given abc with a(-4 -2), b(4,4), and c(18,-8). write the equation of the line that contains the altitude that passes through b in standard form

Answer:

d=7 and q+0=17

Step-by-step explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

d+q=24;0.10d+0.25q=4.95

Step: Solve d+q=24 for d:

d+q+ (−q) =24+(−q) (Add -q to both sides)

d=−q+24

Step: Substitute −q +24 for d in 0.10d+0.25q=4.95:

0.10d+0.25q=4.95

0.10(−q+24)+0.25q=4.95

0.15q+2.4=4.95 (Simplify both sides of the equation)

0.15q+2.4+(−2.4) =4.95+(−2.4) (Add -2.4 to both sides)

0.15q+0=2.55

0.15q+0 /0.15  = 2.55/0.15   (Divide both sides by 0.15)

q+0=17

Step: Substitute 17 for q in d= −q+24:

d= −q+24  

d= −17+24

d=7  (Simplify both sides of the equation)

Answer:

4.5 seconds.

Step-by-step explanation:

0.75 of a picture will be taken within a second. 6 times 0.75 is 4.5 seconds.

Hope this helps!

Answer:

4.5 secs

Step-by-step explanation:

Final answer:

The school can donate $816 to charity from the adult ticket sales of their comedy show, based on the 204 adult tickets sold at $4.00 per ticket.

Explanation:

To find out how much the school can donate, first, determine the number of adult tickets sold. Since half of the 408 tickets are adult tickets, there are 204 adult tickets sold (408 tickets × 1/2 = 204 adult tickets). Next, calculate the total donation from these adult tickets by multiplying the number of adult tickets by the donation per ticket, which is $4.00.

Total Donation = Number of Adult Tickets × Donation per Adult Ticket = 204 × $4.00 = $816.

Therefore, the school can donate $816 to charity from the comedy show ticket sales.

Answer:

$ 816 is donated to charity.

Step-by-step explanation:

408 tickets were sold. 1/2 were adult tickets so

408 * 1/2 = 204 adult tickets were sold.

4 dollars from each adult ticket is donated to charity

204 * 4 =816

$ 816 is donated to charity.

The graph is missing. So is the set of data point values. However, I can assume that as the temperature goes up, then so does the sale of ice cream. It's not a perfect relationship, but there is a strong positive correlation between the two variables.

A positive correlation means that as one variable increases, so does the other. Also, it means that if one variable decreases, then the other variable decreases as well. The two variables move in the same direction together.

Answer:

5c + 30

Step-by-step explanation:

An easy way to create an equivalent expression is to simplify the equation given to you. In this case, distribute 5 to all terms within the parenthesis:

5(c) = 5c

5(6) = 30

5c + 30 is an answer choice.

~

Distribute the 5 inside the parenthesis to create an equivalent expression.

Answer:

5c + 30

Answer:

Well Where are the graphs

Step-by-step explanation:

Answer:

It’s just A

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Answer:

Switch around "five decreased by twice a number" and the one below it, then I'm pretty sure you're done. (;

Answer: In a right triangle, the sum of the squares of the two legs equals the square of the hypotenuse. Legs (a and b): the sides of the triangle adjacent to the right angle. They don't need to be the same length in order for this theorem to work.

If the sum of the squares of the legs of a triangle doesn’t equal the square of the hypotenuse, the triangle is not a RIGHT triangle.

We know that in a right angled triangle the Pythagorean Theorem hold true.

According to Pythagorean Theorem:

If the three sides lengths of a triangle are a,b and c respectively such that:

          [tex]c^2=a^2+b^2[/tex]

Then such a triangle is a right triangle with hypotenuse c and other two legs of triangle as a and b.

                            Hence, the answer is:

                       The triangle is not a right triangle.

Answer:

It will cost Irene $31.45 to fill the tank

Step-by-step explanation:

Irene's tank holds 14 gallons.  It has 5.5 gallons in it.  

14- 5.5  = 8.5

Irene can put in 8.5 gallons to fill it.

8.5 gallons and $3.70

8.5 * 3.7 = $31.45

It will cost Irene $31.45 to fill the tank

Answer:

The formula for the volume of a sphere is:

Sphere Volume   =   4/3 • π • r^3

Sphere Volume   =   4/3 • π • 7^3

Sphere Volume   =   4/3 • π • 343

Sphere Volume   =   1,436.7550402417 cubic inches

Step-by-step explanation:

Final answer:

The volume of a hemisphere with a radius of 7 inches is calculated using the formula V = ½ (⅓πr³), resulting in a value of 571.1015 cubic inches, which rounds to 571.1 cubic inches.

Explanation:

To find the volume of a hemisphere with a radius of 7 inches, we use the formula for the volume of a sphere and then take half of that, since a hemisphere is just half of a sphere. The formula for the volume of a sphere is V = ⅓πr³. Since we need the volume of a hemisphere, our formula becomes V = ½ (⅓πr³). By substituting the given radius into the formula, we have:

V = ½ (⅓π(7 inches)³)

= ½ (⅓π(343 cubic inches))

= ½ (1142.203 cubic inches)

= 571.1015 cubic inches.

When we round this result to the nearest tenth, we get 571.1 cubic inches. Hence, the volume of the hemisphere is approximately 571.1 cubic inches.

Answer:

Step-by-step explanation:

Final answer:

To cover the entire cost of the trip, each student must sell at least 80 sweatshirts.

Explanation:

To find out how many sweatshirts each student must sell, we need to calculate the total cost of the trip and then divide it by the profit per sweatshirt. The total cost of the trip is the sum of the ticket price for each student and the cost of transportation and meals for everyone:

Total Cost = (Ticket Price * Number of Students) + Transportation and Meals Cost

Substituting the given values, we have:

Total Cost = ($35 * 16) + $960

Total Cost = $560 + $960

Total Cost = $1520

Now, we can calculate the number of sweatshirts each student must sell to cover the total cost of the trip:

Number of Sweatshirts = Total Cost / Profit per Sweatshirt

Substituting the given profit per sweatshirt value, we get:

Number of Sweatshirts = $1520 / $19

Number of Sweatshirts = 80

Therefore, each student must sell at least 80 sweatshirts to cover the entire cost of the trip.

Answer:

3. The mean will increase more than median, but both will increase.

Step-by-step explanation:

We have been given a dot plot. We are asked to find the true statement, if a new data point at 12 is added to our given dot plot.

Since we know that an large valued outlier affects mean more than median, so mean will increase more than median.

Let us check this using our given information. Our data set before adding 12 is:

1, 2, 2, 2, 3, 4, 4, 4, 5.

We can see that our data set has odd number (9) of data points, so median will be the value of 5th term, that is 3.

[tex]\text{Mean}=\frac{1+2+2+2+3+4+4+4+5}{9}[/tex]

[tex]\text{Mean}=\frac{27}{9}=3[/tex]

Therefore, mean of our data set is 3.

Upon adding a data point at 12, our new data set will be:

1, 2, 2, 2, 3, 4, 4, 4, 5, 12.

Now our data set has 10 terms, so median will be the average of 5th and 6th term.

[tex]\text{Median}=\frac{3+4}{2}[/tex]

[tex]\text{Median}=\frac{7}{2}=3.5[/tex]

Therefore, the median of new data set will be 3.5.

[tex]\text{Mean}=\frac{1+2+2+2+3+4+4+4+5+12}{10}[/tex]

[tex]\text{Mean}=\frac{39}{10}[/tex]

[tex]\text{Mean}=3.9[/tex]

Therefore, mean of new data set will be 3.9.

Upon looking at our given statements we can see that 3rd statement is true as mean and median both increased after adding 12 to our data set, but mean increased more that median. Mean and median before adding 12 was 3; but after adding 12 median became 3.5, while mean became 3.9 (which is greater than mean).

Answer:

The mean will increase more than the median, but both will increase.

Step-by-step explanation:

Answer: 2 solutions.

The given equation breaks down into these two equations

3x+12 = 18 and 3x+12 = -18

Basically 3x+12 equal to plus 18 and minus 18. This is due to the fact that something like |x| = 7 means x = 7 or x = -7, ie those x values are exactly seven units away from zero on the number line.

If you want to solve each equation, then

3x+12 = 18

3x = 18-12

3x = 6

x = 6/3

x = 2 is one solution

and

3x+12 = -18

3x = -18-12

3x = -30

x = -30/3

x = -10 is the other solution

Answer: if you simplify 12/16 to 3/4 then you multiply that fraction by 25 you get 75/100 which translates to 75%.

Answer:

two irrational numbers are [tex]\sqrt{0.3},\sqrt{0.4}[/tex]

Step-by-step explanation:

We are given to find irrational number

we know that

irrational numbers are numbers that can not be represented as simple fraction

For example:

[tex]\sqrt{2} ,e,\pi[/tex]

but those irrational numbers should be between 0.3 and 0.7

so, we can take sqrt numbers between 0.3 and 0.7

we know that

[tex]\sqrt{0.3}=0.5477[/tex]

[tex]\sqrt{0.4}=0.632455[/tex]

Both values lies between 0.3 and 0.7

so, two irrational numbers are [tex]\sqrt{0.3},\sqrt{0.4}[/tex]

Question 1: (0,2) because b value in mx+b is y-intercept

Question 2: plug in 4 for x you will get 1 so max is (4, 1)

Question 3: plug in -4 for x you will get -5 so min is (-4, -5)

Hope it helps :D

Answer:

1 foot

Step-by-step explanation:

yuhh im doing the test so

The edge length of the original and new kennels were 3 and 4 feet respectively. Therefore, each edge length of the kennel increased by 1 foot.

Your question involves understanding the relationship between a cube's size, or its edge length, and its volume. The volume of a cube is calculated by cubing the edge length (Volume = Edge Length³). Therefore, the edge length of the original kennel is the cube root of 27, which is 3 feet. The edge length of the new kennel is the cube root of 64, which is 4 feet. So, each edge length of the kennel was increased by 1 foot (4-3).

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Final answer:

To find the result of dividing 22.11 by 11, you simply divide 22.11 by 11, yielding an answer of 2.01. This basic division operation demonstrates how to divide a decimal by a whole number.

Explanation:

The question is asking to divide 22.11 by 11. To solve this, you would take the number 22.11 and divide it by 11. Dividing these numbers is straightforward and can be done using long division or a calculator.

Step 1: Place 22.11 under the division bracket and 11 outside of it.

Step 2: Determine how many times 11 fits into 22.11. Since 11 goes into 22 exactly two times, you write 2 above the division bracket, aligned with the last digit of 22.

Step 3: Multiply 2 (the quotient) by 11 (the divisor) to get 22, and subtract this from 22.11, leaving you with a remainder of 0.11.

Step 4: Bring down the next digit (if any), but since we already have no more digits left in 22.11, we look at the remainder. In practical terms for simple school-level math, we can stop here, acknowledging that 11 goes into 22.11 twice without a perfect division due to the decimal.

The actual answer to 22.11 divided by 11 is 2.01.

Answer:

Carol      PLEASE GIVE BRAINLIEST

Step-by-step explanation:

Jon = 6 patients in 1.5 hours

6 ÷ 1.5 = 4 patients per hour

Carol = 10 patients in 2 hours

10 ÷ 2 = 5 patients an hour

Carol sees more patients per hour.

Answer:

35,880

Step-by-step explanation:

 4

 1

 690

    52

 1380

34500

35880

Hope this helps you!!! :)

Answer:

1 ft³

Step-by-step explanation:

The formula for the volume of a cube is  

Vol. = l³ = l × l × l

If l = 1 ft,

V = 1 ft × 1 ft × 1 ft

V = 1 ft³

The volume of the cube with each side measuring 1 foot is 1 cubic foot, calculated by the formula V = 1 ft × 1 ft × 1 ft or simply V = s³.

The volume of a cube can be determined by multiplying its three dimensions together. In this case, the cube has dimensions of 1 foot in length, 1 foot in width, and 1 foot in height. The formula for the volume of a cube is V = length  imes width  imes height. Therefore, for a cube with all sides of 1 foot each, the volume is straightforwardly calculated as:

V = 1 ft × 1 ft × 1 ft = 1 cubic foot.

The properties of a cube tell us that all sides are equal, and thus, to find the volume, we can also use the expression V = s³, where s is the length of a side of the cube. Since each side is 1 foot, the volume is indeed 1 cubic foot or 1 ft³. This simple calculation is a great example of how to apply geometric principles to find volume.

Answer:

The expression equal to 2x^(2)+8 is:

First option (2x-4i)(x+2i)

Step-by-step explanation:

If we multiply

(2x-4i)(x+2i)=(2x)(x)+(2x)(2i)-(4i)(x)-4i(2i)

(2x-4i)(x+2i)=2x^(1+1)+4xi-4xi-8i^(1+1)

Simplifying:

(2x-4i)(x+2i)=2x^2-8i^2

and i^2=-1, then:

(2x-4i)(x+2i)=2x^2-8(-1)

Multiplying:

(2x-4i)(x+2i)=2x^2+8

To find the expression that is equal to 2x^(2) + 8, simplify each option by expanding the multiplication and then compare it to the original expression.

To find the expression that is equal to 2x^(2) + 8, we need to simplify each option by expanding the multiplication and then compare it to the original expression.

Let's simplify each option:

The expression that is equal to 2x^(2)+8 is (2x-4i)(x-2i).

Answer:

12 and 136

Step-by-step explanation:

12 divided by 2 is 6, and 136 divided by 2 is equal to 68.

For the two numbers the quotient is between 136 divided by 6 will be 22 and 23.

We may examine the division and take into account the closest whole numbers to the quotient in order to get the two numbers that are the product of 136 divided by 6.

(Rounded to four decimal places) 136 divided by 6 equals 22.6667. 22 and 23 are the whole numbers that are most similar to this quotient.

We may then deduce that the value of the quotient of 136 divided by 6 is between 22 and 23. Accordingly, the outcome of the division of 136 by six will be a number more than or equal to 22 but less than 23. To put it another way, the quotient falls between [22, 23].

More about the Algebra link is given below.

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The inequality to represent the situation is 335 + d ≥ 575; Rhonda must collect at least '240 stamps' in order to reach her goal.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

Given that the Stamps Rhonda wants to collect = 575

The Stamps already in collection = 335

Let consider 'd' represents the number of stamps Rhonda needs to achieve her goal.

Thus, the Stamps to collect + Stamps already in collection ≥ 575

d + 335 ≥ 575

d ≥ 575 - 335

d ≥ 240

Hence, The inequality to represent the situation is 335 + d ≥ 575; Rhonda must collect at least '240 stamps' in order to reach her goal.

Learn more about inequalities here:

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Final answer:

To find how many more stamps Rhonda needs to collect to reach her goal, utilize the inequality 335 + d ≥ 575 with d representing the additional stamps needed, resulting in d ≥ 240.

Explanation:

Rhonda's Inequality:

335 + d ≥ 575; d ≥ 240

To determine how many more stamps Rhonda must collect to reach her goal, we set up the inequality 335 + d ≥ 575, where d represents the number of stamps she must collect. By solving this inequality, we find that Rhonda needs to collect at least 240 more stamps to reach her goal.

check the picture below.

make sure your calculator is in Degree mode.

Answer:

2.735

Step-by-step explanation:

:)