draw the graph of y=2x+3 on the grid

The sum of the two interior angles of the regular pentagon will be 540°

A polygon is a plane figure described by a finite number of straight-line segments connected to form a closed polygonal chain in geometry. A polygon is defined as a bounded plane region, a bounding circuit, or both.

We can also calculate the sum of the interior angles of the pentagon in the following way:

We know that the sum of the interior angles of a polygon of n sides

Sum = (n – 2) × 180°.

Sum = 3× 180°= 540°.

Hence, the sum of the interior angles of a pentagon is 540°.

To know more about polygons follow

https://brainly.com/question/11943627

#SPJ2

Answer:

the vertex of this parabola is at (5/2, 47/4)

Step-by-step explanation:

Y=x^2+5x-7 is written in 'standard form' for a quadratic.  Comparing this to

y = ax^2 + 5x - 7, we see that a = 1 and b = 5.  

                                                                                          -b

The formula for the x-coordinate of the vertex is x = --------

                                                               5                         2a

which in this case has the value x = ------- = 5/2

                                                             2(1)

Now use the quadratic formula to find the y-value of the vertex:

y = (5/2)^2 + 5(5/2) - 7, or

y  =  25/4 + 25/2 - 7, or

y  = 11.75 or 11 3/4

Thus the vertex of this parabola is at (5/2, 47/4)

Answer:

the value of h in the diagram is I hope hight

Answer:

Slope: 16

y-intercept: (0, 0)

Yes it is proportional

Step-by-step explanation:

To find the slope we can do rise over run.

 192 - 96           96

----------------- = ----------- = 16

    12 - 6              6

So the slope is 16

For the y intercept we can just look where the line crosses the y-line so (0, 0)

We can check that by inputing some numbers:

y = mx + b -------> 96 = 6 · 16 + b

                            96 = 96 + b

                            - 96     - 96

                               0 = b

in this equation b represents the y-intercept

And the definition of a proportional slope is if the equation is y = mx, which in this case it is true, as the equation is y = 16x. (m is the slope which we've already found above)

So evidently the slope is proportional.

Answer:

a = 0.5

b = 6

ab - b

= 0.5 × 6 - 6

= 3 - 6

= -3

Hope it helps:)

Answer:

50%

Step-by-step explanation:

If the distrubution is normal

and mean is the average score

that means that half of them should be equal to or below the mean

and the other half is equal to or above the mean

The scuba driver descends at a maximum rate of r ≤ -13.84

A linear equation is in the form:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Let r represent the maximum rate. Given an initial depth of 13.6 feet below sea level.

The scuba diver descends at a constant rate for 2 1/2 minutes and reaches a depth no more than 48.2 feet below sea level. This can be represented as:

2.5r - 13.6 ≤ -48.2

2.5r ≤ - 34.6

r ≤ -13.84

Hence the scuba driver descends at a maximum rate of r ≤ -13.84

Find out more at: https://brainly.com/question/13911928

Answer: −2.4≤−2.40

Step-by-step explanation:

Tough one.  I judge −2.4 ≤−2.40 to be the correct answer.  The difference in significant digits only tells us we don't know for certain that they are equal.  But 2.4 MAY be equal, or less than 2.40.  None of the others options allows for the fact that they may be equal.

Answer:

-3

remember, slope is rise over run. It's negative because the line is declining.

Answer:

0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144. Its a square number

Step-by-step explanation:

Hope this helps! Please mark brainliest if it did, it means a lot of proogression to me and thanks! <3

Answer:

Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.

Step-by-step explanation:

Answer:

give you up desert you

Step-by-step explanation:

give you up desert you

Answer:

NEVER GONNA GIVE YOU UP

AROUND AND DESERT YOU

Extra for fun: NEVER GONNA LET YOU CRY NEVER GONNA SAY GOODBYE (i think)

Step-by-step explanation:

Just is correct trust me exept the extra extra im not fully sure

Answer:

0.0132y :DDDDDDDDDD

Answer:

You know that a cosine graph is a sine graph moved to the left by pi/2, therefore, like a linear equation, you need to make the cosine graph 3 times less width.

Step-by-step explanation:

Answer:

It is proportional. They are all multiplied by three. (9*3=27)

Step-by-step explanation:

Answer:

x ≥ 1

Step-by-step explanation:

→ As it is a shaded circle you know it ≤ or ≥

x ≥ 1

Answers:

================================================

Explanation:

The angles with the similar arc markers are congruent angles. This is only when we consider any particular triangle isolated from the others.

Since we have 2 congruent angles, the triangles are considered isosceles. The congruent sides are opposite the congruent angles.

So we'll set the congruent side expressions equal to one another and solve for x. We ignore the side that isn't opposite one of the congruent angles. This applies to all four problems.

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

Work Shown for Problem 6:

3x = x+10

3x-x = 10

2x = 10

x = 10/2

x = 5

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

Work Shown for Problem 7:

x = 10-x

x+x = 10

2x = 10

x = 10/2

x = 5

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

Work Shown for Problem 8:

4x-12 = x

4x-x = 12

3x = 12

x = 12/3

x = 4

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

Work Shown for Problem 9:

2(x+3) = 18

2x+6 = 18

2x = 18-6

2x = 12

x = 12/2

x = 6

Or you can solve it like this

2(x+3) = 18

x+3 = 18/2

x+3 = 9

x = 9-3

x = 6

The solution to the logarithmic equation [tex]\mathbf{log_2(x-6) = 4}[/tex] is x =24

The logarithmic equation is given as:

[tex]\mathbf{log_2(x-6) = 4}[/tex]

Apply exponential law of logarithm

[tex]\mathbf{(x-6) = 2^4}[/tex]

Remove the brackets

[tex]\mathbf{x-6 = 2^4}[/tex]

Add 6 to both sides

[tex]\mathbf{x-6 +6= 6+ 2^4}[/tex]

Express 2^4 as 16

[tex]\mathbf{x-6 +6= 6+ 16}[/tex]

Add -6 and 6

[tex]\mathbf{x= 6+ 16}[/tex]

Add 6 and 16

[tex]\mathbf{x= 24}[/tex]

Hence, the solution to the logarithmic equation [tex]\mathbf{log_2(x-6) = 4}[/tex] is x =24

Read more about logarithmic equation at:

https://brainly.com/question/3181916

Answer:

sorry i was dared to sooooooo yayyyyyyyyyyyyyy

Answer:

Step-by-step explanation:

Perimeter = 5x + 10 + 5x + 10 + 5x + 8

= 15x + 28...ans

Answer: 2584

Step-by-step explanation:

We can find N with 2584 and 4181.

4181 - 2584

= 1597

We can also check our answer by adding 1597 and 987

1597 + 987

= 2584

A sequence can be arithmetic, geometric or neither.

The value of N is 1597

The partial sequence is given as:

.... 987, N, 2584, 4181......

From the question, the current term is the sum of two previous terms.

This means that:

[tex]\mathbf{987 + N = 2584}[/tex] and

[tex]\mathbf{N + 2584 = 4181}[/tex]

Make N the subject in both equations

[tex]\mathbf{N = 2584 - 987}[/tex]

and

[tex]\mathbf{N = 4181 - 2584 }[/tex]

So, we have:

[tex]\mathbf{N = 1597}[/tex]

and

[tex]\mathbf{N = 1597}[/tex]

Hence, the value of N is 1597

Read more about partial sequence at:

https://brainly.com/question/12914852

Answer:

x = 79

y = 12

Step-by-step explanation:

x + y = 91

x - y = 67

=> x = (91 + 67) : 2 = 79

=> y = (91 - 67) : 2 = 12

P/s: I don't know how to explain what I just did actually, since we learn how to solve this kind of problem in primary at my place already so it's like a blurry memory about how I learn it. If the math problem is to find 2 numbers, knowing their sum and the difference already, this is how to solve it:

=> Larger number: (Sum + difference) : 2

=> Smaller number: (Sum - difference) : 2

If you can memorize it, good for you! If not then it's alright, this is just a nice tips from me to you. You'll have more advantages in solving these kind of math problem if you can memorized these 2 formulas.

Answer:

Step-by-step explanation:

5

According to the point estimate, the population mean difference in the number of concerts attended by freshmen vs seniors is 0.02.

The difference in sample means is a point estimate for the difference in population means.

Data were collected from a random sample of STA 2023 students in the spring of 2017 in order to answer the question. One of the questions they were asked was how many concerts they had gone to in the previous six months. The sample mean was 2.31, with a sample standard deviation of 2.32 for the 39 upperclassmen who were chosen at random. The sample mean was 2.29, and the sample standard deviation was 2.64 for the 35 randomly selected underclassmen.

The point estimate of the population mean difference in the number of concerts attended by underclassmen versus upperclassmen has been requested.

The difference between the sample means is a point estimate for the difference between the two population means, as we already know.

Upperclassmen sample mean - underclassmen sample mean = point estimate,

Alternatively, 2.31 - 2.29 = 0.02 is a point estimate.

The population mean difference in the number of concerts attended by underclassmen against upperclassmen is 0.02 according to the point estimate.

Find out more about point estimates at

brainly.com/question/14000344

#SPJ2

Step-by-step explanation:

if you are given an equation of a form y=kx+b, k is gradient and b is y-intercept

in c you can write this equation as y=(2x/3)-2,so gradient = 2/3 and y-intercept =-2

in e:6y=2x+3

y=x/3+1/2,gradient = 1/3, y-intercept=1/2

The gradient or Slope in a linear equation is simply the value "a" in this equation : y = ax + b

And the y-intercept is simply the value b.

so for example, what is the slope of y = 5x + 3 ? What is the y-intercept ? Well the gradient (or slope) is 5, and the y-intercept is 3.

So, for a.

y = -1/2x + 8

it's pretty simple : gradient = -1/2

y intercept = 8

Now for c.

[tex]y=\frac{2x-6}{3}[/tex]

[tex]y=\frac{2}{3}x-\frac{6}{3}[/tex]

[tex]y=\frac{2}{3}x-2[/tex]

So the gradient is 2/3 and the y intercept is -2 (and not +2, be careful there is a negative sign :) )

e.

-2x + 6y - 3 = 0

6y = 2x + 3

y = (2/6)*x + (3/6)

y = (1/3)*x + (1/2)

so the gradient is 1/3

and the y-intercept is 1/2

Good luck, your the best :)

Answer:

0

Step-by-step explanation:

Equation of the line

(5 15) and (10 20)

Slope of the line is m =(20-15)/10-5 =5/5 =1

The line passes through (5 15)

Y-15=1(x--5)

x-y= --10

The equation of the line is

x-y+10=0

6:15 to 7:45 is 1 hour and 30 minutes.

Dividing 1 hour and 30 minutes by 15 minute intervals equals 6

They rang the bell 6 times

Answer:

y = 10-2x

Step-by-step explanation:

2x+y=10

y=10-2x

[tex]\huge\underline\mathtt\colorbox{cyan}{2/3x+y+3=0}[/tex]

Answer: 8:05

Step-by-step explanation:

Answer: 8:05

Step-by-step explanation: