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3 years ago

3(6k+5)+3(6k+4 The expression has to be equivalent.

Mathematics

2 answers:

DerKrebs [107]3 years ago

7 0

Hey
I’m not sure that’s correct, but here it is!

romanna [79]3 years ago

5 0

Step-by-step explanation:

3(6k+5)+ 3(6k+4)

open the bracket

18k+15+18k+12=0

collect like terms

18k+18k+15+12=0

36k + 27 =0

36k=-27

k=-27/-36

divide through by 3

k= -9/-12

still divide through by 3

k=-3/-4

minus cancel minus

k=3/4

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m_a_m_a [10]

The answer is 9
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3 years ago

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a rectangle has an area of 30 square meter and a perimeter of 34 meters. what are the dimensions of rectangle?

kow [346]

$A=lw$
$P=2l+2w$

$30=lw$
$34=2l+2w$

$30=lw$ --> $w= \frac{30}{l}$

$34=2l+2( \frac{30}{l}) \\ 34=2l+ \frac{60}{l} \\ 34l=2l^2+60 \\ 2l^2-34l+60=0 \\ 2(l-2)(l-15)=0 \\ l=2, 15$

$30=(2)w$
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$30=(15)w$
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The dimensions can either be 15 x 2 or 2 x 15.

3 0

4 years ago

A pool measuring 20 meters by 28 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the po

krok68 [10]

X= width of the path.
we can suggest this equation:

(20+2x)(28+2x)=1584

we solve this equation:
(20+2x)(28+2x)=1584
560+40x+56x+4x²=1584
4x²+96x-1024=0
4/4x²+96/4x-1024/4=0/4
x²+24x-256=0

We solve this square equation:

x=[-24⁺₋√(576+1024)]/2=(-24⁺₋40)/2
we have two solutions:
x₁=(-24-40)/2=-32 this solution is not valid.
x₂=(-24+40)/2=8

Answer: the width of the path is 8 m.

7 0

3 years ago

I don’t know if I’m correct or not help

Lemur [1.5K]

Answer:

y=x+5

Step-by-step explanation:

you not subtracting, your adding five

the output is x+5 so whatever you input into the x, you add 5

7 0

3 years ago

Calculate the area of the figure below using the following information:

vekshin1

Answer:

106.5 square units.

Step-by-step explanation:

See the attached diagram.

The pentagon ABCDE consists of three triangles namely Δ ABC, Δ ACD, and Δ ADE when we join the diagonals AC and AD.

So, Area of Pentagon ABCDE = Area of Δ ABC + Area of Δ ACD + Area of triangle Δ ADE.

⇒ Area of Pentagon ABCDE = (31.8 + 39.2 + 35.5) = 106.5 square units. (Answer)

6 0

4 years ago

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