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2 years ago

Write the equation 3x-3y=-12 in slope intercept form then graph the line

Mathematics

1 answer:

Eva8 [605]2 years ago

7 0

Do rise/run and u should have your answer

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A piece of wire of length 7070 is cut, and the resulting two pieces are formed to make a circle and a square. Where should the

lyudmila [28]

Answer:

a.x=39.2

b.Use whole wire as a circle

Step-by-step explanation:

We are given that

Length of piece of wire=70 units

Let length of wire used to make a square =x units

Length of wire used in circle=70- x

Side of square= $\frac{perimeter\;of\;square}{4}=\frac{x}{4}$

Circumference of circle= $2\pi r$

$70-x=2\pi r$

$r=\frac{70-x}{2\pi}$

Combined area of circle and square,A= $(\frac{x}{4})^2+\pi(\frac{70-x}{2\pi})^2$

Using the formula

Area of circle= $\pi r^2$

Area of square= $(side)^2$

a. $A=\frac{x^2}{16}+\frac{4900+x^2-140x}{4\pi}$

Differentiate w.r.t x

$\frac{dA}{dx}=\frac{x}{8}+\frac{2x-140}{4\pi}$

$\frac{dA}{dx}=0$

$\frac{x}{8}+\frac{2x-140}{4\pi}=0$

$\frac{\pi x+4x-280}{4\pi}=0$

$\pi x+4x-280=0$

$x(\pi+4)=280$

$x=\frac{280}{\pi+4}$

x=39.2

Again differentiate w.r.t x

$\frac{d^2A}{dx^2}=\frac{1}{8}+\frac{1}{2\pi}$ >0

Hence, the combined area of circle and the square is minimum at x=39.2

b.When the wire is not cut and whole wire used as a circle . Then, combined area is maximum.

3 0

2 years ago

If anyone could help it would mean a lot! It's worth 67 points and the correct answer will get brainlyess answer

Trava [24]

13.125, You would multiply the 3 values you were given to find the volume

5 0

2 years ago

If a car’s speed is 70 miles per hour on a road surface with a drag factor of 0.50 and with a breaking efficiency of 85% (n = .8

hichkok12 [17]

Answer:

About 384.3 feet

Step-by-step explanation:

The formula for that is given by,

$S= \sqrt{30 \times d \times f \times n}$

Where,

S is the speed of the car

d is the distance of skid

f is the drag factor for the road surface

n is breaking efficiency as percentage

Putting the values we get,

$S^2= 30 \times d \times f \times n$

$d= \frac{S^2}{30 \times f \times n}$

$d = \frac{70^2}{30 \times 0.50 \times 0.85} = 384.3$ feet

So the length of skid marks would be 384.3 feet.

8 0

2 years ago

Street H is perpendicular to the line 2x –3y = –4 and goes (0, –6). Write this street’s equation in standard form.

storchak [24]

Answer:

I think its 68 + 1 = 69

Step-by-step explanation:

6 0

2 years ago

Find the domain of the graphed function!

ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

you can see that the graph only extends from 2 to 5, and because of the closed circles you know its ≤ not < for the signs

8 0

2 years ago