All categories

3 years ago

Find slope of 12x+3y=6

Mathematics

2 answers:

lapo4ka [179]3 years ago

4 0

Y=-4x+2

Y=mx+b
12x+3y=6
3y=-12x+6
/3 /3
Y=-4x+2

sashaice [31]3 years ago

4 0

Answer:

The slope should be -4

Step-by-step explanation:

Use the formula y=mx+b to find this answer.

Sorry if I am wrong

You might be interested in

What is the percent for 220

Nataly_w [17]

Answer:

I'm pretty sure it's 2.2

5 0

3 years ago

Read 2 more answers

Find the x-intercept and

svetlana [45]

9514 1404 393

Answer:

x-intercept: (16, 0)

y-intercept: (0, 8)

Step-by-step explanation:

Each intercept is found by setting the other variable to zero and solving for the variable of interest.

I like to find the intercepts from this form because it basically involves dividing the constant by the variable coefficient.

x-intercept

y = 0, so we have 4x = 64 ⇒ x = 64/4 = 16

x-intercept is (16, 0)

y-intercept

x = 0, so we have 8y = 64 ⇒ y = 64/8 = 8

y-intercept is (0, 8)

_____

Additional comment

There is a form of the linear equation called the "intercept form" that looks like this:

x/a +y/b = 1

where 'a' is the x-intercept and 'b' is the y-intercept.

You can get this form by dividing the standard form equation by the constant. Here, that gives ...

4x/64 +8y/64 = 1

x/16 +y/8 = 1

This is nice because it gives both intercepts with one operation (divide by the constant). It's easy enough to do, but not always easy to explain. This form of the equation of a line is rarely seen.

5 0

3 years ago

Can someone please help me with number 3

gladu [14]

Answer:

...

Step-by-step explanation:

the central angle is the same as the arc

mDE= 104°

mFE= 76°

mDEF= 180°

mCFD= 180°

mDFE= 256°

5 0

3 years ago

Patti is using beads to make anklets. Each anklet needs 9 beads, and Patti has 67 beads. How many of her beads will not be used?

Andreyy89

Answer:

Step-by-step explanation:

she can use all 63 beads because 67 divided by 9 is 7 remainder 4

8 0

3 years ago

Read 2 more answers

Help me with these questions

Elena L [17]

Answer: a = 4, b = 163,422

Step-by-step explanation:

$P = P_{0} e^{kt}$ P is the new population, P₀ is the initial population, k is the growth rate, t is the time elapsed.

Part a) What do we know?

P = 7003

P₀ = unknown

k = .21 (converted 21% into a decimal)

t = 36 yrs (2006 - 1970)

$P = P_{0} e^{kt}$ need to solve for P₀

$7003 = P_{0} e^{(.21)(36)}$

$7003 = P_{0} e^{7.56}$

7003 = P₀ (1920)

$\frac{7003}{1920} = P_{0}$

3.6 = P₀

rounded to the nearest whole number = 4

Part b) What do we know?

P = unknown

P₀ = 7003

k = .21 (converted 21% into a decimal)

t = 15 yrs (2021 - 2006)

$P = P_{0} e^{kt}$ need to solve for P₀

$P = 7003 e^{(.21)(15)}$

$P = 7003 e^{3.15}$

P = 7003(23.33)

P = 163,422.46

rounded to the nearest whole number = 163,422

*************************************************************

Answer: 2, -1

Step-by-step explanation:

eˣ² = eˣ * e²

eˣ² = eˣ⁺²

x² = x + 2

x² - x - 2 = 0

(x - 2)(x + 1) = 0

x - 2 = 0 or x + 1 = 0

x = 2 or x = -1

Check both answer for validity:

eˣ² = eˣ⁺²

e⁴ = e⁴ or e¹ = e¹

TRUE TRUE

*****************************************

Answer: 0 = ln 1

Step-by-step explanation:

$e^{-10} = \frac{1}{e^{10}}$

$ln(e^{-10}) = ln(\frac{1}{e^{10}})$

-10 = ln 1 - 10 log rules say division is subtraction

0 = ln 1

5 0

3 years ago