Does anyone know the answers or how to do this?

Answer:

m = -1/3
b = 0
y = -1/3x

Step-by-step explanation:

The y-intercept is 0, so b is just 0. The slope of the line is 1/3 but it is decreasing not increasing, so it is negative. Then using the slope formula:
y = mx + b

y = -1/3x

Slope:-

Equation in point slope form

b=0

Perpendicular Line: y = 3x - 10

[tex]\sf {Given:} \ y = -\dfrac{1}{3} x-4[/tex]

Comparing it with slope intercept formula:  [tex]\bf y = mx + b[/tex]

Identify the slope for this particular function:

[tex]\star \ \ \sf slope = -\dfrac{1}{3}[/tex]

Now given that the line passes perpendicularly, then the slope shall be negatively inverse of the parallel slope.

[tex]\implies \sf \ perpendicular \ slope : \ -(\dfrac{1}{m} ) \ = \ -(\dfrac{1}{-1/3} ) \ = \ 3[/tex]

Now, find the equation:

[tex]y -y_1 = m(x - x_1) \ \ \ \ \textsc where \ (x_1, y_1 ) \ are \ points[/tex]     given points : (6, 8)

equation:

[tex]\rightarrow \sf y - 8 = 3(x-6)[/tex]

[tex]\rightarrow \sf y = 3x-18+8[/tex]

[tex]\rightarrow \sf y = 3x-10[/tex]

On comparing to y=mX+b

Perpendicular lines have slopes negative reciprocal to each other

Slope of perpendicular line

Equation in point slope form

Answer:

3/8

Step-by-step explanation:

1/8 + 1/4 = 1/8 + 2/8 = 3/8

Note that 1/4 = 1/4 * 2/2 = 1*2 / 4*2 = 2/8

Answer:

d 15.

Step-by-step explanation:

Slope = (difference in y values)/ (corresponding difference in x values)

So we have:

Slope = (120-117)  / (6.6-6.4)

          =  3 / 0.2

           = 30/2 = 15.

Answer:

$200

Step-by-step explanation: You take $9.00 and multiply it by 30 and then you take whatever that answer is and subtract 70 from it to get the net income

Answer:

Step-by-step explanation:

Givens

Maurice

55 miles an hour

15 miles ahead of Rhonda

d1

Rhonda

65 miles per hour

d2

The distance has to be the same for both in order to meet.

Formula

d1 = d2

d = r * t                                   where r is the speed.

65*t = 55t + 15                       Subtract 55t from both sides

Solution

65t - 55t = 55t - 55t + 15       Combine

10t = 15                                    Divide both sides by 10

10t/10 = 15t/10            

t = 1.5 hours

Answer

They will meet in 1.5 hours.

Answer:

£350

Step-by-step explanation:

287/0.82

Answer:

Step-by-step explanation:

1,)

3x+y=4 <-Equation 1

2x-y=6 <-Equation 2

Step 1 Eliminating Y Multiply negative both side

-[3x +y = 4 ] -

-3x-y = -4 <-Equation 3

Equation 2 to Equation 3

2x-y=6

-

-3x-y = -4

= 5x = 10

x =2

Substituting X to Equation 1

3x+y=4

3(2) + y =4

6 + y = 4

y = -2

Therefore x =2 and y = -2

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

  A birthday cake is divided equally between 9 people.

What fraction of the cake does each person have?

[tex]\dashrightarrow\large\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}[/tex]

[tex]\ast[/tex] Remember, a fraction looks like:-

[tex]\boxed{\frac{\xrightarrow{numerator}x}{\xrightarrow{denominator}{y}}}[/tex]

Where:-

In this case we divide a cake equally between 9 people, so we divide the cake into 9 parts, and each person gets a part of the cake.

So we have a fraction as follows:-

[tex]\dfrac{?}{9}[/tex]

Now, each person gets 1 part. 1 becomes our numerator:-

[tex]\dfrac{1}{9}[/tex]

[tex]\uparrow\sf{Our\:Answer}[/tex]

[tex]\rule{300}{1}[/tex]

The graph of the system of inequalities can be seen at the end of the answer.

Here we have two inequalities:

x < 2

y ≥ - 3

To graph the first one, we need to shade all the region at the left of the line x = 2, such that the line must be dashed, because the points on the line are not solutions.

For the second inequality, we need to shade all the regions above the line y = -3, this time the line must be solid, because the points on the line are solutions.

Then the graph of the inequalities is the one you can see below. The intersection of the shaded regions is the solution of the system of inequalities.

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Let's see

Let y=f(x)

Intechange x and y

Find y

The inverse is y=x/4

Graphs attached

Answer:

[tex]\sf f^{-1}(x)=\dfrac{x}{4}[/tex]

Step-by-step explanation:

The inverse of a function is the reflection of the function in the line y = x

To find the inverse of a function:

Set the function to y:

⇒ y = 4x

Make x the subject:

[tex]\sf \implies x=\dfrac{y}{4}[/tex]

Change x to [tex]\sf f^{-1}(x)[/tex] and y to x:

[tex]\sf \implies f^{-1}(x)=\dfrac{x}{4}[/tex]

Answer:

2.5 > 2 2/5

Step-by-step explanation:

2 2/5 = 2.4

2.4 is less than 2.5

The equation [tex]\frac{5-3-2}{1+4+6+7+8+9}[/tex]  = 0 is true

In arithmetic, a number expressed as a quotient, in which a numerator is divided by a denominator.

Using digits 0 to 9, no more than once each.

we want to place them in such a way that the division will be zero.

As we know that a quotient is equal to zero iff the numerator is equal to zero and the denominator other than zero.

So if we put some numbers on the numerator in such a way by adding them gives 0.

So, 5 - 3 - 2 = 0

Use all the other numbers in the denominator.

[tex]\frac{5-3-2}{1+4+6+7+8+9}[/tex]  = 0

which is true.

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15

The segment addition postulate states that if AC is a line with point B, then AB + CD must equal AC.

Setting Up the Equation

Using the postulate above we can set up an equation that is set equal to BD.

Now, rewrite this using the information we are given in the question.

Solving For BC

Now, we can solve this equation using the properties of equality.

To solve you need to isolate BC. Do this by subtracting 2 from both sides.

This gives us the answer, 15.

Answer:

15 dollars and they got 2 more pairs than the cotters. hope this helps.

Using it's concept, it is found that the average rate of change of the function from x = -1 to x = 5 is of -1.

It is given by the change in the output divided by the change in the input.

In this problem, the output changes by -6(from 7 to 1) when the input changes by 6(from -1 to 5), hence the average rate is given by:

r = -6/6 = -1.

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The person's body temperature will approach 98.6ºF as time lapses,  The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses.

A horizontal asymptote is  known to be that line that is  horizontal in nature and it is one that is not an aspect of a graph that has a function but t act as a guides for its x-values.

Note that Horizontal asymptote occurs to T(f) only when t is said to be very large (as it approaches infinity) and thus, it connote that the person's body temperature will be going towards 0ºF above 98.6ºF as t moves to infinity.

See full question below

The increase in a person’s body temperature T(t), above 98.6ºF, can be modeled by the function T(t)=(4t)/(t^2 +1), where t represents time elapsed. What is the meaning of the horizontal asymptote for this function?

The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses. The horizontal asymptote of y = 0 means that the person’s temperature will approach 0ºF as time elapses. The horizontal asymptote of y = 4 means that the person’s temperature will approach 102.6ºF as time elapses. The horizontal asymptote of y = 4 means that the person’s temperature will approach 4ºF as time elapses.

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Based on the calculations, the length of LM is equal to 1.10 units.

Given the following data:

Scale factor = 0.5.

Length of AB = 2.20 units.

In Mathematics, there are different types of transformation and these include the following:

Since polygon A'B'C'D'E' is dilated by using a scale factor of 0.5 about D', so as to form polygon LMNOP. Thus, the length of LM is given by:

LM = A'B' × scale factor

LM = 2.20 × 0.5

LM = 1.10 units.

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The width of the rectangular box with  volume of 150 cubic inches is: 5 inches.

Volume of a box = (length)(width)(height).

Given the following:

150 = (w + 10)(w)(2)

2w² + 20w - 150 = 0

Factorize

(w - 5)(w + 15) = 0

w = 5, w = -15

The width cannot be negative, therefore, the width of the box is: 5 inches.

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Answer:

95.03

Step-by-step explanation:

The probability of selecting a multiple of 2 or a multiple of 7 is 11/20 or 0.55 or √0.3025.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of outcome = 20

Total number of favourable outcome (multiple of 2 or a multiple of 7):

E = {2, 4, 6, 7, 8, 10, 12, 14, 16, 18, 20}

n(E) = 11

The probability = 11/20 = 0.55 or

= √0.3025

Thus, the probability of selecting a multiple of 2 or a multiple of 7 is 11/20 or 0.55 or √0.3025.

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Answer:

I believe its C , i took this class

Step-by-step explanation:

Answer:

4.8 in

Step-by-step explanation:

feet to inch conversion is *12

2 * 12 = 24

then divide the scale (for every 1 in on the model there is 5 in on the actual, so divide the actual value by 5)

24/5 = 4.8

your answer is 4.8 in

hope this helps:)

Answer:

108

Step-by-step explanation:

Volume of a Square Pyramid :

Solving :

Answer: Volume = 108 cm ³

Explanation:

For a square pyramid, the volume can be calculated as follows:

Volume =  * area of base * height

Volume =  * side² * height

We have:

side length = 6 cm

height = 9 cm

Therefore:

Volume =  * 36 * 9 = 108 cm ³

Hope this helps :)

Answer:

[tex](x - 3) \: (x - 8)[/tex]

Step-by-step explanation:

We were given the equation:

[tex] {x}^{2} - 11x + 24 = 0[/tex]

Therefore in order to factorize we first need to find the numbers that add to be equal to -11 and multiply to be equal to 24. The two numbers are:

[tex] - 8 \: and \: - 3 \\ \\ - 8 + ( - 3) = - 11 \\ - 8 \times - 3 = 24[/tex]

So the new equation is

[tex]{x}^{2} - 8x - 3x + 24 = 0 \\ \\ factorize: ( {x}^{2} - 8x) \: ( - 3x + 24) = 0 \\ \\ x(x - 8) \: - 3(x - 8) \\ \\ therefore : (x - 3) \: ( x - 8) = 0[/tex]

Answer:

Step-by-step explanation:

Comment

There are a lot of choices. Luckily the middle term is minus and the third term is plus, so you don't have to juggle minus signs around. Both factors are minus when put together with x.

-3 - 8

-4 - 6

-2 -12

-1 - 14

I think these are all the possible factors.

-4 + - 6 = - 10  Not the answer. It needs to be - 11

-2 + -12 = -14  Not the answer. It needs to be - 11

-1 + - 24 = -25 Just about as far away as you can get. Not the answer

So A must be right

-3 + -8 = - 11

That's what it should be. So the factors are

Answer:

(x -3)(x - 8)= x^2 - 11x + 24

Answer:

$875

Step-by-step explanation:

Jill was given $175 and her mother was given 5 times the amount.

Multiply 175 and 5.

A cylinder is a three-dimensional structure formed by two parallel circular bases connected. The height of the can that has a volume of 1250 cm³ if the radius is 8 cm is 6.217 cm.

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.

Given the volume of the cylinder is 1250 cm³, and the radius of the cylinder is 8 cm. Therefore, the volume of the cylinder can be written as,

[tex]\text{Volume of the cylinder} = \pi r^2h[/tex]

[tex]1250 = \pi \times (8)^2 \times h\\\\h = 6.217\rm\ cm[/tex]

Hence, the height of the can that has a volume of 1250 cm³ if the radius is 8 cm is 6.217 cm.

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Answer:  [tex]\angle BAD[/tex]

Reason:

The arc goes from ray AB to ray AD. The two rays join at angle A which is the vertex point. When naming an angle, always use the vertex point in the middle. The order of the other two letters does not matter.

We could name this angle as [tex]\angle BAD[/tex] or [tex]\angle DAB[/tex] to mean the same exact thing. All that matters is that "A" is in the middle.

Ignore point C, and ignore ray AC entirely.

Answer:

  (b)  ∠BAD

Step-by-step explanation:

An angle can be named by the names of three points. The first point is on one of the rays that form the angle; the second point is the vertex; the third point is on the other ray.

Apparently the "marked" angle is identified by the arc extending from ray AB to ray AD. Point A is the vertex of the angle, so one possible name for it is ...

  ∠BAD

It can also be called

  ∠DAB

Explanation:

Turn the irrational numbers into decimals, so it is easy to understand and point on the number line graph.

Numbers provided:

√13 = 3.605551275 ≈ 3.61

√17 = 4.123105625 ≈ 4.12

Step by Step Solving:

Plot the points (circled area's):