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1 year ago

5/8y-12= -7 im stuck 9th grade math

Mathematics

1 answer:

Galina-37 [17]1 year ago

3 0

Answer:

Step-by-step explanation:

$\frac{5}{8}y-12=-7 \\ \\ \frac{5}{8}y=5 \\ \\ y=8$

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2 years ago

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2 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)

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

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$D=\sqrt{101}$ ≈10.04

do r<D

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3 years ago

The total land area of the world is about fifty-seven million, two hundred eighty thousand square miles. Write that number

expeople1 [14]

The total land area of the world is about fifty-seven million, two hundred eighty thousand square miles is 57, 280, 000 square miles

Solution:

Given that, we have to write the given words in number

The total land area of the world is about fifty-seven million, two hundred eighty thousand square miles

The number of zeros in million is 6

Here given that 57 million

So, 57 million means 57, followed by 6 digits

two hundred eighty thousand means 280 followed by 3 zeros

two hundred eighty thousand = 280 thousand

Thus the number is: 57, 280, 000

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2 years ago