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2 years ago

Find the value of x.

Mathematics

1 answer:

ruslelena [56]2 years ago

8 0

Answer:

Step-by-step explanation:

(10 - x ) / x = 3/2 Cross Multiply

2*(10 - x) = 3x Remove the brackets

20 - 2x = 3x Add 2x to both sides

20 = 3x + 2x

5x = 20 Divide both sides by 5

x = 20/5

x = 4

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Write the equation of a line that is perpendicular to the given line that passes through the given point.

ipn [44]

<h2>Answer:</h2>

First we must find the opposite-reciprocal of the original slope.

current slope: $\frac{7}{3}$

new slope: $-\frac{3}{7}$

Using the new slope and the given point, we will plug them into slope-intercept form and solve for b, the y-intercept.

$9 = -\frac{3}{7}(-4) + b\\\\9 = \frac{12}{7} + b\\\\-\frac{51}{7} = b$

The y-intercept is $-\frac{51}{7}$ .

Now, we can write the formula for the new line.

Slope-intercept form: $y = -\frac{3}{7}x - \frac{51}{7}$

Point-slope form: $y - 9 = -\frac{3}{7}(x + 4)$

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2 years ago

Find the value of x.

lawyer [7]

Answer:

$\huge\boxed{x=\sqrt{70}}$

Step-by-step explanation:

ΔABC and ΔADB are similar (AAA).

Therefore the corresponging sides are in proportion:

$\dfrac{AB}{AD}=\dfrac{AC}{AB}$

Substitute:

$AB=x\\AC=7+3=10\\AD=7$

$\dfrac{x}{7}=\dfrac{10}{x}$ <em>cross multiply</em>

$(x)(x)=(7)(10)\\\\x^2=70\to x=\sqrt{70}$

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3 years ago

Ana uses Talk-A-Lot and Peter uses Talk-to-Me. Each company charges

mr Goodwill [35]

Answer:

They both talk for a different amount of time

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2 years ago

The price of a new car was $12 500 It is reduced to £11 625 Work out the percentage reduction

cricket20 [7]

Answer:

12,500-11,625=875

875/12,500=7/100

7/100*100=7

The percentage reduction is 7%

P.S * represents multiplication

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2 years ago

Help me. ill give brainliest :D

Setler79 [48]

Answer:

whoa

Step-by-step explanation:

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3 years ago