Calculate the length between the following

points using the distance formula.


Help please

Answer:

Y = 16a + 12b

Step-by-step explanation:

Given:

Cost of each neckless = $16

Cost of each bracelet = $12

Find:

Equation for the following state

Computation:

Assume;

Number of neckless sale in a month = a

Number of bracelet sale in a month = b

Total amount she earn = Y

So,

Total amount she earn = (Cost of each neckless)(Number of neckless sale in a month) + (Cost of each bracelet)(Number of bracelet sale in a month)

Y = (16)(a) + (12)(b)

Y = 16a + 12b

The equations of the lines are y = -7/2x + 20 and y = (2/7)(x - 4) + 6

The equation is given as

-2x+7y=4.

So, we have

y = 2/7x + 4/7

The given line has a slope of 2/7

Perpendicular lines have slopes that are negative reciprocals of each other.

The negative reciprocal of 2/7 is -7/2

So, we have

y - y1 = m(x - x1)

where (x1, y1) is the given point and m is the slope.

Substituting the values, we get:

y - 6 = (-7/2)(x - 4)

Simplifying this equation, we get:

y = -7/2x + 20

Parallel lines have the same slope.

So, the slope is 2/7

Using the point-slope form of the equation of a line again, we get:

y - 6 = (2/7)(x - 4)

Simplifying this equation, we get:

y = (2/7)(x - 4) + 6

Therefore, the equation of the line that is parallel is y = (2/7)(x - 4) + 6

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In the image above you have the distribution of the 16 seats in the van (in pairs). You can identify the number of pairs (two seats) in red.

Check the picture below.

The family size has the lowest price compared to the family price per ounce which the amount is $0.21 / ounce.

To compare the box of cereal price we need to know the price per ounce first. It can be written as

Price per ounce = price /  total ounces

From the text above, we know that :

large size price = $3.34

large size ounces = 15

family size price = $5.14

family size ounces = 24

By substituting the parameter we can get the price per ounce of large size and family size

Large size

Price per ounce = price /  total ounces

Price per ounce = 3.34 / 15

Price per ounce = $0.22 / ounce

Family size

Price per ounce = price /  total ounces

Price per ounce = 5.14 / 24

Price per ounce = $0.21 / ounce

Hence, the family size has the lowest price compared to the family price per ounce which the amount is $0.21 / ounce.

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Answer:

1.5 * 4.7

Step-by-step explanation:

The top adds to 4+.7 = 4.7

The side adds to 1+.5 = 1.5

When they multiply it is

1.5 * 4.7

Answer:

sorry

Step-by-step explanation:

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Answer:

30000 : 20000

Step-by-step explanation:

Given the ratio

\(\frac{1}{10}\) : \(\frac{1}{15}\) ( multiply both parts by 30 the LCM of 10 and 15, to clear the fractions )

= 3 : 2

sum the parts of the ratio, 3 + 2 = 5 parts

Divide the amount by 5 to find the value of 1 part of the ratio

50000 ÷ 5 = 10000 ← value of 1 part of the ratio, then

3 parts = 3 × 10000 = 30000

2 parts = 2 × 10000 = 20000

Then

50000 = 30000 : 20000 in the ratio 3 : 2

Answer:

a= 115° ( by alternate)

b=108°(by corresponding)

c=135°( by alternate)

Answer:

-12 + 9p

Step-by-step explanation:

Original Equation:

-12 - 5p + 2(6p + p)

Distributive property.

2 x 6p = 12p

2 x p = 2p

Equation:

-12 - 5p + 12p + 2p

Subtract 5p from 12p

-12 + 7p + 2p

Add.

-12 + 9p

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Given:

The function

Required:

What’s all the transformations that happened

Explanation:

The required concepts:

Now,

Answer:

Completed the answer.

Answer:

THE LAST TABLE HOPE THIS HELPS:)

The only number that is a factor of 63 and 6363 is option B: 3,  while the other options are not factors

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

To determine which of the given numbers is a factor of 63 or 6363, we need to check if they divide the given numbers without leaving any remainder.

Option A: 6

63 ÷ 6 = 10 remainder 3

6363 ÷ 6 = 1060 remainder 3

Since both calculations leave a remainder of 3, 6 is not a factor of 63 or 6363.

Option B: 3

63 ÷ 3 = 21

6363 ÷ 3 = 2121

Since both calculations give a whole number without any remainder, 3 is a factor of 63 and 6363.

Option C: 8

63 ÷ 8 = 7 remainder 7

6363 ÷ 8 = 795 remainder 3

Since both calculations leave a remainder, 8 is not a factor of 63 or 6363.

Option D: 2

63 ÷ 2 = 31.5

6363 ÷ 2 = 3181.5

Since both calculations give a non-integer result, 2 is not a factor of 63 or 6363.

Therefore, the only number that is a factor of 63 and 6363 is option B: 3,  while the other options are not factors

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Answer:

The coordinates of the midpoint M(1/2 , 3/2)

First, what is an equation?

➳ A mathematical statement which shows that two algebraic expressions are equal is called and equation.

Or, LHS = RHS

Example:- 3x - 5 = x + 8

An equation is said to be a linear equation if it contains only one variable (literal) with highest power 1.

_______________________

Solving an equation:-

To solve the equation x + 5 = 7 means to find the value of an unknown algebraic quantity used in the equation.

Example:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

★ Rules for solving an equation by the substitution method:-

Rule ❶ 

If x = 2, the value of the expression 3x + 2 = 3 × 2 + 2 = 6 + 2 = 8

Rule ❷

If x = 0, the value of the expression 3x + 2 = 3 × 0 + 2 = 0 + 2 = 2

Rule ❸ 

If x = -2, the value of the expression 3x + 2 = 3 × -2 + 2 = -6 + 2 = -4

Now consider the algebraic expression 5x - 2y

This expression consists of variables x and y.

Now if :-

⠀⠀⠀⠀⠀⠀⠀⠀

The process of finding the value of an algebraic expression by substituting the given value of its variable is called substitution.⠀⠀

Area Principle. In a statistical display, each data value should be represented by the same amount of area. Bar chart (Relative Frequency Bar Chart)

Using rectangular bars with heights or lengths proportional to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. A column chart is another name for a vertical bar graph.

Using rectangular bars with heights or lengths proportional to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. A column chart is another name for a vertical bar graph.

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Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

Answer:

After four years: $72,000

After ten years: $84,000

Step-by-step explanation:

You know this because 4 (number of years) multiplied by 2,000 ( raise every year) is 8,000. 8,000 plus $64,000 is $72,000.

Answer:

1st slide:

A. a translation 5 units to the left

B.translation 7 units down

2nd slide

A. Wider than and opens in the opposite direction of

B. Narrower than and opens in the same direction as

3rd slide

1,-5,3

4th slide

A. Right, 8

B. Down,6

5th slide

Sample response:complete the square to get the equation in vertex form with a=-16, h=1, and k=19. The path is a reflection over the x-axis and narrower. It is also translated right 1 unit and up 19 units.

6th slide

The upside down U with the y axis to the right

7th slide

A. 1,-5

B. -3,2

8th slide

A. 1 1

B. 1

C. 2

9th slide

3,1

10th slide

4,-32

2,-15

11th slide

Step-by-step explanation:

The translation of the equation y = x to the graph of y = (x+5) has a translation of 5 units to the left. The correct option is B.

The process of changing the location of the image on the coordinate system will be known as the translation. 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.

Given equations are y = x and y = x + 5. When the two equations are plotted on the graph it is observed that the line of the equation y = x + 5 lies on the left side of the line y = x of about 5 units.

Therefore, the translation of the equation y = x to the graph of y = (x+5) has a translation of 5 units to the left. The correct option is B.

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x:y=0.75:0.90

Here,

Dividing by the value of y=0.90,

x:y=0.75/0.90:0.90/0.90

=5/6:1

Similarly,

y:z=1/3:1/4

Dividing by 1/3,we get,

y:z=1:3/4

Now,

X:y:z=5/6:1:3/4

Multiplying by both value of y,0.90×1/3=3/10

x:y:z=5/6×3/10:1×3/10:3/4×3/10

By solving this,

x:y:z=1/4:3/10:9/40Answer:

Step-by-step explanation:

4. f(x,y) is homogeneous of degree 2.

5. a) f(x,y) is homothetic with h(x,y) = xy and g(x) = x-1

4. Show that f(x,y)=\(x^2\)y is homogeneous, and find its degree of homogeneity:

A function is said to be homogeneous of degree k, if it satisfies the condition:

f(tx,ty) = \(t^k\)f(x,y)

We have f(x,y) = \(x^2\)y. Let’s check if it satisfies the above condition:

f(tx,ty) = \((tx)^2(ty) = t^3x^2y = t^2(x^2y\)) = \(t^2\)f(x,y)

Hence f(x,y) is homogeneous of degree 2.

5. Which of the following functions f(x,y) are homothetic? Explain.

(a) f(x,y)=\((xy)^2\)+1

(b) f(x,y)=\(x^2+y^3\)

Let us first understand the meaning of homothetic transformation.

A homothetic transformation is a non-rigid transformation of the Euclidean plane that preserves the direction of the straight lines but not their length. It stretches or shrinks the plane by a constant factor called the dilation.

Let’s now find out whether the given functions are homothetic or not.

(a) f(x,y)=\((xy)^2\)+1

In order to check if f(x,y) is homothetic or not, we need to check if the function satisfies the following condition:

f(x,y) = g(h(x,y))

where g is a strictly monotonic function and h is a homogeneous function with degree 1

We have

f(x,y) = \((xy)^2\)+1

Let’s assume g(x) = x - 1, then g(x+1) = x

Similarly, let’s assume h(x,y) = (xy), then h(tx,ty) = \(t^2\)h(x,y)

Now, we have

g(h(x,y)) = h(x,y) - 1 = (xy) - 1

Thus f(x,y) is homothetic with h(x,y) = xy and g(x) = x-1

(b) f(x,y)=\(x^2+y^3\)

We can’t write this function in the form f(x,y) = g(h(x,y)) where h(x,y) is a homogeneous function with degree 1. Hence this function is not homothetic.

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False. A p-value is used to determine the probability of an observed correlation occurring by chance, and a statistically significant p-value indicates that the observed correlation is not due to random chance, but rather a real correlation between the two variables.

A p-value is calculated by comparing the observed correlation of the two variables to the expected correlation from a randomly generated data set. The lower the p-value, the greater the chance that the observed correlation is not due to random chance. If the p-value is below a predetermined threshold (often set at 0.05) then the correlation is considered statistically significant and not due to random chance. Therefore, a p-value for correlation which is statistically significant implies that the correlation is real, and not due to random chance.

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Answer:

Step-by-step explanation:

the answer is 152

In geometry, the symmetric property of congruence states that if one figure is congruent to another then the second one is also congruent to the first. Then if we have two triangles ABC and DEF this property implies that:

Then the answer is option A, symmetric property.

Answer:

The answer is

\(y = - 4x + 6\)

Step-by-step explanation:

Negative reciprocal for the slope.

The equation of the perpendicular line will be y = -4x + d. Then the correct option is C.

Let the equation of the line be y = mx + c. Then the equation of the perpendicular line that is perpendicular to the line y = mx + c is given as y = -(1/m) + d. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation of the line is given as,

y = (1/4)x - 3

The slope of the line is 1/4. Then the slope of the perpendicular line will be - 4. Then the equation of the line is given as,

y = -4x + d

The equation of the perpendicular line will be y = -4x + d. Then the correct option is C.

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The natural length of the spring is approximately 3.97 cm.

The natural length (in cm) of the spring can be found by the following steps:

Given that 2.4 J of work is needed to stretch a spring from 15 cm to 19 cm  and 4 J is needed to stretch it from 19 cm to 23 cm.

We know that the work done in stretching a spring is given by the formula;

W = ½ k (x₂² - x₁²)

Where,W = work done

k = spring constant

x₁ = initial length of spring

x₂ = final length of spring

Let the natural length of the spring be x₀.

Then,

2.4 = ½ k (19² - 15²)

Also,4 = ½ k (23² - 19²)

Expanding and solving for k gives:

k = 20

Next, using the value of k in any of the equations to solve for x₀,

x₀² - 15² = (2 × 2.4) ÷ 20

x₀² = 15² + (2 × 2.4) ÷ 20

x₀² = 15.72

x₀ = √15.72

x₀ ≈ 3.97

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The mathematical average of the number of feet in a yard, seconds in a minutes and months in a year is 25.

In Mathematics and Geometry, the arithmetic average for any data set can be calculated by using the following formula:

Arithmetic average = [∑(x)]/n

Generally speaking, we have the following standard parameters;

∑(x) = 3 + 60 + 12

∑(x) = 75

Now, we can determine the arithmetic average as follows;

Arithmetic average = 75/3

Arithmetic average = 25.

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y = -\(\frac{5}{3}\)x+5  equation has an X intercept of 3 and a y intercept of 5 .

  The point on a line where it crosses an axis is referred to as the "intercept." The slope of the line passes through a point called an intercept on the y-axis.

The equation for a line, which is written as y = mx+c, which stands for slope and y-intercept, respectively, reflects this.

The two main intercepts are X-intercept and Y-intercept. Where the line crosses the x and y axes, respectively, is where the line's x-intercept and y-intercept are situated.

In this case, you are given both intercepts.

Plot a line from the third x-axis point.

On the y-axis, place the coordinates y = 5.

The necessary line is a straight line that passes through these two places is

y = -\(\frac{5}{3}\)x+5

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Answer: -7.2

Step-by-step explanation:

The vertex form of quadratic equation :\(f (x) = m(x - a)^2 + b,\) where (a,b) is the vertex.

Given: The quadratic function g(x) has a vertex at  (-5, 0).

Put (a,b)= (-5,0) for function g(x), we get

\(g(x)=m(x-(-5))^2+0\\\\\Rightarrow\ g(x)=m(x+5)^2\)

Also, its  y-intercept is (0, -5).

Put x= 0 and g(x) =-5

\(-5=m(0+5)^2\\\\\Rightarrow\ -5=m(25)\\\\\Rightarrow\ m=\dfrac{-5}{25}\\\\\Rightarrow\ m=\dfrac{-1}{5}\)

so, \(g(x)=-\dfrac{1}{5}(x+5)^2\)

For g(1), put x=1

\(g(1)=-\dfrac{1}{5}(1+5)^2\\\\=-\dfrac{1}{5}(6)^2=-\dfrac{1}{5}(36)\\\\=-7.2\)

Hence, g(1) is -7.2.

Answer:

4 is the answer is it right