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3 years ago

Multiply and simplify if possible. sqrt 5x(sqrt x-5 sqrt 5)

1 answer:

5 0

Making the assumption that your problem looks like this,
$\sqrt{5x}(\sqrt{x}-5\sqrt{5})$

we use the distributive property to multiply:
$\sqrt{5x}\times \sqrt{x}-\sqrt{5x}\times5\sqrt{5}
\\
\\ \sqrt{5x^2} - 5\sqrt{25x}
\\
\\ x\sqrt{5}-25\sqrt{x}$

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find the equation of the line passing through the given point and perpendicular to the given equation write your answer in slope

Paraphin [41]

Slope-intercept form:

y = mx + b "m" is the slope, "b" is the y-intercept

For lines to be perpendicular, their slopes have to be the opposite/negative reciprocals (flipped sign and number)

For example:

slope is 2

perpendicular line's slope is -1/2

slope is -2/3

perpendicular line's slope is 3/2

3.) y = 2x - 2

The given line's slope is 2, so the perpendicular line's slope is -1/2

$y=-\frac{1}{2}x+b$ To find "b", plug in the point (-5 , 5) into the equation

$5=-\frac{1}{2}(-5)+b$

$5=\frac{5}{2}+b$ Subtract 5/2 on both sides

$5-\frac{5}{2}=b$ Make the denominators the same

$\frac{10}{2}-\frac{5}{2}=b$

$\frac{5}{2}=b$

$y=-\frac{1}{2}x+\frac{5}{2}$

4.) -6x + 5y = -10 Get "y" by itself, add 6x on both sides

5y = -10 + 6x Divide 5 on both sides

$y=-2+\frac{6}{5}x$

The given line's slope is 6/5, so the perpendicular line's slope is -5/6.

$y=-\frac{5}{6}x+b$ Plug in (-2, 5)

$5 = -\frac{5}{6}(-2)+b$

$5=\frac{10}{6}+b\\ 5=\frac{5}{3}+b$ Subtract 5/3 on both sides

$5-\frac{5}{3} =b$ Make the denominators the same

$\frac{15}{3}-\frac{5}{3}=b\\\frac{10}{3} =b$

$y = -\frac{5}{6}x+\frac{10}{3}$

7.) Perpendicular line's slope is -2

y = -2x + b Plug in (1,4)

4 = -2(1) + b

4 = -2 + b

6 = b

y = -2x + 6

8.) Perpendicular line's slope is -1/4

$y = -\frac{1}{4}x+b$ Plug in (-5 , 2)

$2=-\frac{1}{4}(-5)+b$

$2 = \frac{5}{4}+b$ Subtract 5/4 on both sides

$2-\frac{5}{4}=b$ Make the denominators the same

$\frac{8}{4}-\frac{5}{4}=b$

$\frac{3}{4}=b$

$y=-\frac{1}{4}x+\frac{3}{4}$

5 0

3 years ago

Harris is building a deck around his pool. His contractor charges $525 for labor plus an additional $4.75 per square foot for ma

Degger [83]

The equation used is f(x) = 525 + 4.75x.

5 0

4 years ago

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Make x the subject of h = 4(x + 3y) + 2

Stolb23 [73]

Answer:

x= (h-12y-2)/4

Step-by-step explanation:

First expand the brackets so its 4x+12y+2=h

Then subtract 12y and 2 from both sides

This maxes 4x=h-12y-2

then divide by 4

so its x= (h-12y-2)/4

(you can simplify if you want you dont need to)

3 0

4 years ago

Evaluate each expression.

Sindrei [870]

Answer:

gghifghdfighdfghdfiuhofudk

Step-by-step explanation:

3 0

3 years ago

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Solve the inequality.

Alenkasestr [34]

Answer:

 $x \leqslant - 3$ 

option C is the right option.

Solution,

$\frac{x}{3} - \frac{x - 1}{2} \geqslant 1 \\ = \frac{2x - 3( x - 1)}{6} \geqslant 1 \\ = \frac{2x - 3x + 3}{6} \times 6 \geqslant 6 \\ = 2x - 3x + 3 \geqslant 6 \\ = - x + 3 \geqslant 6 \\ = - x + 3 - 3 \geqslant 6 - 3 \\ = - x \geqslant 3 \\ = - ( - x) \leqslant - 3 \\ = x \leqslant - 3$

hope this helps...

Good luck on your assignment

5 0

4 years ago

Read 2 more answers