All categories

3 years ago

What is the following product? (x square root 7 - 3 square root 8) (x square root 7 - 3 square root 8)

Mathematics

2 answers:

bogdanovich [222]3 years ago

8 0

Answer:

7x^2 -6x√56 + 72

Step-by-step explanation:

(x√7 - 3√8)(x√7 - 3√8) ➡ (x√7 - 3√8)^

x^2 × 7 - 3x√56 - 3x√56 + 9×8 ➡ 7x^2 -6x√56 + 72

Semmy [17]3 years ago

3 0

Answer:

7 x² - 6 x √56 +72

Step-by-step explanation:

Let's consider the following equation.

(x√7 - 3√8).(x√7 - 3√8)

This is equal to a squared binomial.

(x√7 - 3√8)²

This is equal to the square of the first term, minus the double of the product of the first by the second plus the square of the second term.

(x√7)² - 2 × x√7 × 3√8 + (3√8)²

7 x² - 6 x × √(7.8) + 9 . (√8)²

7 x² - 6 x √56 +72

You might be interested in

Directions: Simplify each expression by distributing <br> 1. 8(x + 5) =<br> 3.-2(3m + 9) =

TiliK225 [7]

Answer:

8x +40
-6m-18

Step-by-step explanation:

$8(x + 5) = \\ 8(x) + 8(5) \\ = 8x + 40$

$- 2(3m + 9) \\ = - 2(3m) - 2(9) \\ = - 6m - 18$

7 0

3 years ago

A philanthropic organization helped a town in Africa dig several wells to gain access to clean water. Before the wells were in p

Romashka [77]

Answer: -1.5

Step-by-step explanation:

When population standard deviation is known, then the formula to find the z-test statistic for population mean is given by :-

$z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

, where n= Sample size.

$\mu$ = Population mean

$\overline{x}$ = Sample mean

$\sigma$ = Population standard deviation.

As per given , we have $\mu=120$ (average infants contracted typhoid each month)

$\sigma=40$

n= 4 (No. of months)

$\overline{x}=90$

Then , the value of the appropriate test statistic will be :

$z=\dfrac{90-120}{\dfrac{40}{\sqrt{4}}}$

$z=\dfrac{-30}{\dfrac{40}{2}}$

$z=\dfrac{-30}{20}$

$z=-1.5$

Hence, the value of the test statistic = -1.5

8 0

3 years ago

Ming's DVD collection includes 16 adventures movies, 7 comedies, 12 westerns, and 8 mysteries. He wants to keep 8 of the DVDs an

alina1380 [7]

43 total movies the type of movies is added in to confuse you pay no ttention just add the total. he keeps 8 of them
43 - 8 = 35

he gives them to 5 friends

35 DIVIDED by 5 = 7

each friend would get 7 each

7 0

3 years ago

Which shows another way to write 9.54?

Lelu [443]

Answer:

It would be C

Step-by-step explanation:

3 0

3 years ago

Find the arc length and area of a sector with radius R =60 inches and central angle equals 30° round your answer to the nearest

Black_prince [1.1K]

Answer:

(a)31.42 inches

(b)942.48 Square Inches

Step-by-step explanation:

Given a sector of a circle with the following dimensions:

Radius of the circle =60 inches

Central Angle of the sector =30°

(a)Arc Length

Arc Length $=\dfrac{\theta}{360^\circ}X2\pi r$

$=\dfrac{30}{360^\circ}X2*60*\pi\\\\=10\pi\\\\=31.42$ Inches (correct to the nearest hundredth)$

(b)Area of the sector

Area of the sector $=\dfrac{\theta}{360^\circ}X\pi r^2$

$=\dfrac{30}{360^\circ}X\pi*60^2\\\\=300\pi\\\\=942.48$ Square Inches (correct to the nearest hundredth)$

3 0

3 years ago

Read 2 more answers