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3 years ago

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.

Mathematics

1 answer:

ki77a [65]3 years ago

6 0

The question is not well presented and the question also requires an attachment which is missing. See complete question below

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.

a. 12/24 = 18/16 = ½

b. 12/18 = 16/24 = ⅔

c. 12/16 = 18/24 = ¾

d. 18/12 = 24/16 = 3/2

Answer:

c. 12/16 = 18/24 = ¾

Step-by-step explanation:

Given

Two similar triangles

Required

Ratio of corresponding sides

To solve questions like this, you have to make comparisons between the similar sides of the triangle.

From the attached file,

Side PQ is similar to Side AB

And

Side QR is similar to Side BC

Also from the attached file

PQ = 12 and QR = 18

AB = 16 and BC = 24

Now, the ratio can be calculated.

Ratio = PQ/AB or QR/BC

Ratio = PQ/AB

Ratio = 12/16

Divide numerator and denominator by 4

Ratio = ¾

Ratio = QR/BC

Ratio = 18/24

Divide numerator and denominator by 6

Ratio = ¾.

Combining these results

Ratio = 12/16 = 18/24 = ¾

Hence, option C is correct

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Transform the given quadratic function into vertex form f(x) = quadratic function into vertex form f(x) = quadratic function int

melisa1 [442]

Answer:

Vertex form: $f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

Step-by-step explanation:

For a general quadratic function the form is:

$ax ^ 2 + bx + c$

For the function

$f(x) = x ^ 2+ 7x -1$

The values of the coefficients for the function are the following: $a = 1$ , $b =7$ , $c = -1$

Take the value of b and divide it by 2. Then, the result obtained squares it.

$\frac{b}{2}= \frac{7}{2}$

$(\frac{b}{2})^2=(\frac{7}{2})^2=\frac{49}{4}$

Add and subtract $\frac{49}{4}$

$f(x) = (x ^ 2 +7x +\frac{49}{4}) -\frac{49}{4}- 1$

Write the expression of the form

$f(x) = (x+\frac{b}{2})^2 +k$

$f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

6 0

3 years ago

C is clicked but I'm not sure if that is the answer I just clicked one. I need the answer to both.

elena-14-01-66 [18.8K]

Answer:

I believe that B is the correct answer!

Step-by-step explanation:

The (x+5) can cancel

Then in the numerator (x^2-25) can be factored into (x-5)(x+5) through difference of squares.

Then in the denominator the (x-5)^2 can be stretched out to (x-5)(x-5)

Lastly the (x-5) on the top and bottom will cancel resulting in result B

I hope this helped!

3 0

3 years ago

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A wholesaler of kitchen appliances offers a discount of 12% on the first $ 10,000 worth of goods and 17% on additional goods.Wha

Crazy boy [7]

First, let's figure how much will 12% discount take off 10,000 dollars worth of goods.

To do that, we can multiply 12 by 10,000 and then divide by 100 to get the discount.

12 x 10,000 = 120,000

120,000/100 = 1,200

The discount for 12% of 10,000 is 1,200 dollars off.

Then, we would subtract that from 10,000.

10,000 - 1,200 = 8,800

After that, we need to solve for the amount taken off 17% of 8,800.

Same thing, multiply 17 by 8,800 and then divide by 100.

17 x 8,800 = 149600

149,600/100 = 1496

Lastly subtract that from 8800.

8800 - 1496 = 7304

Therefore, the final cost of $18,000 worth of appliances is $7,304 plus tax.

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jekas [21]

So if your solution -6(0.75)x=4(x-1)^2 is the answer

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3 years ago