the answer and how i got the answer

Answer:  perimeter 28 units

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Explanation:

Refer to the diagram below. In figure 1, I'm showing how the purple side A moves outward to the left, and the green side B moves up. This effectively expands the corner out, but we keep the same perimeter (since sides A and B didn't change in length). Apply these sort of steps to each of the four corners and you'll get what you see in figure 2. The purple box has the same perimeter as the orange original figure.

Why go through these steps? Because it's much easier to find the perimeter of a rectangle than the perimeter of some complicated shape like this. The purple rectangle in figure 2 has horizontal length of 8 units, and the vertical width is 6 units.

The perimeter of the purple rectangle is

P = 2*(length+width)

P = 2*(8+6)

P = 2*14

P = 28

Or you could say: 8+6+8+6 = 14+14 = 28

The purple rectangle in figure 2 has perimeter of 28 units, so the orange figure also has the same perimeter.

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Another approach to find the perimeter is to ignore figures 1 and 2, and simply count the number of edges along the outside. You should count 28 in total. I recommend you mark each side counted with a value so you don't lose track.

Answer:

Ha

Step-by-step explanation:

Answer:

The Graph of a Quadratic Function

A quadratic function is a polynomial function of degree 2 which can be written in the general form.

Step-by-step explanation:

Example: Graph: f(x)=−x2−2x+3.

Solution:

Step 1: Determine the y-intercept. To do this, set x=0 and find f(0).

f(x)f(0)===−x2−2x+3−(0)2−2(0)+33

The y-intercept is (0,3).

Step 2: Determine the x-intercepts if any. To do this, set f(x)=0 and solve for x.

f(x)000x+3x======−x2−2x+3−x2−2x+3x2+2x−3(x+3)(x−1)0−3orx−1x==Set f(x)=0.Multiply both sides by −1.Factor.Set each factor equal to zero.01

Here where f(x)=0, we obtain two solutions. Hence, there are two x-intercepts, (−3,0) and (1,0).

Step 3: Determine the vertex. One way to do this is to first use x=−b2a to find the x-value of the vertex and then substitute this value in the function to find the corresponding y-value. In this example, a=−1 and b=−2.

x====−b2a−(−2)2(−1)2−2−1

Substitute −1 into the original function to find the corresponding y-value.

f(x)f(−1)====−x2−2x+3−(−1)2−2(−1)+3−1+2+34

The vertex is (−1,4).

Step 4: Determine extra points so that we have at least five points to plot. Ensure a good sampling on either side of the line of symmetry. In this example, one other point will suffice. Choose x=−2 and find the corresponding y-value.

x −2  y 3f(−2)=−(−2)2−2(−2)+3=−4+4+3=3Point(−2,3)

Our fifth point is (−2,3).

Step 5: Plot the points and sketch the graph. To recap, the points that we have found are

y−intercept:x−intercepts:Vertex:Extra point:(0,3)(−3,0) and (1,0)(−1,4)(−2,3)

Answer:

Answer:

90 Degrees

Step-by-step explanation:

<LMN is an interior angle whose measure is equal to one-half the measure of its intercepted arc. Since the intercepted arc LN is the diameter of the circle, its measure is 180 degrees, so m<LMN = 90.

Answer:

part 1 is 0.5 and the second part is options 2 and 4

Step-by-step explanation:

b= 0.5

-

b. The graph shows exponential decay

d. The graph shows y = 2^x reflected over the y-axis.

-

Step-by-step explanation: e 21

Answer:

1. 12

2. 31

3. 37

4. 87

Answer:

6x^3-12x^2+3x-3

Step-by-step explanation:

Answer:

6x³ - 12x² + 3x - 3

Step-by-step explanation:

f(x)      -        g(x)

= (6x³ - 3x² + 4x - 4) - (9x² + x - 1)

= 6x³ - 3x² + 4x - 4 - 9x² - x + 1

= 6x³ - 3x² - 9x² + 4x - x - 4 + 1

= 6x³ - 12x² + 3x - 3  

Answer:

3/14

7/13

Step-by-step explanation:

12 months in a year

2 years

2x12=24

74.16x24=1779.84

Heather's total cost of repayment is $1,779.84.

A monthly payment is a payment made every month to pay off loans or advances. It's similar to EMI.

Given,

Principal = $1,500

Rate = 17% per year (or 0.17 as a decimal)

Time = 2 years

Total interest = (principal × rate × time) / 12

Substitute the given values, and we get:

Total interest = (1500 × 0.17 × 2) / 12 = $51

So, Heather will pay a total of $51 in interest over the two years.

Total repayment = monthly payment × number of months

Here,

Monthly payment = $74.16

Number of months = 2 years × 12 months/year = 24 months

Substitute these values, and we get:

Total repayment = $74.16 × 24 = $1,779.84

Therefore, Heather's total cost of repayment is $1,779.84.

Learn more about the monthly payments here:

https://brainly.com/question/20761642

#SPJ3

Answer:

Step-by-step explanation:

It’s a right triangle, so use the Pythagorean Theorem.

x^2 = 30^2 + 16^2 = 1156

x = 34

Answer:

37 and 5

Step-by-step explanation:

8+29=37

1+4=5

Answer:

8+29 is 37. And 1+4 is 5. add them together and you get 42.

Step-by-step explanation:

Answer:

x=60

Step-by-step explanation:

Answer:

X - 60 is the answer

Hope thus is helpful

Answer:

image is unseeable,plz send it again

Step-by-step explanation:

The answer for the system is, (2, 5)

y= 5, x= 2

Answer:

No, the point (1, 3) doesn't lie on the line y=2x+4.

Step-by-step explanation:

When you substitute x with 1 and y with 3, the numbers do not equal each other once you solve the problem.

[tex]3=2(1)+4[/tex]

[tex]-4[/tex]           [tex]-4[/tex]

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[tex]-1[/tex] ≠ [tex]2[/tex]

Answer:

x=53

x+2= 53+2= 55

Step-by-step explanation:

(x+2) + x + 72 = 180 (angles of triangle supplementary)

2x+ 74 = 180

2x = 180- 74

2x= 106

x= 106/2

x= 53

Answer:

x = 53°

(x+2)° = 55°

Step-by-step explanation:

Well we know that all the three angles added up together equals 180, so we can set the value of all the angles added up together as 180:

[tex]x+(x+2)+72= 180[/tex]

Now lets add what we can together:

[tex]2x+74=180[/tex]

Since we want to get x by itself to find its value, lets move 74 onto the other side and isolate the x:

[tex]2x=106[/tex]

[tex]x = 53[/tex]

And now we have the value of x, but let's plug them in and see if they still all equal to 180:

[tex](53+2)+53+72=180[/tex]

[tex]180 = 180[/tex]

Answer:

20%

Step-by-step explanation:

Find the percent discount by dividing the difference in the costs by the original cost:

150 / 750

= 0.2

So, the percent discount was 20%

Answer:

y=100 pages

Step-by-step explanation:

y=15x+10

y=15(6)+10

y= 90+10

y=100

Answer:

R=15

Step-by-step explanation:

706.86/3.14~225

The square root of 225 is 15

Answer:

Step-by-step explanation:

Given

As we see, the number x is factor of 42, 84 and 126. The two-digit factors are:

We have two possible solutions:

Proof:

Answer:

7:100

Step-by-step explanation:

35cm= 35cm

5m = 500cm

ratio = 35:500

[tex]\frac{35}{500}[/tex] ÷ [tex]\frac{5}{5}[/tex] = [tex]\frac{7}{100}[/tex]

Ratio = 7:100

I hope im right!!

Answer:

15x^3+28x^2-55x-12

Step-by-step explanation:

Dimensions of the box are (x+3), (3x-4), and (5x+1). Let these be length, width and height of the box.

assuming the box is cuboidal

Therefore, volume of the box  = Length× width× height

⇒volume of the box = (x+3)×(3x-4)×(5x+1)

now, (x+3)×(3x-4) = (3x^2+5x-12)

Now, volume of the box = (3x^2+5x-12)×(5x+1)

= 15x^3+28x^2-55x-12

Answer:

1, Because the half-life is 6 hours, the initial amount is halved every 6 hours. Due to the total of 18 hours, the starting amount will be divided by 2 (halved) three times. You will then have one-sixth of the original amount, which is 384 grams divided by six equals 48 grams.

Step-by-step explanation:

I answered in a comment and had more as an answer but he deleted it I don't know what I put for the rest so sorry about that

Answer:

-8/9

Step-by-step explanation:

Let the number = x

Expressing the problem Mathematically ;

2x * 3 = 5x - 8/9

6x = 5x - 8/9

6x - 5x = - 8/9

x = - 8/9

Hence, the number is - 8/9

Answer:

The probability of rolling a six on this cube is A. 1/6

Step-by-step explanation:

Just... Think about it. The cube has six sides (the total, or denominator). There is only one six (the numerator). So, the answer is 1/6.

Have a wonderful day/night! <3

Answer:

£6655

Step-by-step explanation:

Given data

Principal=  £5000

Rate= 10%

Time = 3 years

FInal Amount A=???

The expression for the compound interest is given as

A=P(1+r)^t

substitute

A=5000(1+0.1)^3

A=5000(1.1)^3

A=5000*1.331

A= £6655

Hence the final Amount is  £6655