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andrew-mc [135]
3 years ago
7

Which model represent the factors of 4x^2-9

Mathematics
1 answer:
fenix001 [56]3 years ago
6 0

Answer:

(2x - 3)(2x + 3)

Step-by-step explanation:

Given

4x² - 9

This is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

4x² = (2x)² ⇒ a = 2x

9 = 3² ⇒ b = 3, thus

4x² - 9 = (2x - 3)(2x + 3) ← in factored form

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Vlada [557]

Answer:

lenght = 2x + 3

breadth = x - 1

perimeter = 40

Now,

perimeter = 2(l+b)

40= 2( 2x + 3 + x - 1)

40= 2(3x - 2)

40 = 6x- 4

40+4 =6x

44/6 =x

x = 7.33

6 0
3 years ago
Write a sentence that explains the relationship between the two numbers.
insens350 [35]
The second answer is 4 times as small as the first
3 0
3 years ago
Find the value of x to the nearest tenth.
nlexa [21]

Answer:

x = 14.7

Step-by-step explanation:

Using the sine rule

\frac{a}{sin(A)}  = \frac{b}{sin(B)}  = \frac{c}{sin(C)}

Substitute the given values.

\frac{7}{sin(20)}  = \frac{x}{sin(46)}

Rearrange the equation to get x on it's own.

\frac{7sin(46)}{sin(20)}  = x

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8 0
3 years ago
Which represents where f(x) = g(x)?
son4ous [18]

Answer:

Option (1)

Step-by-step explanation:

Two functions 'f' and 'g' have been graphed in the picture attached.

Both the functions will be equal at the points where the values of these functions are equal.

Those points are the point of intersection of both the functions on the given graph.

At x = -4,

f(-4) = g(-4) = 4

At x = 0,

f(0) = g(0) = 4

Therefore, Option (1) will be the answer.

5 0
3 years ago
Given that is directly proportional to (p-1)2 and p is always positive, find the
Arturiano [62]

Answer:

p = 10.8

Step-by-step explanation:

Given that p is directly proportional to (p-1)² and p is always positive, then;

q = k (p-1)²

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30 = 36k

5 = 6k

k = 5/6

To get p when q = 80

q =k (p-1)²

80 = 5/6((p-1)²

480 = 5(p-1)²

480/5 = (p-1)²

(p-1)² = 96

p-1 = √96

p-1 = 9.8

p = 9.8 + 1

p = 10.8

B) 6

Ch 10.82

4 0
3 years ago
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