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madreJ [45]
1 year ago
9

Which expression could represent the length of a rectangle that has an area equal to 4x2+12x?

Mathematics
1 answer:
grandymaker [24]1 year ago
6 0

there are two expressions that can represent the length of the rectangle, these two expressions are:

L = x

or

L = (4x + 12)

<h3>Which expression could represent the length of the rectangle?</h3>

Remember that for a rectangle of length L and width W, the area is given by:

A = L*W

In this case, we know that the area is:

A = 4x^2 + 12x

We can factorize that expression into:

A = x*(4x + 12)

So there are two expressions that can represent the length of the rectangle, these two expressions are:

L = x

or

L = (4x + 12)

If you want to learn more about rectangles:

brainly.com/question/17297081

#SPJ1

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Which could be the area of one face of the triangular prism? Check all that apply
Sever21 [200]

Area of rectangles = Length x width.

Area of triangles = 1/2 x base x height.

1 face is 12 x 10 = 120 square units

1 face is 12 x 8 = 96 square units

1 face is 12 x 6 = 72 square units

And 2 faces are 1/2 x 8 x 6  = 24 square units

Answers are 24 , 72 and 96 square units.

5 0
4 years ago
WILL GIVE BRAINLIEST! Show that diagonals of MNPQ are congruent if M (3, 2), N(3, –1), P(7, –1), and Q(7, 2). Provide your compl
Tcecarenko [31]

Answer:

Yes the Diagonals are congruent

Step-by-step explanation:

Show that diagonals of MNPQ are congruent if M (3, 2), N(3, –1), P(7, –1), and Q(7, 2)

We are given the coordinates if a quadrilateral.

The first step would be to find the length of the sides of the quadrilateral, using the formula

√(x2 - x1)² + (y2 - y1)²

When given coordinates (x1, y1) , (x2, y2)

M (3, 2), N(3, –1), P(7, –1), and Q(7, 2)

For MN

M (3, 2), N(3, –1),

=√(3 - 3)² + (-1 -2)²

= √0² + -3²

= √9

= 3

For NP

N(3, –1), P(7, –1)

=√(7 - 3)² +(-1 - (-1))²

= √4² + 0²

= √16

= 4

For PQ

P(7, –1), and Q(7, 2)

=√(7 - 7)² +(2 - (-1))²

= √0² + 3²

= √9

= 3

For MQ

M (3, 2),Q(7, 2)

= √(7 - 3)² + (2 - 2)²

= √4² + 0²

= √16

= 4

From the above solution,

We can see that

Side NP = Side MQ

Side PQ = Side MN

Hence this Quadrilateral is as Rectangle

Side PQ = Side MN = Width = 3

Side NP = Side MQ = Length = 4

To find out if their diagonals are congruent we make use of Pythagoras Theorem

Diagonal is the line that divides a quadrilateral into 2 halves

Width 3, Length = 4

= W² +L² = Diagonal ²

= 3² + 4² = D²

= 9 + 16 = D²

= √25 = D

D = 5

Since the Width and Length are the same for the other side, the diagonal would also be equal to 5

Therefore, their diagonals are congruent i.e they are the same

6 0
3 years ago
So we’re simplifying it I don’t need the answer!
RUDIKE [14]
6x+1
have a good day
7 0
3 years ago
Read 2 more answers
The rocket club is 60% boys. The number of boys is 3 less than 2 times the number of girls. Hov
xenn [34]

Answer:25 girls or 25% and 75 or 75% boys

Step-by-step explanation:

there are 20 girls plus 5 is 25, so 25 girls and 75 boys.

this might not be the right answer if this is on a test don't use it but if it's a practice question you can.

8 0
3 years ago
Read 2 more answers
Find the rate of change (slope) from the table below
Sedbober [7]
1/2 is correct.

the slope is 3/6 which is equivalent to 1/2
3 0
3 years ago
Read 2 more answers
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