Determine whether the values in the table represent a direct variation. If yes, write an equation to represent the relationship.

Answer:

Step-by-step explanation:

1) a) equations: 3x+21 and 6x -60

b) value of x: 3x+ 21=6x-60  ( set them equal to each other because they are equal, then solve)

3x+21=6x-60

-3x=-81

x= 27

c) replace 27 in both equations to find the angle measure.

3(27)+21= 102

6(27)-60= 102

2) a) equations: 12x-18 and 8x+10

b) value of x:   12x-18=8x+10( set them equal to each other because they are equal, then solve)

12x-18=8x+10

4x=28

x= 7

c) replace 7 in both equations to find angle measure.

12(7) -18 = 66

8(7)+10= 66

angle measure: 66

3) a) equations: 7x+9 and 5x+3

b) value of x: to find value of x here, first know that the these two equations will add up to 180. So, set them up to be equal to 180.

7x+9+5x+3=180

Then solve.

12x+ 12=180

12x=168

x=14

c) angle measure: replace the 14 in the x of the two equations.

7(14) +9 = 107

5(14) +3= 73

add the two angle measure together to see if they add up to 180.

107 + 73 = 180 correct! :D

Step-by-step explanation:

question 1) equal angels

8+19)=(9x+9)

x=10°

8x+19=99°

question 2) equal angels

(3x-26)=2x

x=26°

3x-26= 52°

question 3) different angels

180-(x+10) = x+50

180-x-10=x+50

170-x=x+50

2x=120

x= 60°

x+10= 70°

x+50=120°

question 4) equal angels

3x-31=x+59

2x=90

x=45°

x+59=104°

question 5) equal angels

6x+3=7x-12

x=15°

6x+3=93°

Answer:

Quadrant 3

Hope that helps!

Answer:

Quadrant 3  :)

Answer: b

Step-by-step explanation: because there were only four friends

Answer:

Simplifying

y = 2x2 + 20x + 52

Reorder the terms:

y = 52 + 20x + 2x2

Solving

y = 52 + 20x + 2x2

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying

y = 52 + 20x + 2x2

Hope it helps =D

Answer:

Onions- $1.20

Potatoes- $1.44

Step-by-step explanation:

.32p+.48n=

.32(4.5)+.48(2.5)=

1.44+1.2=264

Answer:

D   3.7%

Step-by-step explanation:

Answer:

$181.35

Step-by-step explanation:

Admission: $32.85

Adults: 35.85 x 2 = $71.70

Children: 25.60 x 3 = $76.80

Add it all together

$181.35

Answer: 12 years older

Step-by-step explanation:

Answer: As "x" increases "y" *decreases*

y as a function of x is not *constant*

Therefore the function is *nonlinear*

For all values of x, the function value y *≥* 0.

The y intercept of the graph is *8*

x=1 function value of y is *5*

The given function is an exponential function and its qualities are explained below.

The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. f(x) = bx is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.

As we can observe in the graph.

The illustration below shows the graph of y as a function of x.

Complete the following sentences based on the graph of the function.

- As x increases, y decreases.

- The rate of change for y as a function of x is not constant, therefore the function is nonlinear.

- For all values of x, the function value y > 0.

- The y-intercept of the graph is the function value y = 8.

- When x = 1, the function value y = 5.

Learn more about logarithmic functions here:

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Answer: oooo i know this one its 4 hopefully i helped

Step-by-step explanation:

Answer:

option c. 21+3=y+11

............

Answer:

6 secs

Step-by-step explanation:

Answer:

The answer is 30 minutes which is 1800 seconds

Step-by-step explanation:

1800

Answer:

Brainilist Lost all of mine     you have26?

Step-by-step explanation:

Answer:

17.5 millimeters

Step-by-step explanation:

i think

Answer:

She described a proportional relationship because for each X value there is a Y value, So if X marks 1, you add 1 to Y, being the starting value of Y 2

For the table prepared by the Mike, he has "not" described a proportional relationship.

Equivalence between two ratios in algebra is called proportionality. A and B are in the same ratio as C and D in the formula a/b = c/d.

Table prepared by Mike is,

X Y

0 2

3 5

6 8

The ratio of the y-to-x value differential between two locations, as seen on a two-dimensional plane.

[tex]\frac{5-2}{3-0} =\frac{8-5}{6-3} =\frac{8-2}{6-0} =1[/tex]

Since, the slope is the same, the relationship is linear.

The function is said to be linear if we plot these points on a line and obtain a straight line. If this line passes through point (0,0), the connection will be proportional.

Equation of line passing through two points is obtained by,

=> y-b = m(x-a)

Consider point (0,2)

=> y-2 = 1×(x-0)

As, y = x+2, is equation of linear function.

LHS, at ,(0,0) = 0

RHS at (0,0 )= 0+2=2

LHS≠RHS

Therefore, even though the supplied points add up to a linear function, there is no proportional relationship.

To know more about, two dimensional figures, here

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Answer:

hours 1 and 2

Step-by-step explanation:

PLEASE GIVE BRAINLYIEST

Answer:

B. Square

Step-by-step explanation:

Cross-section means the shape in the middle of the main given shape. Which is a square shape in this case. A square has four sides and each side is 90 degrees.

Answer:

just woke and interesting

Answer:

awwwwwzz it's so cute and nice<3<3<3<3<3<3

Step-by-step explanation:

my days going pretty good hbu?

Answer:

16,000 people

Step-by-step explanation:

Let's write a ratio

8,000:20,000

Let's write another ratio

x:40,000

We can write a percent proportion.

[tex]\frac{8,000}{20,000} =\frac{x}{40,000}[/tex]

We can see that the relationship between the denominators is multiplied by 2 so that means the relationship between 8,000 and x is x is 2 times greater than 8,000

Let me know if you have any questions.

Answer:

16000

Step-by-step explanation:

Answer

x < 9

Step-by-step explanation:

term , will be moved to the right side.

Notice that a term changes sign when it 'moves' from one side of the inequality to the other.

I'll do problem 1 to get you started.

The answer to problem 1 is 3400 miles

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

Explanation for problem 1:

We're asked to find the perimeter, which is the total distance around the exterior or outside. In other words, we need to add up the four side lengths of this quadrilateral.

We'll need the distance formula to find the lengths of the slanted sides AB and BC

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

Let's first find the length of segment AB

A = (x1,y1) = (0,0)

B = (x2,y2) = (400,300)

d = Length of AB

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-400)^2 + (0-300)^2}\\\\d = \sqrt{(-400)^2 + (-300)^2}\\\\d = \sqrt{160000 + 90000}\\\\d = \sqrt{250000}\\\\d = 500\\\\[/tex]

The distance from A to B is 500 miles. This is the same as saying segment AB is 500 miles long.

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

Now find the length of segment BC

B = (x1,y1) = (400,300)

C = (x2,y2) = (-800,800)

d = length of BC

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(400-(-800))^2 + (300-800)^2}\\\\d = \sqrt{(400+800)^2 + (300-800)^2}\\\\d = \sqrt{(1200)^2 + (-500)^2}\\\\d = \sqrt{1440000 + 250000}\\\\d = \sqrt{1690000}\\\\d = 1300\\\\[/tex]

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

The length of CD is fairly easy to find without needing the distance formula. This is because it is a vertical line. We subtract the y coordinates of C and D to get 800-0 = 800. So CD is 800 miles long.

Segment DA is a similar story. But we subtract the x coordinates. This only works for horizontal lines. DA is 800 miles long because |-800-0| = 800. Absolute value is used to make sure the distance is never negative.

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

To summarize everything so far, we found these four side lengths

The perimeter is going to be the sum of those four sides, leading to...

perimeter = sum of sides

perimeter = AB+BC+CD+DA

perimeter = 500+1300+800+800

perimeter = 3400 miles

This is the total distance traveled if you started at city A, went to B, then to C, then to D, and then finally went back to A.

Answer:

The total distance is 3400 miles

Step-by-step explanation:

Given the following points:

​A(0,0)

B(400,300)

C(−800,800)

D(−800,0)

​

we can find the distance between each of them using the following equation:

d(X,Y)=

√(x2

−x1

)2

+(y2

−y1

)

2

in this case, we only need to find the distance from A to B and from B to C:

​d(A,B)=

√(400−0)2

+(300−0)2

=

√160000+90000

=

√250000

=500

d(B,C)=

√(−800−400)2

+(800−300)2

=

√1440000+250000

=

√1690000

=1300

​

next, notice that the distance from C to D and from D to A are on lines parallel to the x-axis and the y-axis, then, we can see that the distances are the follwing:

​d(C,D)=800

d(D,A)=800

​

then, the total distance traveled will be the perimeter of the polygon, Thus, adding the distances we have:

​P=d(A,B)+d(B,C)+d(C,D)+d(D,A)=500+1300+800+800

=3400

⇒P=3400miles