which of the following represents an equation of a line parallel to one whise equation is 2y+8x=18?1) y = -4x-32) y =4x+73) y =8x-24) y= 8x+9

Answer:

Quadrilateral: 20.5 units

Triangle: 8.6 units

Step-by-step explanation:

Quadrilateral:
We can use the following formula to find the perimeter of a quadrilateral.

Perimeter = AB + BC + CD + DA

where AB, BC, CD, and DA are the lengths of the four sides of the quadrilateral.

In your case, the coordinates of the vertices of the quadrilateral are A(-3,-1), B(-3,3), C(2,3), and D(4,-1).

Using the distance formula, we can find the lengths of the four sides of the quadrilateral as follows:

\(AB = \sqrt{(-3 - (-3))^2 + ((-1) - 3)^2} = \sqrt{16} = 4\)

\(BC = \sqrt{(-3 - 2)^2 + ((3) - 3)^2} = \sqrt{25}= 5\)

\(CD = \sqrt{(2 - 4)^2 + ((3) - (-1))^2} = \sqrt{4+16} = 2\sqrt{5}\)

\(DA = \sqrt{(4 - (-3))^2 + ((-1) - 1)^2} = \sqrt{49} =7\)

Therefore, the perimeter of the quadrilateral is:

Perimeter = AB + BC + CD + DA

= \(4+5+2\sqrt5+7=20.5\) units

Triangle

The perimeter of a triangle is the total length of all three sides of the triangle. To find the perimeter of a triangle, we can use the following formula:

Perimeter = AB + BC + CA

where AB, BC, and CA are the lengths of the three sides of the triangle.

In your case, the coordinates of the vertices of the triangle are

E(-4,1), F(-2,3), and G(-2,4). Using the distance formula, we can find the lengths of the three sides of the triangle as follows:

\(EF = \sqrt{(-4 - (-2))^2 + ((1) - (3))^2} = 2\sqrt{2}\)

\(FG = \sqrt{(-2 - (-2))^2 + ((3) - (4))^2} = 1\)

\(EG = \sqrt{(-4 - (-2))^2 + ((1) - (4))^2} = \sqrt{4 + 9} = \sqrt{13}\)

Therefore, the perimeter of the triangle is:

Perimeter = EF + FG + EG

= 4 + 1 + \(\sqrt{13}\)

=8.6 units

Therefore, the perimeter of the quadrilateral is 20.5 units and the perimeter of the triangle is 8.6 units

Answer:

62% 0f 450 is 279

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

4. The strength of class V is 300

5. Meenakshi bought a TV for Rc 46,000

Step-by-step explanation:

4. To round to the nearest hundred, check the number in the 'tens'. If its five or greater, round up, and if its lower than 5, round down. In this case it was 7, so we rounded up to 300.

5. To round to the nearest thousand, check the number in the 'hundreds'. If its five or greater, round up, and if its lower than 5, round down. In this case it was 3, so we rounded down to 46,000.

The Answers

1. -2.65

2. 5.128

Answer:

-2.65

5.128

Step-by-step explanation:

-5.3*0.5 = -2.65

-512.8(-0.01)

-512.8 * -0.01 = 5.128

(two negatives multiplied cancel out to create a positive)

Answer:

The committee of 8 members can be selected in 990,675 different ways.

Step-by-step explanation:

The order in which the teachers and the students are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this question:

4 teachers from a set of 6.

4 students from a set of 37.

Then

\(T = C_{6,4}C_{37,4} = \frac{6!}{4!2!} \times \frac{37!}{4!33!} = 990675\)

The committee of 8 members can be selected in 990,675 different ways.

Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week \(\sf = 19 \times 40 = \$760\)

Now, according to option b, he will get 8% commission on weekly sales.

Let. x = the amount of weekly sales.

To earn the same amount of option A, he will have to equal the 8% of x to $760

So, \(\sf \dfrac{8x}{100}=760\)

Or, \(\sf 8x= 76000\)

Or, \(\sf x= \dfrac{76000}{8}=9500\)

the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.

Answer:

Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88

Alice spent $227.88 on 12 shirts

Step-by-step explanation:

Answer:

Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88

Step-by-step explanation:

Answer:

look here

Step-by-step explanation:

465=150+150+150+15

150=10*15

15=1*15

10+10+10+1=31

Step-by-step explanation:

g=m+13

g+m=113

use substitution

Answer:

50 years old

Step-by-step explanation:

Let's say that Mikhail's age is x.

If so, Gabrielle's age would be 13 years older, therefore x + 13

We know that the sum of their ages is 113, so we can form this equation:

x + x + 13 = 113

Solving this equation, we get:

x + x = 100

2x = 100

x = 50

50 is Mikhail's age, so Gabrielle's age is 63

Answer:

7 + 2 = 9, so AC = 7/9 and CD = 2/9

1 + 2 = 3, so AB = 1/3 = 3/9 and

BD = 2/3 = 6/9

AB + BC = AC

3/9 + BC = 7/9, so BC = 4/9

AB:BC:CD = (3/9):(4/9):(2/9) = 3:4:2

Answer:52-12=$40

1/8*40 = 5 hours.

Step-by-step explanation:

The value of tan 2π/3 without calculator is -√3.

The value of tan 2π/3 without calculator is calculated by applying trig identities as follows;

the value of π = 180 degrees

So we can replace the value of π in the function with 180 degrees as follows;

tan ( 2π / 3) = tan (2 x 180 / 3)

tan (2 x 180 / 3) = tan (2 x 60)

tan (2 x 60) = tan (120)

tan (120) if found in the second quadrant, and the value will be negative since only sine is positive in the second quadrant.

tan (120) = - tan (180 - 120)

= - tan (60)

= -√3

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The table is a function, the graph is a function, but the mapping diagram is not a function.

What is a function?

Any statement, rule, or law in mathematics that specifies the connection between an independent variable and a dependent variable. In mathematics and the sciences, functions are fundamental for constructing physical connections.

In the given table and graph, each input value is paired with only one output variable, so the relation given in these are functions. But in the mapping diagram two inputs are paired with more than one output, so it is not a function.

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The value of x in the similar triangle is 6 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Therefore, let's use the similarity ratio to find the value of x in the similar triangle as follows:

Hence,

5 / 40 = x / 48

48 × 5 = 40x

240 = 40x

divide both sides by 40

x = 240 / 40

x = 6

Therefore,

x = 6

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Answer:

Nominal Interest Rate: Does not consider inflation  provides a sense of  purchasing power

Real Interest Rate: It describes the stated interest rate on  an account  and also considers inflation

Step-by-step explanation:

Real interest rate  can be defined as the Nominal interest rate minus the inflation rate.

Nominal Interest Rate is the interest rate without taking into account the inflation

Answer:

NOMINAL INTEREST RATE:

1. The stated interest rate on an account.

2. Does not consider inflation.

3. Reflects the actual monetary amount earned

amount earned

REAL INTEREST RATE :

1. Considers inflation.

2. Reveals purchasing power.

3. Can be negative

Step-by-step explanation:

I literally just took this quiz and got them all correct.

Answer:

48 hours

Step-by-step explanation:

6 workers = 72 hours

1 worker = 72×6

= 432 hours

9 workers = 432/9

= 48 hours

Answer:his mom sounds like a push over

Step-by-step explanation: she’s limiting his video games dude

Answer:

Step-by-step explanation:

regular decagon = all side equal and all angles congruent, so your answer is 144°

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The two lines are parallel, so do not intersect. There is no solution.

Answer:

It's $5 for a ticket

Step-by-step explanation:

Hope this helps

MAy I get Braineist pls?

Answer:

Area of annulus is 40.85cm² to 2d.p

Step-by-step explanation:

Area of shaded part=Area of bigger circle -Area of smaler circle

Area of annulus= πR²- πr²= π(R²-r²)

A=3.142(7²-6²)

A=3.142(49-36)

A=3.142×13

A=40.846cm²

A=40.85cm² to 2d.p

Tthe triangle that is a reflection of the green triangle is figure 1

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

The figures

Where, we have:

This means that the triangle that is a reflection of the green triangle is figure 1

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Answer:

4

Step-by-step explanation:

..............................

When the former image is rotated, the dots will be located at section 2 and 7.

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

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Answer:

33333 x 166667 = 5555511111

I think that is the answer you wanted

Step-by-step explanation:

      166667

     x 33333

5555511111

Answer:

you answer is B

Step-by-step explanation:

I am almost 100% sure it is B but correct me if im wrong

Answer:

B-log(x-4)

Step-by-step explanation:

Have a nice day lol i just know things

The equation as a single logarithm is:

\(log[(x^2 - 16)/(x + 4)].\)

Option C is the correct answer.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Using the logarithmic identity,

log a - log b = log (a/b)

We can simplify the given expression as:

\(=log(x^2 - 16) - log(x + 4) \\= log[(x^2 - 16)/(x + 4)]\)

Therefore,

The equation as a single logarithm is:

\(log[(x^2 - 16)/(x + 4)].\)

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Answer:

x = 16.45 inches

Step-by-step explanation:

Engineers want to design seats in commercial aircraft so that they are wide enough to fit 98% of all males. Men have hip breadths that are normally distributed with a mean of 14.4 inches and a standard deviation of 1 inch. find P98. I really don't understand, help needed please.

-----------------------

Find the z-value with a left tail of 0.98

invNorm(0.98) = 2.0537

-----

Find the corresponding x-value using x = zs+u

----

x = 2.0537*1+14.4

---

x = 16.45 inches

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