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Semenov [28]
3 years ago
6

Determine whether(-8,-3) is a solution of 2x -8=1 is (-8,-3) a solution to the equation ?

Mathematics
1 answer:
Blababa [14]3 years ago
8 0

Answer:

No

Step-by-step explanation:

(-8,-3) does not land on the line 2x-8=1

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Adam is building a computer desk with a separate compartment for the computer. The compartment for the computer is a rectangular
Alik [6]

Answer:

The width of the computer compartment is 9 inches

The length of the computer compartment is 33 inches

The height of the computer compartment is 27 inches

Step-by-step explanation:

The given data on the rectangular prism compartment are;

The volume of the rectangular prism, V = 8019 cubic inches

The length of the compartment, l = 24 inches + The width, w

The height of the compartment, h = 18 inches + The width, w

Therefore, we have;

l = 24 + w

h = 18 + w

V = l × h × w

∴ V = (24 + w) × (18 + w) × w = w³ + 42·w² + 432·w = 8019

w³ + 42·w² + 432·w - 8019 = 0

By graphing the above function with MS Excel, we have one of the solution is w = 9

∴ (w - 9) is a factor of w³ + 42·w² + 432·w - 8019 = 0

Dividing, we get;

w² + 51·w + 891

w³ + 42·w² + 432·w - 8019 = 0

w³ - 9·w²

     51·w² - 459·w

                 891·w

                 891·w + 8019

                             0

Therefore,

w³ + 42·w² + 432·w - 8019 = 0

w³ + 42·w² + 432·w - 8019  = (x - 9)·(w² + 51·w + 891) = 0

The determinant of the factor, w² + 51·w + 891 = 51² - 4×1×891 = -963, therefore, the it has complex roots

Therefore, the real solution of (x - 9)·(w² + 51·w + 891) = 0 is w = 9

The width of the computer compartment, w = 9 inches

The length of the computer compartment, l = 24 inches + 9 inches = 33 inches

The height of the computer compartment, h = 18 inches + 9 inches = 27 inches.

3 0
3 years ago
40% of students in a school wore blue on a spirit Day. If two
stealth61 [152]

Answer:

60%

Step-by-step explanation:

yiu take 100%-40%= 60%

4 0
3 years ago
Read 2 more answers
In two or more complete sentences, explain whether the sequence is finite or infinite. Describe the pattern in the sequence if i
Ray Of Light [21]

Answer:

Infinite sequence with terms t_{n+1}=t_n\cdot ab or t_{n+1}=2a\cdot (ab)^n=2a^{n+1}b^n.

t_7=2a^7b^6.

Step-by-step explanation:

Consider the pattern

2a,\ 2a^2b,\ 2a^3b^2,\ 2a^4b^3,\ ...

First term of this pattern is

t_1=2a,

second -

t_2=t_1\cdot ab,

third -

t_3=t_2\cdot ab,

fourth -

t_4=t_3\cdot ab,

fifth -

t_5=t_4\cdot ab=2a^4b^3\cdot ab=2a^5b^4,

sixth -

t_6=t_5\cdot ab=2a^5b^4\cdot ab=2a^6b^5,

seventh -

t_7=t_6\cdot ab=2a^6b^5\cdot ab=2a^7b^6.

This equence is infinite and each next term is obtained from the previous multiplying by ab.

7 0
3 years ago
The measure of angle D is 35° and the measure of angle CAB is 35° find the measure of Angle ACB​
Irina-Kira [14]

The sum of angles in a triangle is 180°

We know 2 angles: 35 and 35

180-(35+35)=angle acb

180-70

110=angle acb

4 0
3 years ago
Solve 2+y=3x+4 for y<br> i need help rlly fast <br> please and thank u
AysviL [449]

Answer:

y=3x+4-2

---> y=3x+2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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