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salantis [7]
3 years ago
7

Help with rational equations

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
7 0
Change all the terms so that they have a common denominator
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How many 1/8s are there in 3/4​
natka813 [3]

Answer:

there are 6/8 in 3/4

Step-by-step explanation:

if you want to change the denominator of the fraction, you must find the multiple of it,

(3/4) x 2 is 6/8

so you have 6 x (1/8) thats the same 6/8

3/4 is the minimum simplification, if you want to find the same fraction but with other denominator, you have to multiply 3/4 for any number, to do this you have to multiply the numerator and the denominator

4 0
2 years ago
Read 2 more answers
Find an equation of the sphere with center (4, −12, 8) and radius 10. use an equation to describe its intersection with each of
xxMikexx [17]
<span>Sphere: (x - 4)^2 + (y + 12)^2 + (z - 8)^2 = 100 Intersection in xy-plane: (x - 4)^2 + (y + 12)^2 = 36 Intersection in xz-plane: DNE Intersection in yz-plane: (y + 12)^2 + (z - 8)^2 = 84 The desired equation is quite simple. Let's first create an equation for the sphere centered at the origin: x^2 + y^2 + z^2 = 10^2 Now let's translate that sphere to the desired center (4, -12, 8). To do that, just subtract the center coordinate from the x, y, and z variables. So (x - 4)^2 + (y - -12)^2 + (z - 8)^2 = 10^2 (x - 4)^2 + (y - -12)^2 + (z - 8)^2 = 100 Might as well deal with that double negative for y, so (x - 4)^2 + (y + 12)^2 + (z - 8)^2 = 100 And we have the desired equation. Now for dealing with the coordinate planes. Basically, for each coordinate plane, simply set the coordinate value to 0 for the axis that's not in the desired plane. So for the xy-plane, set the z value to 0 and simplify. So let's do that for each plane: xy-plane: (x - 4)^2 + (y + 12)^2 + (z - 8)^2 = 100 (x - 4)^2 + (y + 12)^2 + (0 - 8)^2 = 100 (x - 4)^2 + (y + 12)^2 + (-8)^2 = 100 (x - 4)^2 + (y + 12)^2 + 64 = 100 (x - 4)^2 + (y + 12)^2 = 36 xz-plane: (x - 4)^2 + (y + 12)^2 + (z - 8)^2 = 100 (x - 4)^2 + (0 + 12)^2 + (z - 8)^2 = 100 (x - 4)^2 + 12^2 + (z - 8)^2 = 100 (x - 4)^2 + 144 + (z - 8)^2 = 100 (x - 4)^2 + (z - 8)^2 = -44 And since there's no possible way to ever get a sum of 2 squares to be equal to a negative number, the answer to this intersection is DNE. This shouldn't be a surprise since the center point is 12 units from this plane and the sphere has a radius of only 10 units. yz-plane: (x - 4)^2 + (y + 12)^2 + (z - 8)^2 = 100 (0 - 4)^2 + (y + 12)^2 + (z - 8)^2 = 100 (-4)^2 + (y + 12)^2 + (z - 8)^2 = 100 16 + (y + 12)^2 + (z - 8)^2 = 100 (y + 12)^2 + (z - 8)^2 = 84</span>
6 0
3 years ago
6. Ashley bought 4 packages of juicek
olasank [31]
18

Explanation:
4x6=24
2x3=6
24-6=18

Hope this helps!:)
6 0
3 years ago
Si el largo de un rectángulo mide el doble del ancho que es "a", ¿cuál es su área?
rosijanka [135]

Answer:

El área es 2 veces el cuadrado del ancho del rectángulo.

Step-by-step explanation:

El área de un rectángulo viene dado por:

A = a*l

En donde:

a: es el ancho

l: es el largo

Si el largo es el doble del ancho:

l = 2a

Entonces el área es:

A = a*l = a*(2a) = 2a^{2}

Por lo tanto, el área es 2 veces el cuadrado del ancho del rectángulo.

Espero que te sea de utilidad!  

6 0
3 years ago
Please answer this - i'm so desperate!
Ksenya-84 [330]
Try 8, 7, 4, 1 (I believe that’s the right answer but I’m not sure)
7 0
3 years ago
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