MATHEMATICS HIGH SCHOOL

What are the roots of the equation x^2+4x-16=0

Answers

Answer 1
Answer: x^2+4x+16=0 \n \n \Delta=b^2-4ac \n \Delta=4^2-4*1*16 \n \Delta = 16-64 \n \Delta=-48 \n \Delta \ \textless \ 0 =\ \textgreater \ \text{we don't have REAL solutions} \n \n \text{but it can solve with the multitude of complex numbers }\mathbb{C}

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Two acute triangles are similar. Which of the following must the similar triangle have?A) every pair of sides and angles congruent
B) at least one pair of congruent sides and one pair of congruent angles
C) congruent corresponding angles and proportional side lengths
D) a right angle and a hypotenuse

Answers

Answer:

The correct answer is C). congruent corresponding angles and proportional side lengths

Step-by-step explanation:

Similar Triangles : The two triangles are said to be similar to each other if their all corresponding angles are congruent to each other and the corresponding sides are proportional to each other.

Now, Given that two acute triangles are similar.

So, By using the definition of similarity of two triangles

We can conclude that :

All the corresponding angles of the acute triangles will be congruent to each other.

Also, The sides of both the acute triangles will be proportional to each other.

Therefore, The correct answer is C). congruent corresponding angles and proportional side lengths
B is the only one that makes sense if you break them each down. An Acute doesnt have every Pair of angles congruent, the don't have to have proportional side lengths, and it can't have a right angle or it would be a right triangle.

11.68 - 0.48 ÷ (-1.6) =

Answers

The answer to your question is 11.98!

Answer:

11.98

Step-by-step explanation:

First according to the order of operations, you do the division first -0.48 divided by -1.6 which is 0.3 then we subtract 11.68+0.3 which is 11.98

Hope this is helpful and detailed

Zoe put in 80 hours of work in July for which she is entitled to $920.65. She also works 5 hours overtime. If she receives a paycheck of $1030.45 for the month, how much is she paid for an hour of overtime work?

Answers

Answer:

1951.1

Step-by-step explanation:

Just add her money up 920.65 + 1030.45= 1951.1

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

brainly.com/question/29656189

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Audrey is buying a new car for 32,998.00. She plans to make a down payment of 4,200.00. If she's to make monthly payments of $525 for the next five years, what APR has she paid

Answers

The price of the new car is 32 998.00 dollars
=> he made a down payment  of 4,200.00 dollars
=> 32 998.00 - 4,200.00 = 28 798 dollars remaining
=> She pays 525 dollars for the next 5 years 
=> 525 * 12 months = 6300 dollars * 5 years = 31 500 dollars
=> 31 500 dollars - 28 798 = 2702
=> 2702 / 5 years = 540.4 dollars is the APR.

GRADE 10 MATH QUESTIONThe city is trying to open a road that connects a cabin in the woods to a
roadside. The roadside connects 2 parks. The cabin site is located at (8,6) on
the map and the parks are at point A (-2,10) and point B (5,-4). Find the
route that minimizes the cost and the number of trees that have to be cut
down (Hint: Find the shortest distance between the cabin and the roadside)

Answers

Answer:

the shortest route is from cabin site to B

Step-by-step explanation:

see my attachment

Answer:

answer is b

Step-by-step explanation:
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