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nordsb [41]
4 years ago
9

Points V, W, X, Y, and Z are graphed on a number line. The coordinate of point V is 3. What points are at a distance of 7 units

from point V? Choose all answers that are correct. A. W = –7 B. X = –4 C. Y = 4 D. Z = 10
Mathematics
1 answer:
Aloiza [94]4 years ago
3 0
Because we are only referring to a number line, it is known that the distance between points are the absolute values of the differences between the numbers. From the given choices, B. X = -4 as the distance between 3 and -4 is equal to 7. Similarly, the distance between Z = 10 from V is also 7. The answers are B and D. 
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Select all values that make the equation true.
Aneli [31]

Answer:

the only Answer is -4

Step-by-step explanation:

hope this helps

8 0
3 years ago
The pointer of the vibration measuring instrument is observed to move between the 0.1 and0.3 marks on the vertical scale, when s
Norma-Jean [14]

Answer:

Step-by-step explanation:

Given points moves b/w 0.1 of 0.3 marks Hence amplitude is 0.2

Also , frequency (w) = 100 rad/s.

Natural frequency (wn) = √K/m

K = 20 N/mm x 1000mm/1m = 20000N/M

W = 1000mm/1m = 20,000N/M

FormulaX = FolK/1 - (w/wn)²

0.2 = b/20000/1 - (100/50)²

Given forcing frequency was doubled, W1 = 2 x 100=200rad/s

X1 =b/20,000/1 - (200/20)²

0.2/11 = 1 - (200/50)²/1 - (100/50)² = 0.2/11 = -15^5– 3

X1 = 0.04

8 0
3 years ago
What is the solution to the equation below? 4x = ⅔
Nataly [62]

Step-by-step explanation:

we divide both sides by 4 to single out the X

(4X) / 4 = (2/3)/4

simplify

X = 2/12

4 0
3 years ago
a rectangular lawn has an area of a^3 - 125. use the difference of cubes to find out the dimensions of the rectangle.
ANEK [815]

The area of a rectangle is the product of its dimensions

The dimensions of the rectangle are: \mathbf{Length = a -5} and \mathbf{Width = a^2 + 5a + 25}

The area is given as:

\mathbf{Area = a^3 - 125}

Express 125 as 5^3

\mathbf{Area = a^3 - 5^3}

Apply difference of cubes

\mathbf{Area = (a - 5)(a^2 + 5a + 5^2)}

\mathbf{Area = (a - 5)(a^2 + 5a + 25)}

The area of a rectangle is:

\mathbf{Area = Length \times Width}

So, by comparison:

\mathbf{Length = a -5}

\mathbf{Width = a^2 + 5a + 25}

Read more about areas at:

brainly.com/question/3518080

6 0
2 years ago
Ben needs 1 3/8 feet of fabric to make one banner. How many banners can he make from 4 1/2 yards of fabric?
skelet666 [1.2K]

Answer:

x = 9.818

x≈10

The number of banners that can be made are 10

Step-by-step explanation:

We can use the knowledge of proportion to solve this.

First we need to convert yard to feet.

  1  yard      = 3 foot

4 1/2 yard    = y

cross-multiply

y =  4 1/2  ×  3

    =9/2  ×   3

y = \frac{27}{2} feet

This implies 4 1/2 yards =  \frac{27}{2} feet

Let x be the numbers of banners needed to make from 4 1/2 yards of fabric.

1 3/8 feet  = 1 banner

\frac{27}{2}  feets    =    x

cross multiply

1 3/8 × x =  \frac{27}{2}

\frac{11x}{8}  =  \frac{27}{2}

cross-multiply

22x = 216

Divide both-side of the equation by 22

22x/22 = 216/22

x = 9.818

x≈10

The number of banners that can be made are 10

3 0
3 years ago
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