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3 years ago

Triangle ABC is reflected over the X axis. TRIANGLE ABC has points A(10,2) B(9,5) C(6,4). What is the C coordinate

Mathematics

1 answer:

gavmur [86]3 years ago

4 0

1. Let A(a,b) be a point in the coordinate axis. The reflection of A with respect to the x-axis is the point A'(a, -b).

2. So the reflection of C(6, 4) is C'(6, -4)

3. Remark, a picture is always helpful when dealing with reflections.

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Find the sum which amounts to Rs 9261 at 10% per annum compound interest for 18 months ,interest payable half yearly

AleksAgata [21]

Find the sum which amounts to Rs 9261 at 10% per annum compound interest for 18 months ,interest payable half yearly

$A=P(1+\frac{r}{n})^{nt}$ , where A is amount , r is rate =10% = 0.10 , n is intervals of compounding n=2 , t is time = 18 months=1.5 years

Lets plug in

$9261=P(1+\frac{0.10}{2})^{2*1.5}$

$9261 = P(1.002)^{3}$

$9261 = P(1.006012008)$

divide both sides by 1.006012008

$P= Rs 9205.6555$

6 0

4 years ago

Heather, Shen, and Aldo served a total of 57 orders Monday at the school cafeteria. Shen served 2 times as many as Aldo. Aldo se

pishuonlain [190]

Answer:

Shen served 32 orders, Aldo served 16 orders and Heather served 9 orders

Step-by-step explanation:

Let S represent Shen, A, Aldo and H, Heather

Now, let's interpret the question

Shen served 2 times as many as Aldo, this gives:

S = 2A ...eq 1

Aldo served 7 more orders than Heater

A = 7 + H ... eq 2

Slot in the value of A in eq 1

Therefore,

S = 2 (7 + H)

Expand the bracket

S = 14 + 2H

Shen, Heather and Aldo served a total of 57 orders

S + A + H = 57

Slot in the values of S and A

(14 + 2H) + (7 + H) + H = 57

14 + 2H + 7 + H + H = 57

Collect like terms

14 + 7 + 2H + H + H = 57

21 + 4H = 57

4H = 57 - 21

4H = 36

H = 9

Substitute the value of eq 2

A = 7 + H

A = 7 + 9

A = 16

Substitute the value of A in eq 1

S = 2A

S = 2(16)

S = 32

Therefore, Shen served 32 orders, Aldo served 16 orders and Heather served 9 orders

5 0

3 years ago

Solve for x.<br> 7x = 42

Brut [27]

Answer:

x = 6

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Grace needs $45 to go to Six Flags. She has $13. She earns $8 an hour walking dogs. Which

agasfer [191]

Answer: C. 13 + 8x = 45

Step-by-step explanation:

She already has 13 dollars. This would be the b-value in the equation, thus eliminating options A and B because those two feature 13 as the m value.

She earns $8 per hour. Let x = number of hours walking dogs.

Since 8 is the slope, it would be attached to x, thus either C or D would be the correct response

Since Grace is adding 8 dollars per hour, not subtracting, D is incorrect, leaving C to be the correct answer.

5 0

3 years ago

Give one combination of two factors whose product is 0.24, if one of the factors is a whole number greater than 1.

vitfil [10]

Answer: There are a lot of answers to this product. Some of them include (in the format (w, x), where w is the whole number, and x is the factor you must multiply it by to get 0.24):

(2, 0.12), (3, 0.08), (4, 0.06), (6, 0.04), and so on.

Step-by-step explanation: Well, you could just assign the smallest who number greater than 1 to one of the factors, which is 2. Now you just have to multiply that by another factor to get 0.24. To do this, you could set up an equation like this:

2*x=0.24

Next, you would divide both sides by 2 to cancel out the 2 on the left side of the equation, leaving you with:

x=0.12

There you have it!

Now you can check your work by multiplying 2 and 0.12, and you will get 0.24!

You can do the same thing with other whole numbers, such as 3 and 4, and complete the same process to find the decimal factor that multiplies to 0.24.

5 0

3 years ago