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3 years ago

3b+2(b-3)=4 Solve for b.

Mathematics

2 answers:

mel-nik [20]3 years ago

6 0

Answer:

b=2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

mihalych1998 [28]3 years ago

4 0

Answer:

b = 2

Step-by-step explanation:

3b + 2(b - 3) = 4

--distributive property-- 2(b - 3) = 2b - 6

3b + 2b - 6 = 4

(add like terms)

5b - 6 = 4

(add 6 to both sides)

5b = 10

(divide both sides by 5 to get b alone)

b = 2

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Solve this system of equations- x=2y-8 and 4x+y=13

rjkz [21]

(2,5)
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3 years ago

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Triangle CAT is transformed to produce triangle DOG.

PilotLPTM [1.2K]

Using transformations and congruency concepts, it is found that with these following transformations, the triangles will be congruent.

A reflection, then a translation.
A rotation, then a reflection.

--------------------------

Two triangles are congruent if they have the same lengths of the sides and the same angles.

In a reflection, there is a rule that changes the coordinates (x,y), but does not change the lengths of the sides of the triangles, thus they will still be congruent.
A reflection is also a special case of rotation, thus, in a rotation, the triangles are also congruent.
A translation is also similar to a reflection, using rules to shift the triangle up, down, left or right according to it's coordinates, not changing the sides or angles, thus congruent.
In a dilation, the lengths of the sides are changed, thus, the triangles will not be congruent.

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Thus, from the bullet points above, the correct options are:

A reflection, then a translation.
A rotation, then a reflection.

A similar problem is given at brainly.com/question/24267298

3 0

3 years ago

What is the common difference of the sequence below?

vagabundo [1.1K]

Answer:

Step-by-step explanation:

In finding the COMMON DIFFERENCE, subtract the 2nd term and the first term.

a1 = -4

a2 = -2

Let "d" representing the COMMON DIFFERENCE.

d = -2 -(-4)

d = -2 + 4

d = 2

ANSWER:

THE COMMON DIFFERENCE OF THIS SEQUENCE IS 2

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3 years ago

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HELP

stiv31 [10]

The Answer Is No Solution!

4 0

2 years ago

When building a roof, carpenters put vertical boards every 2 feet along the horizontal baseline. The height of the boards, y, fo

Tanzania [10]

Answer:

10 feet

Step-by-step explanation:

define variables:

y= height of the boards

x= distance to corner

we are trying to figure out what x is since we know the height of the board

4= 0.4x

divide both sides by 0.4

10=x

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3 years ago