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3 years ago

What is the product?

Mathematics

1 answer:

Anit [1.1K]3 years ago

7 0

The final answer will be a 3x3 matrix. So you'll have 3 rows and 3 columns.

Along row one, the values are: 10, 15, 20

Along row two, the values are: 45, -5, -35

Along row three, the values are: 55, 25, -15

all of which make up the final answer. Each value in bold is the result of multiplying the outer 5 by each value inside the original matrix given. In a sense, it's like using the distributive property, though we wont be adding any of the values (everything stays separated).

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given that 8-sqrt(18) over sqrt(2) = a + b sqrt(2) where a and b are integers find the value of a and b

Novay_Z [31]

Answer:

a = - 3 and b = 4

Step-by-step explanation:

Given

$\frac{8-\sqrt{18} }{\sqrt{2} }$

Simplify $\sqrt{18}$

= $\sqrt{9(2)}$ = $\sqrt{9}$ × $\sqrt{2}$ = 3 $\sqrt{2}$

Thus expression can be written as

$\frac{8-3\sqrt{2} }{\sqrt{2} }$

Multiply numerator/denominator by $\sqrt{2}$

noting that $\sqrt{2}$ × $\sqrt{2}$ = 2

= $\frac{\sqrt{2}(8-3\sqrt{2}) }{\sqrt{2}(\sqrt{2}) }$

= $\frac{8\sqrt{2}-6 }{2}$

Dividing each term on the numerator by 2

= 4 $\sqrt{2}$ - 3

= - 3 + 4 $\sqrt{2}$

with a = - 3 and b = 4

6 0

2 years ago

Read 2 more answers

Pls help ASAP need in 10 mins

Rina8888 [55]

Answer:

Step-by-step explanation:

i think its C sorry if its wrong

8 0

2 years ago

A soccer player uses her head to hit a ball up in the air from a height of 2 meters with an initial vertical velocity of 5 meter

ozzi

Answer:

The ball will hit the ground in 1.33 s if no one touches it. The equation has 2 real solutions.

Step-by-step explanation:

The ball will hit the ground when its height is equal to 0 meters, therefore using this value in the expression and solving for "t" will give us the correct solutions.

$h = -4.9*t^2 + 5*t + 2\\\\-4.9*t^2 + 5*t + 2 = 0\\\\t_{1,2} = \frac{-5 \pm \sqrt{5^2 - 4*(-4.9)*(2)}}{2*(-4.9)}\\\\t_{1,2} = \frac{-5 \pm \sqrt{64.2}}{-9.8}\\\\t_{1,2} =\frac{-5 \pm 8.0125}{-9.8}\\\\t_1 = \frac{-5 - 8.0125}{-9.8} = 1.33 \text{ s}\\\\t_2 = \frac{-5 + 8.0125}{-9.8} = -0.3 \text{ s}$