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3 years ago

What is 679 rounded to the nearest ten

Mathematics

2 answers:

Westkost [7]3 years ago

5 0

679 rounded to the nearest tens place is 680. The 7 is in the 10's place there you round the 7 up

Solnce55 [7]3 years ago

3 0

680 is the answer to that question

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A line passes through the point (–2, 7) and has a slope of –5.

ICE Princess25 [194]

Answer:

Step-by-step explanation:

Let's create an equation in point-slope form, which is: $y-y_1=m(x-x_1)$ , where $(x_1,y_1)$ is the point and m is the slope.

Here, our point is (-2, 7) and our slope is m = -5 so plug these in:

$y -7=-5*(x-(-2))$

$y -7=-5*(x+2)$

Now, if (a, 2) lies on this line, then it should satisfy the equation. So plug in a for x and 2 for y:

2 - 7 = -5(a + 2)

-5 = -5(a + 2)

Divide by -5:

1 = a + 2

Subtract 2 from both sides:

a = -1

Thus, the answer is B.

Hope this helps!

5 0

3 years ago

Read 2 more answers

Order these from least to greatest:<br><br> |–15|, |4|, –|15|, |–5|

Alenkinab [10]

-/15/, /4/, /-5/,/ -15/

6 0

3 years ago

Read 2 more answers

If you are offered one slice from a round pizza (in other words, a sector of a circle) and the slice must have a perimeter of 24

VARVARA [1.3K]

Answer:

A 12 in diameter will reward you with the largest slice of pizza.

Step-by-step explanation:

Let $r$ be the radius and $\theta$ be the angle of a circle.

According with the graph, the area of the sector is given by

$A=\frac{1}{2}r^2\theta$

The arc lenght of a circle with radius $r$ and angle $\theta$ is $r \theta$

The perimeter of the pizza slice is composed of two straight pieces, each of length r inches, and an arc of the circle which you know has length s = rθ inches. Thus the perimeter has length

$2r+r\theta=24 \:in$

We need to express the area as a function of one variable, to do this we use the above equation and we solve for $\theta$

$2r+r\theta=24\\r\theta=24-2r\\\theta=\frac{24-2r}{r}$

Next, we substitute this equation into the area equation

$A=\frac{1}{2}r^2(\frac{24-2r}{r})\\A=\frac{1}{2}r(24-2r)\\A=12r-r^2$

The domain of the area is

$0$

To find the diameter of pizza that will reward you with the largest slice you need to find the derivative of the area and set it equal to zero to find the critical points.

$\frac{d}{dr} A=\frac{d}{dr}(12r-r^2)\\A'(r)=\frac{d}{dr}(12r)-\frac{d}{dr}(r^2)\\A'(r)=12-2r$