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ankoles [38]
3 years ago
6

What is the solution set to the equation 4x2 – 16 = 0?

Mathematics
2 answers:
kykrilka [37]3 years ago
6 0

Answer:

x = ± 2

Step-by-step explanation:

Given

4x² - 16 = 0 ( add 16 to both sides )

4x² = 16 ( divide both sides by 4 )

x² = 4 ( take the square root of both sides )

x = ± \sqrt{4} = ± 2

solutions are x = - 2, x = 2

Luda [366]3 years ago
4 0

Answer:

2

Step-by-step explanation:

add 16 to zero

4x2=16

Divide 4x by 2 and 16 by two

4x=8

divide 8 by 4

x=2

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A light post, shown below, is set in concrete and supported with a wire
nadya68 [22]

Answer:

Step-by-step explanation:

Twelve

You are correct, but I have a small comment.

As far as I can see, you have both 12 and 13 correct. The short way to do 12 is just to divide 72 into 360

360 / 72 = 5

The more general formula  is 360 / central angle = # of sides.

What the question means is that if your start with a polygon (it is a regular polygon by the way), and rotate it around its center, how many sides does it have in order that when you go through 72 degrees, the figure looks like it did when you started.

If the polygon is completely unmarked, then the idea is that it will look like you haven't done anything to the polygon even though you have rotated it 72 degrees.

The way you did 13 is exactly how it should be done.

7 0
4 years ago
What is the product of 2x - 5 and 3x2 + 5x - 7? Write your answer in standard form.
andrew11 [14]

Answer:

a) 6x³ − 5x² − 39x + 35

b) no

Step-by-step explanation:

(2x − 5) (3x² + 5x − 7)

Distribute:

3x² (2x − 5) + 5x (2x − 5) − 7 (2x − 5)

Distribute again:

6x³ − 15x² + 10x² − 25x − 14x + 35

Combine like terms:

6x³ − 5x² − 39x + 35

5x − 2 is the opposite of 2x − 5, so you would get the negative of the answer from part (a).

8 0
3 years ago
The advertising and sales model of a company is given by the function S = 2t2 + 100, where t is time in months and t ≥ 0. If adv
Vikentia [17]

Answer:

The transformation will occur to this model by shifting along the x-axis.

Step-by-step explanation:

The advertising and sales model of a company is given by the function S = 2t^{2} + 100, where t is the time in months and t ≥ 0.

Now, if advertising is delayed by a month, then the x-variable i.e. t will have values added with 1.

Therefore, the transformation will occur to this model by shifting along the x-axis. (Answer)

7 0
3 years ago
If a = 4 units, b = 7 units, and c = 12 units, what is the volume of the three prisms above?
tino4ka555 [31]

Answer:

336 units

Step-by-step explanation:

When finding volume of a cube or prism multiply the its length width and height together.

4 × 7 × 12 = 336

7 0
3 years ago
AMY RAN 20 MILES MORE THAN JIMMY LAST WEEK, AMY
Mashcka [7]

Answer:

Jimmy ran 12 miles last week.

Step-by-step explanation:

32-20=12

8 0
3 years ago
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