Does this table show a proportional relationship? If so, what is the constant of proportionality.

Answer:

you have to get rid of the numbers and then get rid of the letters until only s is left

Step-by-step explanation:

4s - 13= 51

51+13= 64

4s= 64

64÷4 = 16

s= 16

Answer:

Each diagonal should measure 34 feet to ensure that the sides form 90°

Step-by-step explanation:

The relation between the diagonal of the rectangle and its length and width is D = [tex]\sqrt{L^{2}+W^{2}}[/tex] ⇒ Pythagoras Theorem

∵ A builder is building a rectangular deck with dimensions of 16 feet

   by  30 feet

∴ L = 16 feet

∴ W = 30 feet

→ By using the Pythagoras Theorem above to find its diagonal

∵ D = [tex]\sqrt{(16)^{2}+(30)^{2}}[/tex]

∴ D = [tex]\sqrt{256+900}[/tex]

∴ D = [tex]\sqrt{1156}[/tex]

∴ D = 34 feet

→ The diagonals of the rectangle are equal

∴ The length of each diagonal of the rectangle = 34 feet

Each diagonal should measure 34 feet to ensure that the sides form 90°

Answer:

Hello. y=1/2x-2

Step-by-step explanation:

The line that is perpendicular to this line ،its slope must be 1/2

So:

[tex]y - y0 = m(x - x0) \\ y - 2 = \frac{1}{2} (x - 8) \\ y = \frac{1}{2} x - 2[/tex]

9514 1404 393

Answer:

  SSS

Step-by-step explanation:

Two sides are marked congruent and the third side is shared. It is congruent to itself.

Hence, all three sides are congruent, and you can invoke the SSS congruence postulate to say the triangles are congruent.

Answer:

I think the correct answer is A

Step-by-step explanation:

becoz an isosceles triangle has both angles equal and also the hypotenuse is the same

Answer:

because they all have 3 corners

Answer:

Rate of change = 6 miles per hour

Step-by-step explanation:

Rate of change of the line is represented by the slope of the line.

Formula to get the rate of change is,

m = [tex]\frac{\triangle y}{\triangle x}[/tex]

From the graph attached,

Given straight line is passing through two points (2, 12) and (4, 24).

Rate of change = [tex]\frac{y_2-y_2}{x_2-x_1}[/tex]

                          = [tex]\frac{24-12}{4-2}[/tex]

                          = 6

Rate of change of the line = 6 miles per hour

Therefore, rate of change of the graph will define the speed of Arlene.

Answer: The answers are x+20 and 0.50 hrs

I just took the test so ik these are right

The total time it takes Megan to get to work,

⇒ (8 / x) + (21 / y)

where, x is her average driving speed in miles/hour. 2

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10

Given that:

Average driving speed = x mph

Miles driven to work = 8 mile

Miles by train to work = 21 miles

Average train speed = y

Hence, Total time taken to get to work is,

We know that;

⇒ Time taken = distance / speed

Hence,

⇒ Time taken = total distance / average driving speed

⇒ Total time taken = (8 / x) + (21 / y) hours

⇒ Total time taken = (8 / x) + (21 / y) hours

Learn more about the divide visit:

brainly.com/question/28119824

#SPJ5

Answer:

The answer is B, points B and C

Answer:

sorry dont know the answer

Step-by-step explanation:

Answer:

25 degrees

Step-by-step explanation:

angle ABC is supplementary to angle CBD

you'd do x + 155 = 180, x being the measure of angle ABC

it isn't 77.5 since 77.5+155 is not 180

Answer:

[tex]m=\frac{4}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Pick any 2 points from the chart.

Point (-5, -7)

Point (0, -3)

Step 2: Find slope m

Answer:

D

Step-by-step explanation:

general equation of point slope is

(y-y1)=m(x-x1) where

m-is the slope

(x1,x2) is any point that belongs to the line

For (-7,1) and (-3, 9) you have to

first find the slope

m= (y2-y1) /(x2-x1) = (9-1)/ (-3- -7)= 8/(-3+7) = 8/4 =2

second pick any of your 2 given points for example (-3, 9)

now you substitute m=2, and (-3,9) in your general equation

(y-9) = 2( x- -3) so the equation is (x-9) =2(x+3)

Answer:

[tex]a1 = - 2 \\ d = - 4 - - 2 = - 4 + 2 = - 2 \\ a35 = a1 + 34d \\ a35 = - 2 + 34 \times - 2 \\ a35= - 2 + - 68 \\ a35 = - 70 \\ thank \: you[/tex]

Answer:

quotient = 995

remainder = 3

Step-by-step explanation:

Answer:

e is a function; f is not a function

Step-by-step explanation:

All functions must pass the vertical line test. this means that the when those points are plotted, no two points are on the same vertical line. You can tell if they are on the same vertical line by their x-coordinate. If two points have the same x-coordinate, then they are on the same vertical line. This means that the if two points have the same x-coordinate in the relationship, it is not a function. In e, the x-coordinates are 0, 4, 8, and 3. In f, the x-coordinates are 0, 4, 0, and 6. In e, all the x-coordinates are different, so it is a function. In f, however, 0 is a repeated x-coordinate, so it is not a function.

Answer:

c

Step-by-step explanation:

Answer:

[tex]\displaystyle y<-\frac{1}{5}x+1[/tex]

Step-by-step explanation:

Graph of an inequality

The graph represented in the image is a line and we have two clear points through which the line passes.

Those points are (0,1) and (5,0).

The equation of a line can have the slope-intercept form:

y=mx+b

Substituting the point (0,1):

1=0+b

b=1

Substituting the point (5,0):

0=m(5)+1

Solving for m:

[tex]\displaystyle m=-\frac{1}{5}[/tex]

The equation of the line is:

[tex]\displaystyle y=-\frac{1}{5}x+1[/tex]

The origin belongs to the solution if we substitute (0,0) the inequality should stand:

0<1

Or:

0≤1

Since the line is dashed, the boundary line is not part of the solution

Thus the inequality is:

[tex]\boxed{\displaystyle y<-\frac{1}{5}x+1}[/tex]

Option D.

Answer:

it's A

Step-by-step explanation:

is a positive correlation

Answer:

15 boys

Step-by-step explanation:

Whatever number one side of the ratio is multiplied by, the other side has to be multiplied by that same number. So, we have to find the number that 4 is multiplied by to get 20. We can represent this as an equation, where the unknown number is x:

4x = 20

Divide both sides of the equation by 4 to find the value of x:

x = 5

4 was multiplied by 5 to get 20.

To find the number of boys, multiply 3 by 5:

3 * 5 = 15

If there are 20 girls, there will be 15 boys.

Answer: Choice B.

ln(3) + ln(4) + ln(5) + ln(6)

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

Explanation:

Refer to the diagram below. It shows four rectangles each of base 1. Their height varies depending on the output of the natural log function.

More specifically the heights are ln(3), ln(4), ln(5) and ln(6) from left to right. Note how this corresponds exactly to the points on the y = ln(x) curve such that they are the upper right corners of the Riemann Sum rectangles. These corner points are points A,B,C,D.

Since each base is 1 unit wide, this means each rectangle's area is equal to the height. More thoroughly, we say that

area = base*height = 1*f(x) = f(x), where x takes on the values from {3,4,5,6}

Side note: As the diagram shows, we have an overestimate of the actual area under the curve from x = 2 to x = 5.

Answer:

1.007, 1.07, 1.7

Step-by-step explanation:

Answer:

1.7,  1.07,  1.007

Step-by-step explanation:

A tenth is greater than a hundredth or a thousandth. A hundredth is greater than a thousandth, and a thousandth is less than both a hundredth and tenth