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2 years ago

Each of the following phrases describes a numerical value:

Mathematics

2 answers:

DanielleElmas [232]2 years ago

7 0

Answer: C

Step-by-step explanation:

The answer is C

Step-by-step explanation:

C The opposite of 9 is the same distance from 0 on a number line as the absolute value of 9.

Absolute value is the distance from zero on a number line of and number positive or negative.

tankabanditka [31]2 years ago

6 0

Answer:

C-The absolute value of 9 is farther from 0 on a number line than the opposite of 9.

Step-by-step explanation:

You might be interested in

Find the area of the polygon WXYZ with its vertices at W(–3, –2), X(–3, 5), Y(2, 5), and Z(2, –2).

ki77a [65]

Answer:

The area of the polynomial is 35 square unit.

Step-by-step explanation:

It is given that area of the polygon WXYZ with its vertices at W(–3, –2), X(–3, 5), Y(2, 5), and Z(2, –2).

From the below graph it is noticed that the given polynomial is a rectangle with length 5 and width 7.

The distance formula

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using the above formula we get,

$WX=7$

$XY=5$

$YZ=7$

$WZ=5$

The length of opposing sides are equal.

Using the Pythagoras theorem, the length of diagonal WY and XZ are

$WY=\sqrt{(WX)^2+(XY)^2}=\sqrt{7^2+5^2}=\sqrt{74}$

$XZ=\sqrt{(XY)^2+(YZ)^2}=\sqrt{5^2+7^2}=\sqrt{74}$

Since the length of the diagonal are same, therefore the given polygon is a rectangle.

The area of a rectangle is

$A=l\times w$

Where l is length and w is width.

The area of given polynomial is

$A=5\times 7$

$A=35$

Therefore the area of the polynomial is 35 square unit.

6 0

2 years ago

The volume of a cylinder is 2,200Pi cubic inches. The diameter of the circular base is 10 inches. What is the height of the cyli

svet-max [94.6K]

I think it’s 220 inches

6 0

2 years ago

Read 2 more answers

A small island is 4 miles from the nearest point P on the straight shoreline of a large lake. If a woman on the island can row a

True [87]

Answer:

a) t(x) = [ √ (4)² + (x)²]/ 4 + 7/5 - x/5

b) x = 0,97 miles

c) t (min) = 1,24 hours

Step-by-step explanation: See Annex

Figure in annex shows a clear description of the situation

Let x be distance in miles between point P and where boat lands

A woman has to row a distance L

L = √ (4)² + (x)²

and the part to get to the town (which she has to walk)

d = ( 7 - x)

But we are required to give time as a function of x

distance = speed * time ⇒ t = distance / speed

Therefore

t(x) = [ √ (4)² + (x)²]/ 4 + ( 7 - x ) / 5

t(x) = [ √ (4)² + (x)²]/ 4 + 7/5 - x/5

Taking derivatives both sides of the equation

t¨(x) = ( 2x)*4 / 16√ (4)² + (x)²] - 5/25

t¨(x) = x/ 2√ (4)² + (x)²] - 1/5

t¨(x) = 0 x/ 2√ (4)² + (x)²] - 1/5 = 0

[ 5 x - 2√ (4)² + (x)²] = 0 ⇒ 5x = 2√ (4)² + (x)²] or

25 x² = 4 ( 4 + x²)

25 x² = 16 + 8x²

17x² = 16

x² = 16/17

x² = 0,941

x = 0,97 miles

And the distance walking to get to town

d = 7 - x d = 7 - 0,97

d = 6,03 miles

The least travel time is t(x) = [ √ (4)² + (x)²]/ 4 + 7/5 - x/5

t (min) = √ 16 + 0,94) /4 + 1,4 - 0,97/5

t (min) = 1,03 + 1,4 - 0,194

t (min) = 1,24 hours

7 0

2 years ago

Sally will measure the length of a wall in both centimeters and meters. Will there be fewer centimeters or fewer meters? Explain

harkovskaia [24]

There would be fewer meter. Since 1 m=100 cm.

6 0

2 years ago

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Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola

Artist 52 [7]

Answer:

Tomas added 6 to both sides of the equation instead of subtracting 6.

Step-by-step explanation:

Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola that costs $2.00 per pound. The walnuts cost $6 per pound. He uses the equation 2x + 6y = 12 to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts. He solves the equation for y, the number of pounds of walnuts he can buy.

Given:

2x + 6y = 12

where

x = number of pounds of granola y = number of pounds of walnuts

The correct solution to the problem

x = 3 pounds

2x + 6y = 12

2(3) + 6y = 12

6 + 6y = 12

Subtract 6 from both sides

6 + 6y - 6 = 12 - 6

6y = 6

Divide both sides by 6

y = 6/6

= 1

y = 1 pound

Tomas added 6 to both sides of the equation instead of subtracting 6.

3 0

2 years ago

Read 2 more answers