From sine rule which can be expressed as

b/ sinB = c/sin C

B = 57°,

b = 26 cm.

FROM THE COMPLETE QUESTION,

C=43°

Then we can substitute this

26/sin(57) = c/sin(43)

If we cross multiply and make "c" subject of the formula

c=[26 × sin(43)]/ sin57

c= 21.1 cm

Answer:

50

Step-by-step explanation:

Correct question

-16/5, 8, -20. What is the next term of the geometric sequence.

The nth term of a geometric sequence is expressed as:

Tn = ar^n-1

From the sequence:

a is the first term = -16/5

n is the number of term = 4(since next term is 4th term

r is the common ratio = (8)÷(-16/5) = 8×-5/16

r = -5/2

Substitute the given values into the formula

T4 = -16/5(-5/2)^4-1

T4 = -16/5(-5/2)³

T4 = -16/5×-125/8

T4 = -16/8×-125/5

T4 = -2×-25

T4 = 50

Hence the next term is 50

Answer:

Step-by-step explanation:

Answer: hopefully, this is right i think its 5.873

Step-by-step explanation:

Answer:

Vertex: (-5,-4) Y-int: (0,21) X-int. = (-7,0), (-3,0)

Step-by-step explanation:

Answer:

(2x - 3) years

Step-by-step explanation:

Fitz is x years old.

Let us represent:

Fiona's age = y years old

If Fiona's is 3years younger than twice Fitz's age.

y = 2 × x - 3

y = 2x - 3

Therefore, the expression that describes Fiona's age in terms of x is

(2x - 3)years

Complete Question

Sophie pays m dollars to rent a car for the weekend. On the drive home, she buys $45 worth of gasoline. Her friend Melody pays for one-half the cost of the car rental only. Write an expression you could use to determine how much Sophie spent.

Answer:

1/2m + 45

Step-by-step explanation:

We are told in the question that:

On the drive home, she buys $45 worth of gasoline.

Her friend Melody pays for one-half the cost of the car rental only.

Sophie pays m dollars to rent a car for the weekend.

The amount sophie pays for car rental = m - 1/2m

= 1/2m

Therefore, the expression used to determine how much sophie spent is written as:

1/2 × $m + $45

1/2m + 45

Answer:

C

Step-by-step explanation:

Equation of Function A is

y=2x+5

Equation of Function B is

y=2x-3

Answer:

is 30 hope I helped!!:D

Step-by-step explanation:

step 1 : cross multiply.

10/3= k/9

(10)*(9)=k*(3)

90=3k

step 2: flip the equation.

3k =90

step 3: Divide both sides by 3.

3k/3=90/3

k=30

Answer:

[tex]40\ \text{inches}[/tex]

Step-by-step explanation:

[tex]\theta[/tex] = Angle = [tex]5.7^{\circ}[/tex]

Let the vertical distance be is [tex]y=4\ \text{inches}[/tex]

horizontal distance be [tex]x[/tex]

So, slope is the tangent of the angle between the vertical and horizontal

[tex]\dfrac{y}{x}=\tan\theta\\\Rightarrow \tan5.7^{\circ}=\dfrac{4}{x}\\\Rightarrow x=\dfrac{4}{\tan5.7^{\circ}}\\\Rightarrow x=40.07\approx 40\ \text{inches}[/tex]

The horizontal distance for flared sides is [tex]40\ \text{inches}[/tex].

The horizontal distance for flared sides with a 4 inch vertical distance is 40.1 inches

Represent the horizontal distance with h, and the vertical distance with v.

The ratio of the vertical to the horizontal distance is given as: 5.7 degrees.

This means that:

[tex]\tan(5.7) = \frac{v}{h}[/tex]

Make h the subject

[tex]h = \frac{v}{\tan(5.7)}[/tex]

The vertical distance is given as 4 inches.

So, we have:

[tex]h = \frac{4}{\tan(5.7)}[/tex]

Evaluate tan(5.7)

[tex]h = \frac{4}{0.0998}[/tex]

Divide

[tex]h = 40.1[/tex]

Hence, the horizontal distance is 40.1 inches

Read more about vertical and horizontal distances at:

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Answer:

[tex]m = 35.65 \\ b = 17.25[/tex]

Step-by-step explanation:

srry if its wrong but I think it's right :)

btw for the first one

p=19.53

Answer:

x=3

Step-by-step explanation:

x+4=7

x=7-4

x=3

since y=4, we can substitute that value into the second equation. now x+y=7 becomes x+4=7. when we subtract three from both sides, we get that x=3. the ordered pair is (3,4)

Answer:

He does not

Step-by-step explanation:

He doesn't experience Doppler effect because with respect to him, the source of sound is stationary.

Answer:

10%

Step-by-step explanation:

Answer:

5x+1+11y

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

[tex]m + b=2[/tex]

Step-by-step explanation:

From the question we are told that

The non separable differential equation [tex]\frac{dy}{dx} = 8x - 2y[/tex]

Generally the chi form of a give equation is mathematically represented as

[tex]\frac{dy}{dx} +P(x)y= q(x)[/tex]

[tex]\frac{dy}{dx} + 2y = 8x[/tex]

[tex]ye^2^x=\int e^2^.8xdxx[/tex]

[tex]ye^2^x=8(\frac{xe^2^x}{2}-\frac{\int e^2^x}{2})[/tex]

[tex]ye^2^x=8(\frac{xe^2^x}{2}-\frac{e^2^x}{1})+c\\[/tex]

[tex]ye^2^x=4x^2^x-2e^2^x+c[/tex]

[tex]y=4x-2+c[/tex]

for c=0

[tex]y=4x-2[/tex]

Therefore

[tex]m=4\\b=-2\\m + b=4-(+2)[/tex]

[tex]m + b=2[/tex]

The linear particular solution of the form [tex]y=mx+b[/tex] where [tex]m+b=4-2=2[/tex]

Nonseparable differential equation:

Differential equations that cannot be written  [tex]\frac{dy}{dx} =f(x)g(y)[/tex] are non-separable differential equations.

In other words, we can say those differential equations which are not separable are called non-separable differential equations.

The given equation is,

[tex]\frac{dy}{dx}=8x-2y[/tex]

This is in the form [tex]\frac{dy}{dx} +p(x)y=\phi(x)[/tex]

Here [tex]P=2, Q=8x[/tex]

So, [tex]e^{\int_{}^{}Pdx}=e^{\int_{}^{}2dx}=e^{2x}[/tex]

Therefore, the general solution is,

[tex]ye^{\int_{}^{}Pdx} =\int_{}^{}Qe^{\int_{}^{}Pdx}dx+c\\ye^{2x}=\int_{}^{}8xe^{2x}dx+c\\y=4x-2+c^{-2x}[/tex]

Learn more about the topic of nonseparable differential equations:

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