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ozzi
2 years ago
14

5) What is the slope of the line passing through the points (4, 5) and (0, -7)? Show all your work.

Mathematics
2 answers:
bekas [8.4K]2 years ago
8 0

Answer:

1.285714286 (1.28)

Step-by-step explanation: 4,5/0,-7

9/-7. 9/-7=1.28

Marta_Voda [28]2 years ago
7 0

Answer:

3

Step-by-step explanation:

(-7 - 5)/(0 - 4)

(-12)/(-4)

3

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Is it possible for a 5 digit number to be rounded to a 6 digit number
IrinaK [193]
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</span></span>Because the next digit matter, it is not possible for a 5 digit number to be rounded to 6 digit number. 
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3 years ago
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2 years ago
Evaluate the following:<br><br> Options are:<br> -20<br> 0<br> 20<br> The integral diverges
victus00 [196]

Answer:

The integral diverges

Step-by-step explanation:

∫₋₁¹ 10/x² dx

There is a discontinuity in the function at x = 0.  Splitting this into two integrals:

∫₋₁⁰ 10/x² dx + ∫₀¹ 10/x² dx

-10/x |₋₁⁰ + -10/x |₀¹

∞

3 0
3 years ago
10) A rhombus has a<br> diagonal 8.6 mm long<br> and an area of 81.7 mm. what is the<br> perimeter?
BaLLatris [955]

Answer:

P=41.72

Step-by-step explanation:

S=ACxDB/2

81.7=8.6xDB/2

81.7=4.3xDB|:4.3

19(mm)=DB

DO=19/2=9.5

OC=8.6/2=4.3

(O is the center of the rhombus, where two diagonals meet)

a²+b²=c² (DO²+OC²=DC²)

9.5²+4.3²=c²

90.25+18,49=c²

√108,74=√c²

c≈10.43

P=4c

P=4x10.43

P=41.72

Hope it helps:)

6 0
2 years ago
The area of a rectangle has decreased by 2%.
MissTica

Answer:

The other side was decreased to approximately .89 times its original size, meaning it was reduced by approximately 11%

Step-by-step explanation:

We can start with the basic equation for the area of a rectangle:

l × w = a

And now express the changes described above as an equation, using "p" as the amount that the width is changed:

(l × 1.1) × (w × p) = a × .98

Now let's rearrange both of those equations to solve for a / l.  Starting with the first and easiest:

w = a/l

now the second one:

1.1l × wp = 0.98a

wp = 0.98a / 1.1l

1.1 wp / 0.98 = a/l

Now with both of those equalling a/l, we can equate them:

1.1 wp / 0.98 =  w

We can then divide both sides by w, eliminating it

1.1wp / 0.98w = w/w

1.1p / 0.98 = 1

And solve for p

1.1p = 0.98

p = 0.98 / 1.1

p ≈ 0.89

So the width is scaled by approximately 89%

We can double check that too.  Let's multiply that by the scaled length and see if we get the two percent decrease:

.89 × 1.1 = 0.979

That should be 0.98, and we're close enough.  That difference of 1/1000 is due to rounding the 0.98 / 1.1 to .89.  The actual result of that fraction is 0.89090909...  if we multiply that by 1.1, we get exactly .98.

6 0
2 years ago
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