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3 years ago

Write an equation of the line that is parallel to 3x + 9y = 7 and passes through the point (6, 4).

1 answer:

Ber [7]3 years ago

4 0

First, rearrange the equation to standard line format
3x + 9y = 7
9y = -3x + 7
y = -3/9x + 7/9
y = -1/3x + 7/9

now we know the slope of the line (both the existing and the new parallel one, since they both have the same slope)

y = -1/3x + b

plug in the new point in and solve for b

4 = -1/3(6) + b
4 = -2 + b
b = 6

y = -1/3x + 6 is the equation for the parallel line

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your friend rent 10chairs and 2 tables for $300. another friend rent 8 chairs and 4 tables for $360 you want to rent 12 chairs a

Grace [21]

$x-\ cost\ of\ renting\ chair\\
y-\ cost\ of\ renting\ table\\\\
 \left \{ {{10x+2y=300\ \ \ \ \ \ \ \ \ \ \ \ } \atop {8x+4y=360\ \ \ | divide\ by\ -2}} \right. \\\\
 \left \{ {{10x+2y=300} \atop {-4x-2y=-180}} \right. \\\\+----\\addition\\\\\
6x=120\ \ \ | divide\ by\ 6\\\\
x=20\\\\
y=\frac{300-10x}{2}=150-5x=150-5*20=150-100=50\\\\
12x+3y=12*20+3*50=240+150=390\\\\
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3 years ago

Evaluate the following expressions given x=6 and y=-3

Nana76 [90]

$\purple{5 \times 6 - 4 \times ( - 3)}$

$= 30 + 12$

$\blue{ = \boxed{42}}$

$\purple{ {6}^{2} + \frac{6}{ - 3} }$

$= 36 - 2$

$\blue{ = \boxed{34}}$

$\purple{(6 - 5 {)}^{3} + {( - 3)}^{2} }$

$= {1}^{3} + 9$

$= 1 + 9$

$\blue{ = \boxed{10}}$

Hope it helps

7 0

2 years ago

ANSWER ASAP DUE AT 3:00 PM

Romashka-Z-Leto [24]

Answer:

Step-by-step explanation:

2 fractions with the numerator and different denominators can be compared when you find the lowest common denominators (LCD. For example 1/2 and 1/3 have the same numerator, but the denominators are not so you have to find the LCD. The LCD, in this case, is 6, so the fractions would be 3/6 and 2/6 and now if you compare you can tell that 3/6 is greater than 2/6 so 1/2 is greater than 1/3.

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3 years ago

Read 2 more answers

V is themidpoint of UW. If UV = x + 8 and VW = 9x, what is VW?

user100 [1]

Answer:

x=1

Step-by-step explanation:

If V is the midpoint of the line UW, that would mean that there's an equal distance between UV and 9x. So, the value of UV and VW would eed to be the same.

x+8=9x

8=8x

x=1

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2 years ago

Over the weekend, I bought a dress for $23.96, a pair of

Inga [223]

Answer:

4.94

Step-by-step explanation:

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3 years ago