Find the equation of a line parallel to y=4x+2 that contains the point (−2,−3). Write the equation in slope-intercept form.

The value of the variable x = 21/32

Algebraic expressions are simply described as expressions that are composed of variables, coefficients, terms, constants and factors.

These expressions are also made up of certain arithmetic or mathematical operations.

These operations includes;

From the information given, we have that;

3/8=4/7x

cross multiply the values, we have;

7x(3) = 8(4)

multiply the values and expand the brackets, we get the values;

21x = 32

Divide both sides by the coefficient of the variable x, we get;

x = 32/21

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The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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Answer:

Step-by-step explanation:

step one:

the question does not seem to state completely what it was meant to sate, nontheless we can proceed with the given information

the problem is on fraction, ratio and percentage.

step two:

we can actually find the percentage equivalent of a fraction by simply dividing the numerator by the denominator and multiply the resulting decimal by 100

step three:

we have

=1/8*100

=0.125*100

=12.5%

The percent equivalent is 12.5%

Answer:

it's a hope this helps have a great day

Answer:

A. 1 1/2, -7/8, -1/2, 1/2

Step-by-step explanation:

Answer:

yes ASA

Step-by-step explanation:

Answer:

35/36

Step-by-step explanation:

5/9 + 5/12 =

We need to get a common denominator of 9 and 12, which is 36.

5/9 * 4/4 = 20/36

5/12 * 3/3 = 15/36

20/36 + 15/36

35/36

Ali's strategy is essentially the same as Mary's strategy. Both strategies estimate the HST as 15% of the price. However, Mary's strategy involves taking half of 10% of the price.

Mary suggests estimating the HST in Ontario as finding 10% of the price, taking half of this answer and adding the two. Ali proposes finding 10% of the price, then 5% of the price and adding the two answers.

Their strategies differ in the way they approach finding the estimate, but both methods can be used to arrive at the same result.

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The HST in Ontario is 13%, which can be estimated using 15%. Mary tells Ali that it can be estimated as: find 10% of the price, take a half of this answer and add the two. Ali tells Mary that he thinks they should find 10% of the price, then 5% of the price and add the two answers. Compare their strategies.

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

The value of the expression a - b + c + d will be 7.

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

The system of equations are given below.

5x + 7y = 7

3x - 2y = 9​

Then the equations can be written in the form of matrix. Then we have

\(\begin{bmatrix}5 & 7 \\3 & -2 \\\end{bmatrix} \begin{bmatrix}x \\y \\\end{bmatrix} = \begin{bmatrix}7 \\9 \\\end{bmatrix}\)

Then the value of a, b, c, and d will be

a = 5, b = 3, c = 7, and d = -2

Then  the value of the expression will be

a - b + c + d = 5 - 3 + 7 - 2

a - b + c + d = 12 - 5

a - b + c + d = 7

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Answer:

no such about what you are saying to me

Answer:

39 3/8 ft ^2

Step-by-step explanation:

To find the area of a rectangle, multiply the length times the width.

A = l*w

  = 7 1/2  * 5 1/4

Change the mixed numbers to improper fractions.

A = 15/2 * 21/4

    =315/8

Change back to a mixed number.

8 goes into 315 39 times with 3 left over.

 = 39 3/8

Answer:

(you can round to 39.4)

Step-by-step explanation:

Find the area of the rectangle shown

7 1/2 ft

5 1/4ft

7 1/2 = 7.5 ft

5 1/4 = 5.25 ft

Area = L x W

Area = 7.5 x 5.25

Area = 39.375

i need the terms and definitions to answer this-

Answer: 22.4402

Step-by-step explanation:

Answer:

84.4% of 23 is 19.412.

Step-by-step explanation:

Let the unknown number be x.

Now, 84.4% of x = 19.412.

∴ (84.4 ÷ 100) × x = 19.412.

By simplifying the equation,

x = (19.412 × 100) ÷ 84.4

x = 1941.2 ÷ 84.4

∴ x = 23

Thus, 84.4% of 23 is 19.412.

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Answer:  each brace is 2 & 2/3 inches long

=====================================================

Explanation:

"he cuts 4 feet from a board that's 8 feet long" means that he has 8-4 = 4 feet to work with. This converts to 4*12 = 48 inches.

Next, we cut that into 18 equal pieces

48/18 = 8/3 = 2 & 2/3

This is approximately 2.667 inches

The sequence that lists the sides of the given triangle STU in order from shortest to longest is, US<ST<UT.

The three types of triangles based on their sides are: equilateral, isosceles and scalene.

The three types of triangles based on their angles are: acute, right and obtuse.

To find the sequence of length from shortest to longest we first need to find the missing angle S,

we're given,  

angle U = 65

angle T = 45

Using the property of sum of interior angles of a traingle,

U + T + S = 180 degrees

or, 65 + 45+ S =180

therefore, S = 70

As we know the side opposite to the largest angle is the longest, hence the sequence becomes, US<ST<UT.

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Answer:

its always the third one

Step-by-step explanation:

Have a good day

Answer:

I would say 32 but I'm not sure

Step-by-step explanation:

Answer:

all incorrect

Step-by-step explanation:

I did it in my head so I'm sorry if wrong

Answer:

The last one is incorrect

Step-by-step explanation:

-4c^2 - 2c^2 = -6c^2

9c - c = 8c

9c - c is equal to 8c so that means the polynomial is wrong since they put 10c instead of 8c.

\(let \: x \: be \: the \: length \\ let \: y \: be \: the \: width\)

\(perimeter = 2x + 2y \\ area = xy\)

\(2x + 2y = 80 \\ xy = 380 \\ \\ x + y = 40 \\ xy = 380 \\ \\ x = 40 - y \\ (40 - y)y = 380 \)

\(40y - y {}^{2} = 380 \\ y {}^{2} - 40y + 380 = 0 \\ y {}^{2} - 40y + 400 = 20 \\ (y - 20) {}^{2} = 20 \\ y - 20 =± \sqrt{20} \\ y_{1}=20-√20≈15.52786\\ y_{2}=20+√20≈24.4721\)

Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

Applying the tangent ratio, the value of x in the image, rounded to the nearest thousandth is: 15.824.

The tangent ratio, commonly referred to as "tangent," is a trigonometric function that relates the ratio of the length of the side opposite an angle to the length of the side adjacent to that angle in a right triangle. It is expressed as:

tan (∅) = opposite/adjacent

We have the following:

Reference angle (∅) = 53 degrees

Length of opposite side = 21

Length of adjacent side = x

Plug in the values:

tan 53 = 21/x

x * tan 53 = 21

x = 21 / tan 53

x = 15.824

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Answer:

Are you sure?

None

Step-by-step explanation:

A. x= -3 , y= 3

x + y =

-3 + 3 = 0

B. x= -3 , y= -3

x + y =

-3 + -3 = -6

C. x= 3 , y= 3

x + y =

3 + 3 =6

D. x= 3 , y= -3

x + y =

3 + -3 = 0

Answer:

x^2

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

The True- False of given statements of Solutions of Equations are justified.

1.13 False. The solution set to a system of three equations in three unknowns can be a point, a line, or a plane. It depends on the system of equations and how they intersect in three-dimensional space.

1.14 False. A system of linear equations can have infinitely many solutions, one solution, or no solutions. It depends on the coefficients of the equations and the rank of the coefficient matrix.

1.15 False. The solution set to a consistent rank 2 linear system in four unknowns would be a plane in four-dimensional space, not a line.

1.16 False. A system of four equations in four unknowns may not have a solution, or it may have infinitely many solutions or one solution. It depends on the coefficients of the equations and the rank of the coefficient matrix.

1.17 False. A system of four equations in four unknowns can have infinitely many solutions or one solution, but it cannot have at most one solution.

1.18 True. The rank of a system is always less than or equal to the number of equations in the system.

1.19 (a) False. If (i) has exactly one solution, it does not necessarily mean that (ii) will have exactly one solution. It depends on the coefficients of the equations in (ii).

(b) False. If the solution set of (i) is a line, it does not necessarily mean that the same is true for (ii). It depends on the coefficients of the equations in (ii).

(c) True. If (i) has no solutions, then the same is true for (ii), since (ii) is equivalent to (i).

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Answer:

The numbers are 6 and 7.

Step-by-step explanation:

4² = 16

5² = 25

6² = 36

7² = 49

√36 = 6

√42 = ?

√49 = 7

The numbers are 6 and 7.

Answer:

hindi ko po maintin dihan sorryyyyyyyyyy

Step-by-step explanation:

Improper fractions have a numerator that is larger than the denominator

1 = 6/6

 so  1  1/6  = 7/6

One can be able to  test to see if a diagram made using digital tools is a construction or just a drawing based on estimation by:

Digital Construction is known to be a term that connote  the act of using digital technologies to be able to make construction to be more better and  with higher quality.

Note that  a lot of the new technologies have been seen to have proven themselves and gives  a lot of opportunities for the construction,

In the use of the digital tools, one can Construct a line or a line segment and then uses the move tool to drag some points around, and then watch to see what happens.

Therefore,  One can be able to  test to see if a diagram made using digital tools is a construction or just a drawing based on estimation by:

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The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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