Mathematics, 02.07.2020 19:01, wonderland12372

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answered: Mikey5818

A. 8

B. -7

C. -7

D. 11

E. 3

F. 51

Step-by-step explanation:

answered: millie54

a)8 b)-7 c)-7 d)11 e)3 f)51

Step-by-step explanation:

For all of these problems all we have to do is determine which signs we're using. If we have two negatives, it makes a positive. If we have a negative and a positive, it forms a negative sign.

A) -4 is negative and we have no signs in front so it just stays the same for now. +(+10) will be positive 10. So, -4+10=6 +(+4)=10

Now, we have +(-2) and that would be minus 2. So, 10-2=8

Make sure to add/subtract from left to right

b)5-8+3-7=-7

c)-19+14+21-23

-19+14=-5

-5+21=16

16-23=-7

d)5+10-4=11

e)-3+3+3=3

f)26+32-15+8=51

answered: Guest

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation:

answered: Guest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

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