use substitution to solve the system of equations

The perimeter of the card is 32 centimeters. Perimeter of a square is given by 4x, where x is the length of each side of the square.

Perimeter of a square is given by 4x, where x is the length of each side of the square.

In this case, x=4.

Therefore, the perimeter of the card is 4x = 4(4) = 32.

The perimeter of a square is determined by multiplying the length of each side by 4. In this case, the length of each side of the square tank you card is x=4. Therefore, the perimeter of the card can be calculated by multiplying 4 with 4 which is equal to 32 centimeters. This means that the perimeter of the tank you card when x=4 is 32 centimeters.

Perimeter of a square is given by 4x, where x is the length of each side of the square.

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Answer:

y = -3/4x + 9

Step-by-step explanation:

first, find the slope by taking the difference of the y-values / difference of the x-values

(-3-12) / (16-(-4)) which equals -15/20 or -3/4

now use that value to represent the 'm' in the formula in order to find 'b'

y = mx + b

-3 = -3/4(16) + b

-3 = -12 + b

9 = b

y = -3/4x + 9

Answer:

Sinigang is a sour soup native to the Philippines. This recipe uses pork as the main ingredient. Other proteins and seafood can also be used.

Step-by-step explanation:

Answer: 1. A, B, D, 2. A, D

Step-by-step explanation:

Substitute the points into the equation:

1. A, B, D,

2. A, D

Answer:

In standard position, the terminal ray of angle A passes through the point (10,-4) on the coordinate plane. The distance of the point (10, -4) from the origin (0,0) is the hypotenuse of a right triangle. The horizontal distance of the point from the y-axis is the x-coordinate, which is 10, and the vertical distance of the point from the x-axis is the y-coordinate, which is -4.

The secant of an angle is the ratio of the hypotenuse (c) to the adjacent side (a). In this case, the hypotenuse is the distance between the point (10, -4) and the origin (0,0) and the adjacent side is the x-coordinate which is 10.

So sec(A) = c/a = √(10² + (-4)²)/10 = √(100+16)/10 = √116/10 = √29/5

So sec(A) = √29/5 which is the simplified form.

Answer: i might be wronge but 9x - 4 / x^2

Step-by-step explanation:

When expressed in "vertex form," the parabola's vertex is (h, k), and the axis of symmetry is x = h. The h stands for a horizontal shift, or how far the graph has moved left or right from x = 0. The k value for a vertical shift, or how high or low the graph has moved in relation to y = 0.

It is important to understand that what a quadratic equation can only have equal and real roots if its discriminant equals zero. To prevent errors and ensure that we obtain the proper answer for K, we need carefully employ the discriminant formula for a quadratic equation.

The equation of the second degree is a quadratic equation. This indicates that it contains a phrase that is squared, at least once. ax² + bx + c = 0, which uses constants or numerical coefficients for the variables a, b, and c, is one of the classic formulae for solving quadratic equations. Unknown variable 'x' is used here.

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Answer:

Step-by-step explanation:

thats hard

No triangle can be drawn having angles of 45°, 60° and 85°. This is because the sum of the angles of a triangle must equal 180°, and 45° + 60° + 85° = 190°.

No triangle can be drawn having angles of 45°, 60° and 85°. This is because the sum of the angles of a triangle must equal 180°, and 45° + 60° + 85° = 190°. A triangle is a three-sided polygon, with each side connected to the other two in a closed shape. All angles in a triangle must add up to 180° for the shape to be complete. If the angles in a triangle do not add up to 180°, then it is not a triangle, and cannot exist. Therefore, it is not possible to draw a triangle with angles of 45°, 60° and 85°, as the sum of these angles is 190°, which is greater than the 180° required.

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The formula for the distance:

the distance (d) between two points x1, x2 is d = x2 - x1, where x2 > x1

We know that the distance is nothing but the length between 2 points.

It is measured in units of length.

For example, the distance between x = 5 and x = 8 on the x-axis of the is given by 8 - 5 = 3 units.

If we know the coordinates of the points then the distance between two poinnts is given by the distance formula.

For points p1, p2 with coordinates p1 = (x1, y1) and p2 = (x2, y2)

Using distance formula the distance (d) between points p1 and p2 is:

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

The distance formula is an appliation of Pythagoras theorem.

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Answer:

2.65

Step-by-step explanation:

Using a calculator's square root key, we get √7 = 2.64575....

To the nearest hundredth, that'd be √7 = 2.65.

When solving a linear equation with x on both sides, you can have one, none, or infinite solutions.

What is the linear equation?

A linear equation is an equation that represents a straight line when graphed. It is an equation that can be written in the form of ax + b = 0, where a and b are constants and x is a variable.

When solving a linear equation with x on both sides, you can have one, none, or infinite solutions. This is option C. Linear equations can have one solution, when the equation has a unique value of x that makes the equation true. It can have no solutions when the equation is contradictory, meaning that no value of x can make the equation true. It can also have infinite solutions, when any value of x makes the equation true, typically represented by the equation being an identity.

Hence, When solving a linear equation with x on both sides, you can have one, none, or infinite solutions.

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No, a triangle cannot have 2 obtuse angles as the sum of the angles of a triangle is 180.

An angle is a space shared by two rays that are joined at the same vertex. We can find different types of angles according to their amplitude.

If the amplitude is larger than 90º (90 degrees) and less than 180º (180 degrees) that tells us that it is an obtuse angle.

An obtuse angle is also defined as an angle that is formed when a ray rotates between 90º and 180º around a point.

Visually, this angle is more than a quarter of a circle but less than half of a circle. So, if we divide a circle into four parts, an obtuse angle will always occupy between 1/4 and 1/2 of a circle.

Thus, a triangle cannot have 2 obtuse angles as the sum of the angles of a triangle is 180.

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The speed of the car is 100 kilometers per hour, since it traveled 200 kilometers in 2 hours.

Speed = Distance/Time

Speed = 200 kilometers/2 hours

Speed = 100 kilometers/hour

The speed of a car is determined by dividing the distance traveled by the amount of time it took to travel that distance. In this case, the car traveled 200 kilometers in 2 hours. To calculate the speed of the car, we divide the distance (200 kilometers) by the time (2 hours). This gives us 100 kilometers per hour, which is the speed of the car. In other words, the car traveled 100 kilometers in 1 hour.

The speed of a car is an important factor in determining how fast a car can go. It is also important to consider other factors such as the weight of the car, the type of fuel it uses, and the road conditions. All of these factors can affect the speed of the car and should be taken into account when calculating the speed of a car. Knowing the speed of the car can help drivers make better decisions about their speed and can help prevent accident

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Farmer brown had ducks and cows having a total of 13 heads and 46 feet, which means there are 10 cows and 3 ducks.

This is an algebraic problem that can be solved using a system of equations.

Let x be the number of cows and y be the number of ducks. We know from the problem statement that:

x + y = 13 (the number of heads)

4x + 2y = 46 (the number of feet)

We can use the first equation to solve for one of the variables in terms of the other.

For example, if we subtract y from both sides of the equation we get:

x = 13 - y

We can substitute this expression for x into the second equation:

4(13 - y) + 2y = 46

Simplifying, we get:

52 - 4y + 2y = 46

which gives us:

-4y = -6

then we get:

y=3

Now we can use this value of y to solve for x in terms of y:

x = 13 - y

x = 13 - 3

x = 10

Therefore, there are 10 cows and 3 ducks.

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If line segment FG = - 4x+34 and line segment CD = 48-4X, the measurement of CD is equal to: D. 28.

In Mathematics, the midpoint theorem states that in a triangle, the line segment which joins the midpoints of any two (2) sides of the triangle must be parallel to the third side and congruent to half of the length of the third side.

By applying the midpoint theorem to triangle CDE, the measurement of CD can be calculated as follows;

CD = 2(FG)

48 - 4x = 2(-4x + 34)

Next, we would open the bracket by applying the distributive property;

48 - 4x = -8x + 68

8x - 4x = 68 - 48

4x = 20

x = 20/4

x = 5.

Now, we can calculate the measurement of CD in triangle CDE;

CD = 48 - 4x

CD = 48 - 4(5)

CD = 48 - 20

CD = 28

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The given equation is of form : x1+x2+...+xn = k, where x1>=m1, x2>=m2 and so on, this is typical equation which can be mapped to questions like :

Q)You have n candies and you want to distribute it to k children where each child gets at least m candies or in other words n same candies in k different boxes, where each box must have certain number of candies.

In your case m1=m2=...=mn= 0(or 1 based on your definition of natural numbers, lets first solve for condition where lower bound is 0).

This solution is simple, (n-1+k C k) which gives (3-1+11 C 11) = 78 as answer.

Now, the case for which we start natural numbers with 1 :

First we need to reduce it to previous formula. This can be done by making the lower bounds as 0 or to say lets first distribute minimum number of candies to children.Now we are left with k-m1-m2...-mn candies, so equation reduces to :

x1+x2+...+xn = k-m1-m2...-mn

or in your case x1+x2+x3 = (11-3) = 8

Now, using the previous formula (3-1+8 C 8) = 45.Which is required solution.

A linear equation in two variables is an equation of the form ax + by + c = 0 where a, b, c ∈ R, a, and b ≠ 0. When we consider a system of linear equations, we can find the number of solutions by comparing the coefficients of the variables of the equations. Also, we can find the number of solutions by the graphical method.

Consider the pair of linear equations in two variables x and y.

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

Here a1, b1, c1, a2, b2, c2 are all real numbers.

Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0

1. If (a1/a2) ≠ (b1/b2), then there will be a unique solution. If we plot the graph, the lines will intersect. This type of equation is called a consistent pair of linear equations.

2. If (a1/a2) = (b1/b2) = (c1/c2), then there will be infinitely many solutions. The lines will coincide. This type of equation is called a dependent pair of linear equations in two variables

3. If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution. If we plot the graph, the lines will be parallel. This type of equation is called an inconsistent pair of linear equations.

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Opportunity cost increases along the production possibility frontier because of the principle of diminishing returns.

Diminishing returns refer to the fact that as we allocate more resources to the production of one good, the marginal productivity of those resources decreases. In other words, as we produce more of one good, it becomes increasingly difficult and costly to produce additional units of that good.

As we move along the PPF, we are producing more and more of one good and less and less of the other. The resources that were previously used to produce the other good are now being used to produce more of the first good. As we move along the PPF, we are sacrificing more and more of the second good in order to produce additional units of the first good, and this is reflected in the opportunity cost. The opportunity cost of producing one good increases as we move along the PPF.

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The MLE’s of the means of X and Y in a bivariate normal distribution, given the variances of X and Y and the correlation between X and Y, can be found by solving the equations ∑(Xn-µx)/σx2 = 0 and ∑(Yn-µy)/σy2 = 0 for µx and µy. The solutions are µx = (1/n)∑Xn and µy = (1/n)∑Yn.

Let µx and µy be the means of X and Y, respectively.

The MLE of µx and µy can be found by maximizing the joint likelihood function:

L(µx, µy) = (2πσxσy√(1-ρ2))-n/2  exp{-1/2[∑(Xn-µx)2/σx2 + ∑(Yn-µy)2/σy2 - 2ρ(∑(Xn-µx)(Yn-µy)/(σxσy))]}

Taking the partial derivatives of L with respect to µx and µy and setting them to zero yields the equations

∑(Xn-µx)/σx2 = 0

∑(Yn-µy)/σy2 = 0

Solving these equations yields the MLE’s of µx and µy:

µx = (1/n)∑Xn

µy = (1/n)∑Yn

The MLE’s of the means of X and Y in a bivariate normal distribution, given the variances of X and Y and the correlation between X and Y, can be found by solving the equations ∑(Xn-µx)/σx2 = 0 and ∑(Yn-µy)/σy2 = 0 for µx and µy. The solutions are µx = (1/n)∑Xn and µy = (1/n)∑Yn.

The complete question is :

Suppose that the two-dimensional vectors (X1, Y1), (X2, Y2),. , (Xn, Yn) form a random sample from a bivariate normal distribution for which the means of X and Y are unknown but the variances of X and Y and the correlation between X and Y are known. Find the M. L. E. ’s of the means of X and Y.

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Composite figure has an area of 10.5 + 7.25π square units. (Correct choice: D)

Composite figure are the result of combining two or more geometric figures. In this case we find a composite figure that is a combination of a semicircle and a right triangle, whose area formulas are described below:

Right triangle

A = 0.5 · w · l

Semicircle

A = (π / 8) · D²

Where:

First, determine the diameter of semicircle by Pythagorean theorem:

D = √(7² + 3²)

D = √58

Second, determine the area of the right triangle:

A = 0.5 · 7 · 3

A = 10.5

Third, calculate the area of semicircle:

A' = (π / 8) · (√58)²

A' = 7.25π

Fourth, find the area of composite figure:

A'' = A + A'

A'' = 10.5 + 7.25π

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Answer:

7ft and 9ft need to be replaced

Step-by-step explanation:

in the image its clear that the length for 9ft seems too short and the length for 7ft seems too long so they have switched places

(A) Approximately 65.85% of the survey respondents did not like either hamburgers or burritos.

(B) Approximately 26.36% of the students who like hamburgers also like burritos.

(C) The association between liking burritos and not liking hamburgers has the strongest association of its two factors.

Part A:

To find the percentage, we divide the number of respondents who do not like either by the total number of respondents and then multiply by 100:

[tex]\dfrac{135} { 205} \times 100 = 65.85\%[/tex]

Part B:

To find the percentage, we divide the number of respondents who like both by the total number of respondents who like hamburgers and then multiply by 100:

[tex]\dfrac{29} { 110} \times 100 = 26.36\%[/tex]

Part C: .

By examining the table, we can determine that the strongest association of its two factors is between the respondents who like burritos and do not like hamburgers, and the respondents who do not like burritos and do not like hamburgers.

The conditional relative frequency for respondents who like burritos and do not like hamburgers is:

[tex]\dfrac{41} { 110} \times 100 = 37.27\%[/tex]

The conditional relative frequency for respondents who do not like burritos and do not like hamburgers is:

[tex]\dfrac{54} { 205} \times 100 = 26.34\%[/tex]

Comparing these two conditional relative frequencies, we can see that the association between liking burritos and not liking hamburgers has a stronger association compared to not liking burritos and not liking hamburgers.

Therefore, the association between liking burritos and not liking hamburgers has the strongest association of its two factors.

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The location of the vertices of the image of the rectangle WXYZ, following the dilation and reflection transformations are;

a. (-7, 5), (-4, 5), (-4, 3), (-7, 3)

b. (7, 5), (4, 5), (4, 3), (7, 3)

A dilation transformation involves the scaling of the dimensions of of the pre-image to get the dimensions of the image.

The points on the rectangle WXYZ are;

W(-7, 2), X(5, 2), Y(5, -6), and Z(-7, -6)

The scale factor of the dilation = 1/4

The center of dilation = (-7, 6)

The steps to perform the calculation of the dilation are as follows;

The coordinates of the rectangle following a translation rule of (7, -6) are;

W(-7, 2) ⇒ T₍₇, ₋₆₎ ⇒ W'(0, -4)

X(5, 2) ⇒ T₍₇, ₋₆₎ ⇒ X'(12, -4)

Y(5, -6)  ⇒ T₍₇, ₋₆₎ ⇒ Y'(12, -12)

Z(-7, -6) ⇒ T₍₇, ₋₆₎ ⇒ Z'(0, -12)

Dilating the image W'X'Y'Z' by a scale factor of 1/4, centered at the origin, we get;

W'(0, -4) ⇒ [tex]D_{1/4}[/tex]  ⇒ W''(0, -1)

X'(12, -4), ⇒ [tex]D_{1/4}[/tex]  ⇒ X''(3, -1)

Y'(12, -12)  ⇒ [tex]D_{1/4}[/tex]  ⇒ Y''(3. -3)

Z'(0, -12)    ⇒ [tex]D_{1/4}[/tex]  ⇒ Z''(0, -3)

Translating the above points, using the rule, (-7, 6), we get;

W''(0, -1)  ⇒ T₍₋₇, ₆₎  ⇒ W'''(-7, 5)

X''(3, -1)  ⇒ T₍₋₇, ₆₎  ⇒ X'''(-4, 5)

Y''(3. -3)  ⇒ T₍₋₇, ₆₎  ⇒ Y'''(-4, 3)

Z''(0, -3)  ⇒ T₍₋₇, ₆₎  ⇒ Z'''(-7, 3)

The coordinates of the rectangle WXYZ following the dilation by a scale factor of 1/4 with the center of dilation at (-7, 6) are;

b. The image following the reflection of a point (x, y), over the y-axis is (-x, y)

The coordinates of the image after a reflection across the y-axis are;

W'''(-7, 5) ⇒ [tex]R_{y-axis}[/tex] ⇒ W''''(7, 5) = R(7, 5)

X'''(-4, 5) ⇒ [tex]R_{y-axis}[/tex] ⇒ X''''(4, 5) = S(4, 5)

Y'''(-4, 3) ⇒ [tex]R_{y-axis}[/tex] ⇒ Y''''(4, 3) = T(4, 3)

Z'''(-7, 3)⇒ [tex]R_{y-axis}[/tex] ⇒ Z''''(7, 3) = U(7, 3)

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Answer:

A

Step-by-step explanation:

A

first add the distanity of the hours and miles next add the numbers in the chart then divide and subtract the final number

Answer:

The graph of g(x) will be shifted 4 units up and 1 unit to the right

Step-by-step explanation:

The parent function f(x) = x^3 is transformed to g(x) = (x – 1)^3 + 4

Parent function f(x)= x^3

If any number is added at the end then the graph will be shifted up

If any number is subtracted from x then graph will be shifted right

f(x)----> f(x) + a (shifted 'a' units up)

f(x) ----> f(x-a) (shifted 'a' units right)

g(x) = (x – 1)^3 + 4

The graph of g(x) will be shifted 4 units up and 1 unit to the right

the graph is attached below

Answer:

22

Step-by-step explanation:

Answer:

-1 43/56

Step-by-step explanation:

Answer:

-99/56

Step-by-step explanation: i used my calc

Answer:

D is similar, because if you slightly turn it around it will shape out like a diamond as how the bottom one is set