The area of a rectangle is 108m^2 and its diagonal is 15m. Find the perimeter of the rectangle. Please without quadratics.

The point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

We have the line

[tex]y-2=-\dfrac{1}{4}(x+3)\to m=-\dfrac{1}{4}[/tex]

If m₁ and m₂ are the slopes of the perpendicular lines, then

[tex]m_1m_2=-1\to m_2=-\dfrac{1}{m_1}[/tex]

Therefore the slope of ouer line is

[tex]m=-\dfrac{1}{-\frac{1}{4}}=4[/tex]

We have the point (-3, 5). Put the coordinates to the equation of a line in the point-slope form:

[tex]y-5=4(x-(-3))\\\\\boxed{y-5=4(x+3)}[/tex]

Answer:

1

Step-by-step explanation:

using the definition of n[tex]C_{r}[/tex]

= [tex]\frac{n!}{r!(n-r)!}[/tex]

where n! = n(n - 1)(n - 2)........ × 3 × 2 × 1

note that 0! = 1

8 [tex]C_{8}[/tex] = [tex]\frac{8!}{8!(0!)}[/tex]= 1 ← cancel 8!

Answer:

[tex]\frac{h+p+32}{4}[/tex]

Step-by-step explanation:

distribute the parenthesis

h + p = 4k - 32 ( isolate 4k by adding 32 to both sides )

h + p + 32 = 4k ( divide both sides by 4 )

k = [tex]\frac{h+p+32}{4}[/tex]

expand the brackets, to get 4k-32

sp you have; h + p = 4k - 32

add 32 to both sides==     h + p + 32 = 4k

/4

k= (h + p+ 32)/4

It's a linear function. We need only two points to the plotting of the graph.

[tex]3x+5y=-15\qquad\text{subtract 3x from both sides}\\\\5y=-3x-15\qquad\text{divide both sides by 5}\\\\y=-\dfrac{3}{5}x-3\\\\for\ x=0\to y=-\dfrac{3}{5}(0)-3=0-3=-3\to(0,\ -3)\\\\for\ x=-5\to y=-\dfrac{3}{5}(-5)-3=-3+3=0\to(-5,\ 0)[/tex]

Answer:

The answer is C. Skew lines do not intersect, and parallel lines do not intersect.

Final answer:

To simplify the expression 6a - 2(a - 1), distribute the -2 across the terms inside the parentheses, and then combine like terms to get the simplest form, which is 4a + 2.

Explanation:

To simplify the expression 6a - 2(a - 1), you need to distribute the -2 across the terms inside the parentheses and then combine like terms. Here's the process step by step:

The simplest form of the expression is 4a + 2.

2 tenths is equal to 0.2 in decimal format. This is derived from its fraction format, 2/10, and its place value in the base-ten number system, which is a 'tenths' place.

In mathematics, the value that is equivalent to 2 tenths is 0.2. This is because when we say 'tenths', we are referring to a fractional or decimal value that has a denominator of ten in the context of fractions or one place after the decimal point.

Therefore, 2 tenths is essentially 2 divided by 10 which equals 0.2 in decimal format. We can further illustrate this using a base-ten number system. In this system, each place to the right of the decimal point represents a 'tenths' place value. Therefore, in the number 0.2, the digit '2' is in the 'tenths' place.

https://brainly.com/question/31738948

#SPJ3

Answer:

see below    PLEASE GIVE BRAINLIEST

Step-by-step explanation:

9/20  = .45  = 45%

9/200 = .045  =  4.5%

9/2000 = .0045 = .45%

To convert between decimals, fractions, and percents, you can follow these steps:

To correctly convert between decimals, fractions, and percents:

https://brainly.com/question/31738948

#SPJ2

Answer: 40 ounces=2.5 pounds

Step-by-step explanation:

Since 1 pound=16 ounces. You have to see how many times 16 goes into 40, it goes in forty 2 times with 8 left over so that means we need  decimal, since 8 is half of 16 the answer is 2.5.

Final answer:

To convert 40 ounces of meat to pounds, divide by the unit equivalence of 16 ounces per pound, resulting in 2.5 pounds of meat needed for the recipe.

Explanation:

The student is asking how many pounds are equivalent to 40 ounces of meat. To find the answer, you will need to know the unit equivalence between ounces and pounds.

The unit equivalence is 1 pound = 16 ounces. Therefore, to convert ounces to pounds, you divide the number of ounces by the unit equivalence.

Converting 40 ounces to pounds:

40 ounces ÷ 16 ounces/pound = 2.5 pounds

So, the recipe requires 2.5 pounds of meat.

So firstly, we need to find the discounted price. Since this is going to be a decrease by percentage, we will be using this format:

In this case:

[tex]15\% = 0.15\\\\(1-0.15)*83\\0.85*83\\70.55[/tex]

Now that we have the discounted price, we must apply the 4.5% sales tax. Since this is going to be an increase by percentage, we will be using this format:

In this case:

[tex]4.5\%=0.045\\\\(1+0.045)*73.55\\1.045*70.55\\73.72[/tex]

Now we have the discounted price with the sales tax. Now all we have to do is add the shipping fee:

[tex]73.72+6.35=80.07[/tex]

The total price of Enzel's purchase is $80.07.

Answer:

A) $80.07

Step-by-step explanation:

for all the lazy ones who don't want to actually learn :)

ED2020

To earn the same amount of simple interest as $600 with 2.5% interest over six years ($90), another investment combination that would yield the same interest amount is $1,000 at 3% interest for 3 years.

The student is asking which investment would earn the same amount of simple interest as a principal of $600 with 2.5% interest over 6 years. The formula for calculating simple interest is Interest = Principal  imes Rate  imes Time. For the given principal of $600 with 2.5% interest over 6 years, the interest earned would be:

Interest = $600  imes 0.025  imes 6

Interest = $90

To find another investment with the same interest earned, one must find a principal, rate, and time that satisfy the equation:

Interest Earned = New Principal  imes New Rate  imes New Time = $90

An example would be a principal of $1,000 with 3% interest for 3 years:

Interest Earned = $1,000  imes 0.03  imes 3

Interest Earned = $90

This indicates that both investments would earn the same amount of interest over their respective periods.

Answer:

225 players (including the substitutes)

Step-by-step explanation:

11 regular player and 4 substitutes makes 15 team members per team.

15 players on each team times 15 teams gives you 225 players in total.

The total number of players on 15 soccer teams can be calculated by multiplying the total number of players (including regular and substitute) on one team (16 players) by the number of teams (15), which equals 240 players.

The subject of this question is Mathematics, and it's referencing a concept of multiplication in a real-world context. To determine the total number of players on 15 soccer teams, you consider that each team is composed of 11 regular players and 5 substitutes. So, the total number of players on one team is 16 (11 regular players + 5 substitutes).

To find out the number of players on 15 teams, you multiply the number of players on one team by 15. That is, 16 players * 15 teams = 240 players. So, there are 240 players on 15 soccer teams.

https://brainly.com/question/5992872

#SPJ12

Answer:

Consider the given figure.

Given: [tex]\angle A=\angle D[/tex]

To prove: [tex]\Delta ACB \sim \Delta DCE[/tex]

Proof:

   Statements                                                               Reasons

1. [tex]\angle BCA = \angle DCE[/tex]                      Vertically opposite angles

2. [tex]\angle A = \angle D[/tex]                                   given

Hence, the given triangles are similar by AA similarity criteria as "AA criterion for triangle similarity states that if two triangles have two pairs of congruent angles, then the triangles are similar".

Answer:

n-3

Step-by-step explanation:

Answer:  The required expression is [tex]n-3.[/tex]

Step-by-step explanation:  We are given to write an expression for the following statement :

"n decreased by 3."

We know that

if we are decreasing a units from some quantity b, then we should subtract a from b.

This is written as follows :

[tex]E=b-a.[/tex]

Therefore, for the given expression, we should subtract 3 from n.

This can be written as :

[tex]E=n-3.[/tex]

Thus, the required expression is [tex]n-3.[/tex]

The explicit rule for the given arithmetic sequence is an = -2 + (n - 1) * (-9)

An arithmetic sequence is a sequence of numbers in which each term is found by adding a common difference to the previous term. In this case, the recursive rule for the arithmetic sequence is given as a1 = -2 and an = an-1 - 9.

To find the explicit rule for this sequence, we need to find a formula that directly calculates the nth term of the sequence. We can do this by examining the pattern in the sequence:

From the pattern, we can see that each term is obtained by subtracting 9 from the previous term. So, the explicit rule for this arithmetic sequence is given by:

an = a1 + (n - 1) * d

where a1 is the first term, n is the term number, and d is the common difference. Plugging in the values, we have:

an = -2 + (n - 1) * (-9)

Simplifying this equation gives the explicit rule for the sequence.

Final answer:

The explicit rule for the arithmetic sequence is an = -2 + (n-1)(-9).

Explanation:

An explicit rule for an arithmetic sequence is given by the formula:

an = a1 + (n-1)d

Where:

an is the nth term of the sequence

a1 is the first term of the sequence

n is the position of the term in the sequence

d is the common difference between consecutive terms

In this case, the first term (a1) is -2 and the common difference (d) is -9. Therefore, the explicit rule for this sequence is:

an = -2 + (n-1)(-9)

Answer:

3 * 13 is the prime factorization

Step-by-step explanation:

We need to break 39 down into primes

39 = 3 * 13

Both 3 and 13 are primes so we are done

Answer:

3*13

Step-by-step explanation:

the factors of 39 are 3 and 13

I don't see any questions. I will gladly help you when you upload the questions.

Answer:

18r

Step-by-step explanation:

Multiply 9 by 2

Answer:

True

Step-by-step explanation: This is an example of structural unemployment because the economy changed forcing businesses to change and this of course made the workers that used to be compatible with this job  incompatible making it a structural unemployment.

Structural unemployment is the correct term for the unemployment that occurs when there is a mismatch between workers and work due to changes in the economy.

True, structural unemployment occurs when there is a mismatch between the skills and qualifications of the available workers and the requirements of the available jobs due to changes in the economy.

https://brainly.com/question/33583744

#SPJ2

check the picture below.

notice, we can find the area of the pink triangle (garden), since we know its base and height, we can also find the areas of the yellow triangle (lawn), since we also know its base and height.

[tex]\bf \stackrel{\textit{area of the garden}}{\cfrac{1}{2}(40)(70)}\implies 1400~\hfill \stackrel{\textit{area of the lawn}}{\cfrac{1}{2}(100)(70)}\implies 3500 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{\textit{area of the lawn}}{\textit{area of the garden}}\qquad \qquad \cfrac{3500}{1400}\implies \cfrac{5}{2}\implies 2\frac{1}{2}\textit{ times larger}[/tex]

Answer:

she can watch 3.5 hours this week.

Step-by-step explanation:

Julia is allowed to watch no more than 5 hours of television a week.

Let x be the number of hours she can watch per week

number of hours not more than 5 hours

so x<=5

She already watched 1.5 hours. so inequality becomes

x+ 1.5 <= 5

Now we solve for x

subtract 1.5 on both sides

x + 1.5 < = 5 - 1.5

x < = 3.5

So, she can watch 3.5 hours this week.

g(-6) This means that x = -6, so you can plug in -6 for "x" in the equation

g(x) = 3x + 5

g(-6) = 3(-6) + 5

g(-6) = -18 + 5

g(-6) = -13

To find g(-6), substitute -6 into the given function and simplify the expression.

To find g(-6), we substitute -6 into the given function, g(x) = 3x+5.

So, g(-6) = 3*(-6) + 5

g(-6) = -18 + 5

g(-6) = -13

Therefore, g(-6) = -13.

https://brainly.com/question/18543961

#SPJ2

To make 12 pancakes, Dan should use 20g of plain flour, 2 eggs, and 50ml of milk.

To determine the quantity of each ingredient needed to make 12 pancakes, we can use the ratio of ingredients given in the recipe:

240g plain flour : 2 eggs : 600ml milk

To find the quantity of plain flour needed for 12 pancakes, we can set up a proportion:

240g / x = 12 / 1

Cross multiplying, we get:

x = (240g * 1) / 12

x = 20g

Therefore, Dan should use 20g of plain flour for 12 pancakes. Similarly, he should use 2 eggs and 50ml of milk for 12 pancakes.

The answer is A. g(x).

Here's why:

f(x) = -x^4 - 2: This function is a downward-facing parabola (due to the negative coefficient of x^4) with a maximum y-value at its vertex. The vertex occurs at x = 0, and the maximum y-value is f(0) = -2.

g(x) = -3x^3 + 2: This function is a cubic function with a local maximum, but it does not have a global maximum. However, its maximum value is still greater than the maximum value of f(x).

Key points:

The maximum y-value of f(x) is limited to -2 because of the negative leading coefficient and the constant term of -2.

g(x) doesn't have a defined maximum y-value, but it can reach values greater than -2, making its maximum value larger than that of f(x).

Therefore, g(x) has the largest maximum y-value among the two functions.

My guess is the two 12 inch pizza which in a total is 24 I’m not really good at math but I think this is the correct answer

Answer:

Two 12 inch pizzas

Step-by-step explanation:

Multiply12x2= 24 inches compared to 1 20inch pizza

Answer:

11/4

Step-by-step explanation:

Answer:

40 minutes

Step-by-step explanation:

Day 1) Monday --> 10 min.

Day 2) Tuesday --> 15 min.

Day 3) Wednesday --> 20 min.

Day 4 )Thursday --> 25 min.

Day 5) Friday --> 30 min.

Day 6) Saturday --> 35 min.

Day 7) Sunday --> 40 min.

Using the formula for the nth term in an arithmetic sequence, we find that Jasmine will practice for 40 minutes on the 7th day.

The problem can be solved by using arithmetic progression. The first term of this sequence is the amount of time Jasmine spent practicing on Monday, which is 10 minutes. The common difference is the amount of time she adds to her practice every day, which is 5 minutes. To find out how long she will practice on the 7th day, we can use the formula for the nth term in an arithmetic sequence: a + (n-1)d.

Plugging in our values, we find:
10 + (7-1)*5 = 10 + 30 = 40.

So, Jasmine will practice for 40 minutes on the 7th day.

https://brainly.com/question/35697112

#SPJ2

Answer:

Option D 63°

Step-by-step explanation:

Two secants AE and CD intersect each other at point B inside the circle.

So by secants theorem,

[tex]\frac{m(AC)+m(DE)}{2}[/tex] = ∠ABC = ∠DBE

= [tex]\frac{1}{2}[/tex] ( 82 + 44 )

= [tex]\frac{1}{2}[/tex] ( 126)

= 63

Option D 63° is the answer.