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2 years ago

Solve: 2x + 1 = 3x - 2

Mathematics

2 answers:

otez555 [7]2 years ago

6 0

Answer:

x=3

Step-by-step explanation:

2x + 1 = 3x - 2

2x +3 = 3x

2x-3x= -1x

-1x = -3/-1

x=3

Gre4nikov [31]2 years ago

4 0

Answer:

$x=3$

Step-by-step explanation:

Given Equation:

$2x + 1 = 3x - 2$

To find the value of 'x', take the terms of 'x' to one side and the constants terms to the other side.

On changing the side, the sign changes to opposite.

$2x -3x = - 2-1$

Solving the L.H.S and R.H.S

$-x=-3\\\\x=3$

The value of x is 3

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The larger leg of a right triangle is 3 cm longer than its smaller leg. The hypotenuse is 6 cm longer than the smaller leg. How

dlinn [17]

For rigt triangle with legs legnth a and b and hypotnuse legnth c

a^2+b^2=c^2

we are given
larger leg is 3 longer than smaller leg
hypotnuse is 6 longer than smaller
find smaller

ok so

first pick a smaller leg
lets say b is smaller
longer leg is 3 more than shorter leg
a is 3 more than b
a=3+b
and

hypontuse is 6 more than shorter
c=6+b

sub 3+b for a and 6+b for c in oroiginal equation'

a^2+b^2=c^2
(3+b)^2+b^2=(6+b)^2
9+6b+b^2+b^2=36+12b+b^2
2b^2+6b^2+9=b^2+12b+36
minus (b^2+12b+36) from both sides
b^2-6b-27=0
factor
(b-9)(b+3)=0
set equal to zero

b-9=0
b=9

b+3=0
b=-3
fasle, legnths cannot be negative

answer is shorter side=9 cm

5 0

2 years ago

What is the product or (m+3)(M-3)

Naddik [55]

(m+3)(m+3)
m^2 + 3m + 3m + 9
m^2 + 6m + 9

3 0

2 years ago

Im Confused… <br><br> ( The question is in the image )

erma4kov [3.2K]

Answer:

488

Step-by-step explanation:

Area of rectangle: 17 x 22 = 374

Area of triangle: 22 - 10 = 12

0.5(12 x 19) = 114

Add them together: 374 + 114 = 488

6 0

2 years ago

A state is considering license plates that have two digits followed by four letters. Assuming no combinations are excluded, how

love history [14]

Answer:

32,292,000

Step-by-step explanation:

In your question, it asks how many license plate combinations we could make WITHOUT repeats.

We need some prior knowledge to answer this question.

We know that:

There are 26 letters in the alphabet
We can make 10 digits (0 - 9)

With the information we know above, we can solve the question.

Since we CAN'T have repeats, we would be excluding a letter or number for each license plate.

We're going to need to multiply each "section" in order to find how many combinations of license plates we can make.

We decrease by one letter and one number in each section since we can't have repeats.

Now, we can solve.

Work:

$26*25*24*23*10*9 = 32,292,000$

When you're done multiplying, you should get 32,292,000.

This means that there could be 32,292,000 different combinations of license plates.

<h3>I hope this helps you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>

8 0

3 years ago

Read 2 more answers

6(m-1) = 3(3m + 2) Show all work

nordsb [41]

Answer:

$\boxed{\sf m = -4}$

Step-by-step explanation:

$\sf Solve \: for \: m: \\ \sf \implies 6 (m - 1) = 3 (3 m + 2) \\ \\ \sf Expand \: out \: terms \: of \: the \: left \: hand \: side: \\ \sf \implies 6 m - 6 = 3 (3 m + 2) \\ \\ \sf Expand \: out \: terms \: of \: the \: right \: hand \: side: \\ \sf \implies 6 m - 6 = 9 m + 6 \\ \\ \sf Subtract \: 9 m \: from \: both \: sides: \\ \sf \implies (6 m - 9 m) - 6 = (9 m - 9 m) + 6 \\ \\ \sf 6 m - 9 m = -3 m: \\ \sf \implies -3 m - 6 = (9 m - 9 m) + 6 \\ \\ \sf 9 m - 9 m = 0: \\ \sf \implies -3 m - 6 = 6 \\ \\ \sf Add \: 6 \: to \: both \: sides: \\ \sf \implies (6 - 6) - 3 m = 6 + 6 \\ \\ \sf 6 - 6 = 0: \\ \sf \implies -3 m = 6 + 6 \\ \\ \sf 6 + 6 = 12: \\ \sf \implies -3 m = 12 \\ \\ \sf Divide \: both \: sides \: of \: -3 m = 12 \: by \: -3: \\ \sf \implies \frac{ - 3m}{ - 3} = \frac{12}{ - 3} \\ \\ \sf \frac{ - 3}{ - 3} = 1: \\ \sf \implies m = \frac{12}{ - 3} \\ \\ \sf - \frac{12}{3} = - 4 : \\ \sf \implies m = - 4$

7 0

2 years ago