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Nikitich [7]
3 years ago
14

Help I’m not sure with this one!! Urgent help

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

This system has exactly one solution, because the two equation are linearly independent (i.e. one is not a multiple of the other).

We can explicitly find the solutions: from the first equation we deduce

x = \dfrac{c-by}{a}

Plug this value for x in the second equation:

\dfrac{a}{3}\cdot \dfrac{c-by}{a}+\dfrac{by}{2}=\dfrac{c}{6} \iff \dfrac{c-by}{3}+\dfrac{by}{2}=\dfrac{c}{6} \iff \dfrac{2(c-by)+3by}{6}=\dfrac{c}{6}

Multiply both sides by 6 to get

2(c-by)+3by=c \iff 2c-2by+3by=c \iff by=-c \iff y=-\dfrac{c}{b}

Plug this value for y in the expression for x:

x = \dfrac{c-by}{a} = \dfrac{c-b\cdot\frac{-c}{b}}{a}=\dfrac{2c}{a}

Since both a,b are not zero, both solutions are well defined.

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Help me please I’m down baddddd
Pani-rosa [81]

Answer:

a. m<B = 100°

b. m<L = 55°

c. Scale factor = 9/11

Step-by-step explanation:

a) Similar triangles have their three corresponding angles congruent to each other, while the ratio of their corresponding sides are proportional to each other.

Since ∆ABC ~ ∆GLJ, therefore,

<A = <G,

<B = <J

<C = <L

m<J = 100° (given)

Therefore,

m<B = m<J = 100°

m<B = 100°

b) m<A = m<G

m<A = 25° (given)

Therefore,

m<A = m<G = 25°

m<G = 25°

m<L = 180° - (m<J + m<G)

Substitute

m<L = 180° - (100° + 25°)

m<L = 55°

c) scale factor of smaller triangle to the larger = side length of smaller triangle / corresponding side length of bigger triangle

Scale factor = AB/GJ

Substitute

Scale factor = 18/22

Simplify

Scale factor = 9/11

8 0
3 years ago
Perimeter of a triangle is 27cm,if two sides measure 9cm and 7.8cm,find the measure of third side?
fredd [130]

Answer:

10.2cm

Step-by-step explanation:

Perimeter is the sum of the lengths of all sides.

1st side: 9cm

2nd side: 7.8cm

Perimeter: 27cm

Perimeter = 1st + 2nd +3rd side of a triangle

27cm = 9cm +7.8cm + 3rd side

3rd side = 27cm - 9cm -7.8cm

              = 10.2cm

8 0
2 years ago
Please help these problems are hard​
Pachacha [2.7K]

Answer:

2/5

Step-by-step explanation:

For the denominator you are looking for the total number of options, and in this case it is 10.  Then for the numerator you are looking for what the question is asking for, in this case, it is looking for letters n to q. n, o, p and q are what you are looking for.  With this information you will get 4/10 and simplified, 2/5

6 0
3 years ago
Given: AB=CD, BD=DE<br> Prove: AD=CE
labwork [276]

This question is incomplete. Can you maybe add more information?

3 0
3 years ago
Read 2 more answers
A bookshelf in Deirdre’s living room has 4 shelves. There are 12 books on each shelf. How many books are on the bookshelf altoge
jarptica [38.1K]

the answer is 48 because 12x4 equals 48

5 0
3 years ago
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