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2 years ago

%20-%20%20%7Bb%7D%5E%7B2%7D%20%29" id="TexFormula1" title="( \frac{1}{2} {a}^{2} + \frac{1}{2} ab - {b}^{2} )" alt="( \frac{1}{2} {a}^{2} + \frac{1}{2} ab - {b}^{2} )" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Zigmanuir [339]2 years ago

5 0

Answer:

$\frac{1}{2}$ (a + 2b)(a - b)

Step-by-step explanation:

Assuming you require the expression to be factored

Given

$\frac{1}{2}$ a² + $\frac{1}{2}$ ab - b² ← factor out $\frac{1}{2}$ from each term

= $\frac{1}{2}$ (a² + ab - 2b²) ← factor the quadratic

Consider the factors of the coefficient of the b² term(- 2) which sum to give the coefficient of the ab- term (+ 1)

The factors are + 2 and - 1, since

2 × - 1 = - 2 and 2 - 1 = + 1, thus

a² + ab - 2b² = (a + 2b)(a - b) and

$\frac{1}{2}$ a² + $\frac{1}{2}$ ab - b² = $\frac{1}{2}$ (a + 2b)(a - b)

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According to the given information, segment uv is parallel to segment wz, while angles squ and vqt are vertical angles. angle vq

svp [43]

Angle vqt is congruent to Angle squ by the vertical angles theorem. because angles squ and wrs are corresponding angles, they are congruent according to the Corresponding angles theorem.

Option b is true.

Here,

Segment uv is parallel to segment wz,

Angles squ and vqt are vertical angles.

Angle vqt is congruent to Angle squ by the Vertical angles theorem.

What is corresponding angles?

Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.

Now,

Angle vqt is congruent to Angle squ by the vertical angles theorem.

When, two angles are corresponding angle then, Angle vqt is congruent to Angle squ by the Vertical angles theorem.

And, they are congruent according to the Corresponding angles theorem.

Hence, Segment uv is parallel to Segment wz, while Angles squ and vqt are Vertical angles. Angle vqt is congruent to Angle squ by the vertical angles theorem. Because angles squ and wrs are corresponding angles, they are congruent according to the corresponding angle theorem. finally, Angle vqt is congruent to Angle wrs by the transitive property of equality.

So, Option b is true.

Learn more about the corresponding angles visit:

brainly.com/question/22190474

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4 0

1 year ago

You walk through a used car lot and list the price and model year of each car you see determine whether the two variables are re

Blizzard [7]

Answer:

The narrative in the question can not be described as a function

Step-by-step explanation:

For the purpose of clarity, we will rephrase the question. The key point in the question is to determine if the price and the model are related and if they fit into independent and dependent function.

Moving forward, to properly answer this question, it will be good for us to understand what dependent and independent functions are.

DEPENDENT FUNCTIONS: These are functions or can also be refereed to as variable that represents quantities or values whose parameter depends on how the independent variable is manipulated.

Example:

You are doing job to earn your a salary. For each project you do, you earn $10 dollar. In this case, the dependent variable is the amount of money you earn because the amount of money you earn depends on how many job or project you do.

INDEPENDENT FUNCTIONS: These are functions or can also be refereed to as variable that we have control over in the process of an event therefore, we are at liberty to manipulate it as we so wish as indicated in the dependent variable.

Going back to the narrative of the question, the narrative in the question can not be described as a function because the two identifies variables which are the price and the model years are been altered due to the fact that it is a used car lot so they have both lost their true value or worth. However, some might argue that price here is the independent function or variable while model year is the dependent variable.

5 0

2 years ago

Please help with 11c!?

Contact [7]

Answer:

"To the nearest year, it would be about 9 years"

Step-by-step explanation:

11c)

This is compound growth problem. It goes by the formula:

$F=P(1+r)^t$