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3 years ago

Please help with question 27 & 28 ASAP

Mathematics

1 answer:

Elenna [48]3 years ago

3 0

27) x= 1/5y + 1
y= 5x - 5

28) x= 1/2y + -1/2
y= 2x + 1

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jenn will use 18 connecting cubes to make a model of a park. The model will be in the shape of a rectangle and will have height

lorasvet [3.4K]

To do this we need to find all the pairs of factors of 18.
These are:
- 18 and 1
- 9 and 2
- 6 and 3
From this we can see there are 3 ways of making a rectangle from 18 cubes

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4 years ago

Factor completely: 2x4 − 32.

vazorg [7]

Answer:

Option b) is correct.

The completed factor of given expression is $2(x-2)(x+2)(x^2+4)$

Step-by-step explanation:

Given expression is $2x^4-32$

To find the completed factor for the given expression:

$2x^4-32$ :

Taking the common number "2" outside to the above expression we get

$2x^4-32=2(x^4-16)$

Now rewritting the above expression as below

$=2(x^4-2^4)$ (since 16 can be written as the number 2 to the power of 4)

$=2((x^2)^2-(2^2)^2)$

The above expression is of the form $a^2-b^2=(a+b)(a-b)$

Here $a=x^2$ and $b=2^2$

Therefore it becomes

$=2(x^2+2^2)(x^2-2^2)$

$=2(x^2+4)(x^2-2^2)$

The above expression is of the form $a^2-b^2=(a+b)(a-b)$

Here $a=x$ and $b=2$

Therefore it becomes

$=2(x^2+4)(x+2)(x-2)$

$=2(x+2)(x-2)(x^2+4)$

Therefore $=2(x+2)(x-2)(x^2+4)$

$2x^4-32=2(x-2)(x+2)(x^2+4)$

Option b) is correct.

The completed factor of given expression is $2(x-2)(x+2)(x^2+4)$

3 0

4 years ago

Read 2 more answers

Let f(x) = x + 8 and g(x) = x2 − 6x − 7. Find f(g(2)). (1 point)

pantera1 [17]

Hello,

f(x)=x+8
g(x)=x²-6x-7
f(g(x))=f(x²-6x-7)=x²-6x-7+8=x²-6x+1

f(g(2))=2²-6*2+1=4-12+1=-8+1=-7

Answer A

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3 years ago

What is the area with circumference 36pi cm

Eddi Din [679]

$\bf \textit{circumference of a circle}\\\\
C=2\pi r\qquad 
\begin{cases}
r=radius\\
-----\\
C=36\pi 
\end{cases}\implies 36\pi =2\pi r
\\\\\\
\cfrac{36\pi }{2\pi }=r\implies \boxed{18=r}\\\\
-------------------------------\\\\
\textit{area of a circle}\\\\
A=\pi r^2\qquad A=\pi \cdot \boxed{18}^2$

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4 years ago

Is q = 4b proportional or non proportional

mart [117]

It is proportional because it has a direct relationship.

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3 years ago