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Greeley [361]
3 years ago
14

which of the following expressions represents the perimeter of a rectangle whose dimensions are 2x+7 and 3x-2

Mathematics
1 answer:
Hitman42 [59]3 years ago
7 0

Answer:

10x+10

Step-by-step explanation:

2x+7+3x-2+2x+7+3x-2

10x+14-4

10x+10

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Step-by-step explanation:

3 0
3 years ago
Simplify (x − 4)(x2 − 2x − 3).
lesantik [10]

How to get answer by Mimiwhatsup:

Distribute\:parentheses\\=xx^2+x\left(-2x\right)+x\left(-3\right)+\left(-4\right)x^2+\left(-4\right)\left(-2x\right)+\left(-4\right)\left(-3\right)\\\mathrm{Apply\:minus-plus\:rules}\\+\left(-a\right)=-a,\:\:\left(-a\right)\left(-b\right)=ab\\=x^2x-2xx-3x-4x^2+4\cdot \:2x+4\cdot \:3\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\x^2x=\:x^{2+1}=\:x^3\\=x^3\\2xx\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\xx=\:x^{1+1}=\:x^2\\=2x^2\\4\cdot \:2x\\\\=8x\\

4\cdot \:3\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:3=12\\Group\:like\:terms\\=x^3-2x^2-4x^2-3x+8x+12\\\mathrm{Add\:similar\:elements:}\:-3x+8x=5x\\=x^3-2x^2-4x^2+5x+12\\\mathrm{Add\:similar\:elements:}\:-2x^2-4x^2=-6x^2\\=x^3-6x^2+5x+12\\Answer: =x^3-6x^2+5x+12

4 0
4 years ago
The following mapping statements describe the transformation of the vertices of △ABC to the vertices of its image, △A′B′C′. A(0,
victus00 [196]

Answer:

C. a reflection in the y-axis

Step-by-step explanation:

The mapping statement for the transformation of the vertices of the triangle ABC is given as following:

A(0,2)→A'(0,2)

B(2,9)→B'(-2,9)

C(4,2)→C'(-4,2)

To find the correct transformation for the given statement.

Solution:

From the given statements, the general transformation statement for the the vertices of the triangle can be given as:

(x,y)\rightarrow (-x,y)

The above transformation shows a reflection in the y-axis as the transformation in y-axis changes the sign of the x-coordinate of the point.

5 0
3 years ago
Which statement best describes the decimal equivalent to 5/9?
san4es73 [151]

Answer:

C) It is a repeating decimal that will never terminate

Step-by-step explanation:

5/9 = 0.5555555 .... going on for ever.

It is a repeating decimal, and it never ends.

4 0
3 years ago
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