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Darina [25.2K]
3 years ago
7

Please include work

Mathematics
1 answer:
OLga [1]3 years ago
7 0

Answer:

9.     6k + 5 and 2k - 1.

10.    5√2 .

Step-by-step explanation:

9.    Area = 12k^2 + 4k - 5

Factoring:

12k^2 - 6k + 10k - 5

= 6k(2k - 1) + 5(2k - 1)

= (6k + 5)(2k - 1)

So the required lengths are 6k + 5 and 2k - 1.

10.  The ratio of a leg to the hypotenuse is  1: √2 so if the hypotenus = 10 the length of a leg is 10 / √2  

= 10 √2  / 2

= 5√2 .

You might be interested in
What is the volume of the composite object below?
castortr0y [4]

Answer:

216 cubic inches

Step-by-step explanation:

(9)(3)(3)=81

(3)(3)(9)=81

(3)(3)(6)=54

81+81+54=216

So, it's 216 cubic inches in volume.

6 0
2 years ago
Is -14 a natural number, whole number, integer, rational or irrational number?
Sveta_85 [38]

Answer:

Step-by-step explanation:

-14 is an integer

We can also tell as rational number

as -14 can be written in the form p/q, ie -14/1

7 0
3 years ago
Find all solutions for a triangle with a = 14, b= 12, and B = 90°.
ziro4ka [17]

Answer:

No solution.

Step-by-step explanation:

Given

a = 14; b= 12; B = 90^\circ

Required

Find all possible solutions

If B = 90^\circ, then the triangle is right-angled and the hypotenuse is at b

Given that a = 14; b= 12;

This implies that a > b

In a right-angled triangle, the hypotenuse (side b) is the longest.

Since this is not true for the given sides, then the triangle has no solution.

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=If%20w%3D2x%2C%20then%20%5Cint%5Climits%5E2_0%20%7Bf%282x%29%7D%20%5C%2C%20dx%20%3D" id="TexFo
elena-14-01-66 [18.8K]
First, you should solve for f(2x), which equals 2*(2x)=4x.  Now, solve the integral of f(2x)=2*(2x)=4x, to get that\int\ {(f(2x)=4x)} \, dx= 2x^2.  You can check this by taking the integral of what you got.  Now by the Fundamental Theorem\int\limits^2_0 {4x} \, dx=[2x^2] ^{2}_{0}=2(2)^{2}-2(0)^2=8.

This should be the answer to your question, if I understood what you were asking correctly. 
8 0
2 years ago
Find area of the circle
noname [10]
37.68 is the answer

Hope this helped! ^_^
4 0
3 years ago
Read 2 more answers
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