MATHEMATICS HIGH SCHOOL

Which of the following statements is false?

Answers

Answer 1

Answer:

B. FALSE

Step-by-step explanation:

A. $(8y^2+2)-(4-2y^2)$

We expand the brackets to get,

$=8y^2+2-4+2y^2$

Group like terms,

$=8y^2+2y^2+2-4$

Simplify,

$=10y^2-2$

TRUE

B. $(y^2-7)+(2y+2)$

Rearrange the terms,

$=y^2+2y-7+2$

Simplify,

$=y^2+2y-5$

$(y^2-7)+(2y+2)\ne y^2-9$

FALSE

$(y^2-7)+(2y^2+3)$

Group like terms,

$=y^2+2y^2-7+3$

Simplify,

$=3y^2-4$

TRUE

D. $(y^3-y)-(y^2+4)$

Expand brackets

$=y^3-y-y^2-4$

Rewrite in descending powers of y,

$=y^3-y^2-y-4$

TRUE

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Sally got a new phone plan that includes limited data of 10 GB for $85, tax included. She has to pay $15 for each additional GB used if she goes over her 10 GB allowed. Part A: Write an equation to describe her data plan where x represents each additional GB used.

Answers

Answer:

Step-by-step explanation:

10Gb = 85 dollars

each 1gb =15 dollars

15 times x = 85

How many pairs of parallel sides does a rectangle have?

Answers

A rectangle has 2 sets of parallel sides. The top and bottom, then the left and right.

A rectangle is a quadrilateral which has two pairs of parallel sides.

The explanation in points is written below:

1. A rectangle is a quadrilateral with four sides and four angles.

2. Opposite sides of a rectangle are congruent (equal in length) and parallel.

3. This means that there are two pairs of sides that are parallel to each other.

4. The pairs of parallel sides are the top and bottom sides, and the left and right sides of the rectangle.

To summarize, a rectangle has two pairs of parallel sides: the top and bottom sides, and the left and right sides. This property is a defining characteristic of rectangles.

To know more about rectangles follow

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For tropical fish, aquarium water should be set to 76° with an allowance of 4°.A. Explain how to write an absolute value equation to represent this solution
B. Explain the steps to solve the absolute value equation. What do the solutions represent?