Given P(-3, 9), Q(8,-2), R(-8, 8), and S(0, y). Find y such that PQ || RS.
Answer: y

Answer:

yes

Step-by-step explanation:

The ratio of malts to the total ice creams is 3:10 .

Ratio is defined as the fraction which defines the relationship between two quantities .

Ratio is denoted by a:b such that it can also be written as a/b where a and b are co-prime. Ratio can also be denoted as a decimal but mostly it is represented as fraction in its lowest terms

Now the given ice cream shop has 14 shakes that are sold for every 6 malts.

Hence when 14 shakes are sold total number of ice cream sold is

14+6 = 20 .

Now we have to find the ratio of the malts to the total number of ice creams

∴ malts : ice creams = 6 : 20

Reducing to lowest terms we get :

ratio = 3:10

Hence the ratio of malts to total ice cream is 3:10

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426135 is the number in which the value of 2 is 10 times the value of 2 in 42780.

Given:

The number = 42,780

Here, the place value of 2 is 2000 or 2  thousand.

Let's check all the options for the right answer.

There is only one option with 2 in it.

That is option c 426135

We have given that, the value of 2 should be 10 times the value of 2 in 42780.

That is, 2000 x 10 = 20000.

The value of 2 in 426135 is 20000 or 2 ten thousand.

Thus, 426135 is the number in which the value of 2 is 10 times the value of 2 in  42,780.

Rest of the options are incorrect.

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The question is incorrect and the corrected question is given below.

The value of the digit 2 in the number 42,780 is 10 times the value of the digit 2 in which number?

The options are 34,651 or 146,703 or 426,135 or 510,400

The height of the tree is 15 feet if Scott is 6 feet tall and casts a shadow that is 8 feet long.

The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

It is given that:
Scott is 6 feet tall and casts a shadow that is 8 feet long. a nearby tree casts a show that is x+5 feet long

By using scale factor:

Let x be the height of the tree

x/6 = = (x + 5)/8

8x = 6(x + 5)

8x = 6x + 30

2x = 30

x = 15 feet

Thus, the height of the tree is 15 feet if Scott is 6 feet tall and casts a shadow that is 8 feet long.

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Answer:

-7/3 or -2.3

Step-by-step explanation:

1. y2-y1 divided by x2-x1 which would be y2-y1/x2-x1

2. plug in : -2-19/3-(-6)

4. Solution ( -7.3 or -2.3 )

Answer:

[tex]y = -\dfrac{7}{3}x +5[/tex]

Step-by-step explanation:

The general equation of a line in slope-intercept form is

y = mx + b

where m = slope and b = y-intercept is rise over run

[tex]m = \dfrac {(y_{2} - y_{1})} {(x_{2} - x_{1})}[/tex]

where (x₁, y₁) and (x₂, y₂) are any two points on the line

For the line passing through (-6, 19) and (3, -2) , the slope

[tex]m = \dfrac{-2 - 19}{3 - (-6)}\\\\[/tex]

[tex]\\\\m= \dfrac{-21}{9}[/tex]

[tex]m = -\dfrac{7}{3}[/tex]

So slope-intercept form is
[tex]y = -\dfrac{7}{3}x +b\\\\[/tex]

To compute y-intercept, b,  plug in any of the two points into the above equation and solve for b

Let's choose point (3, -2)

Plugging x = 3 and y = -2 gives

[tex]-2 = -\dfrac{7}{3}\cdot 3 +b\\\\\\\\-2 = -7 + b\\\\[/tex]

So equation of line is
[tex]y = -\dfrac{7}{3}x +5[/tex]

The graph of g(x) is gotten by translating the function f(x) = |x| down by 3 units to get to function g(x)

The equation of the function is given as; g(x) = |x| - 3

The above function is an absolute value function.

The parent function of an absolute value function is; f(x) = |x|

This means that the function f(x) is translated to get to function g(x)

In this case, the function is f(x) is translated down by 3 units to get to function g(x)

So, the graph of g(x) is gotten by translating the function f(x) = |x| down by 3 units to get to function g(x)

See attachment for the graph of g(x)

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Answer: its c

Step-by-step explanation:

plug in 0 to the equation and you get (0,3)

population at 1992 = 3590

Population after Seven years (1999) = 4500

Given two points (t1, P1) and (t2, P2), the slope of the line m can be found.

p1 = (1992, 3590) and p2 = (1999, 4500)

m= ΔP/Δt

m= ((4500-3590))/((1999-1992))

m = 910/7

m=130 is the slope

The linear population function P(t) is

P(t)=130t + P0

Find the Y-Intercept P0

The population function P(t) is measured since the year 1990, year zero. The first moose population was measured in 1992, one year later. This provides an initial condition P (1) = 4500.

P (1) =130 (1) + P0 = 4500

P0 = 4370

P(t)=20t+4630

The moose population P(t) changes linearly year after year. The population function P(t) is measured in terms of t years since 1990.

t= 1990, P (0) =4370

t =1992, P (1) =130 (1) + 4370 = 4500 matches data

t=1999, P (2) = 130(2) + 4370 = 4630

t=2006, P (3) = 130(3) + 4370 = 4760

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Putting together the solutions from each of the equations, the 4 letter code is GFBA

From the question, we are to solve each of the linear equations to determine the 4 LETTER CODE

1. -2x + 1 = 3x + 16

Add 2x to both sides

-2x + 2x + 1 = 3x + 2x + 16

1 = 5x + 16

Subtract 16 from both sides

1 - 16 = 5x + 16 - 16

-15 = 5x

x = -15/5

x = -3

The letter that corresponds to this is G

2. 7 - 8x = 4x - 17

Add 8x to both sides

7 - 8x + 8x = 4x + 8x -17

7 = 12x - 17

Add 17 to both sides

7 + 17 = 12x - 17 + 17

24 = 12x

x = 24/12

x = 2

The letter that corresponds to this is F

3. 20 -2(x - 2) = 2x

Clear the parentheses

20 -2x + 4 = 2x

Simplify

24 -2x = 2x

Add 2x to both sides

24 - 2x + 2x = 2x + 2x

24 = 4x

x = 24/4

x = 6

The letter that corresponds to this is B

4. 5(x + 4) = 6x - 5

Clear the parentheses

5x + 20 = 6x - 5

Subtract 5x from both sides

5x - 5x + 20 = 6x - 5x - 5

20 = x - 5

Add 5 to both sides

20 + 5 = x - 5 + 5

25 = x

x = 25

The letter that corresponds to this is A

Hence,

The code is GFBA

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Answer: 6 would be left

Step-by-step explanation: divide 3494 by 8

There will be 6 comics left over after putting them in groups of 8

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Bertie has 3494 comic books he wants them in groups of 8.

∴ The no. of groups can be obtained if we divide the total number of books by no. of books in each group which is,

= (3494/8).

= 438×8 + 6.

So, There will be 6 comics left over after putting them in groups of 8.

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The slope of the line whose data represents a linear function is  m = -1/4.

Slope of an straight line is denoted by m and is the measure of rate of change of 'y' with respect to 'x'. Mathematically -

m = tan(θ) = Δy/Δx

Given is a table representing a linear function. From the question, we can write -

X →    6      8     13      14

Y →  -16   -24   -44    -48

We can find the slope of this line using the formula -

m =  Δy/Δx

m =  (y₂ - y₁) / (x₂ - x₁)

Take any two coordinates from the table -

(x₁,  y₁) → (6, -16)

(x₂, y₂) → (8, -24)

Substitute the values in the formula -

m = (8 - 6)/(-24 + 16)

m = - 2/8

m = -1/4

Therefore, the slope of the line whose data represents a linear function is  m = -1/4.

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Answer:

B) 600000

Step-by-step explanation:

First we need to answer A

13822×623/14 = 615,079

B) 615,079 = 600000

Domain of inverse of f(x)=√x -1 is [-1,∞),{x|x≥-1}

Range of inverse of f(x)=√x -1 is [0,∞),{y|y≥0}

Finding the Inverse Function but not the Inverse Function's Domain and Range

First, we must determine the domain and range of the original function f in order to determine the domain and range of an inverse function (x).

1.Find the function's domain and range.

Assume that the domain of the function f(x) is [0,∞),{x|x≥0}

Assume that the range of the function f(x) is [-1,∞),{y|y≥-1}

2. Substitute Domain for Range and Range for Domain

The domain of the calulated function f^-1(x) is [-1,∞),{x|x≥-1}

f^-1(x) calculated function (x) the interval for range is [0,∞),{y|y≥0}

∴Domain of inverse of f(x)=√x -1 is [-1,∞),{x|x≥-1}

Range of inverse of f(x)=√x -1 is [0,∞),{y|y≥0}

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Answer:

y= -3x

Step-by-step explanation:

the equation is " y = (slope)x + (y-intercept) " hope this helps !!

Simplifying the problem by rationalizing all denominators will give result  [tex]14\sqrt[3]{3}[/tex]

Lets begin by simplifying the equation;

[tex]10\sqrt[3]{81} - 8\sqrt[3]{24}[/tex]    

The result is;

[tex]10 * 3 \sqrt[3]{3} - 8* 2*\sqrt[3]{3}[/tex]

[tex]30\sqrt[3]{3} -16\sqrt[3]{3}[/tex]

Let [tex]\sqrt[3]{3}[/tex] be a

Thus; 30a -16a= 14a

But a is [tex]\sqrt[3]{3}[/tex]

The final solution to this equation is thus;

[tex]14\sqrt[3]{3}[/tex]

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Answer:

P1 - (4,2) P2 - (-2,1)

Step-by-step explanation:

You write the point as (x,y) so just put the numbers from the graph into their correct positions

Answer:

[tex]p_{1}(4,2)[/tex] and [tex]p_{2} (-2,1)[/tex]

Step-by-step explanation:

Latitude and longitude are broken into degrees, minutes, seconds and directions, starting with latitude. For instance, an area with coordinates marked 41° 56' 54.3732” N, 87° 39' 19.2024” W would be read as 41 degrees, 56 minutes, 54.3732 seconds north; 87 degrees, 39 minutes, 19.2024 seconds west.

Answer:

C

Step-by-step explanation:

because the 21:9 is break to the smallest form which is C

Answer:

[tex]5x = - 1 - 1 = 5x \div 5 = - 2 \div 5 = 2 \div 5[/tex]

Each person will owe $7.7

Three friends eat lunch together

The bill accumulates to $10 plus a 10% tax fee

If they split the bill and and tax evenly

The amount each person will pay can be calculated as follows

21 × (1+10/100) /3

= 21 × (1+0.1)/3

= 21 × 1.1/3

= 23.1/3

= 7.7

Hence each person will pay $7.7

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The image of (10,10) after a dilation by a scale factor of 1/2 centered at the origin is (5, 5)

The point is given as

Point = (10, 10)

The scale factor is given as

k = 1/2 centered at the origin

The image after a dilation by the scale factor is calculated as

Image = Point * k

This gives

Image = (10, 10) * 1/2

Evaluate

Image = (5, 5)

Hence, the image of (10,10) after a dilation by a scale factor of 1/2 centered at the origin is (5, 5)

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The answer to the given logarithm expression is   log₂ 16 = 4

A power to which a number must be increased in order to achieve another value is referred to as a logarithm. The easiest way to represent enormous numbers is in this way.

The fact that addition and subtraction logarithms can be used to multiply and divide logarithms is supported by a number of significant features of logarithms. The use of logarithmic operations is subject to a set of rules. These guidelines are known as: Division regulations apply to products. Exponential/Power Law Changes to fundamental laws Rule of Base Change Log elaboration

We need to evaluate log₂ 16

Using the property logₐ (mⁿ) = n logₐ m

16 = 2⁴log₃ 125 can be written as

log₂ 16 = 4 log₂ 2

We know that logₐ a = 14 log₂ 2= 4

Hence , we evaluated the logarithm which is log₂ 16 = 4

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Answer:

[tex]b = 10\sqrt{5-4\cos 26^{\circ}}[/tex]

Step-by-step explanation:

Using the Law of Cosines,

[tex]b^2 = a^2 + c^2 - 2ac \cos B \\ \\ b^2 = 20^2 + 10^2 - 2(20)(10)\cos 26^{\circ} \\ \\ b=\sqrt{500-400\cos 26^{\circ}} \\ \\ =10\sqrt{5-4\cos 26^{\circ}}[/tex]

Answer:

Step-by-step explanation:

the independent variable is money.

sodas are the dependent.

the amount of sodas you buy are dependent on the amount of money you have.

Answer: (-2,3) (1,4) (-1,-4) (2,-3) the answer would be -16,1

Step-by-step explanation: graphing it

The value of each number is 52 and 39.

The ratio given is = 4 :3

Given, the sum of x + y = 91

(4n) + (3n) = 91

7n = 91

n = 13

So,

x = a*n = 4*13 = 52

y = b*n = 3 *13= 39

The ratio of 52:39 is 4:3.

The sum 52+39 = 91

Hence, the numbers are 39 and 52.

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Answer:

Yes.

Step-by-step explanation:

A good test to do is the vertical line test. You draw the equation you're trying to determine is or isn't a function, and then draw a vertical line through it, if it goes through once it is a function. If twice then it is not a function. Hope this helps. :)

Answer:

x = 16

Half of 32 is 16

Therefore, 2 × x(16) = 32

The directed line segment for all the given transformations to match the transformed line segment from translation 1 to translation 4.

In this question, the translations are defined by a line segment.

Such that in each translation, we can easily find the segment PQ (the measure and the direction).

And all the points in the Polygon P will be connected by that same segment PQ to the equivalent point in the Polygon Q. (where you only move the segment to the correct location, but the length and direction remains constant)

Thus, to find the line segment for each transformation, you need to correctly measure the length of the segment PQ, and also the direction (that can be defined by an angle).

With the above, we can find the directed line segment for all the given transformations to match the transformed line segment from translation 1 to translation 4.

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The simplify of the expression is  [tex]20 \sqrt{3}[/tex].

Fixing an equation manner that we ought to discover the fee of the variable, with the aid of the use of homes of actual numbers and combining like terms, which make the equation true. Simplifying an algebraic expression manner that we most effectively need to lessen the expression by means of the use of properties of actual numbers and mixing like phrases.

The square root of 2 hundred in its simplest radical form is 10√2. If we know the high factorization of quite a number, we can write the radical shape of the rectangular root of that variety. As a result, the high factorization of 2 hundred is two × 2 × 2 × five × five. As a result, the square root of 200 within the handiest radical shape has to be 10√2.

Simplify genuinely manner to make it easy. In arithmetic, genuinely or simplification is reducing the expression/fraction/trouble in an easier shape. It makes the hassle easy with calculations and fixing.

[tex]\sqrt{48} +2 \sqrt{27} + 5\sqrt{12}[/tex]

[tex]\sqrt{48} = 4\sqrt{3}[/tex]

[tex]2 \sqrt{27} = 6\sqrt{3}[/tex]

[tex]5\sqrt{12} = 10 \sqrt{3}[/tex]

[tex]4\sqrt{3} +6 \sqrt{3} + 10 \sqrt{3}[/tex]

[tex]= 20 \sqrt{3}[/tex]

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The correct option is (d).

d) (2,-6) & (4,-16)

Now, To find the correct option that is equivalent to this equation, we can begin by narrowing down the given options.

Since, The slope contains a negative number, that's mean the second point must have a lower y value than the first x value.

Hence, By using this criteria, we can eliminate the first and the third option.

Now, we can check the second and fourth option as;

We can test using by putting in values.

Let's plug in the point values to check whether they work:

Hence, For option 2:

y = -5x + 4

-24 = -5(4) + 4

-24 = -20 + 4

-24 ≠ -16

And, For option 4:

y = -5x + 4

-16 = -5(4) + 4

-16 = -20 + 4

-16 = -16

Therefore, The correct  option is option (d).

The complete question is this;

Which line has an equation of y= -5x+4 in slope intercept form?

A line passing through the points -

a) (1,9) & (3,19)

b) (2,-14) & (4,-24)

c) (1,1) & (3,11)

d) (2,-6) & (4,-16)