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3 years ago

Which equation can compare with 3X plus 4Y equals eight to create a consistent and independent system

Mathematics

1 answer:

Scilla [17]3 years ago

3 0

Answer:

A consistent and independent system is any equation that only has one solution. So an another equation that can compare with this to create one solution is an equation that is perpendicular. The slope will be opposite and reciprocal.

This is the first equation in standard form: 3x + 4y = 8

Point-slope form is: y = -3/4x + 2

The second equation in standard form: y = 4/3x + 2

Point-slope form is: -4x + 3y = 6

As you can see, the slopes are opposite and reciprocal, which creates two perpendicular lines when graphed. You can graph these two lines, and see that they have one solution.

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9. A line passes through (2, –1) and (8, 4). a. Write an equation for the line in point-slope form. b. Rewrite the equation in s

babunello [35]

Answer:

Step-by-step explanation:

(4+1)/(8-2)= 5/6

y + 1 = 5/6(x - 2)

y + 1 = 5/6x - 5/3

y + 3/3 = 5/6x - 5/3

y = 5/6x - 8/3

6(y = 5/6x - 8/3)

6y = 5x - 16

-5x + 6y = -16

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2 years ago

Jason is planning to travel to Philadelphia to Orlando. His destination is 1,010 miles one way. If he flies, he can get a one-wa

Marysya12 [62]

A is the answer because it costs $295 for the ticket and $271.9 in total if he drives in car. So therefore driving is less expensive.

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2 years ago

What is the Kinetic energy of a 2000 kg bus that is moving at 30m/s? <br><br> Explain please

agasfer [191]

There's a formula for that.

KE = (1/2)mv²

... = (1/2)(2000 kg)(30 m/s)²

... = 900,000 kg·m²/s²

... = 900,000 J

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It is helpful to know the relationship between kilograms, meters, seconds, and Newtons or Joules.

1 J = 1 kg·m²/s²

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3 years ago

A rectangular pyramid has a volume of 160 cubic feet. Find two possible sets of measurements for the base area and height of the

muminat

$\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=area~of\\ \qquad its~base\\ h=height\\ \cline{1-1} V=160 \end{cases}\implies 160=\cfrac{Bh}{3}\implies 480=Bh \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} 480=&2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 3\cdot 5\\ &8\cdot 60\\ &32\cdot 15 \end{cases}~\hspace{5em}\stackrel{B}{8}\times\stackrel{h}{60}\qquad \qquad \stackrel{B}{32}\times\stackrel{h}{15}$

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3 years ago

Mrs. Swanson gives out only one type of candy for Halloween. The local

xxTIMURxx [149]

Answer:

Cost of 18 pounds candy = $22.5

Cost of 10 pounds candy = $12.5

Cost of 1 pound of candies = $1.25

Step-by-step explanation:

6 pounds of butterscotch candies cost $7.50

⇔ 1 pound of same candy costs $\frac{7.50}{6} =$ $1.25

Now, we need to find the cost of 18 pounds of candy:

as, the cost of 6 pounds candy = $7.50

⇔ Cost of 6 x 3 = 18 pounds candy = $7.50 x 3 = $22.5

Cost of 10 pounds candy = 10 x (Cost of 1 pound candy)

= 10 x ($1.25) = $12.5

The unit rate for butterscotch candies = Cost of 1 pound of candies

= $1.25

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2 years ago