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8090 [49]
2 years ago
8

Find KL. K X-1 L 12 M

Mathematics
1 answer:
Aneli [31]2 years ago
6 0

Answer:

KL = 9

Step-by-step explanation:

(7 + x - 1)(x - 1) = 12²

(x + 6)(x - 1) = 144

x² -x + 6x - 6 = 144

reduce:

x² + 5x -150 = 0

(x + 15)(x - 10) = 0

x = -15, x = 10

KL = 10 - 1 = 9

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<img src="https://tex.z-dn.net/?f=%285%5E%7B3%7D%29%5E%7B-3%7D" id="TexFormula1" title="(5^{3})^{-3}" alt="(5^{3})^{-3}" align="
morpeh [17]

<h3>\frac{1}{1953125} ✅</h3>

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

( { {5}^{3} })^{ - 3}  \\   \\ which\:means \:that \: {5}^{3}\:  is \:multiplied \:thrice\: with\: itself\\ \\ =  {5}^{3 \times  - 3}  \\ \\   =  {5}^{ - 9}  \\  \\=  \frac{1}{ {5}^{9} }  \\  \\  =  \frac{1}{5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5}  \\   \\ =  \frac{1}{1953125}

<u>Note</u>:-

( { {a}^{m} })^{n}  =  {a}^{m \times n}

{a}^{ - m}  =  \frac{1}{ {a}^{m} }

\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}

4 0
2 years ago
Kelly found the area of the composite figure below and showed her work on a quiz. Her teacher marked her answer incorrect.
Stella [2.4K]

Answer:

446.75 y^2

Step-by-step explanation:

First, Kelly found the area of a circle, not half a circle, which is on top of the figure. She also shouldn't have subtracted the area of the circle by the airea of the base, as she is trying to find the area of the ENTIRE figure.

.5 TIMES pi times 9^2 = 122.75

the second part, calculating the square base is correct..

122.75+324 = 446.75 y^2

6 0
2 years ago
Write an algebraic rule to describe the translation C(5,-4) — C'(-2, 1).
SpyIntel [72]

Option <u>C. (x,y) → (x-7,y+5)</u> is the correct answer

Further explanation:

Given

C(5,-4) — C'(-2, 1)

We will apply each translation rule one by one to check the correct algebraic rule.

<u>A. (x,y) → (x - 2,y+1)</u>

C(5, -4) → (5-2, -4+1) → C'(3,-3)

<u>B. (x,y) → (x+7,y-5)</u>

C(5, -4) → (5+7, -4-5) → C'(12,-9)

<u>C. (x,y) → (x-7,y+5)</u>

C(5, -4) → (5-7, -4+5) → C'(-2,1)

Hence, option <u>C. (x,y) → (x-7,y+5)</u> is the correct answer

Keywords: Translation, Dilation

Learn more about translation at:

  • brainly.com/question/2609745
  • brainly.com/question/2657284

#LearnwithBrainly

8 0
3 years ago
1.You realize a short time into the carnival that you don’t have enough prizes to last the entire event. You call your teacher,
Darina [25.2K]

When you win 25% of the time based on the probability, this illustrates that the number of products picked will be 7 products.

<h3>How to illustrate the probability?</h3>

Based on the information given, the following can be depicted. It should be noted that there are 6 sides as well as 4 cards.

Therefore, the numbers on the dice i.e from 1 - 6 will be represented 4 times each. This gives a total of (4 × 6) = 24. There are also 4 cards. The total in sample space will now be:

= 24 + 4 = 28

The frequency table will be such that 28 or more have a relative frequency of 9. Therefore, the probability that a person wins the game will be:

= 9/28 = 32.1%

When you win 25% of the time, this illustrates that the number of products picked will be:

= 25% × 28

= 7 products.

The probability of participants achieving a winning score of 36 or higher in four consecutive attempts will be:

= 1/6⁴

= 1/1296

Learn more about probability on:

brainly.com/28021921

#SPJ1

5 0
1 year ago
How many are 13 x 13 ?​
mote1985 [20]

Answer:

169

Step-by-step explanation:

13*13=169

We can split the two 13's up:

(10+3)(10+3)

Multiply 10 with 10, 10 with 3, 3 with 10, and 3 with 3.

Basically, just multiply every single term together.

100+30+30+9

100+69

169

Hope this helps!

8 0
3 years ago
Read 2 more answers
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