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Valentin [98]
2 years ago
5

Y = x^2+5x-3 y-x=2 What is the solution of the linear-quadratic system of equations

Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
8 0

Answer:

(-5,-3)

(1,3)

Step-by-step explanation:

Solving with substitution

Set both equations to y =  ...

y = x^2 + 5x - 3

----------------

y - x =2

y = x + 2

----------------

Substitute one of the Y's with the other Y = equation.

x + 2 = x ^2 + 5x -3

Set one side to 0

0 = x^2 + 4x -5

x^2 + 4x - 5 = 0

Simplify by factoring

(x-1) (x+5)

Get your X values

x-1 = 0

x = 1

x+5 = 0

x = -5

Plug in each X into one of the equations to get your Y value.

1st X

y = x + 2

y = 1 + 2

y = 3

When X = 1, Y = 3

2nd X

y = x + 2

y = -5 + 2

y = -3

When X = - 5, Y = -3

Your answers are (1,3) and (-5,-3)

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Answer:

The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon. Plug the values of a and p in the formula and get the area. As an example, let's use a hexagon (6 sides) with a side (s) length of 10.

The area of a polygon is the two-dimensional set of all points surrounded by the sides of the polygon.

If you're looking for an equation, it varies based on the number of sides and the shape of the polygon.

Step-by-step explanation:

Apothem

A regular polygon is equilateral (it has equal sides) and equiangular (it has equal angles). To find the area of a regular polygon, you use an apothem — a segment that joins the polygon’s center to the midpoint of any side and that is perpendicular to that side (segment HM in the following figure is an apothem).

6 0
3 years ago
Which reason justifies the statement below
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A. Definition of Congruence
4 0
3 years ago
There are 24 boys in a class, and 2/3 of the students in the class are boys. How many students are girls ?
tresset_1 [31]

Answer:

12 girls.

Step-by-step explanation:

24 ÷ 2 = 12

(This is divided to find out 1 part of the whole class as ⅓)

⅓ = 12

1 (whole) take away ⅔ = ⅓

Since ⅔ + ⅓ = 1

⅓ = fraction of girls in class

1 part = 12

So ⅓ = 12 girls out of 36 total students

Hope this helps. :)

5 0
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D=v^2/2a need help with the answer
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Answer:

Step-by-step explanation:

Performance Assessment Making a Fruit Bowl Bill has 5 apples and 5 bananas. He can only put 5 pieces of fruit in a bowl. How can Bill make a table to show the different ways he can put fruit in the bowl? 0 2 3 4 5 5. MP.7 Look for Patterns Write the 3. MP.8 Generalize What will be the same in each row of the table? missing numbers in the table. How do you know your answers are coect? . MP.2 Reasoning Will the number of bananas get smaller or larger as you move down the table? How do you know?

7 0
3 years ago
A political action committee is interested in the proportion of all registered voters who will vote "Yes" on a measure to expand
kirza4 [7]

Answer: parameter: The proportion of registered voters who will vote Yes on the measure.

Sample: The 1000 registered voters who participated in the study.

Statistic: The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measure.

Variable: Yes or No for each registered voter

Population: All registered voters in the US

Data: The list of Yes and No answers that were given by the 1000 participants in the study.

Step-by-step explanation:

Definitions of the given terms:

  • Population: Large groups of individuals having similar characteristics as per the researcher's point of view.
  • Sample: It is a subset of the population used to represent it.
  • Parameter: Measure of particular characteristics in the population.
  • Statistic: Measure of particular characteristics in the sample.
  • Variable: Characteristics that vary.
  • Data: A collected information facts and statistics.

Hence, by using the above definitions, we have

  • Parameter: The proportion of registered voters who will vote Yes on the measure.
  • Sample: The 1000 registered voters who participated in the study.
  • Statistic: The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measure.
  • Variable: Yes or No for each registered voter.
  • Population: All registered voters in the US.
  • Data: The list of Yes and No answers that were given by the 1000 participants in the study.
4 0
3 years ago
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