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2 years ago

Solve each system using a matrix 7x+2y=5 13x+14y=-1

Mathematics

2 answers:

erik [133]2 years ago

8 0

The answer is X=1, y=-1 use

Svetach [21]2 years ago

7 0

Solve each system using a matrix

7x+2y=5

13x+14y=-1Solve each system using a matrix

7x+2y=5

13x+14y=-1

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Which choice is equivalent to the product below?<br> Square root 2 • square root 3 • square root 8

SIZIF [17.4K]

That would be simplified into

1.41 • 1.73 • 2.82 = 6.9

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7 0

2 years ago

In the expansion (ax+by)^7, the coefficients of the first two terms are 128 and -224, respectively. Find the values of a and b

madam [21]

Answer:

a = 2, b = 3.5

Step-by-step explanation:

Expanding $(ax+by)^7$ using Binomial expansion, we have that:

$(ax+by)^7$ =

$(ax)^7(by)^0 + (ax)^6(by)^1 + (ax)^5(by)^2 + (ax)^4(by)^3 + (ax)^3(by)^4 + (ax)^2(by)^5 + (ax)^1(by)^6 + (ax)^0(by)^7$

$= (a)^7(x)^7+ (a)^6(x)^6(b)(y) + (a)^5(x)^5(b)^2(y)^2 + (a)^4(x)^4(b)^3(y)^3 + (a)^3(x)^3(b)^4(y)^4 + (a)^2(x)^2(b)^5(y)^5 + (a)(x)(b)^6(y)^6 + (b)^7(y)^7\\\\\\= (a)^7(x)^7+ (a)^6(b)(x)^6(y) + (a)^5(b)^2(x)^5(y)^2 + (a)^4(b)^3(x)^4(y)^3 + (a)^3(b)^4(x)^3(y)^4 + (a)^2(b)^5(x)^2(y)^5 + (a)(b)^6(x)(y)^6 + (b)^7(y)^7$

We have that the coefficients of the first two terms are 128 and -224.

For the first term:

=> $a^7 = 128$

=> $a = \sqrt[7]{128}\\ \\\\a = 2$

For the second term:

$a^6b = -224$

$b = \frac{-224}{a^6}$

$b = \frac{-224}{2^6} \\\\\\b = \frac{-224}{64} \\\\\\b = 3.5$

Therefore, a = 2, b = 3.5

5 0

2 years ago

Write a story to represent the equation 15 ÷ 1/9. Solve the equation and complete the story.

Andrew [12]

Answer:

Jamie has a foot plank that he needs to cut into 1/9 pieces.

15 ÷ 1/9 = 135

135 x 1/9 = 15

Step-by-step explanation:

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2 years ago

After a storm, a tree lies as shown. What was the original height of the tree? (Round to the nearest whole foot.)

Andreyy89

Using the Law of Sines, sina/A=sinb/B=sinc/C (although there are other ways considering that this is a 30, 60, 90 degree triangle with a basic identity) we can say:

97/sin60=x/sin30=y/sin90

x=97sin30/sin60 and y=97sin90/sin60

The total height of the tree is h=x+y so

h=97sin30/sin60 + 97sin90/sin60

h≈168.01 ft (to the nearest hundredth of a foot)

h≈168 ft (to nearest foot)

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3 years ago

What are the lines in the picture below called?

mr Goodwill [35]

Answer:

the answer is vertices

hope this helps!

Step-by-step explanation:

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2 years ago