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aalyn [17]
3 years ago
5

Multiply the following

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
7 0
\frac{5(y+4)}{2}
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Your answer is 0.003%


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Sara's savings account balance changed by -$34 one week and by -$67 the next week .Which amount represents the greater change?
fomenos
<u />The greater change is represented by the absolute magnitude

|-34| = 34
|-67| = 67

67 > 34

<u><em>-67 represents the greater change</em></u>
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3 years ago
Is the given point interior , exterior, or on the circle k (x+2)2 + (y-3)2 =18 P (8,4)
Mnenie [13.5K]
One way would be to find the distance from the point to the center of the circle and compare it to the radius

for
(x-h)^2+(y-k)^2=r^2
the center is (h,k) and the radius is r

and the distance formula is
distance between (x_1,y_1) and (x_2,y_2) is
D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}


r=radius
D=distance form (8,4) to center

if r>D, then (8,4) is inside the circle
if r=D, then (8,4) is on the circle
if r<D, then (8,4) is outside the circle


so
(x+2)^2+(y-3)^2=18
(x-(-2))^2+(y-3)^2=(\sqrt{18})^2
(x-(-2))^2+(y-3)^2=(3\sqrt{2})^2

the radius is 3\sqrt{2}
center is (-2,3)

find distance between (8,4) and (-2,3)

D=\sqrt{(8-(-2))^2+(4-3)^2}
D=\sqrt{(8+2)^2+(1)^2}
D=\sqrt{10^2+1}
D=\sqrt{100+1}
D=\sqrt{101}




r=3\sqrt{2}≈4.2
D=\sqrt{101}≈10.04

do r<D

(8,4) is outside the circle

6 0
3 years ago
Which inequality best represents the domain of the fucntion shown on the graph
GaryK [48]

The domain is the corresponding value of x

so, as shown at the graph :

The line starts at x =

7 0
1 year ago
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