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Monica [59]
2 years ago
11

Rewrite, using the distributive property. -3(20 + -29d) = [?] + [ ]d​

Mathematics
1 answer:
tiny-mole [99]2 years ago
3 0

Answer:

-60+87d

     or

87d-60

Step-by-step explanation:

-3(20+-29d)=

-60+87d

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grigory [225]

Answer and Step-by-step explanation:

The answer is the last answer choice.

g(x) = -(x + 2)^2 + 1

We don't even have to look at the numbers to tell that this is the correct answer. We look at what is being placed there.

The equation for a transformed function is:

f(x) = a(x-h)^2 + k

a determines the scale of the graph and whether the graph opens up or down.

h determines whether the graph shifts left or right.

k determines whether the graph shifts up or down.

We see that there is a -1 for a, which means the graph will be facing downwards. We see a 2 for where h is, but it really is a -2, and when it becomes a positive after simplifying, the graph will shift to the left.

k is a positive 1, so the graph will be shifted up 1 unit.

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5 0
2 years ago
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Triangle DEF (not shown) is similar to ABC shown, with angle B congruent to angle E and angle C congruent to angle F. The length
Bezzdna [24]

Answer:

Area of ΔDEF is 45\ cm^2.

Step-by-step explanation:

Given;

ΔABC and  ΔDEF is similar and ∠B ≅ ∠E.

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Area of ΔABC = 5\ cm^2

Solution,

Since, ΔABC and  ΔDEF is similar and ∠B ≅ ∠E.

Therefore,

\frac{Area\ of\ triangle\ 1}{Area\ of\ triangle\ 2} =\frac{AB^2}{DE^2}

Where triangle 1 and triangle 2 is  ΔABC and  ΔDEF respectively.

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

\frac{5}{Area\ of\ triangle\ 2} =\frac{2^2}{6^2}\\ \frac{5}{Area\ of\ triangle\ 2}=\frac{4}{36}\\ Area\ of\ triangle\ 2=\frac{5\times36}{4} =5\times9=45\ cm^2

Thus the area of  ΔDEF is 45\ cm^2.

4 0
3 years ago
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never [62]

Answer:

Random sampling

Step-by-step explanation:

Random sampling is a method of choosing a sample of observations from a population to make assumptions about the population. It is also called probability sampling.

6 0
2 years ago
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Vikki [24]
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