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3 years ago

Simon used these steps to solve an equation:

Mathematics

2 answers:

Svet_ta [14]3 years ago

7 0

Answer:

A addition property of equality

Step-by-step explanation:

marshall27 [118]3 years ago

6 0

A. Addition Property of Equality. The property that states that if you add the same number to both sides of an equation, the sides remain equal. Which as we see the equation still remains equal.

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What pattern is represented by the polynomial ?

Ymorist [56]

Answer:

choice C. Perfect square trinomial is correct.

Step-by-step explanation:

We need to find the pattern which is represented by the polynomial $4x^2+12x+9$ .

To find that pattern, we need to factor $4x^2+12x+9$

$4x^2+12x+9$

$=4x^2+6x+6x+9$

$=2x(2x+3)+3(2x+3)$

$=(2x+3)(2x+3)$

$=(2x+3)^2$

which is a perfect square.

Hence choice C. Perfect square trinomial is correct.

8 0

3 years ago

The midpoint of \overline{\text{AB}}AB is M(-6, -4)M(−6,−4). If the coordinates of AA are (-4, -3)(−4,−3), what are the coordina

valentina_108 [34]

Answer:

The coordinates of B is (-8,-5).

Step-by-step explanation:

The midpoint of line AB is M. The coordinate of M is (-6,-4).

The coordinates of A is (-4,-3)

We need to find the mid point of B.

If M(x,y) is the midpoint of the coordinates (x₁,y₁) and (x₂,y₂). The mid point theorem is used as follows :

$M(x,y)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})$

Let the mid point of B is (x₂,y₂). Put (x,y) = (-6,-4), (x₁,y₁) = (-4,-3).

$(-6,-4)=(\dfrac{-4+x_2}{2},\dfrac{-3+y_2}{2})\\\\\dfrac{-4+x_2}{2}=-6\ \text{and}\ \dfrac{-3+y_2}{2}=-4\\\\-4+x_2=-12\ \text{and}\ -3+y_2=-8\\\\x_2=-12+4\ \text{and}\ y_2=-8+3\\\\x_2=-8\ \text{and}\ y_2=-5$

So, the coordinates of B is (-8,-5).

6 0

3 years ago

Geometry solve for x

Stels [109]

Answer:

x = 74 degrees

Step-by-step explanation:

If we assume that this triangle is isosceles, then the sum of the two angles at the bottom is (180 - 32) degrees, or 148 degrees. The angle x is half that, i. e., x = 74 degrees

8 0

3 years ago

An icicle drips at a rate that can be represented by the function f(x) = −x2 + 8x − 7, where 0 ≤ x ≤ 10 and x is the number of h

mart [117]

Find when f(x) = 0. By factorizing, we have

-x² + 8x - 7 = - (x - 7) (x - 1) = 0

so either x - 7 = 0 or x - 1 = 0, or simply x = 1 or x = 7.

Split the domain into three intervals, and check the sign of f(x) over each interval at some test point in the interval. The sign will tell you when the icicle is dripping (positive) or not (negative).

• [0, 1) : at x = 0, we have f(0) = -7 < 0

• (1, 7) : at x = 2, we have f(2) = 5 > 0

• (7, 10] : at x = 8, we have f(8) = -7 < 0

This tells us that the icicle is not dripping when 0 ≤ x < 1, begins to drip when x = 1, drips for the duration of 1 < x < 7, stops dripping when x = 7, and keeps on not dripping when 7 < x ≤ 10.

3 0

2 years ago

The average of a distribution is equal to the summation of x divided by the number of observations is called

bekas [8.4K]

Answer :

<h3>The average of a distribution is equal to the summation of x divided by the number of observations is called <u>Mean</u></h3>

Step-by-step explanation:

<h3>The average of a distribution is equal to the summation of x divided by the number of observations is called <u>Mean</u></h3><h3>For :</h3>

We know that $The average (Mean)=\frac{sum of the observations}{Number of observations}$
$Mean=\frac{\sum x}{N}$ where N is the number of observations

<h3>Therefore the average of a distribution is known as Mean.</h3>

4 0

3 years ago