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10 months ago

What is the slope-intercept form of the linear equation 4x + 2y = 24?

Mathematics

2 answers:

uysha [10]10 months ago

6 0

Answer:

y = -2x + 12

Step-by-step explanation:

Given equation,

→ 4x + 2y = 24

The slope-intercept form is,

→ y = mx + b

Converting into slope-intercept form,

→ 4x + 2y = 24

→ 2y = -4x + 24

→ y = (-4x + 24)/2

→ [ y = -2x + 12 ]

Hence, the solution is y = -2x + 12.

USPshnik [31]10 months ago

3 0

Answer:

y = -2x + 12

Step-by-step explanation:

Slope-intercept form

$y=mx+b$

where:

m is the slope.
b is the y-intercept.

Therefore, to find the slope-intercept form of the given linear equation, isolate y:

$\implies 4x+2y=24$

$\implies 4x+2y-4x=-4x+24$

$\implies 2y=-4x+24$

$\implies \dfrac{2y}{2}=\dfrac{-4x}{2}+\dfrac{24}{2}$

$\implies y=-2x+12$

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What is the value of -5 to the 4th power? A) 20 B) 625 C) 125 D) -625

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Answer:

B) 625

Step-by-step explanation:

(-5)^4

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3 years ago

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USPshnik [31]

Answer:

Step-by-step explanation:

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2 years ago

What is the purpose of a standard drink measurement? It allows you to determine if you're getting what you paid for It is a cons

Law Incorporation [45]

Answer:

It is a consistent way of measuring the amount of alcohol in a drink.

Step-by-step explanation:

A standard drink measure is principally used to measure the amount of alcohol in a drink. It may be referred to as equalling the amount you of an alcoholic drink. The standard drink measure contains approximately 14 grams of alcohol. Hence, with with the standard drink measure, a consumer obtain a consistent measure of the alcohol content he/she is consuming. The standard drink measure is an alcohol related measure and not just any drink or food guage.

6 0

2 years ago

Need help with homework

motikmotik

We have two points describing the diameter of a circumference, these are:

$\begin{gathered} A=(-12,-4) \\ B=(-4,-10) \end{gathered}$

Recall that the equation for the standard form of a circle is:

$(x-h)^2+(y-k)^2=r^2$

Where (h,k) is the coordinate of the center of the circle, to find this coordinate, we find the midpoint of the diameter, that is, the midpoint between points A and B.

For this we use the following equation:

$M=(\frac{x_1+x_2_{}_{}}{2},\frac{y_1+y_2}{2})$

Now, we replace and solve:

$\begin{gathered} M=(\frac{-12+(-4)}{2},\frac{-4+(-10)}{2} \\ M=(\frac{-12-4}{2},\frac{-4-10}{2}) \\ M=(\frac{-16}{2},\frac{-14}{2}) \\ M=(-8,-7) \end{gathered}$

The center of the circle is (-8,-7), so:

$\begin{gathered} h=-8 \\ k=-7 \end{gathered}$

On the other hand, we must find the radius of the circle, remember that the radius of a circle goes from the center of the circumference to a point on its arc, for this we use the following equation:

$r^2=\Delta x^2+\Delta y^2$

In this case, we will solve the delta with the center coordinate and the B coordinate.

$\begin{gathered} r^2=((-4)-(-8))^2+((-10)-(-7)) \\ r^2=(-4+8)^2+(-10+7)^2 \\ r^2=4^2+(-3)^2 \\ r^2=16+9 \\ r^2=25 \\ r=5 \end{gathered}$

Therefore, the equation for the standard form of a circle is:

$\begin{gathered} (x-(-8))^2+(y-(-7))^2=25 \\ (x+8)^2+(y+7)^2=25 \end{gathered}$

In conclusion, the equation is the following:

$(x+8)^2+(y+7)^2=25$

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6 months ago

A paper manufacturer is evaluating their packing procedures. Currently, they package twelve reams of paper in a box—in three sta

olga2289 [7]

Each ream weighs 5 lb . so, reducing 10 lb means removing 2 reams from the 12. so, how do we arrange the 10 reams so that its easy to carry?
i thinks that 3 stacks will not work as it wont be a symmetric arrangement as 1 will be left out. So, 2 stacks of 5 each would be easy to carry. but the stacks should be placed in such a way that the lengths are parallel to each other and not in-line which would increase the length making it comparatively longer. its easier to hold a (2*8.5,11,2*5=17,11,17)compact box.

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3 years ago