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IgorLugansk [536]
3 years ago
10

Factor out this expression: 4x² - 9y2

Mathematics
1 answer:
Marta_Voda [28]3 years ago
5 0

Answer:

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

Step-by-step explanation:

a² - b² = (a + b)(a - b)

4x² - 9y²

= (2x)² - (3y)²

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

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Write the equation of a line that is parallel to y=0.6x + 3 and that passes through the point (-3,-5)
Mkey [24]

Answer:

\large\boxed{y=0.6x-3.2}

Step-by-step explanation:

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

We have

y=0.6x+3

Parallel lines have the same slope. Therefore we have the equation:

y=0.6x+b

The line passes through the point (-3, -5). Put the coordinates of the point to the equation and solve it for b:

-5=0.6(-3)+b

-5=-1.8+b            <em>add 1.8 to both sides</em>

-3.2=b

Finally we have:

y=0.6x-3.2

8 0
2 years ago
What is the denominator of 13 over 107 in simplest form
Pavel [41]

13/107 can't be simplified but in decimal form it would be 0.121495327103.


5 0
3 years ago
Which explanation provides the best real-world scenario of the graph? If an object is dropped from a height of 38 feet, the func
ikadub [295]
The equation that models the movement of the object is:
 h (t) = (1/2) * (a) * (t ^ 2) + v0 * t + h0&#10;
 Where,
 t: time
 a: acceleration due to gravity
 v0: initial speed
 h0: initial height
 Suppose that the object falls with zero initial velocity and from a height of 38 feet.
 The equation that models the problem is:
 h (t) = -16t ^ 2 + 38&#10;
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If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
5 0
3 years ago
What is a solution to the equation 1/8=2/5•x
sleet_krkn [62]
The answer is: x=5/16
3 0
3 years ago
Read 2 more answers
Find sin X, sin Z, cos X, and cos Z. Write each answer as a simplified fraction.
just olya [345]

Answer:

Find the answers below

Step-by-step explanation:

Using m<X as the reference angle

Opposite YZ = 7

Adjacent  XY = 10

Hypotenuse XZ = √149

Using the SOH CAH TOA identity

sinX = opp/hyp

sinX =YZ/XZ

sinX = 7/√149

For cos X

cos X = adj/hyp

cos X =10/√149

Using m<Z as reference angle;

Opposite XY = 10

Adjacent  YZ = 7

Hypotenuse XZ = √149

Using the SOH CAH TOA identity

sinZ = opp/hyp

sinZ =10/√149

sinZ = 7/√149

For cos Z

cosZ = 7/√149

7 0
2 years ago
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