Find quadratic equations with roots -5 and -2

Mathematics

2 answers:

algol133 years ago

8 0

Answer:

y=(x+5)(x+2)

Step-by-step explanation:

Intercept form of quatratics is the best way to solve this equation, since you're given the roots needed.

The intercept form equation is y=a(x-p) (x-q) [where p and q are your roots/intercepts].

So, you input the intercepts and get y=(x-(-5))(x-(-2)), so your final answer should be y=(x+5)(x+2).

Trava [24]3 years ago

7 0

Answer:

y=(x+5)(x+2)

Step-by-step explanation:

Answer:

y=(x+5)(x+2)

Step-by-step explanation:

Intercept form of quadratics is the best way to solve this equation, since you're given the roots needed.

The intercept form equation is y=a(x-p) (x-q) [where p and q are your roots/intercepts].

So, you input the intercepts and get y=(x-(-5))(x-(-2)), so your final answer should be y=(x+5)(x+2).

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points a,b and c are collinear on AC, and AB:BC=3/4. A is located at (x,y), B is located at (4,1), and c is located at (12,5). w

olga_2 [115]

We have two unknowns: x and y. Now, we have to formulate 2 equations. The first would come from the use of the given ratio:

We use the distance formula to find the distance between coordinates:

3/4 = √[(x-4)²+(y-1)²] / √[(4-12)²+(1-5)²]
√[(x-4)²+(y-1)²] = 3√5
(x-4)²+(y-1)² = 45
x² - 8x + 16 + y² - 2y + 1 = 45
x² - 8x + y² - 2y = 28 --> eqn 1

The second equation must come from the equation of a line:
y = mx +b
m = (5-1)/(12-4) = 1/2

Substitute y=5 and x=12 for point (12,5)
5 = (1/2)(12) + b
b = -1

So, the second equation is

y = 1/2x -1 or x = 2 + 2y --> eqn 2

Solving the equations simultaneously:
(2 + 2y)² - 8(2 + 2y) + y² - 2y = 28
Solving for y,
y = -2
x = 2+2(-2) = -2

Therefore, the coordinates of point A is (-2,-2).

5 0

3 years ago

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storchak [24]

Answer:

12 the answer is 12

Step-by-step explanation:

7 0

2 years ago

The weekly salaries of a sample of employees at the local bank are given in the table below. Employee Weekly Salary Anja $245 Ra

evablogger [386]

The variance for the data is 17,507. 5.

Given

The weekly salaries of a sample of employees at the local bank are given in the table below.

Employee Weekly Salary Anja $245 Raz $300 Natalie $325 Mic $465 Paul $100.

<h3>Variance</h3>

Variance is the expected value of the squared variation of a random variable from its mean value, in probability and statistics.

The mean value of the salaries of employees is;

$\rm Mean= \dfrac{245+300+325+465+100}{5}\\\\Mean=287$

The variance is given by;

$\rm Variance=\sqrt{\dfrac{(245-287)^2 +(300-287)^2 +(325-287)^2 +(465-287)^2 +(100-287)^2}{5-2}} \\\\Variance = 132.316}\\\\On \ Squaring \ both \ the \ sides\\\\Variance^2=17,507. 5$