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Phoenix [80]
2 years ago
15

How do you factor x2-49 ?

Mathematics
2 answers:
expeople1 [14]2 years ago
4 0
--------------------------------------------------
Question
---------------------------------------------------
x² - 49

--------------------------------------------------
Form into 2 perfect squares
---------------------------------------------------
x² - 7²

--------------------------------------------------
Formula
---------------------------------------------------
a² - b² = (a + b) (a - b)

--------------------------------------------------
Apply the formula
---------------------------------------------------
x² - 7² = (x + 7)(x - 7)

--------------------------------------------------
Answer: (x + 7)(x - 7)
---------------------------------------------------
Alborosie2 years ago
4 0
You want to pull out the square roots of each term since they are both perfect squares.

Factor using the difference of squares formula: a2-b2=(a+b)(a-b)
This formula allows the middle term to cancel out.

=x2 - 49
=(x + 7)(x - 7)


ANSWER: (x + 7)(x - 7)

Hope this helps! :)
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Write an equation in slope-intercept form for the line that passes through the point  ( -1 , -2 )  and is perpendicular to the l
mamaluj [8]

The equation in slope-intercept form for the line that passes through the point  ( -1 , -2 )  and is perpendicular to the line − 4 x − 3 y  =  − 5 is y = \frac{3}{4}x - \frac{5}{4}

<em><u>Solution:</u></em>

<em><u>The slope intercept form is given as:</u></em>

y = mx + c ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Given that the line that passes through the point  ( -1 , -2 )  and is perpendicular to the line − 4 x − 3 y  =  − 5

Given line is perpendicular to  − 4 x − 3 y  =  − 5

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-3y = 4x - 5

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On comparing the above equation with eqn 1, we get,

m = \frac{-4}{3}

We know that product of slope of a line and slope of line perpendicular to it is -1

\frac{-4}{3} \times \text{ slope of line perpendicular to it}= -1\\\\\text{ slope of line perpendicular to it} = \frac{3}{4}

Given point is (-1, -2)

Now we have to find the equation of line passing through (-1, -2) with slope m = \frac{3}{4}

Substitute (x, y) = (-1, -2) and m = 3/4 in eqn 1

-2 = \frac{3}{4}(-1) + c\\\\-2 = \frac{-3}{4} + c\\\\c = - 2 + \frac{3}{4}\\\\c = \frac{-5}{4}

\text{ substitute } c = \frac{-5}{4} \text{ and } m = \frac{3}{4} \text{ in eqn 1}

y = \frac{3}{4} \times x + \frac{-5}{4}\\\\y = \frac{3}{4}x - \frac{5}{4}

Thus the required equation of line is found

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konstantin123 [22]

Answer:

a) Michiko needs to buy 18 tins of paint.

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Step-by-step explanation:

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Width (w) = 1.2 m

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4.48 liters = 4.48 × 1000 = 4480 ml

Number of tins needed by Michiko =

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b) Cost of one tin of metal paint = $8.49

∴ cost of 18 tins of paint = $152.82

a) Michiko needs to buy 18 tins of paint.

b) cost of paint would be $152.82

3 0
2 years ago
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