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emmainna [20.7K]

4 years ago

13

Lucy fills a bathroom sink with water. Is the amount of water more than one liter, about one liter, or less than one liter . Exp

lain how you know.

1 answer:

seropon [69]4 years ago

6 0

More than one liter because it only depends how bog your sink is...I believe it is more than one liter

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Write the equation in slope-intercept form then change it to standard form with integer coefficients.

SCORPION-xisa [38]

Answer:

1. Slope-intercept form: $y = 2x - 4$

Standard form: $2x - y = 4$

2. Slope-intercept form: $y = \dfrac12x - 1$

Standard form: $x - 2y = 2$

3. Slope-intercept form: $y = \dfrac45x + \dfrac{21}{5}$

Standard form: $4x -5y = - 21$

Step-by-step explanation:

Slope intercept form: $y = mx + b$

where:

$y$ = y-coordinate
$m$ = slope
$x$ = x-coordinate
$b$ = y-intercept

Standard form: $Ax + By = C$

$\textsf{1. as} \ m=2: \ \ y = 2x + b$

$\textsf{at} \ (6, 8): \ \ 8 = 2(6) + b$

$\implies b = -4$

Slope-intercept form: $y = 2x - 4$

Standard form: $2x - y = 4$

$\textsf{2. as} \ \ m = \dfrac12: \ \ y = \dfrac12x + b$

$\textsf{at} \ (4, 1): \ \ 1 = \dfrac12(4) + b$

$\implies b = -1$

Slope-intercept form: $y = \dfrac12x - 1$

Standard form: $x - 2y = 2$

$\textsf{3. as} \ \ m = \dfrac45: \ \ y = \dfrac45x + b$

$\textsf{at} \ (1,5): \ \ 5 = \dfrac45(1) + b$

$\implies b = \dfrac{21}{5}$

Slope-intercept form: $y = \dfrac45x + \dfrac{21}{5}$

Standard form: $4x -5y = - 21$

7 0

2 years ago

Suppose that all of the points on the circular dartboard shown are equally likely to be hit by a dart. If the radius of the shad

inn [45]

Answer:

94%

Step-by-step explanation:

3 0

3 years ago

What is an exact solution for <br><img src="https://tex.z-dn.net/?f=m%20%5Csqrt%7B14%7D%20" id="TexFormula1" title="m \sqrt{14}

AlexFokin [52]

Answer: Choice B) $\sqrt{14}$

We have some value m and we're squaring it to get $m^2$

To undo this and isolate m, we apply the square root to both sides

$m^2 = 14\\\\\sqrt{m^2} = \sqrt{14}\\\\|m| = \sqrt{14}\\\\m = \sqrt{14} \text{ or } m = -\sqrt{14}$

There are two solutions here. This is similar to how there are two solutions in something like $x^2 = 25$ (those two solutions being x = 5 and x = -5). Squaring any negative number leads to a positive result because

negative times negative = positive.

8 0

3 years ago

223,682 divided by 42 (standard algorithm) im so stuck

julia-pushkina [17]

Answer:

its 5325.76190476

or 5325.8 if you want to round it

Step-by-step explanation:

3 0

3 years ago

Through (7,2); parallel to 3x-y=8.

Dovator [93]

Answer:

x=4 y=4

Step-by-step explanation:

4 0

3 years ago