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fredd [130]
3 years ago
14

How to factor 49y^{2}-9x^{2}

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
7 0

Answer:

(7y + 3x)(7y - 3x)

Step-by-step explanation:

a² - b² = (a + b)(a - b)

49y² - 9x² = (7y)² - (3x)²                   {a = 7y ; b - 3x}

               = (7y + 3x)(7y - 3x)

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What are the coordinates of the x-intercept(s) of the graph of y=(x-6)(x+5)
MissTica

Answer:

(-5 , 0) and (6 , 0)

Step-by-step explanation:

In order to get the coordinates of the x-intercept(s) of the graph of y=(x-6)(x+5)

we need to solve for x the equation (x-6)(x+5) = 0

(x-6)(x+5) = 0

⇌

x - 6 = 0  or  x + 5 = 0

⇌

x = 6  or  x = -5

therefore

the coordinates are :

(-5 , 0) and (6 , 0)

__________________________

:)

3 0
3 years ago
V=D/T Solve for T. In two Steps and an Answer.
elena-14-01-66 [18.8K]

Answer:

t=v/d

Step-by-step explanation:

id think that there are two steps

v=d/t

divide D on both sides

v/d=d/t/d

v/d=t

7 0
3 years ago
Read 2 more answers
Estimate the unit rate to the nearest hundredth.<br><br> The unit rate is about $_per fluid ounce.
statuscvo [17]

Answer:

The unit rate is about $12per fluid ounce

6 0
2 years ago
Read 2 more answers
Q2) If z is directly proportional to x and z = 12 when x = 3, find the value of x when z = 18.
LenKa [72]

Answer:

4.5

Step-by-step explanation:

→ Set up the direct proportion equation

z = kx

→ Substitute in the values

12 = 3k

→ Divide both sides by 3 to isolate k

4 = k

→ Substitute the value of k back into the original direct proportion equation

z = 4x

→ Substitute the value of z in

18 = 4x

→ Divide both sides by 4 to isolate x

4.5 = x

4 0
3 years ago
Read 2 more answers
Carl bought 19 apples of 2 different varieties to make a pie.The total cost of the apple was $5.10.Granny Smith apples cost $0.2
disa [49]

For this case we propose a system of equations:

x: Let the variable representing the quantity of Granny Smith apples

y: Let the variable representing the number of Gala apples

According to the statement we have:

x + y = 19\\0.25x + 0.30y = 5.10

From the first equation we have to:

x = 19-y

replacing in the second equation:

0.25 (19-y) + 0.30y = 5.10\\4.75-0.25y + 0.30y = 5.10\\4.75 + 0.05y = 5.10\\0.05y = 5.10-4.75\\0.05y = 0.35\\y = \frac {0.35} {0.05}\\y = 7

So, Carl bought 7 Gala apples

On the other hand:

x = 19-7 = 12

So, Carl bought 12 Granny Smith apples

Answer:

Carl bought 7 Gala apples and 12 Granny Smith apples

8 0
3 years ago
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