1) Simplify the following:

Mathematics

1 answer:

aivan3 [116]3 years ago

8 0

Step-by-step explanation:

ok so for number 1 you first have to group the like terms therefore you will now have:

9r-4r+8-6

and now you calculate:

9r-4r=5r

8-6=2

so that means 5r-2 is simplied version for no.1

for number you 2 you first multiply why is inside the brackets by what is in the outside:

2(x+3y)

2x+6y (simplified version)

hope this helps! no problem

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$\large{\underline{\underline{\pmb{\sf {\color {blue}{Solution:}}}}}}$

Given,

Area = 225 yd²

Base = 30 yd

Height = [To be calculated]

To find:

The height of the given triangle.

We know that, area of a triangle is:

$\frac{1}{2} \times (b \times h) \\ \\ \leadsto \frac{1}{2} \times (30 \times h) \\ \\ \leadsto \frac{1}{2} \times 30h \\ \\ \leadsto \frac{1}{ \cancel{2}} \times \cancel{30}h \\ \\ \leadsto1 \times 15h \\ \\ \leadsto \: h = 15 \: yd$

Therefore, the require height is 15 yd.

$\green\star$ Proof:

$\frac{1}{2} \times (b \times h) \\ \\ \leadsto \frac{1}{2} \times (30 \times 15) \\ \\ \leadsto \frac{1}{ \cancel{2}} \times \cancel{450} \\ \\ \leadsto1 \times 225 \\ \\ area = 225 {yd}^{2}$