(1,5) (-1, 1) translation​

Answer:

The coordinates of the intersection of the diagonal of the parallelogram are [tex]M(x,y) = (3,2)[/tex].

Step-by-step explanation:

Diagonals are represented by line segments GJ and KH. Since quadrilateral is a parallelogram, then coordinates of the intersection are located at midpoint of each diagonal ([tex]M(x,y)[/tex]). That is:

[tex]M(x,y) = G(x,y) + \frac{1}{2}\cdot \overrightarrow {GJ}[/tex]

[tex]M(x,y) = G(x,y) +\frac{1}{2}\cdot [J(x,y)-G(x,y)][/tex] (1)

If we know that [tex]G(x,y) = (1,3)[/tex] and [tex]J(x,y) = (5,1)[/tex], the coordinates of the intersection of the diagonals of the parallelogram are:

[tex]M(x,y) = (1,3) +\frac{1}{2}\cdot [(5,1)-(1,3)][/tex]

[tex]M(x,y) = (1,3) +\frac{1}{2}\cdot (4,-2)[/tex]

[tex]M(x,y) = (1,3) +(2,-1)[/tex]

[tex]M(x,y) = (3,2)[/tex]

There is another form:

[tex]M(x,y) = K(x,y) +\frac{1}{2}\cdot \overrightarrow{KH}[/tex]

[tex]M(x,y) = K(x,y) + \frac{1}{2}\cdot [H(x,y)-K(x,y)][/tex] (2)

If we know that [tex]K(x,y) = (2, 1)[/tex] and [tex]H(x,y) = (4,3)[/tex], the coordinates of the intersection of the diagonals of the parallelogram are:

[tex]M(x,y) = (2,1) + \frac{1}{2}\cdot [(4,3)-(2,1)][/tex]

[tex]M(x,y) = (2,1) + \frac{1}{2} \cdot (2,2)[/tex]

[tex]M(x,y) = (2,1) + (1,1)[/tex]

[tex]M(x,y) = (3,2)[/tex]

Therefore, the coordinates of the intersection of the diagonal of the parallelogram are [tex]M(x,y) = (3,2)[/tex].

Answer: (-8,6)

Step-by-step explanation:

Question: What is the image of (-4,3)(−4,3) after a dilation by a scale factor of 22 centered at the origin?

Dilation: multiply each coordinate

(x,y)\rightarrow (2x,2y)

(x,y)→(2x,2y)

Dilations multiply by scale factor

(\color{red}{-4},\color{blue}{3}) \rightarrow (2\cdot \color{red}{-4},2\cdot \color{blue}{3})=\mathbf{(-8,6)}

(−4,3)→(2⋅−4,2⋅3)=(−8,6)

This was on my delta math so i hope this helps

The image of the point (- 4, 3) after dilation will be (-8,6).

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.

Given point is  (-4, 3). The dilation of the point will be calculated as below:-

Dilation:- multiply each coordinate.

(x,y)→(2x,2y)

Dilations multiply by a scale factor

(−4,3)→(2⋅−4,2⋅3)=(−8,6)

Therefore, the image of the point (- 4, 3) after dilation will be (-8,6).

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Answer:

The zeros of a function are the points where the graph of the function crosses the x-axis.

Clearly Graph in option D could be the function which has 5 zeroes as it passes through the axis at 5 points.

Step-by-step explanation:

The graph of the function will intersect the x-axis five times. Then the correct option is D.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

If the function f has five distinct zeros.

Then the graph represents the complete graph of the function in the xy-plane will be

We know that the zeroes of the function are the intersection points of the x-axis and the function.

That means the graph will intersect the x-axis five times.

Then the correct option is D.

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Answer:

the first question is the second choice

the second question is the 1st choice

the third question is the third choice

Answer: 12x+27

Step-by-step explanation: 3*4=12 and 3*8=24 24+3=27 so simplyfy it and you would get 12x+27

Answer: 3.1 ? Possibly

Step-by-step explanation: Hmm have a brilliant day mate.-Lily ^_^

Answer:

you need to find 8 gold bars

Step-by-step explanation:

Answer:

The answer is 84x-16y-10.6

Step-by-step explanation:

You're welcome

Answer:

Already in simplilest form

Answer:

1 .Rearrange terms

5+2=−3

2+5=−3

2.Subtract 5 from both sides of the equation

2+5=−3

2+5−5=−3−5

3.Simplify

Subtract the numbers

2=−8

4.Divide both sides of the equation by the same term

2=−8

2/2=−8/2

5.Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

solution : =−4

Answer:

uh either b or e

the others are slope-intercept

I hope this helps:)

- ♥

Answer:

19+7x=40

40-19=7x

40-7x=19

Answer:

yes because she adds 4:1.

Step-by-step explanation:

Answer:

Step-by-step explanation:

the expression will be

n-35

Step-by-step explanation:

in the?¿????????!?????

Answer:

wott?

Step-by-step explanation:

Answer:

true

Step-by-step explanation: Any value of  y  makes the equation true.  All real numbers  Interval Notation: ( − ∞ , ∞ )

Answer:

you $42 and your saving $18

Step-by-step explanation:

Answer:

$42 would be the cost of the shirt after the discount. The difference between the price of the shirt before the discount, and after is $18.

Step-by-step explanation:

If you divide 60 by 100, you would get the value for 1% of $60. If you multiply that number by the discount amount, you get the amount that is going to be subtracted from the cost when the discount is applied.

60 / 100 = 0.6

0.6 x 30 =  18      (This is the difference)

60 - 18 = 42        (This is the value after the discount)

Thus the value after the discount is $42, and he difference between the 2 values is $18.

Answer:

y = [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Given y varies directly as x, then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 6 when y = 0.5 , then

0.5 = 6k ( divide both sides by 6 )

[tex]\frac{0.5}{6}[/tex] = k , that is k = [tex]\frac{1}{12}[/tex]

y = [tex]\frac{1}{12}[/tex] x ← equation of variation

When x = 10, then

y = [tex]\frac{1}{12}[/tex] × 10 = [tex]\frac{10}{12}[/tex] = [tex]\frac{5}{6}[/tex]

Answer:

oh lawd- i cant do this-

Step-by-step explanation:

Answer:

(2,5) goes to (3,3)

(-3,2) goes to (-2,0)

(-3,5) goes to (-2, 3)

translated 1 unit to the right and 2 units down

Answer:

-1

Step-by-step explanation:

First input = 4

Then we subtract 7 = 4 - 7 = -3

After that we divide 3 = - 3 ÷ 3 = -1

Hence, the output is -1 (Ans)

Answer:

2.4 or  [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

In the divisor (the second fraction) we flip the numerator and the denominator. This is known as the reciprocal and basically it means the reverse of the fraction. When we find the reciprocal, we also have to change the division sign to a multiplication sign.

Once you've flipped the second fraction and changed the symbol from divide to multiply, we can multiply the numerators together and the denominators together and we have our solution:

[tex]\frac{12}{5}[/tex]

Answer:

I can see how many guests that are there

I would still like to help though!

Answer and Step-by-step explanation:

[tex](\frac{1.25 - x}{1.25x} ) * 100\\\\\\(\frac{1.25}{1.25x} - \frac{x}{1.25x} ) * 100\\\\(\frac{1}{x} - \frac{1}{1.25} ) * 100\\\\\frac{100}{x} - 80\\\\\\[/tex]

Decreased by 20%

Answer:

YESSSSSS I LOVE HAIKYUU (my favorite ppl in haikyuu are iwaizumi, akaashi, kuroo, oikawa, and kenma- also suna)

Step-by-step explanation:

also 20% is ur answer

Answer:

y = 40 / x^1/3

Step-by-step explanation:

Given that :

y α x^1/3

y = k * 1 / x^1/3

y = k / x^1/3

When x = 125 ; y = 8

8 = k / 125^1/3

Cube root of 125 = 5

8 = k / 5

8 * 5 = k ; k = 40

Hence, expression becomes :

y = 40 / x^1/3

y α k/∛x is the relationship of the variables x and y whose values are 125 and 8.

Two or more expressions connected with an equal sign is called Equation.

The relationship of the given variables. y varies inversely as the cube root of x.

By given data we can write as

y α k/∛x

The cube root of 125 is 5.

y α k/∛125

y α k/5

8=k/5

k=40

Hence y α 40/∛x is the relationship of the variables x and y whose values are 125 and 8.

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Answer:

its 24

Step-by-step explanation:

24

Answer: tan(65) = x/ 30

Step-by-step explanation: i took the quiz

The equation could be used to find the height of the flagpole is

tan 65= x/ 30.

The study of triangles' relationships to their angles, lengths, and heights is known as trigonometry. In particular for right-angled triangles, it includes ratios, functions, identities, and formulas to solve issues based on it.

Given:

Base= 30 feet

Angle = 65

Using Trigonometry

tan 65 = P / B

P = B (tan  65)

P = 30 ( tan 65)

or, x= 30 tan 65

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Answer:

4(5x-20)=-20 should be x=3

Answer:

x = 3

Step-by-step explanation:

4(5x−20)=−20 | Given

20x - 80 = -20 | Distribute the number on the outside (multiply all numbers on the inside by the number on the outside, 4×5x and 4×-20)

20x = 60 | Add 80 to both sides (do the opposite operation, if its a negative number add it to both sides)

x = 3 | Divide both sides by 20x (20x turns into x and 60 turns into 3 via 60÷20)

Answer:

x = 22/15

Step-by-step explanation:

17x - 6 + 3x - 5 = x + 11 + 4x

= (17x + 3x) (-6 - 5) = x + 11 + 4x

= 20x - 11 = x + 11 + 4x

= 20x - 11 = (x + 4x) + 11

= 20x - 11 = 5x + 11

= 20x - 5x = 11 + 11

= 15x = 22

Exact form: 22/15

decimal: 1.4666666...

mixed number: 1 7/15

Answer:

64.32

I hope you got your answer.