Triangle PQR has vertices (2,2) (5,-4) and (-4,-1). What type of triangle is triangle PQR

Final answer:

The inequality 4 − d < 4 + d solves down to d > 0, meaning any positive number for d will satisfy the inequality. We achieve this by eliminating like terms and isolating the variable on one side.

Explanation:

To solve the inequality 4 − d < 4 + d, we want to find the values of d that make the inequality true. We can do so by following these steps:

Subtract 4 from both sides of the inequality to simplify it: 4 − d − 4 < 4 + d − 4, which simplifies to −d < d.

Add d to both sides to get all the d terms on one side: −d + d < d + d, which simplifies to 0 < 2d.

Divide both sides by 2 to solve for d: 0 / 2 < 2d / 2, which simplifies to 0 < d.

The solution to the inequality is d is greater than 0. In other words, any positive number for d will satisfy the inequality.

By dividing the total budget ($350) by the cost per hour ($45), we can tell that the family can rent a jet ski for 7 hours.

This problem involves a simple division process. Given that, the rental fee for jet ski is $45.00 per hour and your family has allocated $350 for this. We can solve this problem by dividing the total budget by the cost per hour.

So, $350 ÷ $45 = 7.777. But since we can't rent a jet ski for partial hours, we only consider the whole number. Hence, Your family can rent a jet ski for 7 hours with a budget of $350.

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Hello,

If this is the case, i would division.

4 devided by 5 is 1 reminder 1.

Plz mark brainliest

*i think i got it right!*

The drama club used 0.5 of the gymnasium floor for the stage, and 0.4 of that for the backstage area. Therefore, the equation representing the portion of the gymnasium used for the backstage area is 0.2F = backstage area, where F represents the total gymnasium floor space.

The drama club used 0.5 of the total gymnasium floor space to build a stage. But they further used 0.4 of that space for a backstage area. If the total floor space is represented by the variable F, the portion used for the stage would be 0.5F. The space used for the backstage area would be 0.4 of that, so it would be 0.4 * 0.5F = 0.2F. So the equation representing the situation is 0.2F = backstage area.

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Answer:

125x3−150x2+60x−8/x+11

the quotient of the cube of the difference of 5x and 2 and the sum of x and 11

2(x+14) + 2(x) after using the distributive property will be 2x+28+2x. What I did to find this is multiply the number outside of the opening parentheses by everything inside of the pair of parentheses.

Judging from the graph (attached), there is one negative and one positive zero. Since this is a 4-th order polynomial, it has 4 zeros in total. So there are 2 complex zeros with imaginary components.

the factors are: 1,2,4,5,10,20. So Therefore there are 6 factors.

Prime numbers have only one rectangular array. Numbers with four factors have two types of rectangular array: 8 has 1 x 8 and 2 x 4. Numbers with six factors have three rectangular arrays: 20 has 20 x 1, 10 x 2, and 5 x 4.

The pattern is [tex]n^2-2n[/tex]

And, the 8th term of the pattern is 48.

Given that,

Based on the above information, the calculation is as follows:

1 2 5 10 17

Here second number is calculated by adding 1, the third number is calculated by adding 3, the fourth number is calculated by adding 5, and the last number is calculated by adding 7

So,  

+1 +3 +5 +7

+2 +2 +2

Now  

[tex]2\div 2=1[/tex]

Therefore it starts with [tex]n^2[/tex]

[tex]n^2[/tex] = = 1 4 9 16 25  

-0 -2 -4 -6 -8

-2 -2 -2 -2

Therefore we have -2n

Now  

The 8th term should be

[tex]= 8^2- 2\times 8[/tex]

= 64-16

= 48

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Answer:

The scatter diagram that contains the correlation coefficient closest to r = 1 is the first one shown in the attached images.

Step-by-step explanation:

The correlation coefficient "r" measures how much two variables x and y are related. When the variables are highly related, the value of r is closer to one and the points contained in the scatter diagrams are assimilated more and more to a line. When the value of r is positive the relation is crescent and therefore the slope of the line drawn by the points in the diagram has a positive slope

Therefore, to answer this question, one must search among the attached images for the dispersion diagram in which the points resemble a straight line with a positive slope.

The scatter diagram that meets the requirements mentioned is the first one that appears in the attached images

The scatterplot with a correlation coefficient closest to r = 1 is the one shown in the image below.

Therefore, a scatterplot with a correlation coefficient that is closest to r = 1 will have a slope whose data points lie almost on a straight line and slopes upwards to the right.

Therefore the scatterplot with a correlation coefficient closest to r = 1 is the one shown in the image below.

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Kat's study score rate is 5 points per hour. To achieve a score of 90, given her current study rate, she should spend 18 hours studying for the exam.

Since the average score Kat gets on her exams is proportional to the amount of time she studies, her score is a measure of her rate of study. This 'rate' can be computed as the score divided by the time she studies. She got a 75 after studying for 15 hours, so her rate is 75/15 = 5 - this means she scores 5 points per hour of studying.

To figure out how many hours she needs to study to score a 90 in the next exam, divide the score she needs (90) by her rate (5). So, 90/5 = 18. Thus, Kat needs to study for 18 hours to achieve a score of 90 on her next exam.

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Answer

Find out the how many fertilizer she used for a 450-foot row of vegetables.

To proof

let us assume that the fertilizer would she use for a 450-foot row of vegetables be x.

As given

Cala uses 2 pounds of Feed-All fertilizer for a 100 foot row of vegetables at her farm.    

than the equation becomes

[tex]x = \frac{2\times450}{100}[/tex]

solving the above

x = 9 pound

Therefore 9 pound are used  for a 450-foot row of vegetables.

Hence proved

one Brian's item cost: x

one Chris' item cost: x+2.5

Set up equation:

Brians amount = Chris amount

4*x = 3*(x+2.5)

solve for x:

4x = 3x + 7.5

x = 7.5

Brian's items cost $7.5 each.

Check:

Brian paid 4*7.5 = $30

Chris paid 3*10 = $30

The individual cost of Brian's items was $7.50, and the indiv. cost of Chris' items was $10.

1 day = 24 hours.

7 days x 24 hours per day = 168 hours

1 hour = 60 minutes.

168 hours x 60 minutes per hour = 10,080 total minutes.

195 pages / 10,080 minutes = 0.019 = 0.02 pages/min.

The answer is A.

The answer is A

This is because 7 days is equivalent to 10080 minutes.

To get the number of pages read per minute, divide 195 by 10080 to get approximately 0.02

Step 1. Divide both sides by 2

2x + 1 = 26/2

Step 2. Simplify 26/2 to 13

2x + 1 =13

Step 3. Subtract 1 from both sides

2x = 13 - 1

Step 4. Simplify 13 - 1 to 12

2x = 12

Step 5. Divide both sides by 2

x = 12/2

Step 6. Simplify 12/2 to 6

x  = 6

When converting a number from scientific notation with a negative exponent to standard notation, the result is a decimal number less than one. The scientific notation's negative exponent indicates how many places to move the decimal point to the left in the standard form.

When the scientific notation of a number has a negative exponent, it signifies that the standard notation of the number will be a decimal less than one. For example, if the scientific notation is 3.5 × 10-4, then the standard notation would be 0.00035. This transition is made by moving the decimal point to the left instead of to the right, which would be the case with a positive exponent. Each step the decimal point moves to the left corresponds to one negative power of ten.

In standard notation, the number is expressed in its regular decimal form without any exponents. For very small numbers, a negative exponent in scientific notation helps to simplify and make the representation more readable.

For instance, the size of a virus might be about 0.000000025 meters. In scientific notation, this is written as 2.5 × 10-8 meters. Converting this back to standard notation, we'd move the decimal point to the right eight places, giving us the small standard number mentioned before.

answer:  [tex]x = 5[/tex]

work:

[tex]5x+10=7x+4[/tex]  | subtract 5x and move it over to the 7x, and solve

[tex]10 = 2x + 4[/tex]  | subtract 4 and move it over to the 10, and solve

[tex]6 = 2x[/tex]  | divide by 2

[tex]3 = x[/tex]  | final answer

hope this helps! ❤ from peachimin

You're slope intercept form is: y = mx + b, in which:

m = slope

b = y-intercept

Plug in the -3 for m, and 7 for b

y = -3x + 7 is your slope-intercept form.

hope this helps

Answer:

No, Sara can only cut 8 equal-sized pieces with maximum longitude and no wood left over.

Step-by-step explanation:

For finding which longitude meets the requirements (to be the longest with no wood left over) we must decompose 18 and 30 in their prime factors.

For doing so, we look for the prime numbers that divide 18 and 30, as follows

18 | 2              30 | 2

9  | 3               15 | 3

3  | 3                5 | 5

1                       1

Thus 18=2*3*3, and 30=2*3*5.

The maximun number that divides both 18 and 30 must be 2*3=6, because these are the prime numbers that both decompositions have in common.

6 represents the maximum longitude for a piece of wood with no leftovers.

Since 18/6=3, and 30/6=5, we can only obtain 5+3=8 wood pieces from the boards.

Of course, we can cut in a half the 8 pieces obtaining 16 equal-sized pieces of wood, but unfortunately, they won't be the longest pieces possible.

Set of points lies on given graph

(-4,11) , (-2,7), and (1, 1)

Answer

D. (-4,11),(-2,7),(1,1)

Answer:

1 and 5 are Corresponding angles.

Step-by-step explanation:

Given  : Figure with two transverse line l , m .

To find : 1 and 5 are _____ angles.

Solution : We have given  Line l , m and  transverse line t .

Corresponding angle  :

The angles in matching corners are called Corresponding Angles.

Example : 1 ,5 and 2 ,6 .

So , angle 1  and  5 are Corresponding angle.

Therefore,  1 and 5 are Corresponding angles.

-24-1/8p=3/8p

Rewrite as

3/8p=-24-1/8p

Add -1/8p both sides

1/2p= -24

Multiply 2 to each side

P= -24(2)

P=-48

The value of p is 48 for the equation 24 - 1/8p = 3/8p.

To solve this equation -24 - 1/8p = 3/8p.

24 - 1/8p = 3/8p.

Subtract 24 on both side,

24 - 1/8p -24 = 3/8p - 24,

- 1/8p = 3/8p - 24

Add 1/8p on both side,

1/8/p - 1/8p = 3/8p - 24 + 1/8p

0 = 1/2p -24

24 = 1/2p

p = 48.

Therefore, the value of p is 48.

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[tex]52-2x=4\\\\2x=48\\\\x=24[/tex]

Answer: x = 24

Step-by-step explanation:

52 - 2x = 4

-52          -52

__________

-2x = -48

___   ___

-2        -2

x = 24

hope this helps! ❤ from peachimin

4,285.714%

unless you need it siplified?

Answer:

4285.714%

Step-by-step explanation:

Multiply 42.85714 by 100 to convert to percent:

42.85714 × 100 = 4285.714 %

Hope this helps :-)

Given

Annual fixed costs for a product are $75,000.

The product i sells for $6

it costs $2 in variable costs to make each product.

the variable cost per unit goes up to $2.50

find out how many units will the annual break-even point for the product change .

To proof

FORMULA

Break even = Fixed cost ÷  Contribution margin per unit

where

Contribution margin per unit = sale price - variable price

Take two cases

Case first

fixed costs for a product =  $75,000

product itself sells =  $6

variable costs  = $2

put all the value in the above equation

we get

Contribution margin per unit = 6 - 2

                                               = 4

[tex]Break even (say B1 ) = \frac{75000}{4}[/tex]

                                        = 18750 units

CASE SECOND

 the variable cost per unit goes up to $2.50

put value inthe formula

Contribution margin per unit = 6 - 2.50

                                               = 3.5

[tex]Break even (say B2 ) = \frac{75000}{3.5}[/tex]

we get

Breakeven (sayB2) = 21428.6 unit

change in the break even product = B2- B1

                                                         = 21428.6 - 18750

                                                        =  2678.6 unit

Hence proved

The annual break-even point for the product will increase by approximately 2,679 units if the variable cost per unit goes up to $2.50.

To determine the break-even point, we need to calculate the number of units that need to be sold in order to cover the fixed costs. The formula to calculate the break-even point is:

Break-Even Point = Fixed Costs / (Selling Price per Unit - Variable Cost per Unit)

In this case, the fixed costs are $75,000, the selling price per unit is $6, and the variable cost per unit is $2.

To find the current break-even point, we can substitute these values into the formula:

Break-Even Point = $75,000 / ($6 - $2) = $75,000 / $4 = 18,750 units

If the variable cost per unit goes up to $2.50, we can substitute this new value into the formula to find the new break-even point:

Break-Even Point = $75,000 / ($6 - $2.50) = $75,000 / $3.50 = 21,428.57 units

Therefore, the annual break-even point for the product will increase by approximately 2,679 units if the variable cost per unit goes up to $2.50.

he is 10 miles east of his school because:

  N

W-|-E          So if you consider the middle of the lines the school and draw a line four             S               miles west then you go backwards (east) fourteen miles. you get 10.

Equation: 0+4=4     |4-14|=10

Peter is 10 miles east of his school after his run.

To determine how far past his school Peter is after his run, we need to calculate the total displacement from his starting point. Since he ran 4 miles west and then 14 miles east, the total displacement is the difference between the two distances, which is 10 miles east. Therefore, Peter is 10 miles east of his school after his run.

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y=12 is false answer.