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serious [3.7K]
3 years ago
8

Solve the system of equations by using a matrix. x - 5y = -5 -4x - 2y = 20

Mathematics
1 answer:
Pepsi [2]3 years ago
4 0

Answer:

1. x = -5 + 5y

2. x = -5 - y/2

Step-by-step explanation:

You might be interested in
A spinner numbered 1 through 12 is spun. Find the probability that
anastassius [24]

Answer:

\dfrac{1}{6}

Step-by-step explanation:

Let <em>A</em> be the event of getting an odd number.

<em>P(A)</em> be the probability of getting an odd number.

Total odd numbers here are 6 i.e. \{1,3,5,7,9,11\}

Here, total numbers in the game are 12 i.e \{1,2,3,....,12\}.

Formula for probability of an <em>event E</em> can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

P(A) = \dfrac{6}{12}\\\Rightarrow \dfrac{1}{2}

Let <em>B</em> be the event of getting 11.

<em>P(B)</em> be the probability of getting 11.

Total number of possible cases is 1.

P(B) = \dfrac{1}{12}

P(A \cap B) is the probability that we get 11 and an odd number.

Possible number of cases = 1

P(A\cap B) = \dfrac{1}{12}

<em>P(B/A)</em> is the probability that we get an 11 given that it is an odd number.

P(B/A) = \dfrac{P(A \cap B)}{P(A)}\\\Rightarrow \dfrac{\dfrac{1}{12}}{\dfrac{1}{2}}\\\Rightarrow \dfrac{1}{6}

Hence, P(B/A) = \dfrac{1}{6}

4 0
3 years ago
Read 2 more answers
If acircle is inscribed in a hexagon, which of the following must be true ? Check all that apply.
Alecsey [184]
A. The hexagon is circumscribed about the circle .
D. Each vertex of the hexagon lies outside the circle .
E. The circle is tangent to each side of the hexagon .
5 0
3 years ago
Read 2 more answers
How do you find the volume to a shape in math
AnnyKZ [126]

Answer:

the volume of a sphere is base times one half.

Step-by-step explanation:


4 0
3 years ago
Are 16:14 and 64:60 equivalent? Explain ???
zzz [600]
If a:b=c:d then a/b=c/d and ad=bc

so

if 16:14=64:60 then 16/14=64/60 and (16)(60)=(14)(64)
(16)(60)=960
(14)(64)=896
960≠896

not equivilent


the easiest way is to simplify them
16/14=8/7
64/60=32/30=16/15
not equal

not equivilent
8 0
3 years ago
You and your friend enjoy riding your bicycles. Today is a beautiful sunny day, so the two of you are taking a long ride out in
fiasKO [112]

Answer:

1)hypotenuse = straight home

sqrt(36+64) = 10

straight is 10 miles

same way is 6+8 = 14 miles

(2) hypotenuse of 3,4 5 right triangle is 5

5*6 = 30

plus enough for the knots :)

(3)diagonal (hypotenuse) length is the longest

sqrt (42^2 + 84^2) = 93.9, so no

Step-by-step explanation:

8 0
2 years ago
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