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Luden [163]
3 years ago
14

Solve the following system of equations using Gaussian elimination method. If there are no solutions, type "N" for both xx, yy a

nd zz. If there are infinitely many solutions, type "z" for zz, and expressions in terms of zz for xx and yy.-5x-7y-4z=-66x+2y+3z=-2-1x+2y-7z=0
Mathematics
1 answer:
Anna11 [10]3 years ago
6 0

Answer:

x=-224/229,

y=296/229,

z=118/229

Step-by-step explanation:

-5x-7y-4z=-6

6x+2y+3z=-2

-x+2y-7z=0...........( multiple with (-5) and sum with 1st equation, mult with 6 and                    sum with 2nd equation)

______________

-x+2y-7z=0

-17y+31z=-6.....(mult with 14)

14y-39z=-2.....(mult with -17) then sum

___________

-x+2y-7z=0

-229z=-118, so here we have z=118/229.

14y-39*(118/229)=-2, from here we have y=296/229

-x+2*(296/229)-7*(118/229)=0, we get that x=-234/229

In the same way you can do this in the matrix form>>

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A ladder leans against a 22-feet-tall apple tree. The base of the ladder forms a 42° angle with the ground. Approximately how ta
igomit [66]

(D) 33 feet

<u>Explanation:</u>

Given:

Height of the tree, h = 22 feet

angle, θ = 42°

Length of the ladder, l = ?

We know:

sin θ = Perpendicular / hypotenuse

So,

Sin θ = height of the tree / length of the ladder

sin 42^0 = \frac{22}{l} \\\\0.67 = \frac{22}{l} \\\\l = 32.84 feet

l = 32.84 feet ≈ 33 feet

Therefore, the length of the ladder be to reach the top of the apple tree is 33 feet.

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3 years ago
A group of students are going on a trip and the trip costs $36.50 per student which includes $9.50 for lunch, an entrance ticket
Gnesinka [82]

Answer:

The answer is D) $13.50

Step-by-step explanation:

So first what you're gonna do it subtract $9.50 from $36.50 which will get you to $27.00.

Then you'll have to figure out what half of $27.00 is.

That will get you to the answer of D) $13.50

5 0
3 years ago
Please just pleaseeeee help....I’m desperate....
pshichka [43]

Answer:

option B

-5/2

Step-by-step explanation:

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4 0
2 years ago
Pls help! No bots pls
borishaifa [10]

Question:

What are the solutions to 8<em>x</em>² − 25<em>x</em> = −24

Answer:

D.) <em>x</em> = \frac{(25+\sqrt{143}) }{16}  <em>and  </em> \frac{(25-\sqrt{143}) }{16}

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The measures of two angles are given along with the measure of the side 4 points
FrozenT [24]

Answer:

C

Step-by-step explanation:

Let say for example, the triangle is named ∆ABC, and the two angles given are <A and <B with a given side, c, opposite to the third angle (<C).

Since sum of triangle = 180°, we can find the third angle by saying:

m<C = 180 - (m<A + m<B).

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3 years ago
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