7. Find the area of the figure.
Is it right??

Answer:

If

Jane= x

John = y

y+7= x

x-y=7 ---- (1)

x+y=43 --- (2)

(1) + (2),

x-y+x+y=7+43

2x=50

x= 50÷2

x= 25

substituting x= 25 in (2),

25+y=43

y= 43-25

y= 18

Jane is 25 years old and John is 18 years old.

Step-by-step explanation:

Answer:

D. x=(5)/(3) and x=-4

Step-by-step explanation:

mulitply 3 and -20 =

-60

which 2 factors of -60, that when added make +7?

+12 and -5 do this

3(x+12/3)(x-5/3) = 0

3(x+4)(x-5/3)=0

divide both sides by 3

(x+4)(x-5/3)=0

x= -4 and x=5/3

Using translation concepts, it is found that the ordered pair of the final point is given by:

D. (5,4).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this situation, considering that we start at point (5,4), the translations are as follows:

It ends at the starting point, hence option D is correct.

More can be learned about translation concepts at https://brainly.com/question/4521517

In three hours, it will cover 3 full circles. Then the area of the circle covered in three hours is 980.55 cm².

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A clock's minute hand travels one full circle each hour.

A particular clock's minute hand is 10.2 cm.

In one hour, it covers one full circle. Then in three hours, it will cover 3 full circles.

The area of the circle covered in three hours will be

[tex]\rm Area \ of \ circle \ in\ 3\ hours = 3 * area\ of\ one\ circle\\\\Area \ of \ circle \ in\ 3\ hours = 3*\pi r^2\\\\Area \ of \ circle \ in\ 3\ hours = 3*\pi*10.2*10.2\\\\Area \ of \ circle \ in\ 3\ hours = 980.55[/tex]

More about the circle link is given below.

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Answer: C

Step-by-step explanation:

The product of these two expressions 3y⁻⁴ and 2y⁻⁴ is 6/y⁸. Then the correct option is A.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The expressions are as 3y⁻⁴ and 2y⁻⁴.

The product of these two will be

[tex]\rm 3y^{-4} * 2y^{-4}\\\\3*2*y^{-4}*y^{-4}\\\\6*y^{-4-4}\\\\6*y^{-8}\\\\\dfrac{6}{y^{8}}[/tex]

The product of these two expressions 3y⁻⁴ and 2y⁻⁴ is 6/y⁸. Then the correct option is A.

More about the multiplication link is given below.

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The result of the product expression [tex](3y ^{-4}) (2y^{-4})[/tex] is 6/y^8

The product expression is given as:

(3y ^{-4}) (2y^{-4)

Rewrite the expression properly as:

[tex](3y ^{-4}) (2y^{-4})[/tex]

Rewrite the factors of the expression as fractions

[tex]\frac{3}{y ^4} * \frac{2}{y^4}[/tex]

Multiply 3 and 2

[tex]\frac{6}{y ^4*y^4}[/tex]

Apply the law of indices

[tex]\frac{6}{y ^{4+4}}[/tex]

Add 4 and 4

[tex]\frac{6}{y ^{8}}[/tex]

Hence, the product of [tex](3y ^{-4}) (2y^{-4})[/tex] is [tex]\frac{6}{y ^{8}}[/tex]

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The function that translates every point of the function f(x) 5 units above can be represented by g(x)=log₂x + 5.

A function assigns the value of each element of one set to the other specific element of another set.

As the function that is given to us is f(x)=log₂x, therefore, the function can be written as,

[tex]y=f(x)=\rm log_2x[/tex]

Now, since we need every point to be up by 5 units, therefore, every value of x should be +5 on the y axis, therefore, the function that will represent that every point up by 5 units of the function f(x) can be written as,

[tex]g(x) = y+ 5\\\\g(x) = f(x) + 5\\\\g(x) = {\rm log}_2x + 5[/tex]

Hence, the function that translates every point of the function f(x) 5 units above can be represented by g(x)=log₂x + 5.

Learn more about Function:

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Answer:

Its A:  Translate each point of the graph of g(x) 5 units up.

Step-by-step explanation:

Answer:

(0 x 2) - 1 = -1

(1 x 2) - 1 = 1

(2 x 2) - 1 = 3

(3 x 2) - 1 = 5

Answer:

I think a-b.

Step-by-step explanation:

Hope it's help you ✨

Answer:

can you send a clearer picture

The factors of the equation [tex]3x^{2} -11x+8[/tex] will be [tex](3x-8)(x-1)[/tex]

When we split the equation into two groups we will get

[tex]3x^{2} -3x-8x+8[/tex]

[tex]3x(x-1)-8(x-1)[/tex]

Now taking (x-1) common

[tex](3x-8)(x-1)[/tex]

Thus the factors of the equation [tex]3x^{2} -11x+8[/tex] will be [tex](3x-8)(x-1)[/tex]

To know more about the factors of quadratic equation follow

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Answer:

  $1,630.08

Step-by-step explanation:

The value of an amount earning interest continuously compounded is given by the formula ...

  A = Pe^(rt)

The value of P can be found by dividing by its coefficient:

  P = A/(e^(rt)) = Ae^(-rt)

  P = $1700·e^(-0.014·3) ≈ 1630.0786

Terry placed $1,630.08 in the account.

Utilizando los dos puntos dados, veremos que la relacion lineal es:

Una ecuación lineal se escribe como:

y = a*x + b

donde a es la pendiente y b es la ordenada al origen.

Sí sabemos que una linea pasa por los puntos (x₁, y₁) y (x₂, y₂), entonces la pendiente va a ser:

a = (y₂ - y₁)/(x₂ - x₁).

Aca tenemos los dos puntos:

(20km, $190)

(25 km, $242)

Entonces la pendiente será:

a = ($242 - $190)/(25km - 20km) = $10.4 /km

y = ($10.4 /km)*x + b

Para obtener el valor de b, usamos uno de los puntos. Evaluando en x = 20km deberiamos obtener y = $190, entonces:

$190  =  ($10.4 /km)*20km + b

$190 = $208 + b

$190 - $208 = b = -$18

Entonces la ecuación es:

y = ($10.4 /km)*x -$18

B) La tarifa minima es lo que obtenemos con x = 1 km, entonces es:

y =  ($10.4 /km)*1 km - $18 = -$7.6

Notar que da un valor negativo, lo que indica que la relación quizas no es lineal.

C) La cuota por kilometro es la pendiente de la relación lineal, en este caso será: $10.4 /km.

Sí quieres aprender más sobre lineas, puedes leer:

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Answer:

(-6, -7)

explanation:

The value of y will be negative and x value shall be same.

Here the original coordinates of A: (-6, 7)

so when reflected: (-6, (-)7) = (-6, -7)

Answer:

Leg: BC (or CB)

Leg: AC (or CA)

Hypotenuse: AB (or BA)

Answer:

Leg 1: BC (CB) 3cm

Leg 2: AC (CA) 4cm

Hypotenuse: AB (BA) 5cm

Step-by-step explanation:

Answer:

Because it’s easier to be alone than without friends if ur a depressed emo like me

Answer: julie spent 4 more dollars than mindy

Step-by-step explanation: julie spent 36 dollars in the dress while mindy spent 32 dollars

Julie spend  [tex]\$4[/tex]  more money than Mindy on the dress.

Off/Discount is an amount that is subtracted from the regular price of an item.

The original price of dress [tex]= \$39.99[/tex]

Julie buys the dress for [tex]10\%[/tex] off at its original price.

So,

Julie buys the dress for  [tex]= 39.99-(39.99*\frac{10}{100} )[/tex]

                                         [tex]= \$35.991[/tex]

Mindy buys the same dress for [tex]20\%[/tex] off at its original price.

Mindy buys the same dress for [tex]= 39.99-(39.99*\frac{20}{100} )[/tex]

                                                    [tex]=\$31.992[/tex]

So,

Julie spend more money than Mindy on the dress [tex]=35.991-31.992[/tex]

                                                                                    [tex]=\$3.999[/tex]

                                                                                    [tex]=\$4[/tex]

Hence, we can say that Julie spend  [tex]\$4[/tex]  more money than Mindy on the dress.

To know more about Off/Discount click here

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Answer:

Step-by-step explanation:

Given "Two triangles that have three pairs of proportional sides are always similar."

Triangle 1: 18, 24, 36

Triangle 2: 16, 18, 24

16/18 = 8/9

18/24 = 3/4

24/36 = 2/3

So the three pairs of sides are not proportional and the triangles are not similar.

No as

One ratio is unsimilar so triangles are not similar

Answer:

4z-10

Step-by-step explanation:

Hope this helped idek if its an option but so srry if its wrong.

if Ibacteria are measured to be in a dirt sample that weighs 1 gram, Then he sample of bacteria that would be in a sample weighing 18 grams t is mathematically given as

x=1.044×10^9

Question Parameter(s):

5.8×10^7 bacteria are measured to be in a dirt sample that weighs 1 gram.

Generally, the equation for the statement  is mathematically given as

5.8×10^7=1g

x=18grams

Therefore

x=\frac{5.8×10^7*18}{1}

x=1.044×10^9

In conclusion,  the sample of bacteria is

x=1.044×10^9

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Answer: 4d + 2y + 10

Step-by-step explanation: Hoped This Helped! Thx For The Points!

Answer:

42 days

Step-by-step explanation:

6 weeks times 7 days is 42 days i believe

Answer:

5x-y=7

Step-by-step explanation:

y-3=5(x-2)

y-3=5x-10

y=5x-10+3

y=5x-7

5x-y=7

Answer:

-31

Step-by-step explanation:

a - 8x will change to (-7) - 8(3) = -31

Answer:-31

\(31\)

Step-by-step explanation:

Substitute: \(7 - 8 \times (- 3)\)

Remove the parentheses:\(7 + 8 \times 3\)

Calculate the product or quotient:\(7 + 24\)

Calculate the sum or difference:\(31\)

Answer: \(31\)

We see that angle 1 and angle 2 are equal.

By the vertical angle theorem, the opposite (vertical) angles of two intersecting lines are congruent, we see that angle 1 and angle 3 must be equal. Since angle 1 and angle 2 are equal, then angle 2 and angle 3 are equal.

And for angle 1, it must be 90 degrees, because if it was any other angle measure, angle 1 and angle 2 could never be equal

Answer:

9 1/3

Step-by-step explanation:

Pls, choose me as brainliest!

Answer: y = 1/4x -2.

Step-by-step explanation: The formula for these types of equations is y = mx + b, where m is the slope and b is the y-intercept.  The slope, in this case, is 1/4 and the y-intercept is -2.  The equation of the line for this problem is y = 1/4x - 2.

Hope this helps! :)