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Romashka-Z-Leto [24]
2 years ago
3

Gloria says the two expressions 1/4(12x + 24) - 9x and -6(x + 1) are equivalent. Is she correct? Explain why or why not.

Mathematics
2 answers:
AveGali [126]2 years ago
6 0
So first distribute
1/4(12x+24)=3x+8
so 3x+8-9x=8-6x

-6(x+1)=-6x-6
8-6x is not equal to -6-6x
so she is NOT correct, they are not equivilent
Vladimir [108]2 years ago
5 0
The first expression is equal to 3x + 24 - 9x, or 24 - 6x, and the second equation equals 6-6x. If you set them equal to eachother, you get 24 - 6x = 6 - 6x. The 6x's cancel out, so you're left with 24 = 6, which is not true. The expressions are not equivalent.
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8 0
2 years ago
Find the cube root of 8x7x9x49x3
vodka [1.7K]

Answer:

=42

Step-by-step explanation:

The expression 8×7×9×49×3 can be written in its simplest factor form as follows.

8=2³

49=7²

9=3²

Thus the expression becomes:2³×7×3²×7²×3

Combine the indices to the same base.

2³×3³×7³

Finding the cube root involves dividing the index by three.

Thus ∛(2³×3³×7³)= 2×3×7

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5 0
2 years ago
El producto de dos números consecutivos es 552 cuáles son esos números?
lara31 [8.8K]

Answer: 23 y 24 ( ó -23 y -24)

Step-by-step explanation:

Dos números consecutivos se escriben como:

n y (n + 1)

done n es un numero entero.

Entonces "El producto de dos números consecutivos es 552"

Se escribe como:

n*(n + 1) = 552

n^2 + n = 552

n^2 + n - 552 = 0

Tenemos una cuadrática, las posibles soluciones son obtenidas con la formula de Bhaskara.

n = \frac{-1 +- \sqrt{1^2 - 4*1*(-552)} }{2} = \frac{-1 +- 47}{2}

Las dos soluciones son.

n = (-1 - 47)/2 = -48/2 = -24

n = (-1 + 47)/2 = 46/2 = 23

Si tomamos la primer solución, n = -24

Entonces los dos números consecutivos son:

n = -24

(n + 1) = -23

Si n = 23 entonces

n + 1 = 24

Lo cual tiene sentido, por que lo único que cambia son los signos, los cuales se cancelarían en la multiplicación.

7 0
2 years ago
Using the technique in the model above, find the missing segments in this 30°-60°-90° right triangle. AB = 8 BC = 4 CD =
zimovet [89]
For a 30-60-90 triangle the sides always have the same relationship
Short leg = a
Long leg = a√3
Hypotenuse = 2a

BC is the short leg of ∆ABC

Given BC = 2
BC = a
Therefor
a = 2
AB = 2a = 4
AC = a√3 = 2√3

For ∆ACD
As above AC = 2√3
Since AC is the hypotenuse of ∆ACD
2a = 2√3
a = √3

CD = a = √3
AD = a√3 = 3

For ∆BCD
As above
BC = 2
CD = √3
Since BC is the hypotenuse of ∆BCD
2a = 2
a = 1

DB = a = 1
6 0
2 years ago
Read 2 more answers
Jennifer has a square bedroom. The area of her room is 144 ft2. What is the length of one side of Jennifer’s room?
Jobisdone [24]

Answer:

Option B. 12\ ft

Step-by-step explanation:

we know that

The area of a square is equal to

A=x^{2}

where

x is the length side of the square

In this problem we have

A=144\ ft^{2}

substitute and solve for x

144=x^{2}

suqre root both sides

x=12\ ft

7 0
2 years ago
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