In the equation (y-7)=(3)/(4)(x-5) a point on that line is1.(-5,-7)
2.(7,5)
3.(-7,-5)
4.(5,7)

Answers

Answer 1

Answer:

Answer:

First find the slope of the straight line, m=(Y2-Y1)/(X2-X1)=(17–7)/(-5–0)=-2.

Using the standard equation of a straight line, y=mx+b, we know that m=-2.

Thus, so far we know that y=-2x+b.

Now plug in the coordinates of either of the above points, that we know do lie on the straight line, into our equation, y=-2x+b, and solve for b.

I will use the first point, (0,7), to get 7=(-2)(0)+b.

Solving for b, we see that b=7.

Therefore, the equation of the straight line is y=-2x+7.

It is a good idea to check your answer on a graphing calculator.

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Identify which equations have one solution, infinitely many solutions, or no solution. No

Answers

Answer: all of them have one solutions

Step-by-step explanation:

PLS HURRY use the graph to answer the question. Which table of ordered pairs shows a proportional relationship? x 1 12
y 2 6

x 5 12
y 10 6

x 5 8
y 10 4

x 3 5
y 6 10

Answers

Both lines on the graph show proportional relationships. You want to choose the table that has both of its points on the same line. That would be the 4th one:

... x 3 5

... y 6 10

i got the same answer as the other dude but i dont know if i did it the right way. i multiplyed each number opisite from the other so 10 x 3 and 6 x 5 and they both equaled 30 so i guess.?? tell me if i solved this right. probbaly not

Write an equivalent expression by distributing the "-−" sign outside the parentheses:-(9v+6.3w-3.3)

Answers

Answer:

parethses is expressed of the sign air water land etc

Step-by-step explanation:

The base of an aquarium with given volume V is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials. (Let x, y, and z be the dimensions of the aquarium. Enter your answer in terms of V.)

Answers

Answer:

The dimensions of the aquarium that minimize the cost of the materials:

$x=y=\sqrt[3]{(2V)/(5)}\nz=\sqrt[3]{(25V)/(4)}$

Step-by-step explanation:

Let x, y and z be the dimensions of aquarium .

Surface area of an aquarium = xy+2yz+2xz

Volume of aquarium V= $Length * Breadth * Height=xyz$ ----A

We are given that slate costs five times as much (per unit area) as glass

So, Cost function : C=5xy+2yz+2xz

Now we will use langrage multiplier to find the dimensions of the aquarium that minimize the cost of the materials.

$\nabla C =\lambda \nabla V$

$((\partial C)/(\partial x),(\partial C)/(\partial y),(\partial C)/(\partial z))= \lambda ((\partial V)/(\partial x),(\partial V)/(\partial y),(\partial V)/(\partial z))$