when do we use d=(x2-x1)+(y2-y1)

Answer: 400 miles

Step-by-step explanation:

Let x= the amount of miles

120+0.4x=40+0.6x

 80+0.4x=0.6x

          80=0.2x

             x=400

400 miles a day the rental cost will be same

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Point d is at (5, -5), which is five units to the right of the origin on the x-axis and five units below the origin on the y-axis. Similarly, point e is at (7, 3), point f is at (-1, 5), and point G is at (-3, -3).

The given points, d (5, -5), e (7, 3), f (-1, 5), and G (-3, -3) form quadrilateral DEFG. To plot these points, we can first draw the x and y axes on a graph paper.

Then, we can plot each point by locating its x-coordinate on the x-axis and its y-coordinate on the y-axis.

After plotting the points, we can click on the "Graph Quadrilateral" button to see the quadrilateral DEFG. It should be a closed shape with four sides, connecting the four points in the given order.

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Answer:

x = ±2√15

Step-by-step explanation:

x^2 = 60

x = ±√60

x = ±2√15

Answer:

(a) Pentagon

(b) Perimeter= 1435cm

Step-by-step explanation:

Given

\(Side\ lengths: 3.65m, 2.24m, 2.57m, 2.24m, 3.65m\)

Though the question has a missing attachment, it can still be answered

Solving (a): The name of the polygon

Since we are given 5 side lengths, we can say that the polygon has 5 sides.

Such polygon is referred to as, a pentagon

Solving (b): The perimeter (in cm)

To do this, we simply add up the side lengths

\(Side\ lengths: 3.65m, 2.24m, 2.57m, 2.24m, 3.65m\)

\(Perimeter= 3.65m+ 2.24m+ 2.57m+ 2.24m+ 3.65m\)

\(Perimeter= 14.35m\)

Convert to cm

\(Perimeter= 14.35*100cm\)

\(Perimeter= 1435cm\)

Answer:

44

Step-by-step explanation:

Let x represent the number.

Create an equation, and solve for x:

4x = 6x - 88

-2x = -88

x = 44

So, the number is 44.

The number is 44.

To find the number.

science that deals with the addition, subtraction, multiplication, and division of numbers and properties and manipulation of numbers. Arithmetic is the basics of the abstract science of numbers and operations on them. The formula for any arithmetic sequence is this: an = a1 + d (n - 1).

Given that:

Let x represent the number.

Create an equation, and solve for x:

4x = 6x - 88

-2x = -88

x = 44

So, the number is 44.

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Answer:

c) 1:3

Step-by-step explanation:

Since 16 watermelons cost $48, the cost of 1 watermelon is 48 / 16 = $3.

Hence 1 : 3

The Answer is B so pick it.

Answer:

What does a goat say?BBBBBBB

Step-by-step explanation:

Answer:

Area = 36 \(units^{2}\)

Perimeter = 26 units

Step-by-step explanation:

Helping in the name of Jesus.

Answer:

By using the zero product property so like if it's (x-3) (x-7) you know that you just have to use the zero product property and do x=3 and x=7 which means the x-intercepts are (3,0) and (7,0)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Since it ends in 5 it is an odd number.

Answer:

C: 3475

Step-by-step explanation:

3475

If the last or only digit is odd, the whole number is odd.

These are the odd numbers:

1, 3, 5, 7, and  9

Answer:

3.568

Step-by-step explanation:

3+0.5+0.06+0.008=3.568

Answer:

43 − ( 196 : 7 )

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

14 x 2 = 28

28 / 7 = 4

7 + 4 = 11

50 - 11 = 39

Answer:

Susy and Michael were sharing of a pizza. Each of them ate of the pizza that they had. What part

of the whole pizza did they Michael eat?

Answer:

Step-by-step explanation:

y

=

1

3

x

−

3

Use the slope-intercept form to find the slope and y-intercept

Slope:

1

3

y-intercept:

(

0

,

−

3

)

Any line can be graphed using two points. Select two

x

values, and plug them into the equation to find the corresponding

y

values.

x

y

0

−

3

3

−

2

Graph the line using the slope and the y-intercept, or the points.

Slope:

1

3

y-intercept:

(

0

,

−

3

)

x

y

0

−

3

3

−

2

image of graph

Answer:

the answer is b, c, d, a, respectively

Answer:

Explanation:

if ramin's house number = 3 yuza's

then choices are: n×3

1 , 3 | 2 , 6 | 3 , 9 | 4 , 12 | 5 , 13 | 6 , 18 | 7 , 21

since there are 13 house between yuza and ramin

thus it's 7 , 21 (because there's 13 numbers between 7 and 21)

yuza lives in house 7

ramin live in house 21

and since houses between yuza and glonti = 3 times houses between glonti and ramin, with a ratio of 3:1

13 - 1 = 12 (we subtracted 1 for glonti's house)

3:1 , 3+1=4

12/4=3

3×3=9

hence

9 and 3 are the numbers of houses in each side with glonti in the middle

9 houses - glonti's house - 3 houses

7 + 9 = 16 (yuza's house number 7 plus 9 houses ahead)

glonti lives in the house: 16 + 1 = 17

The y-coordinate of -3f(x-1) when x = 0 is -63

From the question, we have the following parameters that can be used in our computation:

The table of values

So, we have

-3f(x - 1)

When x = 0, we have

y = -3f(0 - 1)

This gives

y = -3f(-1)

From the table, we have

y = -3 * 21

Evaluate

y = -63

Hence, the y-coordinate is -63

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Answer:

B) a local beach.

At a local beach, you might find quiet a few different perspective from people who like or don't like swimming, whether going to a swimsuit store, you most likely will find people buying the swimsuit because they enjoy it, and plan on swimming in it.

Step-by-step explanation:

Hope it helps! =D

Answer:

4(a).

Expression of dy/dx :

\({ \tt{ \frac{dy}{dx} = - 2(3 - 2x) {}^{2} + 24}}\)

5(a).

\({ \tt{ \frac{dy}{dx} = 54 - 2(2x - 7) {}^{2} }}\)

Answer/Step-by-step explanation:

Based on the factor theorem, a polynomial, x - a, is said to be a factor of another polynomial, f(x), if an only if f(a) = 0.

Using this theorem, let's determine whether each of the given first polynomial, is a factor of the second polynomial.

1. x - 1; x² + 2x + 5

By the factor theorem, x - 1 will be a factor of f(x) = x² + 2x + 5, if and only if f(1) = 0.

f(1) = 1² + 2(1) + 5

= 1 + 2 + 5

= 8

Since f(1) ≠ 0, therefore the first polynomial, x - 1, is NOT a factor of the second polynomial, x² + 2x + 5.

2. x + 1; x³ - x - 2

By the factor theorem, x + 1 will be a factor of f(x) = x³ - x - 2, if and only if f(-1) = 0.

f(1) = -1³ - (-1) - 2

= -1 + 1 - 2

= -2

Since f(-1) ≠ 0, therefore the first polynomial, x + 1, is NOT a factor of the second polynomial, x³ - x - 2.

3. x - 4; 2x³ - 9x² + 9x - 20

By the factor theorem, x - 4 will be a factor of f(x) = 2x³ - 9x² + 9x - 20, if and only if f(4) = 0.

f(4) = 2(4)³ - 9(4)² + 9(4) - 20

= 128 - 144 + 36 - 20

= 0

Since f(4) = 0, therefore the first polynomial, x + 4, is a factor of the second polynomial, 2x³ - 9x² + 9x - 20.

4. a - 1; a³ - 2a² + a - 2

By the factor theorem, a - 1 will be a factor of f(a) = a³ - 2a² + a - 2, if and only if f(1) = 0.

f(1) = 1³ - 2(1)² + 1 - 2

= 1 - 2 + 1 - 2

= -2

Since f(1) ≠ 0, therefore the first polynomial, a - 1, is NOT a factor of the second polynomial, a³ - 2a² + a - 2.

5. y + 3; 2y³ + y² - 13y + 6

By the factor theorem, y + 3 will be a factor of f(y) = 2y³ + y² - 13y + 6, if and only if f(-3) = 0.

f(-3) = 2(-3)³ + (-3)² - 13(-3) + 6

= -54 + 9 + 39 + 6

= 0

Since f(-3) = 0, therefore the first polynomial, y + 3, is a factor of the second polynomial, 2y³ + y² - 13y + 6.

Answer:The value of cos 60 degrees can be calculated by constructing an angle of 60° with the x-axis.

Step-by-step explanation:

Then finding the coordinates of the corresponding point (0.5, 0.866) on the unit circle.
The value of cos 60° is equal to the x-coordinate (0.5).
     ∴ cos 60° = 0.5.

The value of cos 60° using trigonometric ratio  is 1/2 or 0.5 .

What is trigonometric ratios?

There are six trigonometric ratios used in trigonometry: sine, cosine, tangent, secant, and cotangent. The abbreviations for these ratios are sin, cos, tan, sec, cosec(or csc), and cot. Look at the below-displayed right-angled triangle. Any two of the three sides of a right-angled triangle can be compared in terms of their relative angles using trigonometric ratios.

Here , the given is ,

=> cos60°

Since the cosine function is a periodic function, we can represent cos 60° as, cos 60 degrees = cos(60° + n × 360°),

Then

=> Cos 60° = 1/2 = 0.5.

Hence the value of cos 60° is 1/2 or 0.5.

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To determine when the total cost of each health club will be the same, we can set up an equation and solve for the number of months.

Let's assume the number of months is represented by 'x'.

For Club A, the total cost is given by:

Total cost of Club A = $13 (one-time fee) + $28x (monthly fee)

For Club B, the total cost is given by:

Total cost of Club B = $19 (one-time fee) + $27x (monthly fee)

To find the number of months when the total cost is the same, we set the two equations equal to each other:

$13 + $28x = $19 + $27x

Simplifying the equation, we get:

$28x - $27x = $19 - $13

$x = 6

Therefore, after 6 months, the total cost of each health club will be the same.

To find the total cost for each club after 6 months, we substitute the value of 'x' back into the equations:

Total cost of Club A after 6 months = $13 + $28(6) = $13 + $168 = $181

Total cost of Club B after 6 months = $19 + $27(6) = $19 + $162 = $181

So, the total cost for both Club A and Club B will be $181 after 6 months.

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Sara needs to reduce the price by approximately 33.33% to provide the same value for money as Zak's idea.

To find the percentage by which Sara needs to reduce the price to provide the same value for money as Zak's idea, we need to compare the original price and the new price under Zak's idea.

Let's assume the original price of a box of pet food is P and the original amount of pet food in each box is A.

According to Zak's idea, the company will put 50% more pet food into each box without changing the price. Therefore, the new amount of pet food in each box will be 1.5A.

To calculate the value for money under Zak's idea, we divide the amount of pet food by the price:

Value for money (Zak's idea) = (1.5A) / P

Now, let's consider Sara's idea. She wants to reduce the price but keep the amount of pet food unchanged. Let's assume Sara reduces the price by a percentage represented by x.

Under Sara's idea, the new price of a box of pet food will be P - (x/100)P = P(1 - x/100).

Since Sara wants her idea to provide the same value for money as Zak's idea, we can equate the two value for money expressions:

(1.5A) / P = (A) / (P(1 - x/100))

Cross-multiplying and simplifying the equation:

1.5A * P(1 - x/100) = A * P

1.5(1 - x/100) = 1

Simplifying further:

1 - x/100 = 2/3

-x/100 = -1/3

x/100 = 1/3

x = 100/3

Therefore, Sara needs to reduce the price by approximately 33.33% to provide the same value for money as Zak's idea.

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Answer: x = 9

Step-by-Step Solution:

Hypotenuse = 15 units

Base = 12 units

Altitude = x units

Using Pythagoras Theorem,

=> Hypotenuse^2 = Base^2 + Altitude^2

(15)^2 = (12)^2 + x^2

225 = 144 + x^2

225 - 144 = x^2

81 = x^2

x^2 = 81

x = √81

=> x = 9

Therefore, Altitude = 9 units

the measure of the angle that is supplementary to angle RST is 90 degrees

To determine the value of the angle, we need to know the following;

From the information given, we have that;

Angle RST is its own complement

Then, angle RST =90 degrees

The supplementary angle should be y

Then,

RST + y= 180

substitute the values

y = 180 - 90

subtract the values

y= 90 degrees

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