All categories

1 year ago

Select the equation that contains the points (-2 -2) and (4 10)

Mathematics

1 answer:

Brums [2.3K]1 year ago

8 0

Answer: y-6= 2(x-2)

Step-by-step explanation:

find the slope then put it in point slope form.

You might be interested in

Solve - 4x2 - 4x - 9 = 0, stating your solutions in the form a = bi. Someone please answer!!

PIT_PIT [208]

Answer:

$x=-0.5 \pm -i\sqrt{2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Standard Form: ax² + bx + c = 0
Quadratic Formula: $x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Algebra II

Imaginary Roots: √-1 = i
Standard Form: a + bi

Step-by-step explanation:

Step 1: Define

-4x² - 4x - 9 = 0

a = -4

b = -4

c = -9

Step 2: Find roots

Substitute: $x=\frac{4\pm\sqrt{(-4)^2-4(-4)(-9)} }{2(-4)}$
Exponents: $x=\frac{4\pm\sqrt{16-4(-4)(-9)} }{2(-4)}$
Multiply: $x=\frac{4\pm\sqrt{16-144} }{-8}$
Subtract: $x=\frac{4\pm\sqrt{-128} }{-8}$
Factor: $x=\frac{4\pm \sqrt{-1} \cdot \sqrt{128} }{-8}$
Simplify: $x=\frac{4\pm 8i\sqrt{2} }{-8}$
Factor: $x=\frac{4(1\pm 2i\sqrt{2}) }{-8}$
Divide: $x=\frac{1\pm 2i\sqrt{2}}{-2}$
Expand: $x=\frac{-1}{2} \pm \frac{-2i\sqrt{2} }{2}$
Simplify: $x=\frac{-1}{2} \pm -i\sqrt{2}$
Evaluate: $x=-0.5 \pm -i\sqrt{2}$

6 0

2 years ago

Someone please help me on both the questions!!!

bonufazy [111]

Step-by-step explanation:

al nth term:

numerator:

$= {n}^{2}$

denominator:

$= n + 1$

so nth term :

$= \frac{ {n}^{2} }{n + 1}$

b). 1; 11; 27; 49

first difference: 10; 16; 22

second difference :6

formula for 1st difference:3a+b

formula for 2nd difference:2a

Therefore:

2a=6

a=3

3a+b=10

sub in a

3(3)+b=10

9+b=10

b=1

sub into quadratic formula

${an}^{2} + bn + c$

$(3) {(1)}^{2} + (1)(1) + c = 1$

$3(1) + 1 + c = 1$

$3 + 1 + c = 1$

$4 + c = 1$

$c = - 3$

So Tn:

$3 {n }^{2} + 1n - 3$

7 0

1 year ago

Read 2 more answers

In 2010, there were 2,468,435 total deaths in the total US population, with 308,745,538 persons at mid year (July 1). ;Of these

xenn [34]

Answer:

193.586 deaths per 100,000

Step-by-step explanation:

The cause-specific mortality rate for a disease in a per 100,000 basis is determined as the total number of deaths due to the disease multiplied by 100,000 and divided by the average (mid-year) total population.

There were 597,689 deaths due to diseases of the heart in a population of 308,745,538 people. The cause-specific mortality rate for diseases of the heart per 100,000 in this population is:

$M=\frac{597,689}{308,745,538}*100,000\\ M=193.586\ deaths/100,000$

The mortality rate is 193.586 deaths per 100,000.

7 0

2 years ago

There are 4 blue, 6 green, 4 yellow, and 10 black marbles in a a bag . If one marble is picked at random, what is the probabilit

Salsk061 [2.6K]

The probability is 18/24

good luck

7 0

2 years ago

Plzzz helpppp!!!!! How can you identify the solution to a system of inequalities?

VladimirAG [237]

Answer:

The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system. Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality

7 0

2 years ago