This graph displays a linear function. Interpret the constant rate of change of the relationship.

Rate of change =

Answer:

(9, -15)

Step-by-step explanation:

First, label the 2 equations:

-10x -6y= 0 -----(1)

-4x -6y= 54 -----(2)

(2) -(1):

(-4x -6y) -(-10x-6y)= 54 -0

-4x -6y -(-10x) -(-6y)= 54 (expand, simplify)

-4x -6y +10x +6y= 54 (expand)

10x -4x= 54 (simplify)

6x= 54

x=54 ÷6

x= 9

susbt. x=9 into (1):

-10(9) -6y=0 (subst. x=9 into -10x-6y=0)

-90= 6y (bring y term to the other side)

6y= -90

y= -90 ÷6

y= -15

Thus, the solution is (9, -15).

The value of X is 9.

The value of y is -15.

Look at the attached picture

Hope it will help you

Good luck on your assignment

We have been given that a Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0).

We are asked to find the position of ball after 6 seconds.

We will use horizontal position and vertical position formula to solve our given problem.

Horizontal position is given by formula: [tex]x=v\cdot \text{cos}(\theta)\cdot t[/tex] and vertical position is given by formula: [tex]y=v\cdot \text{sin}(\theta)\cdot t[/tex],where,

v = Velocity,

t = Time,

[tex]\theta[/tex] = Angle to the starting line.

For our given problem [tex]v=1.6[/tex], [tex]t=6[/tex] and [tex]\theta=85^{\circ}[/tex].

[tex]x=1.8\cdot \text{cos}(85^{\circ})\cdot 6[/tex]

[tex]x=10.8 \cdot 0.087155742748[/tex]

[tex]x=0.9412820216784\approx 0.94[/tex]

[tex]y=1.8\cdot \text{sin}(85^{\circ})\cdot 6[/tex]

[tex]y=10.8\cdot 0.996194698092[/tex]

[tex]y=10.7589027\approx 10.76[/tex]

Therefore, the position of ball after 6 seconds would be [tex](0.94,10.76)[/tex].

Answer:

(0.8,9.6)

Step-by-step explanation:

x=1.6*cos85* 6=0.8

y=1.6*sin85 *6=9.6

Answer:

80

Step-by-step explanation:

the formula is base times height the height is 10 and the base is 8 so 10 times 8 equals 80

Answer:

625

Step-by-step explanation:

6250/50=125

125*5=625

Answer:

1. 3

2. 3

3. 15

Step-by-step explanation:

Answer:

Five less than 1/3 a number n is 3.

[tex]\frac{1}{3}n-5=3[/tex]

Four more than twice a number x (2x+4) is greater than (>) the sum of three and a negative seven (3-7)

2x+4>3+(-7)

2x+4>3-7

Answer:

C

Step-by-step explanation:

Answer:

[tex]\frac{y-2}{4}[/tex]

Step-by-step explanation:

Let's start by factoring everything:

[tex]\dfrac{\frac{y^2+y}{y^2-2y}}{\frac{4y+4}{y^2-4y+4}}=[/tex]

[tex]\dfrac{\frac{y(y+1)}{y(y-2)}}{\frac{4(y+1)}{(y-2)^2}}=[/tex]

Now, you can cancel out some terms:

[tex]\dfrac{\frac{y+1}{y-2}}{\frac{4(y+1)}{(y-2)^2}}=[/tex]

Now, when you divide a fraction by another fraction, that is the same as multiplying the first fraction by the reciprocal of the second one:

[tex]\frac{y+1}{y-2}\cdot \frac{(y-2)^2)}{4(y+1)}=[/tex]

[tex]\frac{y-2}{4}[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

6/20 Gallons

Answer:

[tex]\frac{3}{10}[/tex].

Step-by-step explanation:

To do this, we will need to subtract fractions.

[tex]\frac{15}{20}-\frac{9}{20}=\frac{6}{20} =\frac{3}{10}[/tex] (Simplified)

Answer:

15.8

Step-by-step explanation:

The formula would be V = Bh, the Base being LxW.

Since we already know the base and volume, we can substitute it into the formula.

306.52 = 19.4(h). Divide by 19.4, and you get 15.8 as your answer.

Hope that helps! Tell me if im worng, im only a student .m.

Answer:

157.08

pi x radius x radius x height/3

Step-by-step explanation:

Answer:

V≈157.08

Step-by-step explanation:

I used the formula for a cone:

V=πr2h/3 (h/3 as in a fraction)

We have been given image of circle that passes through point [tex](-7,-7)[/tex]. We are asked to find the radius of the circle.

First of all, we will find the center of the circle.

We can see that center of circle is at point [tex](-2,-1)[/tex].

Now we will use equation of circle to find radius.

[tex](x-h)^2+(y-k)^2=r^2[/tex], where, point (h,k) represents center of circle and r represents radius of circle.

Now we will substitute the coordinates of point [tex](-7,-7)[/tex] and coordinates of center [tex](-2,-1)[/tex] and solve for r as:

[tex](-7+2)^2+(-7+1)^2=r^2[/tex]

[tex](-5)^2+(-6)^2=r^2[/tex]

[tex]25+36=r^2[/tex]

[tex]61=r^2[/tex]

Switch sides:

[tex]r^2=61[/tex]

Now we will take positive square root on both sides:

[tex]\sqrt{r^2}=\sqrt{61}[/tex]

[tex]r=\sqrt{61}[/tex]

Therefore, radius of circle will be [tex]\sqrt{61}[/tex] and center is at point [tex](-2,-1)[/tex].

Answer:

A. Square

D.Rectangle

Answer:

A -5or5

Step-by-step explanation:

|n|=5

Absolute value means take the positive value of the number

|5|=5

|-5|=5

so positive 5 and -5

Answer:

y=-1/4x+ 2

Step-by-step explanation:

Answer:

the posbilities is an hour

Step-by-step explanation:

30  + 30 mins = 1 hour

Answer: [tex]1.2447 * 10^4[/tex]

Step-by-step explanation:

1.2447 × [tex]10^4[/tex]

( scientific notation )

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point.

Answer:

1.2447 x 10^4

Step-by-step explanation:

The answer would be 1.2447 times 10 to the fourth power because to find the first part (1.2447), move the decimal place one place to the right. (.12447-> 1.2447)

Next, count how many places are to the right of the decimal.

1.2447 = 4

So, that would get you 1.2447 times 10 to the power of 4.

Answer:there is no "net below"

Step-by-step explanation:

Answer:

7x-58

just add all the terms

Answer:

The square root of 10 is 3.16227766017

Step-by-step explanation:

Answer:

independent and 1/4

Step-by-step explanation:

it is independent because you replaced and that still kept the total outcomes.

1/2 times 1/2 which is 1/4

Answer:

14348907

Step-by-step explanation:

3^15 is it put in scientific notation.

Answer:

14348907

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

21/35 = x/100

x = 60

Answer:

m∠b = 23 degrees

Step-by-step explanation:

complementary angles are two angles that add up to 90 degrees so 90-67=23

Answer:

The 2nd and 4th (m<10)

Step-by-step explanation:

The symbol used is a less than sign, so the inequality is saying m is less than 10, and since Ken=m Ken has fewer marbles.

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

For this one (and others that are similar to this one) you can't have a portion of a box, therefore, you can eliminate all the other answers.

The smallest number of boxes she needs to pack all the eggs is 15.67,

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total Eggs = 94

Each box Hold= 6 eggs

So, number of boxes required to hold 94 eggs

= 94 / 6

= 15.66

Hence, smallest number of boxes she needs is 15.67

Learn more about Unitary Method here:

https://brainly.com/question/22056199

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Answer:

C is (-18, 24)

Scale factor --> 1 1/3

A is (9, - 4 1/2)  *4 1/2 is also 4.5

Brainliest please, I need a few more :D

The true statement are; The coordinates of C prime are (–18, 24). The scale factor is 1 1/3 . The coordinates of A are (9, –4.5).

Dilation of a figure will leave its sides get scaled (multiplied) by same number.

Thus, suppose if a rectangle is dilated, and its sides were of length = L and width = W, then its dilated version would be having length = Ln, and width = Wn where n is the factor of scaling.

At image B (-24, -12) and pre image B (-18, -9),

we can work out the scale factor by (-24/-18) and (-12/-9) both equal 4/3

Using the scale factor to go from the pre image to the image,

We can find C coordinate by pre image C by the scale factor.

C is (-13.5 x 4/3) and (18 x 4/3)

C is (-18, 24)

So, The scale factor is 4/3, which is the mixed numeral of 1 1/3.

To find the pre image of point A;

A is (12/(4/3)) and (-6/(4/3))

A is (9, - 4 1/2)

Hence, the true statement are;

The coordinates of C prime are (–18, 24).

The scale factor is 1 1/3 .

The coordinates of A are (9, –4.5).

Learn more about dilation here:

https://brainly.com/question/27212783

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