How to do 4000,000+30,000+800+20+5 in standard form

Write an equation in slope-intercept form of the line that passes through (-1, 4) and (0, 2)

MrMuchimi

Answer:

y = -2x + 2

General Formulas and Concepts

Pre-Alg

Order of Operations: BPEMDAS

Algebra I

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (-1, 4)

y-intercept (0, 2)

Step 2: Find slope m

Substitute: $m=\frac{2-4}{0+1}$
Subtract/Add: $m=\frac{-2}{1}$
Divide: $m=-2$

Step 3: Write linear equation

y = -2x + 2

4 0

3 years ago

Rewrite in standard form of a circle x^2-6x+y^2-4y-12=0

cricket20 [7]

Answer: $(x-3)^{2}$ + $(y-2)^{2}$ = $5^{2}$

Step-by-step explanation:

The standard form of equation of a circle is written in the form:

$(x-a)^{2}$ + $(y-b)^{2}$ = $r^{2}$

where a and b are the coordinates of the center and r is the radius.

All we need to do is to covert the given equation into this form, how do we do that?

We will achieve this by using the completing method of solving quadratic equation.

Firstly re - write the equation , that is

$x^{2}$ - 6x + $y^{2}$ -4y = 12

The next thing is to Complete the square for each of x and y

How do we do this ?

i. multiply the coefficient of x and y by 1/2

ii. square the results

iii. Add the result to both sides of the equation , that is

$x^{2}$ - 6x + $3^{2}$ - 4y + $2^{2}$ = 12 + $3^{2}$ + $2^{2}$

The next thing is to write the Left hand side of the equation as a perfect square binomial and simplify the Right hand side. That is

$(x-3)^{2}$ + $(y-2)^{2}$ = 25 , that is

$(x-3)^{2}$ + $(y-2)^{2}$ = $5^{2}$

Which is now in standard form of the equation of a circle.

6 0

3 years ago

Solve for x in the diagram below. Numerical answer only, no units

DiKsa [7]

Answer:

12

Step-by-step explanation:

Since it is on a right angle we can equation the sum of both angles to 90:
6x-2+20 = 90

Now we simplify:

6x+18=90

Now we subtract 18 from both sides:

6x+18-18=90-18

Simplify:

6x=72

Now we divide both sides by 6:

6x÷6=72÷6

Simplify:

x = 12

8 0

2 years ago

Can anyon help me plzz...

frez [133]

Answer:

A= 3.8 B= 0.127 C= 32.5

Step-by-step explanation:

8 0

3 years ago

a food snack manufacturer samples 9 bags of pretzels off the assembly line and weights their contents. If the sample mean is 14.

gladu [14]

Answer:

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as shown;

CI = xbar ± Z(б/√n)

xbar is the sample mean

Z is the value at 95% confidence interval

б is the standard deviation of the sample

n is the number of samples

Given xbar = 14.2, Z at 95% CI = 1.96, б = 0.70 and n = 9

Substituting this values into the formula;

CI = 14.2 ± 1.96(0.70/√9)

CI = 14.2 ± 1.96(0.70/3)

CI = 14.2 ± 1.96(0.2333)

CI = 14.2 ± 0.4573

CI = (14.2-0.4573, 14.2+0.4573)

CI = (13.7427, 14.6537)

Hence, the 95% confidence interval of the true mean is within the range

13.7≤ $\mu$ ≤14.7 (to 1 decimal place).

6 0

3 years ago