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raketka [301]
3 years ago
12

Using compatible numbers, which is the best estimate of (28.5)(7.1)? 36 40 210 300

Mathematics
1 answer:
kifflom [539]3 years ago
7 0

Answer:

210

Step-by-step explanation:

29*7 = 203, 203 is the closest number to 210!

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What is the equation of this circle in standard form?
creativ13 [48]

Answer:

Option C.

Step-by-step explanation:

Note : In the given points one point is (8,-2) instead of (-6,-2).

The standard form of a circle is

(x-h)^2+(y-k)^2=r^2

where, (h,k) is center of circle and r is radius.

It is given that center of the circle is (-1,-2). So,

h=-1,k=-2

(x-(-1))^2+(y-(-2))^2=r^2

(x+1)^2+(y+2)^2=r^2    ...(1)

It is given that the circle passing through the point (8,-2),(-1,5),(6,-2),(-1,-9).

Substitute x=6 and y=-2 in equation (1).

(6+1)^2+(-2+2)^2=r^2

(7)^2+(0)^2=r^2

49=r^2

Substitute r^2=49 in equation (1).

(x+1)^2+(y+2)^2=49

Therefore, the correct option is C.

8 0
3 years ago
What are rational and irrational numbers?? I tried looking it up, but I still don't get it!
ValentinkaMS [17]
In rational numbers, fractions are whole numbers, while irrational numbers cannot be expressed by a fraction
5 0
3 years ago
2+2 idk help me<br><br> free points
MissTica

Answer:

4

Step-by-step explanation:

i think

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5 0
3 years ago
Read 2 more answers
Write in slope-intercept form an equation of the line that passes through the points (−4, 2) and (6,−3).
Citrus2011 [14]

Answer:

<h2>         y = -0.5x </h2>

Step-by-step explanation:

\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}

(−4, 2)    ⇒     x₁ = −4,  y₁ = 2

(6,−3)     ⇒     x₂ = 6,  y₂ = −3

So the slope:

\bold{m=\dfrac{-3-2}{6+4}=\dfrac{-5}{10}=-0.5}

The point-slope form of the equation of the line passing through point (x₀,y₀) and with slope m is:  y - y₀ = m(x - x₀)

m = -0.5

(−4, 2)    ⇒     x₀ = −4,  y₀ = 2

Therefore:

               y - 2 = -0.5(x - (-4))

               y - 2 = -0.5x - 2               {add 2 to both sides}

               y = -0.5x          ←  the slope-intercept form of the equation (b=0)

3 0
3 years ago
XY= 3a+2b ZY=6a+4b , write two statements about the relationship between points X,Y and Z.
olga2289 [7]

Answer:

X=\frac{Z}{2}

It is the first statement about the relationship between points X, Y, and Z.

X=\frac{3a+2b}{Y}

It is the second statement about the relationship between points X, Y, and Z.

Step-by-step explanation:

Given,

XY=3a+2b\quad \quad ...(i)\\ZY=6a+4b\quad \quad ...(ii)

Now from the equation (ii),

Y=\frac{6a+4b}{Z}

put this in the equation (i),

X\left(\frac{6a+4b}{Z}\right)=3a+2b

\Rightarrow X=\frac{Z}{6a+4b}(3a+2b)

\Rightarrow X=\frac{Z}{2(3a+2b)}(3a+2b)

\Rightarrow X=\frac{Z}{2}

It is the first statement about the relationship between points X, Y, and Z.

\because XY=3a+4b

\Rightarrow X=\frac{3a+2b}{Y}

It is the second statement about the relationship between points X, Y, and Z.

6 0
3 years ago
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