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kolbaska11 [484]
3 years ago
13

(5k-3) (9+k) What is the value of K ?

Mathematics
2 answers:
slavikrds [6]3 years ago
7 0
K= 3/5 or -9 set each factor equal to zero and solve for x
UNO [17]3 years ago
3 0
Set the factors equal to 0.

(5k - 3)(9 + k) = 0

The zero product property states that if two terms being multiplied have a product of zero, then at least one of them must be zero.  In our case, this means we can set both (5k - 3) and (9 + k) equal to 0:

5k - 3 = 0
5k = 3
k = 3/5

9 + k = 0
k = -9

The value of k is 3/5 and -9.
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The diameter of a circle is 22 miles. What is the circle's area? Use 3.14 for pi.. Single choice.
Sonbull [250]

Answer:

379.94 mi²

Step-by-step explanation:

The area of a circle can be figured out with this formula: πr² (3.14 is π here, as it says in the directions).

We know the diameter is 22 miles. Divide that by 2 to get a radius of 11 miles.

The equation now becomes

3.14(11²)

11 squared is 121.

3.14(121)

I recommend splitting the 121 into 100, 20, and 1.

(3.14 * 100) + (3.14 * 20) + (3.14 * 1)

Multiply 3.14 by 100, 20, and 1.

314 + 62.8 + 3.14

Add 314 and 62.8.

376.8 + 3.14

Add 376.8 and 3.14

379.94 mi² is the area of a circle with a 22-mile diameter.

6 0
2 years ago
I need help and work shown please​
salantis [7]

9514 1404 393

Answer:

  x ≈ 32.4

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between angle, adjacent side, and hypotenuse:

  Cos = Adjacent/Hypotenuse

  cos(72°) = 10/x

  x = 10/cos(72°)

  x ≈ 32.4

4 0
3 years ago
Which of the following ratios is equivalent to 5/8 ?
Novosadov [1.4K]

Answer:

Which of the following ratios is equivalent to 5/8 ?

A) 16 : 10

B) 5 to 13  

C) 25/44

<u>D) 15 out of 24</u>

Step-by-step explanation:

5 : 8

(×3)

15 : 24

8 0
3 years ago
Read 2 more answers
3^-1 ___ 1/4 <br> a &gt; <br> b &lt; <br> c =
Readme [11.4K]

Answer:

a ">"

Step-by-step explanation:

3 to the power negative one (-1) is the same as 1/3 (one unit divided by 3).

1/4 on the other hand is one unit divided by 4.

Dividing one object into three parts (think for example a chocolate bar) gives you a larger (greater) piece than dividing it into four equal pieces.

Therefore 1/3  > 1/4

8 0
3 years ago
How do I factorise 2x + 10?
agasfer [191]

2 (x + 5)

Step-by-step explanation:

Factor out 2 from the expression

5 0
3 years ago
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