The graph of the line y = -6 is a horizontal line which passes through the y axis at -6. On the other hand, the graph of the equation, x = 1/6 is a vertical line that passes through the x-axis at 1/6. The intersection of these lines is at a point that is expressed as (1/6, -6).

7 0

2 years ago

Can someone answer plz

NeX [460]

1.D 2. A 3.C 4.D

1 Is the monomial as it only contains one expression.

2. Is the difference of squares because something squared minus something squared.

3. Is standard because it is of the form

$a_nx^n+ a_{n-1}x^{n-1}+...+a_1x+a_0$

4. We know D is the not the monomial simply because its power is negative which means it does not fit the definition of a polynomial.

3 0

2 years ago

AveGali [126]

Answer:

Total time taken by walking, running and cycling = 22 minutes.

Step-by-step explanation:

Let the speed of walking = x

As given,

The distance of walking = 1

Now,

As $Time = \frac{Distance }{Speed}$

⇒ Time traveled by walking = $\frac{1}{x}$

Now,

Given that - He runs twice as fast as he walks

⇒Speed of running = 2x

Also given distance traveled by running = 1

Time traveled by running = $\frac{1}{2x}$

Now,

Given that - he cycles one and a half times as fast as he runs.

⇒Speed of cycling = $\frac{3}{2}$ (2x) = 3x

Also given distance traveled by cycling = 1

Time traveled by cycling = $\frac{1}{3x}$

Now,

Total time traveled = Time traveled by walking + running + cycling

= $\frac{1}{x}$ + $\frac{1}{2x}$ + $\frac{1}{3x}$

= $\frac{6+3+2}{6x} = \frac{11}{6x}$

If he cycled the three mile , then total time taken = $\frac{1}{3x}$ + $\frac{1}{3x}$ + $\frac{1}{3x}$ = x

Given,

He takes ten minutes longer than he would do if he cycled the three miles

⇒x + 10 = $\frac{11}{6} x$

⇒ $x - \frac{11}{6} x = -10$

⇒ $-\frac{5}{6}x = -10$

⇒x = $\frac{60}{5}$ = 12

⇒x = 12

∴ we get

Total time traveled by walking + running + cycling = $\frac{11}{6} x = \frac{11}{6} (12) = 11 (2) = 22$ min

7 0

2 years ago

PLEASE HELP, I WILL MARK BRAINLIEST FOR THE FIRST CORRECT ANSWER))

madam [21]

Answer:

The volume of this cylinder is 9184.5 cubic feet.

Step-by-step explanation:

The area of a circle is $\pi r^2$ and the volume of a cylinder with that base is just that area times the height:

$V=\pi r^2\times h$

Here, we're given the diameter, but we need the radius. The radius of a circle is just half of the diameter:

$r=30\times0.5=15$

Next, you can use that radius to calculate the area of the base:

$A=3.14\times15^2\\A=3.14\times225\\A=706.5$

Finally, multiply that by the height to find the volume of the cylinder:

$V=706.5\times13\\V=9184.5$

The volume of this cylinder is 9184.5 cubic feet.

7 0

2 years ago