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Sonbull [250]
3 years ago
6

Solve for x in the equation 2x^2 + 3x - 7 = x^2 + 5x + 39

Mathematics
1 answer:
Nataliya [291]3 years ago
7 0
Sorry I can't explain this one much but it is x = 1+- square root of 47
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The diagram shows a 5 cm x 5 cm x 5 cm cube.
mylen [45]

Answer:

~8.66cm

Step-by-step explanation:

The length of a diagonal of a rectangular of sides a and b is

\sqrt{a^2+b^2}

in a cube, we can start by computing the diagonal of a rectangular side/wall containing A and then the diagonal of the rectangle formed by that diagonal and the edge leading to A. If the cube has sides a, b and c, we infer that the length is:

\sqrt{\sqrt{a^2+b^2}^2 + c^2} = \sqrt{a^2+b^2+c^2}

Using this reasoning, we can prove that in a n-dimensional space, the length of the longest diagonal of a hypercube of edge lengths a_1, a_2, a_3, \ldots, a_n is

\sqrt{a_1^2 + a_2^2 + a_3^2 + \ldots + a_n^2}

So the solution here is

\sqrt{(5cm)^2 + (5cm)^2 + (5cm)^2} = \sqrt{75cm^2} = 5\sqrt{3cm^2} \approx 5\cdot 1.732cm = 8.66cm

5 0
3 years ago
Read 2 more answers
A sports shop has 60 employees. 20% of the employees work part-time. How many part-time employees does the sports shop have?
torisob [31]

Answer:

12

Step-by-step explanation:

60÷100=0.6 0.6x20=12

Therefore the sports shop has 12 part-time employees

8 0
3 years ago
Find the 9th term of the geometric sequence whose common ratio is 1/3 and whose first term is 2.
raketka [301]

Answer:

2/6561

Step-by-step explanation:

Geometric sequence formula : a_n=a_1(r)^n^-^1

where an = nth term, a1 = first term , r = common ratio and n = term position

given ratio : 1/3 , first term : 2 , given this we want to find the 9th term

to do so we simply plug in what we are given into the formula

recall formula : a_n=a_1(r)^n^-^1

define variables : a1 = 2 , r = 1/3 , n = 9

plug in values

a9 = 2(1/3)^(9-1)

subtract exponents

a9 = 2(1/3)^8

evaluate exponent

a9 = 2 (1/6561)

multiply 2 and 1/6561

a9 = 2/6561

7 0
2 years ago
Find the perimeter and simplify your answer
Lera25 [3.4K]

Answer:

32z-14

Step-by-step explanation:

2(9z-8)+2(7z+1)

18z-16+14z+2

simplify

32z-14

3 0
3 years ago
Evaluate log base 6 1/216
Musya8 [376]
The answer should be 2 but i really don't know so its 2 

\
4 0
3 years ago
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