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4 years ago

24 POINTS!!!!!!!!!!!!!!!!!! Factor the expression. 4d + 12

Mathematics

1 answer:

marin [14]4 years ago

5 0

Hi there.

Factor
4d + 12
4( d + 3)

I hope that's help !

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The distances between three cities on a map are 45 miles, 56 miles, and 72 miles. Do the positions of

ollegr [7]

Answer:

The position of the three cities do not form a right-triangle.

Step-by-step explanation:

There are three cities on a map (say A, B, and C).

Now, the distances between them are 45 miles, 56 miles, and 72 miles.

i.e. AB= 45 miles, BC= 56 miles and CA =72 miles.

If the three cities A, B, C form a right-angled triangle on the map, then applying Pythagoras Theorem AB² +BC² =AC²

or, AC= √(AB² +BC²) must be satisfied.

Now, right-hand side of the above equation =√(45²+56²) =71.84 ≠ 72 (AC)

Hence, Right-hand side ≠ Left-hand side.

Therefore, the positions of the three cities do not form a right triangle. (Answer)

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4 years ago

Which of the following expressions correctly uses the properties of summations to represent

madam [21]

Answer:

Option C is correct.

$7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18$

Step-by-step explanation:

Given the expression: $\sum_{i=1}^{18} (7i^2+9)$

Using properties of summation:

$\sum_{i=1}^{n} (a+bi) =\sum_{i=1}^{n} a + \sum_{i=1}^{n} bi$

$\sum_{i=1}^{n} a = an$

Using properties of summation in the given expression we have;

$\sum_{i=1}^{18} (7i^2+9)$

= $\sum_{i=1}^{18} 7i^2 + \sum_{i=1}^{18} 9$

= $7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18$

Therefore, the following given expression uses the properties of summation to represents is, $7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18$

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3 years ago

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Please provide the answer

Lemur [1.5K]

.41, just move the decimal over 2 places when there is a percentage

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3 years ago

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A door frame is 7 feet high. In order to accommodate a larger door, the frame

Artemon [7]

First you need to get 3% of 7 so
7x0.03= 0.21
then you need to add that 3% onto 7
7+0.21=7.21
therefore the door frame is now 7.21 feet high

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3 years ago

A circuit with which components has the highest current with the given voltages?

True [87]

Answer:

the answer is A

Step-by-step explanation:

Got it correct on edge

plz mark brainliest if correct

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3 years ago

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