in the figure below, M || N || Q ||. Find the value of y and x (5x-46)

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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The value of a, b, c, h, k, and foci coordinates are 4, 3, 5, 2, -1, and (5, 0) and (-5, 0) respectively.

It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.

We have given a hyperbola equation:

\(\rm \dfrac{(x-2)^2}{16}-\dfrac{(y+1)^2}{9}=1\)

We know the standard form of a hyperbola is given:

\(\rm \dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1\)

After comparing:

a² = 16 ⇒ a = 4

b² = 9 ⇒ b = 3

\(\rm c^2 = a^2+b^2\\\\\rm c^2 = 16+9 \Rightarrow 25\)

c = 5

(h, k) is the center of the hyperbola:

(h, k) = (2, -1)

Vertices will be (a, 0) and (-a, 0):

(4, 0) and (-4,0)

Foci will be at (c, 0) and (-c, 0):

(5, 0) and (-5, 0)

Thus, the value of a, b, c, h, k, and foci coordinates are 4, 3, 5, 2, -1, and (5, 0) and (-5, 0) respectively.

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The value of a=4 , b=3 , k=-1 and h=2 for the hyperbola having the equation

\(\dfrac{(x-2)^2}{16}-\dfrac{(y+1)^2}{9}=1\)

A hyperbola is the symmetrical open curve formed by the combination of a circular cone with a plane at a minimum angle with its axis than the side of the cone.

Here the general form of the equation of hyperbola will be:

\(\dfrac{(y-k)^2}{b^2}-\dfrac{(x-h)^2}{a^2}=1\)

And we have a equation given as:

\(\dfrac{(x-2)^2}{16}-\dfrac{(y+1)^2}{9}=1\)

By comparing the equation we the solutions

\(a=4 , b=3 , k=-1 \ and\ h=2\)

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Answer:

Ok

Step-by-step explanation:

But where is the question

ok I will help u ask your question

Answer:

36

Step-by-step explanation:

The answer is the absolute value of 31 + (-5)

So it is 36

Answer:

\(40\)

hope this helps you.

Can I have the brainliest please?

Answer:

f(n)=-5-3n

Step-by-step explanation:

Given the recursive formula of a sequence

f(1)=−8

f(n)=f(n−1)−3

We are to determine an explicit formula for the sequence.

f(2)=f(2-1)-3

=f(1)-3

=-8-3

f(2)=-11

f(3)=f(3-1)-3

=f(2)-3

=-11-3

f(3)=-14

We write the first few terms of the sequence.

-8, -11, -14, ...

This is an arithmetic sequence where the:

First term, a= -8

Common difference, d=-11-(-8)=-11+8

d=-3

The nth term of an arithmetic sequence is determined using the formula:

T(n)=a+(n-1)d

Substituting the derived values, we have:

T(n)=-8-3(n-1)

=-8-3n+3

T(n)=-5-3n

Therefore, the explicit formula for f(n) can be written as:

f(n)=-5-3n

Answer:

72+9(n−1)

Step-by-step explanation:

I hope this helps, Its from khan <3

Answer:

Length = 36cm

Width = 12 cm

Step-by-step explanation:

Perimeter = all the sides added up.

Perimeter of a rectangle = L + L + W + W OR  2L + 2W

We are given that the length = 3 times the width. So L = 3W

P = 2L + 2W

96 = 2 (3W) + 2W

96 = 6W +2W

96 = 8W (divide both sides by 8)

W = 12 cm

To find the length-  we know the length is 3 times the width.

So L = 3 x 12 = 36 cm

Number of 7 students have both a dog and a cat, out of the 39 eighth grade students at Lincoln Middle School.

Total number of 8th grade students: 39

Number of students with a dog: 20

Number of students with a cat: 26

Number of students with both a dog and a cat: 20 + 26 - 39 = 7. Therefore, 7 have both a dog and a cat.

There are 39 students in the 8th grade at Lincoln Middle School. Of those students, 20 have a dog, 26 have a cat, and 7 have both a dog and a cat. To calculate this number, we added the number of students with a dog (20) and the number of students with a cat (26) and then subtracted the total number of students (39). The result of this calculation, 7, is the number of students who have both a dog and a cat. This means that 7 out of 39 8th grade students at Lincoln Middle School have a dog and a cat.

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Answer:

x = 34

Step-by-step explanation:

Pytago:

x\(30^{2} + 16^{2} = x^2\\x = \sqrt{30^2 + 16^2} \\x = 34\)

Answer:9a-2

Step-by-step explanation: see photo

Answer: m<5 = 142°

Step-by-step explanation:

The percentage error by calculating by differentials to approximate value of sqrt(99.4) = 0.00045 percentage.

For   percentage error Here first we have to find the value of sqrt(99.4) by  normal calculation and second we will calculate it by differential method then we will find the percentage error .

To approximate sqrt(99.4)  we will  use formula for linear approximation as given below  

f(x) = f(c) + f′(c)(x−c)

and we are dealing with square root so we have to find the f(x) ad here

f(x) = √x

and we will calculate  f'(x)  and here it is

f'(x) = 1/(2√x)

Here, x=99.4 and we choose c =100 because that’s the closest perfect square number to 99.4. so

f(c) = f(100) = √100 = 10

f'(c) = f'(100) =1/(2√100) = 1/20

f(x) =f(c) + f′(c)(x−c)

f(x) = f(99.4)=f(100)+f'(100)(99.4-100)

=10+1/20*(-0.6)

=9.97

Here we find the value by differential = 9.97

and by simple calculation the value is = 9.96995486

ans percentage error = (real value - differential value)/100

= (9.96995486-9.97)/100 = 0.00045 percentage

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Answer:

52%

Step-by-step explanation:

13×4= 52%

You just multiply by 4 to get the percentage

Answer:

c.57

Step-by-step explanation:

1) The equation of the given line is: y = ¹/₃x

2) The equation of the given line is: y = -3x + 4

3) The triangles are similar

4) The triangles are not similar

The formula for the equation of a line between two coordinates is:

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)

1) The two coordinates we will use are:

(-3, -1) and (3, 1)

Thus:

(y + 1)/(x + 3) = (1 + 1)/(3 + 3)

(y + 1)/(x + 3) = 2/6

y + 1 = ¹/₃x + 1

y = ¹/₃x

2) The two coordinates we will use are: (1, 1) and (2, -2)

Thus:

(y - 1)/(x - 1) = (-2 - 1)/(2 - 1)

(y - 1)/(x - 1) = -3/1

y - 1 = -3x + 3

y = -3x + 4

3) For two triangles to be similar, the ratio of their corresponding sides must be equal.

In this case, the ratio of corresponding sides are equal and as such they are similar.

4) The ratio of corresponding sides are not equal and as such they are not similar triangles.

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Answer:

the answer is 2

Step-by-step explanation:

0=4x-8

-4x=-8

x=2

Answer:

x=2

Step-by-step explanation:

the x intercept is where the graph intersects the x axis also called the root of the equation.

y=0 if the graph intersects the x-axis

0= 4x-8; add 8 to both sides

8 = 4x ; divide both sides by 4

2=x

Answer:

Step-by-step explanation:

15

The multiplication expression with eight rational factors are ''positive''.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Jared writes a multiplication expression with eight rational factors. Half of the factors are positive and half are negative.

Since, Multiplication of four positive numbers are always gives a positive number and multiplication of four negative numbers are always gives a positive number.

Hence, The multiplication expression with eight rational factors are positive.

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Answer:

G ) is the incorrect one

Step-by-step explanation:

n and m are parrallel they will never touch or come close to becoming penperdicular .

Answer:

4,000

Step-by-step explanation:

If there is 4 liters and 1,000 milliliters is in each liter then the answer would be 4,000. As for this you just do 1,000 x 4 because there is 4 liters.

Answer:

4000 ml

Step-by-step explanation:

The valid null or alternative hypothesis for the given scenario is Io : µ = 14 (option a).

In this scenario, a cereal manufacturer is testing a sample of 50 boxes of cereal to see if the average weight per box is 14 ounces. The null hypothesis (Io) is a statement that assumes there is no significant difference between the observed sample mean and the hypothesized population mean.

Out of the given options, the valid null hypothesis would be option a. Io : µ = 14. This hypothesis assumes that the mean weight per box of cereal in the population is 14 ounces, which is the hypothesized value.

The alternative hypothesis, in this case, would be Ha = µ ≠ 14, which assumes that the mean weight per box of cereal in the population is significantly different from the hypothesized value of 14 ounces.

So, the correct option is (a).

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Answer:

1/2

Step-by-step explanation:

The chance of getting a odd number is 1 in 2 chances because a die has 6 sides and there are 3 even numbers and 3 odd numbers so the ratio is 1:2

Answer:

b = 12

Step-by-step explanation:

15 - 2b = -9

Minus 15 to both sides

-2b = -24

Divide both sides by -2

b = 12

Answer:

Right angles is 90° so 90°+30°=120°.A straight line is 180°. So you do 180°-120° which is 60. So A=60°

Answer:

14.50 cm

Step-by-step explanation:

Based on the midsegment theorem:

The midsegment connecting two sides of triangle is parallel to the third side of the triangle and the length of the midsegment line is half the length of the third side parallel to the midsegment.

From the diagram ;

QR // ZY

XY = 2 * 2.93 = 5.86

RS // XZ

XZ = 2 * 2.04 = 4.08

QS // XY

XY = 2 * 2.28 = 4.56

The perimeter :

(XY + XZ + XY)

5.86 + 4.08 + 4.56

= 14.50 m

Answer:

d

Step-by-step explanation:

The northerly component of the wind blowing at 15 m/s from the South East is approximately 10.605 m/s.

To determine the northerly component of a wind blowing from the South East, we need to consider the direction from which the wind is coming and its magnitude.

A wind blowing from the South East means it is coming from the South East direction towards the opposite direction, which is the North West. Since the wind is coming from the South East, we can say it has a southeasterly direction.

To find the northerly component, we need to break down the wind vector into its north and east components. The northerly component represents the part of the wind that is directed towards the north.

If we assume that the wind is blowing at an angle of 45 degrees with respect to the North, we can use trigonometry to find the components. Since the wind is blowing at 15 m/s, we can consider it as the hypotenuse of a right triangle.

The northerly component can be found using the sine of the angle:

Northerly Component = Wind Speed * sin(Angle)

Northerly Component = 15 m/s * sin(45°)

Using the value of sin(45°) (which is √2 / 2 ≈ 0.707), we can calculate the northerly component:

Northerly Component ≈ 15 m/s * 0.707

Northerly Component ≈ 10.605 m/s

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The required value of the expression in the fractional exponent is given as \(x^{3/2}\times y^{1/3}\).

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
In the question,
The given expression is,
= √x³ × ∛y

Now, in the expression, the means of the square root is the base value has the exponent of 1/2, and the cube root means that the base has an exponent value of 1/3 So,
= \((x^3)^{1/3}\times y^{1/3}\)
= \(x^{3/2}\times y^{1/3}\)

Thus, the required value of the expression in the fractional exponent is given as \(x^{3/2}\times y^{1/3}\).

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Answer:

See below ↓↓↓↓

Step-by-step explanation:

1.

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3.

4.