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2 years ago

(-4).(-4).(-4). y. y

Mathematics

1 answer:

Andre45 [30]2 years ago

7 0

Answer:-64y^2

Step-by-step explanation:

-4x-4=16

16x-4=-64

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R (-3,1) and S (-1,3) are points on a circle. If RS is a diameter, find the equation of the circle.

ELEN [110]

Answer:

$\sf (x+2)^2+(y-2)^2=2$

Step-by-step explanation:

If RS is the diameter of the circle, then the midpoint of RS will be the center of the circle.

$\sf midpoint=\left(\dfrac{x_s-x_r}{2}+x_r,\dfrac{y_s-y_r}{2}+y_r \right)$

$\sf =\left(\dfrac{-1-(-3)}{2}+(-3),\dfrac{3-1}{2}+1 \right)$

$\sf =(-2, 2)$

Equation of a circle: $\sf (x-h)^2+(y-k)^2=r^2$

(where (h, k) is the center and r is the radius)

Substituting found center (-2, 2) into the equation of a circle:

$\sf \implies (x-(-2))^2+(y-2)^2=r^2$

$\sf \implies (x+2)^2+(y-2)^2=r^2$

To find $\sf r^2$ , simply substitute one of the points into the equation and solve:

$\sf \implies (-3+2)^2+(1-2)^2=r^2$

$\sf \implies 1+1=r^2$

$\sf \implies r^2=2$

Therefore, the equation of the circle is:

$\sf (x+2)^2+(y-2)^2=2$

4 0

2 years ago

What is a equivalent fraction for 24/30

liq [111]

There's an infinite number of equivalent fractions for 24/30 - all you need to do is to divide or multiple both numerator and denominator by the same number. For example:

24/30 = 48/60 (because 24 * 2 = 48 and 30 * 2 = 60)
24/30 = 12/15 (because 24 ÷ 2 = 12 and 30 ÷ 2 = 15)
24/30 = 72/90 (because 24 * 3 = 72 and 30 * 3 = 90)
24/30 = 4/5 (because 24 ÷ 6 = 4 and 30 ÷ 6 = 5)
etc...

6 0

2 years ago

rectangle A has a length of 24 meters and a width of 20 meters. rectangle B has the same area as rectangle A. the width of recta

blagie [28]

To solve this, first we'll find the area of the rectangle A,

Area=length × width
?=24m×20m
480m=24m×20m
480m squared=area of the rectangle A

now we'll find the width of rectangle B,
"the width of rectangle B is 12 meters less than the width of rectangle A",
20m-12m= 8m
8m=width of rectangle B

finally we'll find the length of rectangle B,
area of the rectangle B= 480msquared
width= 8m
length=? (to find this divide the area by the width)
480÷8=60m
length of the rectangle B=60m

7 0

3 years ago

I need help on a mathematics question. I need an explanation.

romanna [79]

Start by dividing both sides by 2 to get $log(x)= \frac{1}{2}log(64)$ . Doing the math on the right, keeping in mind that logs have an unwritten base of 10, gives us $log_{10} (x)=.903089987$ . Rewriting this in exponential form is $10^{.903089987}=x$ . That means that x = 8. Not negative, only positive.

4 0

3 years ago

1,8,27; 64; Rule Missing numbers

zubka84 [21]

Answer:

rule: f(n) = n³

missing numbers: 125, 216, 343, 512, 729

Step-by-step explanation:

Your familiarity with the cubes of small integers helps you recognize each of these numbers is a cube. Their sequence is the sequence of cubes of increasing natural numbers.

1 = 1·1·1 = 1³

8 = 2·2·2 = 2³

27 = 3·3·3 = 3³

64 = 4·4·4 = 4³

The rule is ...

f(n) = n³

The cubes of 5 through 9 will complete the set of numbers ...

1, 8, 27, 64, 125, 216, 343, 512, 729

7 0

1 year ago