3 years ago

Wgat is 7(y+5)-12y ?

Mathematics

1 answer:

zmey [24]3 years ago

3 0

The answer will be -5y + 35 ;))

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Examine the expression. 17x - 34 Which is an equivalent expression? O 17*(1 + ) O 17x (1-2) O 17+(1-1) O 17*(1 + 2)

mixer [17]

Answer:

17(x-2)

Step-by-step explanation:

Given the expression

17x - 34

We are to factorize it

Get their factors

17x = 17 * x

34 = 17 * 2

Since 17 is common to both factors, hence 17 is the GCF

17x - 34 = 17(x - 2)

Hence the equivalent expression is 17(x-2)

8 0

2 years ago

Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 12 and the 8th term is 27. 20 19.5 18 17

Lesechka [4]

A₆ =12

a₇ = ?? = x

a₈ 27

In this case x is the geometric mean & as per the formula
geometric mean of 2 numbers =√(a₆ * a₈) = √(12*27)
& x=18.
Proof:
Find the common ratio between a₇ & a₆ ==> = ( x) / 12
now find the common ration between a₈ & a₇ ===> =27 / (x)
x/12 = 27/x ===> x² = 12*27 ==> x² = 324 & x =√324 = 18

7 0

3 years ago

The perimeter of a rectangular metal plate is 15 cm. Find the length of the rectangular plate (in decimals) whose width is 228 c

scoray [572]

The Solution.

Representing the problem in a diagram, we have

By formula,

$P=2(L+W)$

In this case,

$P=15\operatorname{cm},L=?,W=\frac{22}{8}cm$

Substituting these values in the formula above, we get

$15=2(L+\frac{22}{8})$

Clearing the bracket, we get

$15=2L+(2\times\frac{22}{8})$ $\begin{gathered} 15=2L+\frac{11}{2} \\ \\ 15=2L+5.5 \end{gathered}$ $\begin{gathered} 15-5.5=2L \\ 9.5=2L \end{gathered}$

Dividing both sides by 2, we get