Write the slope intercept form form of the perpendicular bisected of the segment between(5,8) and(-3,12)

Answer:

B. The variable is qualitative because color describes an attribute or characteristic.

Step-by-step explanation:

Color is a qualitative variable, used to describe an object. Color cannot be measure or counted, but can be used as a descriptive property of an object. Other examples of qualitative variables include beauty, happiness etc

Quantitative variables are those that can be counted or measure. examples of quantitative variables are height. age, weight, loudness, etc

The water pressure on a submerged object is given by P = 64d, then the

a. The answer to the subject of the formula, "d," is d = P/64.

b. A submerged object will be 10. 5 feet deep at a pressure of 672 pounds per square foot.

A function can be defined as an expression, law or rule that shows the relationship between two variables.

These variables are namely;

given the role as;

P = 64d

Where;

P stands for pounds per square foot of pressure.

d represents the object's depth in feet.

Let's now make the variable "d" the focus of the formula.

The coefficient of the variable "d," which is 64, is used to divide both sides of the equation. So that the variable can stand on its own, this is done.

We get,

P/64 = 64d/64

d = P/ 64

P equals 672 pounds per square foot if there is pressure.

When the variable's value is substituted into the formula, we get;

d = P/64

Then,

d = 672/64

Discover the quotient.

d = 10. 5 ft.

The value is 10.5 feet.

Therefore,

a. The answer to the subject of the formula, "d," is d = P/64.

b. A submerged object will be 10. 5 feet deep at a pressure of 672 pounds per square foot.

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The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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Answer:

m = \(\frac{-3}{4}\)

Step-by-step explanation:

We are given two points ( -3, 1 ) and ( 1, -2).

The slope formula is m = \(\frac{rise}{run}\) = \(\frac{y2 - y1}{x2 - x1}\)

So, we have \(\frac{(-2)-(1)}{(1)-(-3)}\) = \(\frac{-3}{1+3}\) = \(\frac{-3}{4}\)

Answer:

73°

Step-by-step explanation:

This equation uses two supplementary angles. Supplementary angles are two angles that add up to 180 degrees.

The triangle has two angles implied, 30 degrees and (180-137) degrees.

(180 - 137) = 43 degrees

Now that we have two angles inside the triangle, we subtract them from 180 to find the last angle.

180 - 43 - 30 = 107

The angle with a measure of 107 degrees and angle 3 are supplementary

180 - 107 = 73 degrees

Answer:73.4° Fahrenheit.

Step-by-step explanation:

Answer:

The coefficient of y is 0

Step-by-step explanation:

A coefficient is a number attached to a variable. Y has no number attached. The coefficient of y is 0.

Based on the given histogram, the data is skewed with a maximum range of 49.

This is because the frequency bars are not evenly distributed across the x-axis intervals, indicating that the data is not symmetric. The lack of a shaded bar for the 40 to 49 interval also suggests that there were fewer donations in that range compared to the other intervals.

One possible explanation for this skewness could be that the charity had suggested donation levels, with a minimum of $10, resulting in a large number of donations in the 10 to 19 interval. Additionally, the shaded bar stopping at 1 for the 30 to 39 and 50 to 59 intervals suggests that there were fewer donations in those ranges. This could be due to a variety of reasons, such as donors being more likely to give in the suggested $10 increments, or the charity's fundraising efforts being more effective at attracting donors in certain age or income brackets.

Overall, the histogram does not suggest a bimodal distribution, as there is not a clear separation between two distinct modes. The maximum range of 49 also indicates that there were no extreme outliers or large donations that would skew the data towards a higher range. Therefore, it is likely that the data represents a typical distribution of donations to a charity, with most donors giving smaller amounts and fewer donors giving larger amounts.

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Answer:

a=3

Step-by-step explanation:

opening the bracket, we have

4x-2x-2a=8

2x-2a=8

x=7

2(7)-2a=8

14-2a=8

collect like terms

-2a=8-14

-2a=-6

divide both sides by -2

a=3

The greatest common factor, GCF, of 8y, -12x, and 4xy is 4

From the question, we are to determine the greatest common factor of the given expressions.

The given expressions are 8y, -12x, and 4xy

To determine the greatest common factor, we will express each of the expressions as a product of their factors.

8y = 2 × 2 × 2 × y

-12x = 2 × 2 × 3 × -x

4xy = 2 × 2 × x × y

From above, we can observe that the greatest common factor is

2 × 2

= 4

Hence, the greatest common factor is 4

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Answer:

1

Step-by-step explanation:

Answer:

  $28

Step-by-step explanation:

Each round trip will be double the price of a one-way trip, so will be ...

  2 × $3.50 = $7.00

Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...

  4 × $7.00 = $28.00

Step-by-step explanation:

Using the various theorems relating inscribed and external angles to intercepted arcs, we can write the following relations:

  angle A = 1/2(arc BP) . . . . . . . . . . . inscribed angle

  angle A = 1/2(arc CD -arc CP) . . . external angle at tangent/secant

  angle CPD = 1/2(arc CD) . . . . . . . inscribed angle

  angle CPB = 1/2(arc CP) + 1/2(arc BP) . . . . . sum of angles at the mutual tangent

Equating the expressions for angle A, we have ...

  1/2(arc BP) = 1/2(arc CD -arc CP)

Adding arc CP gives ...

  1/2(arc BP +arc CP) = 1/2(arc CD)

Substituting the last two equations for angles from above, this gives ...

  angle CPB = angle CPD

Hence PC bisects angle BPD.

Answer:

Step-by-step explanation:

We know the the total of angles for a triangle is 180 degrees.

So in this case we'd want to set up adding all of our angles and setting them equal to 180

17 + 126 + b = 180

then solve for b

143 + b = 180

b = 37 degrees

So the answer would be 37 degrees for angle b

Answer: P=250n-2750

Step-by-step explanation:

The profit function of the boathouse is given as follows p = 250n- 2750.

The profit function is a mathematical function that reflects a company's or business's profit as a function of the number of products or services produced and sold.

The revenue generated by the boathouse with n boats is given by the monthly fee per boat multiplied by the number of boats, which is $900n.

The total cost to operate the boathouse with n boats is the fixed cost of $2750 plus the variable cost of $650 per boat, which is $2750 + $650n.

Therefore, the profit function of the boathouse is given by the revenue minus the cost:

p = 900n - (2750 + 650n)

Simplifying this expression, we get:

p = 250n - 2750

Thus, the answer is (c) p = 250n - 2750.

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Answer:

The answer is c)

Step-by-step explanation:

g(x)=x^2-4

Answer:

sorry wish i knew the answer

Step-by-step explanation:

Answer:

9x - 2x + 62 = 9x + 24

Number of correct answer each obtained = 19

Step-by-step explanation:

Given that:

Number of correct answers = x

POINTS for correct answers = 9

POINTS for incorrect answers = - 2

SCHOOL A:

Number of correct answers = x

Number of incorrect answers = x

Initial point = 62

Initial point + 9(number of correct answers) + - 2(number of incorrect answers)

62 + 9x - 2x

SCHOOL B :

Number of correct answers = x

Number of incorrect answers = 0

Initial point = 24

Initial point + 9(number of correct answers) + - 2(number of incorrect answers

24 + 9x

Since they end up tied :

School A = School B

62 + 9x - 2x = 24 + 9x

9x - 2x + 62 = 9x + 24

Number of correct answers gotten :

9x - 2x + 62 = 9x + 24

7x + 62 = 9x + 24

7x - 9x = 24 - 62

-2x = - 38

x = 19

Hence, Number of correct answers each obtained = 19

The frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.

It is given that:

24 children were asked which is their favourite colour from a choice of red, blue

green or yellow

From the data given in the question.

Red : 6

Blue: 4

Green: 8

Yellow : 1 (half of 2)

Pink: 1 (half of 2)

Thus, the frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

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Answer:

Domain: x>-3 Range: y \(\geq\)-5

Step-by-step explanation:

The domain at the left has an open circle, meaning it is not uncluded in the domain. The domain would start from there, not including -3, and go on towards positive infinity. The range, at its lowest starts at -5, including negatove 5, since it is a closed circle, and goes up from there.

Answer:

47 squares

Step-by-step explanation:

Looking at your question was quite confusing.

So, I'll assume that you're looking for the amount of squares that can fit within the specified area.

To find area: we would do A = L x W

So, our values are 21W and 9L.

Plug it in.

A = 21 x 9

A = 189 square meters

Then, we would find the number of squares that could fit in the area.

A square meter is a square with a side length of 1 meter on each side.

So, 1 x 4 = 4

Divide 189 by 4.

189/4 = 47.25

1/4 is the remainder.

So, our total is 47 squares.

Do please, tell me if I did it incorrectly, since the context is quite vague.

Answer: Down Below

Step-by-step explanation: y=ab^x

20=ab^0=a

so y=20ab^x

5120=20b^x

 256=b^x

can recognize that 256 is 2^8

so the equation is y=20*2^x

Answer:

7(9) ^x

xStep-by-step explanation:

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

\(\cfrac{a}{18}=\cfrac{32}{a}\implies a^2=(32)(18)\implies a=\sqrt{(32)(18)}\implies a=24 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{b}{50}=\cfrac{32}{b}\implies b^2=(32)(50)\implies b=\sqrt{(32)(50)}\implies b=40\)

Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

The correct step to prove that \(BC^2 = AB^2 + AC^2\) is:

By the cross product property, \(AC^2 = BC \cdot AD\).

To prove that \(BC^2 = AB^2 + AC^2\), we can use the triangle similarity and the Pythagorean theorem. Here's a step-by-step explanation:

Given triangle ABC with right angle at A and segment AD perpendicular to segment BC.

By triangle similarity, triangle ABD is similar to triangle ABC. This is because angle A is common, and angle BDA is a right angle (as AD is perpendicular to BC).

Using the proportionality of similar triangles, we can write the following ratio:

\($\frac{AB}{BC} = \frac{AD}{AB}$\)

Cross-multiplying, we get:

\($AB^2 = BC \cdot AD$\)

Similarly, using triangle similarity, triangle ACD is also similar to triangle ABC. This gives us:

\($\frac{AC}{BC} = \frac{AD}{AC}$\)

Cross-multiplying, we have:

\($AC^2 = BC \cdot AD$\)

Now, we can substitute the derived expressions into the original equation:

\($BC^2 = AB^2 + AC^2$\\$BC^2 = (BC \cdot AD) + (BC \cdot AD)$\\$BC^2 = 2 \cdot BC \cdot AD$\)

It was made possible by cross-product property.

Therefore, the correct step to prove that \(BC^2 = AB^2 + AC^2\) is:

By the cross product property, \(AC^2 = BC \cdot AD\).

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Answer:

---------------------------------

Real distance is 4.4 miles and on the map it is 8 inches.

The scale is:

or

Size of final payment is $6392.43

Given that formula for compound interest is P(1+r/n\()^{nt}\)

where P is initial principal

r is interest rate

n is compound times per period

t is time in years

We find all the variables in the formula in order to get our answer.

Initial principal = 96000 less 25%= 72000

interest rate = 9%

number of compound times= 12

time in years =4.25 years (whole period is 4.5 years since number of payments to complete balance will take 54 months)

Hence principal and CI after 4 years and 3 months(the second to last payment)

72000(1+0.09/12)^12x4.25=$105,393.6

We use $105,393.6 as our principal to calculate the whole interest and principal for the period in order to find last payment

105393.6(1+0.09/12)^12x0.25=$107,786.03

interest for the final month = $107786.03-$105,393.6=$2392.43

To get our final payment, we add the principal payment of $4000 to final compounded interest =$6392.43

Answer:

C

Step-by-step explanation:

Let us first write an equation. Using the SOHCAHTOA rule, we should know that the tangent of an angle equals it's \(\frac{opposite}{adjacent}\). The opposite of our given 20° angle is 9, and the adjacent side is x.

\(tan(20\)°\()=\frac{9}{x}\)

\(0.364=\frac{9}{x} \\x=\frac{9}{0.364}\\x=24.7\)

C

I hope this helps! Let me know if you have any questions :)

We will have that the law of sines won't give us any more information under the following situation:

*Two sides and the included angle are given. [Option A]