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3 years ago

11

Arianna correctly simplified an expression. When she substituted X = 2 into the simplified expression, the value was –4. Which c

ould be Arianna’s original expression?

2 answers:

daser333 [38]3 years ago

8 0

The answer would be -2... Because -2 * 2 = -4!

USPshnik [31]3 years ago

8 0

Answer:

$\frac{1}{6}(-10x-4)$

Step-by-step explanation:

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Without plotting points, let M=(-2,-1), N=(3,1), M'= (0,2), and N'=(5, 4). Without using the distanceformula, show that segments

kramer

Given:

M=(x1, y1)=(-2,-1),

N=(x2, y2)=(3,1),

M'=(x3, y3)= (0,2),

N'=(x4, y4)=(5, 4).

We can prove MN and M'N' have the same length by proving that the points form the vertices of a parallelogram.

For a parallelogram, opposite sides are equal

If we prove that the quadrilateral MNN'M' forms a parallellogram, then MN and M'N' will be the oppposite sides. So, we can prove that MN=M'N'.

To prove MNN'M' is a parallelogram, we have to first prove that two pairs of opposite sides are parallel,

Slope of MN= Slope of M'N'.

Slope of MM'=NN'.

$\begin{gathered} \text{Slope of MN=}\frac{y2-y1}{x2-x1} \\ =\frac{1-(-1)}{3-(-2)} \\ =\frac{2}{5} \\ \text{Slope of M'N'=}\frac{y4-y3}{x4-x3} \\ =\frac{4-2}{5-0} \\ =\frac{2}{5} \end{gathered}$

Hence, slope of MN=Slope of M'N' and therefore, MN parallel to M'N'

$\begin{gathered} \text{Slope of MM'=}\frac{y3-y1}{x3-x1} \\ =\frac{4-(-1)}{5-(-2)} \\ =\frac{3}{2} \\ \text{Slope of NN'=}\frac{y4-y2}{x4-x2} \\ =\frac{4-1}{5-3} \\ =\frac{3}{2} \end{gathered}$

Hence, slope of MM'=Slope of NN' nd therefore, MM' parallel to NN'.

Since both pairs of opposite sides of MNN'M' are parallel, MM'N'N is a parallelogram.

Since the opposite sides are of equal length in a parallelogram, it is proved that segments MN and M'N' have the same length.

7 0

1 year ago

Why are some rational numbers not integers?

Mariana [72]

Answer:

Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

7 0

3 years ago

You are seeking to be emancipated from your parents. You are looking for an apartment. There are two final choices. Apartment A

Sliva [168]

Answer:

20 months

Step-by-step explanation:

Initial difference = 500$

Monthly difference = 25$

500 / 25 = 20

4 0

3 years ago

In plane ABC the measure of angle A equals 42° the measure of angle B is five times the measure of angle C find the measure of a

krok68 [10]

Step-by-step explanation:

I think what is meant in the triangle ABC we have the three angles.

the sum of all angles in a triangle is airways 180 degrees.

so,

180 = A + B + C

180 = 42 + B + C

now, we know also that

B = 5×C

so, we can use that above

180 = 42 + 5×C + C

138 = 6×C

C = 138/6 = 23 degrees

B = 5×C = 5×23 = 115 degrees

7 0

2 years ago

5. Natalie has a pound bag of 1/8 pound bag of gummy worms, a 1/2 pound bag of twizzlers, and a 2/3 pound bag of chocolate. How

AveGali [126]

Step-by-step explanation:

1. Add all the different candies together

1/8 + 1/2 + 2/3=

2. Find the lowest common multiple of all the denominators

All the denominators can evenly multiply to 24 so 24 is the Lowest Common Denominator.

3. Multiply to make all the denominators 24

8x3=24 2x12=24 3x8=24

4. Whatever you did to the denominators, do the same thing to the numerators of that specific denominator.

1x3/8x3 1x12/2x12 2x8/3x8

5. Now that the denominators are the same for all the fractions, add all the numerators together.

3/24 + 12/24 + 16/24

3+12+16= 31

ANSWER: Natalie had 31/24 pounds of candy in all

Note: The decimal form is 1.292 pounds

7 0

3 years ago