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2 years ago

How do i solve 4x^2-9?

Mathematics

2 answers:

BabaBlast [244]2 years ago

5 0

Use the PEMDAS method!

Irina18 [472]2 years ago

3 0

Answer:

x = 3/2 or x = -3/2

Step-by-step explanation:

Solve for x over the real numbers:

4 x^2 - 9 = 0

The left hand side factors into a product with two terms:

(2 x - 3) (2 x + 3) = 0

Split into two equations:

2 x - 3 = 0 or 2 x + 3 = 0

Add 3 to both sides:

2 x = 3 or 2 x + 3 = 0

Divide both sides by 2:

x = 3/2 or 2 x + 3 = 0

Subtract 3 from both sides:

x = 3/2 or 2 x = -3

Divide both sides by 2:

Answer: x = 3/2 or x = -3/2

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It is known that the distance in metres through which a body falls freely varies directly as the square of the time taken. If a

erma4kov [3.2K]

Answer:

125 meters

Step-by-step explanation:

Let distance = d and time is t

Using the variation;

d = k t^2

So let’s us get k

80 = k * 4*2

16k = 80

k = 80/16 = 5

So for 5 seconds, the distance would be;

d = 5 * 5^2

d = 125 meters

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2 years ago

∠abc measures 115° and ∠dbc measures 70°. What is the measurement of ∠abd?

olasank [31]

Answer:

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Step-by-step explanation:

m< ABC = m< DBC + m< ABD

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2 years ago

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2 years ago

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tensa zangetsu [6.8K]

Answer:

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Step-by-step explanation:

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2 years ago

Ganezh [65]

If two triangles are similar, it means that one is the scaled version of the other.

In similar triangles, correspondant angles are the same, and correspondant lengts are all in the same ratio $r$ . The ratio between the areas is $r^2$ .

So, for example, if the scale ratio is $r = 2$ , all sides of the new triangle are twice as long as the sides of the old one, and the area of the new one is $r^2 = 4$ times the area of the old one.

Since in this case the two areas are equal, their ratio is $r^2 = 1$ . This implied that also $r = 1$ , which means that also correspondant sides are equal.

In other words, these two triangles are not only similar, but congruent. This means that, in particular, all correspondant sides have same length, so the longest side of ABC has a length of 25 as well.

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3 years ago