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natima [27]
3 years ago
7

What is the equation of the line that has a slope of -4 and passes through (2, -3)

Mathematics
1 answer:
slega [8]3 years ago
6 0

Answer:

y+3 = -4(x-2)

Step-by-step explanation:

We can use point slope form since we are given a point on the line and a slope,

Point slope form is

(y-y1) = m(x-x1) where m is the slope and (x1,y1) is a point on the line

(y- -3) = -4(x-2)

y+3 = -4(x-2)

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A triangle with equal sides and a square have the same perimeters. The length of a side of the triangle is 2x + 2. The length of
andreev551 [17]

Answer:

x=13

Step-by-step explanation:

3(2x+2)=4(x+8)\\6x+6=4x+32\\2x+6=32\\2x=26\\x=13

3 0
4 years ago
The size of a cell is typically found by capturing an image under a microscope then using software to measure its diameter. Two
nika2105 [10]

Answer:

  7.789×10^-2 = 0.07789 cm

Step-by-step explanation:

Your calculator can find the difference of the two given diameters and express it in any format you like.

The attached image of a calculator display shows the difference of the cell diameters is 0.07789 = 7.789×10^-2 cm.

__

The difference of two numbers with different exponents is found by first adjusting the exponents so they are the same. Here, we choose to adjust both numbers so they have the highest exponent value.

  8.83×10^-2 - 6.01×10^-3

  = 8.39×10^-2 - 0.601×10^-2 = (8.39 -0.601)×10^-2 = 7.789×10^-2

Alternatively, you can convert both numbers to standard form and do the subtraction that way.

  8.83×10^-2 - 6.01×10^-3

  = 0.0883 -0.00601 = 0.07789

_____

<em>Additional comment</em>

The second attachment shows the relationship between place values and their multiplier in scientific notation.

__

The choice of exponent when computing the sum or difference of numbers in scientific notation is usefully informed by an estimate of the value of the sum or difference. A proper choice can avoid the need to adjust the exponent of the result of the operation. Here, we see the subtraction will change the larger value by less than 10%, so the exponent of the result in scientific notation will be that of the larger value (-2).

3 0
2 years ago
Events A and B have probabilities such that P(A) = 0.3, P(B) = 0.25, P(M ∪ N) = 0.425, and P(M ∩ N) = 0.075. Are events A and ev
nekit [7.7K]

Answer:

(C)Yes, because P(M) ∙ P(N) = P(M ∩ N)

Step-by-step explanation:

Two events A and B are independent if P(A)P(B)=P(A ∩ B)

Given events A and B such that:

P(A) = 0.3, P(B) = 0.25, P(A ∪ B) = 0.425, and P(A ∩ B) = 0.075

  • P(A)P(B)=0.3 X 0.25 =0.075
  • P(A ∩ B) = 0.075

Since the two expression above gives the same answer, they are independent.

<u>The correct option is C.</u>

7 0
3 years ago
Jody is buying a scrapbook and sheets of designer paper. She has $40 and needs at least $19.00 to
Bas_tet [7]

Answer:

7 sheets of paper

Step-by-step explanation:

$40-$19=$21

$21/$3=7 sheets of paper.

In words:

I did 40 minus 19 to get 21, and the divided 21 by 3 to get 7 sheets of paper.

8 0
3 years ago
Can somebody tell me which one it is? options are (BE, CF, DG, GF)
mixas84 [53]

Answer:

CF

Step-by-step explanation:

Mark as brainliest please

7 0
3 years ago
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