MATHEMATICS MIDDLE SCHOOL

4x + 4y + 2z = 8x - y -z = 0
4y - 2z = -15
x = 2, y = -2, z = 4; (2, -2,4)
Is (2,-2,4) a solution of the system of equations? Yes or no?

Answers

Answer 1
Answer: The answer is no, because the first two equations are right but the third equation equals -16 instead of -15. So the answer is no (2,-2,4) is not the solution to all the system of equations.

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Twice a number m minus three equals the sum of m and five

Answers

The value of 'm' for the given equation as per linear equation will be 8.

What is a linear equation?

Linear equation is an equation where the variable has the highest degree of 1.

Given, twice a number m minus three equals the sum of m and five.

Therefore, the linear equation will be:

2m - 3 = m + 5

⇒ 2m - m = 5 + 3

⇒ m = 8.

The value of 'm' is 8.

Learn more about a linear equation here: brainly.com/question/8502333

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2m - 3 = m + 5

m = 8

2(8) - 3 = 13

(8) + 5 = 13

m = 8

Ronnie surveyed the senior class for a math project. Below are the results of his survey.What type of graph is best for Ronnie to display his data?
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Answers

Answer:

i think C

Step-by-step explanation:

Help solve the following equation: 20.6 + 2.1x = -8.2x

Answers

20.6 + 2.1x = -8.2x

20.6=-10.3x

-2=x
20.6 + 2.1x = -8.2x \n 2.1x+8.2x=-20.6 \n 10.3x=-20.6 \n x=- (20.6)/(10.3) \n \boxed{x=-2}

Jeremy drew a polygon with four right angles and four sides with the same length. What kind of polygon did Jeremy draw?

Answers

A polygon with four sides are called quadrilaterals. Main types of quadrilarerals are:

  • irregular quadrilateral;
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  • trapezoid -  quadrilateral with at least one pair of parallel sides;
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According to this classification, Jeremy drew square that is rectangle with equal sides or rhombus with all right angles.

Answer: square.
Jeremy drew a square or a diamond depending on perception. If all four sides are equal and all 4 angles are exactly right angles then the polygon is even on all sides. This type of shape will result in a square if a looking at a flat surface on top and bottom. If the shape is placed with an angle at the top and bottom it could be perceived as a diamond.

Explain why one column in a hundredths grid is equal to one column in a tenths grid

Answers

As 10 times 10 = 100, There are 10 rows of 10. so, one row is 10 and colom in tenths is 10.

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We don't write symbols like currency generally and understand it from context.

Also, a sign of multiplication is often hidden if there are non-numeric symbols and numbers being multiplied are written together.

we need to find why one column in a hundredths grid is equal to one column in a tenths grid.

We know that 10 times 10 = 100

There are 10 rows of 10.

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Well If you draw a hundredths grid & a tenths grid , a comparison that you will see is that each column in both grids has a total of 10 cubes in them .

I hope this helps :)
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