㏒ x+x = 5 solve the equation

A line passes through the points (–3, –4) and (6, 2). What number is the x-intercept?

LuckyWell [14K]

Answer:

Step-by-step explanation:

$\bold{METHOD\ 1}$

$\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{x-intercept:}\ (x,\ 0).\\\\\text{Susbtitute the coordinates of the points to the formula of a slope}\\\\(-3,\ -4),\ (6,\ 2),\ (x,\ 0):\\\\m=\dfrac{2-(-4)}{6-(-3)}=\dfrac{2+4}{6+3}=\dfrac{6}{9}=\dfrac{6:3}{9:3}=\dfrac{2}{3}\\\\m=\dfrac{0-2}{x-6}=\dfrac{-2}{x-6}\\\\\text{Therefore we have the equation:}\\\\\dfrac{-2}{x-6}=\dfrac{2}{3}\qquad\text{cross multiply}\\\\2(x-6)=(-2)(3)\\\\2(x-6)=-6\qquad\text{divide both sides by 2}\\\\x-6=-3\qquad\text{add 6 to both sides}\\\\x=3$

$\bold{METHOD\ 2}\\\\\text{Look at the picture.}$

Mark points in the coordinate system.

Lead a line through these points.

Read x-intercept.

5 0

3 years ago

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Which expression is equivalent to the square root of 1/8

irina1246 [14]

When you say "which," it sounds like it should be multiple choice. Anyways, here's the simplified form of $\sqrt{\frac{1}8}}$

$\sqrt{\frac{1}8}} = \frac{\sqrt{1}}{\sqrt{8}} = \frac{1}{\sqrt{8}} * \frac{\sqrt{8}}{\sqrt{8}}=\boxed{\frac{\sqrt{8}}8}$

(When simplifying fractions, you should <em>never</em> have a square root on the bottom. Multiply by the square root to cancel it out)

4 0

3 years ago

In a sale, normal prices are reduced by 17%. The normal price of a washing machine is reduced by £42.50

Misha Larkins [42]

Answer: The original price of washing machine is $250.

Step-by-step explanation:

Since we have given that

Rate of decline in normal prices = 17%

Amount of normal price reduced by = $42.50

Let the original price be x

According to question,

$\frac{17}{100}\times x=42.50\\\\x=\frac{100}{17}\times 42.50\\\\x=\$250$

Hence, The original price of washing machine is $250.

8 0

3 years ago

64,223=_____=641.23<br>

FrozenT [24]

Answer: Check

12^10 × 12^(-2) = 12^(10 - 2) = 12^8

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Second option : ---

3^2 × 4^6 = 3^2 × 4^2 × 4^4 = 12^2 × 4^4

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Third option : ---

(12^8)^0 = 12^(8 × 0) = 12^0 = 1

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4th option : Check

12^10 / 12^2 = 12^10 × 12^(-2) = 12^(10 - 2)

= 12^8

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5th option : Check

2^8 × 6^8 = ( 2 × 6 )^8 = 12^8

Step-by-step explanation:

3 0

3 years ago

Is this right from greatest to least or do I have to change anything???

Alinara [238K]

Answer:

Yes its correct

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers