The perimeter is 26. How much bigger is the longest side than the shortest side?

The Perimeter Is 26. How Much Bigger Is The Longest Side Than The Shortest Side?

Answers

Answer 1

Answer:

8

Step-by-step explanation:

the perimeter is the sum of the 3 sides of the triangle.

Given perimeter = 26 , then

2a - 3 + 2a + 3a + 1 = 26 , that is

7a - 2 = 26 ( add 2 to both sides )

7a = 28 ( divide both sides by 7 )

a = 4

then

shortest side = 2a - 3 = 2(4) - 3 = 8 - 3 = 5

longest side = 3a + 1 = 3(4) + 1 = 12 + 1 = 13

the difference between the 2 sides is 13 - 5 = 8

the longer side is 8 units bigger than the shortest side


Related Questions

what is 9^256? will give brainliest

Answers

Answer:

1.93233498E244

Step-by-step explanation:

Answer:

3.14159265

Step-by-step explanation:

PLEASE SHOW WORK
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Answers

Answer:

Step-by-step explanation:

Which choice is a correct equation for the graph shown below?
A y = 2x + 20
B. y = 3x + 1
C. y = 10x + 5
D. y = 15x + 35

Answers

Answer:

Option C -   y=10x + 5

Step-by-step explanation:

All the options are in the y =mx+c form.

The gradient is 10 and the y-intercept is 5

so our answer it option c

Answer:

C. y = 10x + 5

Step-by-step explanation:

[tex]y = mx + c \\ \\ m = \frac{y2 - y1}{x2 - x1 \\ } \\ m = \frac{25 - 5}{ 2 - 0} \\ m = \frac{20}{2} \\ m = 10 \\ y = 10x + c \\ y = 10x + 5[/tex]

c = the y-intercept

a college instructor is interested to compare final exam scores for three different sections of a statistics course: an online section versus a hybrid section versus a face to face section. the final exam scores for a sample of students from each of these three course sections are provided in the attached dataset. the instructor is interested to know if there is a statistical difference in the average final exam scores for these three sections of a statistics course, or if the average test scores are statistically the same. the instructor has confirmed that the samples were randomly selected and independent, and the populations have normal distribution and the population variances are equal.

Answers

The computation shows that the degree of freedom for the numerator is 2 while it's 67 for the denominator.

How to compute the value?

It should be noted that degree of freedom is calculated as:

= k - 1

where k = variable in a data

k = 3.

Degree of freedom = 3 - 1 = 2

The degree of freedom for numerator is 2.

The degree of freedom for denominator is:

n - k

= 70 - 3

= 67

The degree of freedom for denominator is 67.

Note that the complete question is attached.

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In the figure below, m

Answers

Answer:

63

Step-by-step explanation:

Angle ABD equals 89. That is the whole figure. Angle EBD equals 26. So 89 minus 26 equals 63. So Angle ABC equals 63 degrees.

The price of a train ticket from Atlanta to Phoenix is normally $131.00. However, the train company is offering a special 70% discount to children under the age of 16. What is the sale price of a ticket from Atlanta to Phoenix for someone under the age of 16?

$91.70
$39.30
$222.70
$55.02

Answers

Answer:

$39.30

Step-by-step explanation:

First find out 70% which is $91.70

And then do 131-91.70=39.30

please give me brainiest and hope this helped let me know if you have any questions

You will get 1 thanks, 5 stars, and 15 points if you answer!

Answers

Answer:

It's C/ Option 3

Step-by-step explanation:

trust me

is d=2t proprtional?????

Answers

Answer:  Yes

The direct variation equation is in the form d = kt, where k is some constant. It's the constant of proportionality. In this case k = 2.

Determine the range of f(x) = |x| + 3

Answers

The range of the function f(x) = |x|+3 is [3,∞)

Given,

The function f(x) =|x|+3

Consider

f(0)=|0|+3= 3

f(1)=|1|+3= 4

f(2)=|2|+3= 5

We know

|x|≥0

So even if we take negative value for x, the |x| will be positive

So,

f(-1)=|-1|+3=1+3=4

f(-2)=|-2|+3= 2+3=5

We know, range is the set of all possible outcomes.

The range of the function f(x)= |x|+3 = [3,∞)

Hence, the range of the function f(x) = |x|+3 is [3,∞).

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Answer:

 {y | 3 ≤ y < ∞}

Step-by-step explanation:

Can someone help me with the radius? please and thank you

Answers

Answer:

r=7cm

Step-by-step explanation:

the diameter (distance from one side of the circle to the opposite side) is given in the picture. the radius is 1/2 the diameter, so r=7cm

*i'm assuming the 14cm given is referring to the straight line in the circle and not the circumference

Can someone please help mee (20 points + brainliest!!!)

Answers

Answer f= 200 v=8
I hope this helps you

simplify the following expression:
3 - x (4 + x) if x = 2

Answers

Answer:

Step-by-step explanation: We can plug 2 into the equation for x:

3 - 2(4 + 2)

Now let's distribute:

3 - 8 - 4

Now we can solve:

3 - 8 = -5

-5 - 4 = -9

Final answer: 3 - x(4 + x) = -9

What color is chicken nugget

Answers

Answer:

orange

Step-by-step explanation:

when you fried chicken nuggets it will turn to orange

it’s like a brown beige. when it gets crispier ist more brown, but when it’s microwaved it’s kinda orangish beige color

Please add steps!! 100 points!!

Construct a line through P that is perpendicular to the line.

Answers

Using the perpendicularity concept, the perpendicular line is given at the end of the answer.

What are perpendicular lines?

Two lines are perpendicular, they intersect at and angle of 90º. Hence, for this problem, to construct a line through P that is perpendicular to the line, we just need to draw a line crossing P at an angle of 90º.

Thus, the perpendicular line is plotted at the end of the answer, with a line inserted crossing P at an angle of 90º.

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Systems of equations with graphing

Answers

The correct option is A. x = 1(1/3) and y = 2(1/3) in the mixed fractions.

What is defined as the system of equations?

A system of equations is a collection of equations that all have the same variables.

If all of the equations are linear, you get a system of linear equations! To fix a system of equations, you must first determine the variable values that will solve all of the equations involved.A solution to an equation system is a set of variable values that satisfy all of the equations at the same time

Now, the given equation in the question are-

7x - y = 7      ........(equation 1)

and x + 2y = 6     ........(equation 2)

Multiplying both side of equation 1 with 2, we get

14x - 2y = 14         ........(equation 3)

Add equation 2 and 3.

x + 2y + 14x - 2y = 6 + 14

15x = 20

x = 4/3

x = 1(1/3)

Substitute the value of x in equation 1.

4/3 + 2y = 6

2y = 6 - 4/3

2y = 14/3

y = 7/3

or y = 2(1/3)

Therefore, the values for variables x and y are calculated as:

x = 1(1/3) and y = 2(1/3).

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Given: B is between A and C, AB = 3x -4, BC = 4x + 2, and AC = 26. What is the value of x?
A. 6
B. 4
C. 3.7
D. 5

Answers

Answer:

B

Ab + bc =ac

3x-4 + 4x+2 =26

7x=28

x=4

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. if they toll together at 11:00, at what time will they toll together again?

Answers

If Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10, and 12 seconds respectively and toll together at 11:00, then they will toll together again at 11:02.

Least common multiple abbreviated as LCM is used to determine the time at which the six bells will toll together again.

The least common multiple of two or more numbers is the smallest number that is a multiple of those numbers.

The least common multiple of 2, 4, 6, 8, 10, and 12 can be found by prime factorization.

Prime factorization of :

2 = 2^1

4 = 2 x 2 = 2^2

6 = 2 x 3

8 =  2^3

10 = 2 x 5

12 = 2 x 2 x 3 = 2^2 x 3

The least common multiple can be calculated by the multiplication of the prime factors raised to their highest power.

Therefore,

LCM = (2^3) (3) (5) = 120

Hence the bells will toll together again after 120 seconds

As 120 seconds = 2 minutes

Therefore, the time at which they will toll together again is calculated to be 11:02.

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Given the quadrilateral with the following vertices a(-2,3) b(-2,6) c(-6,-1) and d (-6,2). is the quadrilateral a parallelogram?

Answers

The quadrilateral is a parallelogram.

Properties of parallelogram,

a>The opposite sides of the parallelogram are equal and parallel.

b>parallel lines have an equal slope.

Let now find the length of the opposite side of the parallelogram

To find the length we have ,

            [tex]\sqrt{(x_{2} ^{2} -x_{1} ^{2} ) +(y_{2} ^{2}-y_{1} ^{2} )}[/tex]


(-2, 3) , (-2, 6)

Slope = 6-3/ -2+2 = infinity

Length L1 = [tex]\sqrt{(-2 + 2)^{2} + (6 - 3)^{2} }[/tex]

                = 9

(-6, -1), (-6, 2)

Slope = 2+1/ -6 + 6 = infinity

Length L2 = [tex]\sqrt{(-6 + 6)^{2} + ( 2 + 1)^{2} }[/tex]

                = 9

Therefore the given vertices are of a parallelogram, as the  length and slope are equal.

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The circle graph shows the most important problems for
the 14,054,077 high school teenagers in a country..
Without using a calculator, estimate the number of high
school teenagers for whom doing well in school is the
most important problem.
Most Important Problems for High School Teenagers
Doing Wel in School, 12%
Social Pressures and Fitting in, 22%
Drugs, 22%
Others, 29%
Getting along with Parents. 2%
Geting into College, 2%
Sexual Issues, 2%
Crime and Violence in School, 9%
Doing well in school is the most important problem for approximately how many of the high school teenagers?
OA. 4,200,000
OB. 1,400,000
LOC. 2,800,000
OD. 5,600,000

Answers

According to the circle graph, doing well in school is a problem that affects B. 1,400,000 high school teenagers.

Which high school students are affected?

The circle graph shows that 12% of high school students have the problem of doing well in school.

In actual numbers, this is:

= 12% x number of high school teenagers

Solving gives:
= 12%  x 14,054,077

=  1,686,489 students

= 1,400,000 approximate

In conclusion, option B is correct.

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b. For mixing a spray to kill weeds, Howard is to
use 2 1/2 tablespoons for each gallon of water.
How many tablespoons of the spray will he
need to use for 5 gallons of water.

Answers

The 12.5  tablespoons of the spray will he need to use for 5 gallons of water.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

For mixing a spray to kill weeds, Howard is to use 2 1/2 tablespoons for each gallon of water.

We have to find How many tablespoons of the spray will he need to use for 5 gallons of water..

According to given question we have

2 1/2 =5/2 tablespoons for each gallon of water.

5/2 tablespoons =1 gallon of water.

1 gallon of water=5/2 tablespoons

5 gallons of water=5/2*5 tablespoons

5 gallons of water=25/2 tablespoons=12.5  tablespoons

Therefore, the 12.5  tablespoons of the spray will he need to use for 5 gallons of water.

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pls help 6x+15=6(x-3) pls help with answer and explaining

Answers

Answer:

-33

Step-by-step explanation:

distribute;

6x + 15 = 6x - 18

subtract;

-15

simplify;

- 33

subtract from both sides;

-6

total;

-33

Answer:Answer is 0=-33

Step-by-step explanation:What you need to do is bring x by itself on one side and the other numbers on the other side The steps are

6x+15=6x-18

6x-6x=-18-15

0=-33

                         

what is 15/24 x 4 2/3

Answers

the answer would be 2.916666666666

Please help me someone

Answers

Answer:

See the table below
For n, the answer is 2n+1

Step-by-step explanation:

The number of trees in each figure represents an arithmetic sequence where the difference between subsequent figures is 2  (caled the common difference)

So the sequence is

Figure(n)    Number of Trees

1                  3
2                 5  
3                 7
4                 9  (7+2)
5                11   (9+2)

n                 2n + 1

In general, for any arithmetic sequence we can write an equation for the nth term as [tex]a_n = a_0 + d(n-1)[/tex] where [tex]a_0[/tex] is the first term and d is the common difference

So for this example, we have [tex]a_0 = 3[/tex] and d=2 giving
[tex]a_n = 3 + 2(n-1) = 3 + 2n -2 = 2n + 1[/tex]

This is

Make x The Subject Of The Formula-
tx/q =y

HELP GUYS :((

Answers

Answer:

x = [tex]\frac{qy}{t}[/tex]

Step-by-step explanation:

[tex]\frac{tx}{q}[/tex] = y ( multiply both sides by q to clear the fraction )

tx = qy ( isolate x by dividing both sides by t )

x = [tex]\frac{qy}{t}[/tex]

Write down the equations for the lines whose graphs are depicted below.

Answers

The equation for the lines whose graph is depicted below is y = x/2.

How to write the equations for the lines?

In order to write the equations for these straight lines, we would have to determine the slope of the straight lines.

How to calculate the slope of a line?

Mathematically, the slope of any straight line can be calculated by using this formula;

[tex]Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

From the graph (see attachment), we have the following data:

Points on x-axis = (0, 2).

Points on y-axis = (0, 1).

Substituting the given points into the formula, we have;

Slope, m = (1 - 0)/2 - 0)

Slope, m = 1/2.

Mathematically, the standard form of the equation of a straight line is given by;

y - y₁ = m(x - x₁)

At point (2, 1), we have:

y - 1 = 1/2(x - 2)

y - 1 = x/2 - 1

y = x/2 - 1 + 1

y = x/2.

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each 14 pound of potting soil contains 316 cups of water.how many cups of water are contained in 1 pound of potting soil?34 cups3 over 4, cups1116 cups1 and 1 over 16, cups112 cups1 and 1 half, cups113 cups

Answers

The number of cups of water contained in 1 pound of potting soil will be 3 / 4. The correct option is A.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that each 14-pound of potting soil contains 3/6 cups of water. The number of the cups will be calculated by forming an expression below:-

Number of cups = (4 x 3/6)

Number of cups = 12/16  

Number of cups = 3/4 of a cup

Therefore, the number of cups of water contained in 1 pound of potting soil will be 3 / 4. The correct option is A.

The correct question is given below:-

Each 14-pound of potting soil contains 316 cups of water.

How many cups of water are contained in 1 pound of potting soil?

34 cups

1116 cups

112 cups

113 cups

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A probability distribution showing the probability of x successes in n trials, where the probability of success does not change from trial to trial, is termed a.

Answers

For a continuous distribution, the uniform distribution describes equal probability over a specific range. It is crucial as a reference distribution because of this. The creation of random numbers is one of the uniform distribution's most significant uses.

A particular probability distribution is called a binomial distribution. It is used to simulate the likelihood of getting one of two results out of a certain number of trials (N) of a discrete random event.

The expected outcome is referred to as a success in a binomial distribution, whereas any other event is referred to as a failure. A successful outcome has a probability of p, while a failure has a chance of 1 - p.

In n draws without replacement from a finite population of size N that contains exactly K objects with that feature, the hypergeometric distribution, a discrete probability distribution, describes the likelihood of k successes (random draws for which the drawn object has a specified feature), where each draw is either successful or unsuccessful. The binomial distribution, on the other hand, describes the likelihood of k successes in n draws with replacement.

The normal distribution sometimes referred to as the Gaussian distribution, is a probability distribution that is symmetric about the mean and demonstrates that data that are closer to the mean are more likely to occur than data that are farther from the mean. The normal distribution is depicted graphically as a "bell curve."

The correct option is (b) binomial probability distribution.

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Write the expression
(−7)⋅(−7)⋅5⋅5⋅5⋅5
using exponents.

Answers

Answer:

-7²·5⁴

Step-by-step explanation:

there are two 7

and four 5

This week felicia will practice with her band for 112 hours on monday,134 hours on tuesday, and 2 hours on wednesday. next week felicia will practice with her band for the same number of hours on monday, tuesday, and wednesday. what is the total number of hours felicia will practice with her band over these 6 days?

Answers

Felicia will practice for a total of 496 hours

How to calculate the total number of hours spent ?

Felicia will practice for 112 hours on Monday

She will practice for 134 hours on Tuesday

She will practice for 2 hours on Wednesday

Total number of hours spent in week 1= 112 + 134 + 2

= 248 hours

She did the same routine the following week

= 248 × 2

= 496

Hence Felicia will practice for a total of 496 hours for the 6 days

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PLEASE HELP!!! An equation in slope intercept form of the line that passes through the points (-3, 5)
and (2, 15) is

Answers

Answer:

y = 2x + 11

Step-by-step explanation:

To find the slope, use the equation (y2 - y1)/ (x2 - x1). You get (15 - 5)/(2 - (-3), or 2. Then, use the slope you just found in the equation y - y1 = slope (x - x1), or y - 15 = 2 (x - 2). Simplifying down you get y = 2x -4 + 15, or y = 2x + 11, which is your final answer.

Hope this helps! Let me know if you have any confusion!

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