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3 years ago

The number sentence 4x6=6x4 is an example of what property

Mathematics

1 answer:

Nana76 [90]3 years ago

4 0

The commutative property of multiplication

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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

4 years ago

two and a half times a number plus six is equal to three times the same number plus four and a quarter

Daniel [21]

Answer:

2(1/2)x + 6 = 3x + 4(1/4)

8 0

3 years ago

Can I have these questions answered,

weeeeeb [17]

1. 37.0952380952 or if rounded 38
2. 49.05 or if rounded 49.1 or 49
3. 2.84375 or if rounded 2.8 or 3

3 0

3 years ago

How many fifths is 7?

Harlamova29_29 [7]

7 is the same thing as 7/1
we can multiply 7/1 by 5/5
which is 35/5

There are 35 fifths in 7

Hope it helps

7 0

3 years ago

A. What is the difference in height between 30 m up a cliff and 87 m up a cliff? What is the distance between these positions?

Iteru [2.4K]

Answer:

A. 57m B. 130m

Step-by-step explanation:

For problem A:

87m up a cliff - 30m up a cliff = 57m up a cliff

These are all positive values

For problem B:

100m above is talking about a positive value, making this a positive number

30m below is talking about a negative value, making this number -30

0 meters represents the surface

As you can see, this is forming a number line as of which

below the surface------------------------0m-------------------------above the surface

by substitution,

-30-----------------------------------------------0-------------------------------100

therefore, 100 - -30 = 130 meters

7 0

3 years ago