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geniusboy [140]

3 years ago

12

Which expressions are equivalent to 3x + 2(x − 1) − 4?

1 answer:

alina1380 [7]3 years ago

4 0

5x-6 is equivalent. This is because 2 (x-1) becomes 2x-2, which makes the expression 3x+2x-2-4, which when put all together becomes 5x-6.

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Find an equation for the line that passes through the points (5.-5) and (-4,-2)

ANEK [815]

Answer:

$\large\boxed{y=-\dfrac{1}{3}x-\dfrac{10}{3}\to x+3y=-10}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (5, -5) and (-4, -2).

Substiute:

$m=\dfrac{-2-(-5)}{-4-5}=\dfrac{-2+5}{-9}=\dfrac{3}{-9}=-\dfrac{1}{3}$

Put the value of the slope and the coordinates of the point (5, -5) to the equation of a line:

$-5=-\dfrac{1}{3}(5)+b$

$-5=-\dfrac{5}{3}+b$ <em>add 5/3 to both sides</em>

$-\dfrac{15}{3}+\dfrac{5}{3}=b\\\\-\dfrac{10}{3}=b\to b=-\dfrac{10}{3}$

Finally we have the equation of a line in the slope-intercept form:

$y=-\dfrac{1}{3}x-\dfrac{10}{3}$

Convert to the standard form <em>(Ax + By = C)</em>:

$y=-\dfrac{1}{3}x-\dfrac{10}{3}$ <em>multiply both sides by 3</em>

$3y=-x-10$ <em>add x to both sides</em>

$x+3y=-10$

4 0

3 years ago

What number can be add to <br><img src="https://tex.z-dn.net/?f=%20%7B9x%7D%5E%7B2%7D%20%20%2B%2024x" id="TexFormula1" title=" {

4vir4ik [10]

The required number will be 16

the expression will be like :

$9 {x}^{2} + 24x + 16$

$(3x) {}^{2} + (2 \times 3x \times 4) + (4) {}^{2}$

$(3x + 4) {}^{2}$

hope it helps you cap !!

Anti - Venom

5 0

3 years ago

Help The area of a square

DIA [1.3K]

Answer:

$2551\dfrac{1}{2}$

Step-by-step explanation:

$\bf l = 20\dfrac{\sf 1}{4} \ in = \dfrac{81}{4} \ in$

$\bf w = 10\dfrac{1}{2} = \dfrac{21}{2} \ in\\\\\\h = 12 \ in$

Volume of rectangular prism = l*w*h

$= \dfrac{81}{4}*\dfrac{21}{2}*12\\\\\\= 81 *\dfrac{21}{2}*3\\\\\\= \dfrac{5103}{2}\\\\\\= 2551 \dfrac{1}{2} \ cubic \ inches$

3 0

1 year ago

Read 2 more answers

Estimate a 15% tip on a dinner bill of $31.53 by first rounding the bill amount to the nearest ten dollars.

Nookie1986 [14]

Answer:

Should be around 4.5

Step-by-step explanation:

If you round 31.53 to the nearest ten dollars, you get 30, 15 percent of 30 is 4.5

6 0

2 years ago

Read 2 more answers

how to factor -9z^2 + 10z - 1 = 0 it’s been a while since i’ve been in school and i can’t seem to remember how please help

vichka [17]

Answer:

z = 1/9 and z = 1

Step-by-step explanation:

$-9 z^{2} + 10z - 1 = 0$

$(-9z+1)(z-1) = 0$

You can check the answer using foil method

Then,

$(-9z+1) = 0$

$-9z = -1$

$z = 1/9$

$(z-1) = 0$

$z = 1$

Answers:

$z = 1/9$

$z = 1$

7 0

2 years ago