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2 years ago

Make x the subject of the formula. y = √x² +1

Mathematics

1 answer:

GrogVix [38]2 years ago

3 0

Answer: x = $\sqrt{y^2 -1}$

Step-by-step explanation:

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Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use

Firlakuza [10]

Given:
2 rectangular prism.
same height
square bases

Box A Box B
Square Base side 2 ft 0.75 ft
Height 4 ft 4 ft

Solving for the space inside each rectangular prism, we need to find its volume.

Volume of a rectangular prism = length * width * height

Box A:
Volume = 2 ft * 2 ft * 4 ft = 16 cubic feet

Box B:
Volume = 0.75 ft * 0.75 ft * 4 ft = 2.25 cubic feet

Box A - Box B = difference in space

16 cubic feet - 2.25 cubic feet = 13.75 cubic feet

Box A contains 13.75 cubic feet more space than Box B.

8 0

3 years ago

Read 2 more answers

Solve for x by completing the square: x2 - 12x + 11 = 0

sineoko [7]

Answer:

Step-by-step explanation:

x² - 12x + 11 = 0 ( subtract 11 from both sides )

x² - 12x = - 11

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 6)x + 36 = - 11 + 36

(x - 6)² = 25 ( take square root of both sides )

x - 6 = ± $\sqrt{25}$ = ± 5 ( add 6 to both sides )

x = 6 ± 5

Then

x = 6 - 5 = 1 ⇒ (1, 0 )

x = 6 + 5 = 11 ⇒ (11, 0 )

6 0

2 years ago

do males or females feel more tense or stressed out at work? A survey of employed adults conducted online by Harris Interactive

Katen [24]

Answer:

yes

Step-by-step explanation:

any number is a difference

7 0

3 years ago

why does the method for finding the volume of an irregular-shaped object work for regular-shaped objects as well?

kumpel [21]

Answer:

Its the same formula that your using to find a regular object as an irregular one. The only difference is that your adding the formula of multiple shapes together since an irregular shape consists of multiple regular ones

hope this helps!

5 0

3 years ago

Anne is running on a trail at an average speed of 6 miles per hour beginning at mile marker 4. John is running on the trail at t

Sphinxa [80]

Answer:

John is running faster.

Step-by-step explanation:

Given that:

Average Speed of Anne = 6 miles per hour

Speed of John can be represented in the table below:

$\begin{center}\begin{tabular}{ c c}Time (hours) x & Mile Marker y \\ 0 & 1 \\ 0.5 & 4.5 \\ 1 & 8 \\ 1.5 & 11.5 \\\end{tabular}\end{center}$

To find:

Who is running faster of the both i.e. Anne and John?

Solution:

Here, to find the faster runner we can compare the average speed of both the runners.

We are given that, average speed of Anne = 6 miles per hour

We will have to calculate the average speed of John to find the faster runner.

<em>Average speed</em> can be calculated by dividing the total distance traveled with the total time taken.

Total distance traveled by John = 11.5 - 1 = 10.5 miles

Total time taken by John = 1.5 hours

Average speed of John = $\frac{10.5}{1.5} = 7\ miles/hr$

Clearly Average speed of John is greater than that of Anne's.

Therefore, <em>John runs faster</em>.

6 0

2 years ago