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fomenos
3 years ago
6

jessica wants to fill 20 glasses whit juice. each glass holds eight fl oz does jesica have enough juice to fill 20 glasses

Mathematics
1 answer:
Tema [17]3 years ago
7 0
160 oz of juice is what she needs
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(2, -4), (x, y) , A , and B all lie on the line. Find an equation relating x and y.​
frutty [35]

Answer:

An equation relating x and y is:

y = 3/4x - 5.5

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

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  • b is the y-intercept

Given the points

(2, -4), (x, y), A(6, -1), and B(10, 2)

Taking any two points let say A(6, -1), and B(10, 2) to determine the slope

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(6,\:-1\right),\:\left(x_2,\:y_2\right)=\left(10,\:2\right)

m=\frac{2-\left(-1\right)}{10-6}

Refine

m=\frac{3}{4}

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = -5.5

Thus, the y-intercept b = -5.5

Thus, substituting b = -5.5 and m = 3/4 in the slope-intercept form of the line equation

y = mx+b

y = 3/4x + (-5.5)

y = 3/4x - 5.5

Therefore, an equation relating x and y is:

y = 3/4x - 5.5

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3 years ago
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nirvana33 [79]

Solution:

The given equation is

12x^2 -7x -12 = 0

Now we will factor the middle term as per the ac-method because the given equation is a quadratic equation.

12x^2 -7x -12 = 0\\\\12x^2-16x+9x-12=0\\\\4x(3x-4)+3(3x-4)=0\\\\(3x-4)(4x+3)=0\\\\3x-4=0,or, 4x+3=0\\\\x=\frac{4}{3},x=\frac{-3}{4}\\

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2 years ago
Lorie correctly determines that for the triangles below, the statement pg and the statement both describe the relationship betwe
Tasya [4]

Answer:

The correct option is 1.

Step-by-step explanation:

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In triangle MNO and triangle RTS.

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\angle N\cong\angle T=71.2^{\circ}            (Given)

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Since all corresponding angles are congruent, therefore the triangles MNO and RTS similar.

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