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Lapatulllka [165]
2 years ago
15

From measurements in a microscope, you determine that a certain bacterium covers an area of 1.50 μm2. Convert the area into squa

re meters. Show your solution.
Mathematics
1 answer:
NemiM [27]2 years ago
4 0
So the problem ask to find and convert the area into square meters. So to convert is you must do the cross multiplication process that could cancel out unit and made the answer into a square meter, so the answer would be 1. x10^-12m^2. I hope you are satisfied with my answer and feel free to ask for more 
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Which system of equations has exactly one solution?
tester [92]

Answer: Most of them cross each other once so I am not sure which one is the answer (sorry)

Step-by-step explanation:

x+y=7 is parallel to 3x+3y=3 and -6x-6y=3

3x+y=-1 and 6x+2y=-2 have infinite solutions togther (both are on top of each other)

The rest of the ways cross each other once

8 0
2 years ago
Plz answer 19. And 20. Until Friday it's DUE FRIDAY.
scoray [572]
Very easy:
Find volume by formula: W*H*L
6*5*4=120
10*10*2=200
120+200=320 cubic inches for first question
7 0
3 years ago
Point R is on line segment QS. Given QS= 5x-2, QR= 3x-6, and RS=4x-2, determine the numerical length of RS.
pashok25 [27]

Answer:

The numerical length of RS is 10 units

Step-by-step explanation:

* <em>Lets explain How to solve the problem</em>

- Point R is on line segment QS

- The length of QS is (5x - 2)

- The length of QR is (3x - 6)

- The length of RS is (4x - 2)

- <em>The length of QS is the sum of the lengths of QR and RS</em>

∵ QS = QR + RS

∴ (5x - 2) = (3x - 6) + (4x - 2)

- Simplify the right hand side by adding like terms

∴ 5x - 2 = (3x + 4x) + (-6 + -2)

∴ 5x - 2 = 7x + -8 ⇒ (+)(-) = (-)

∴ 5x - 2 = 7x - 8

- Add 8 for both sides

∴ 5x + 6 = 7x

- Subtract 5x from both sides

∴ 6 = 2x

- Divide both sides by 2

∴ x = 3

- <em>To find the length of RS substitute the value of x in its expression</em>

∵ RS = 4x - 2

∵ x = 3

∴ RS = 4(3) - 2 = 12 - 2 = 10

∴ The numerical length of RS is 10 units

8 0
3 years ago
If x+2y=3 and xy=2 show that x³+8y³+9=0​
kicyunya [14]

Step-by-step explanation:

<u>Given</u>

  • x + 2y = 3 and xy = 2
  • show that x³ + 8y³ + 9 = 0​

<u>Solution in steps:</u>

  • (x + 2y)³ = 3³
  • x³ + 3x²(2y) + 3x(2y)² + (2y)³ = 27
  • x³ + 6x(xy) + 12y(xy) + 8y³ = 27
  • x³ + 8y³ + 6(x + 2y)xy = 27                    ⇒  Substitute values
  • x³ + 8y³ + 6*3*2 = 27
  • x³ + 8y³  + 36 - 27 = 0
  • x³ + 8y³  + 9 = 0

Done

4 0
2 years ago
Based on the similar triangles shown below, Theodore claims that ∆TUV is transformed to ∆WXY with a scale factor of 32. Is Theod
Anarel [89]

*Correct Question:

Based on the similar triangles shown below, Theodore claims that ∆TUV is transformed to ∆WXY with a scale factor of 3/2. Is Theodore correct?

A. Yes, the triangles are similar with a scale factor of 3/2.

B. No, the triangles are similar with a scale factor of 2/1.

C. No, the triangles are similar with a scale factor of 2/3.

D. No, the triangles are similar with a scale factor of 4/3.

Answer:

C. No, the triangles are similar with a scale factor of 2/3.

Step-by-step explanation:

∆TUV is the original triangle. After transformation, the size reduced to give us ∆WXY. This means ∆TUV was reduced by a scale factor to give ∆WXY. The scale factor should be a fraction, suggesting, the original size of the ∆ was reduced upon transformation.

Thus, the ratio of their corresponding sides = the scale factor.

This is: \frac{8}{12} = \frac{16}{24} = \frac{12}{18} = \frac{2}{3}

If you multiply the side length of ∆TUV by ⅔, you'd get side length of ∆WXY.

So, Theodore is wrong.

8 0
3 years ago
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