All categories

3 years ago

Simplify the expression. (–9m + 12)

Mathematics

1 answer:

alexdok [17]3 years ago

6 0

$-9m+12=-3(3m-4)$

Hope this helps!

You might be interested in

Can I name my Angle VTS as STV? And use it interchangeably in proving?

swat32

Answer:

both angles are the same, so you can use it interchangeably in proving.

But i suggest you to mantain only one, because it's easier to understand and it looks better.

5 0

3 years ago

The length of each side of an equilateral triangle is increased by 20%, resulting in triangle ABC. If the length of each side of

kompoz [17]

Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

$A=\frac{\sqrt{3} }{4} a^{2}$

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

$A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}$

$A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}$

Triangle DEF is 20% smaller than the original, which means its side is:

a₂ = 0.8a

So, area is

$A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}$

$A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}$

Now, comparing areas:

$\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )$

$\frac{A_{1}}{A_{2}} =$ 2.25

The area of ΔABC is 2.25x greater than the area of ΔDEF.

7 0

2 years ago

PLEASE I NEED HELP ASAP

Annette [7]

1. 15x
2. 21
3. 4
You’re welcome

6 0

2 years ago

Sam made $210.00 last week. If he worked 35 hours, how much is he paid for one hour of work? Answer: dollars per hour.

timama [110]

Answer:

$6 Dollars Per Hour

Step-by-step explanation:

210/35=6

8 0

3 years ago

4. In one semester, Doug and Laura spent a combined 230 hours in the tutoring lab. If Doug

IRISSAK [1]

Answer:

80 hours

Step-by-step explanation:

let d represent doug, let l represent laura

first, set up a system of equations representing the problem:

since doug spent 10 less than twice the hours laura did, and we know that the total amount of hours they spent together is 230:

l=2d+10

d+l=230

then solve:

*first i rearranged the equations so i can solve this system of equations using elimination method*

l-2d=10

l+d=230

*subtract*

3d=240

d=80

so, doug spent 80 hours in the lab

6 0

2 years ago

Read 2 more answers