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3 years ago

What is y+4=-6(x+6) witten in standard form?

Mathematics

1 answer:

Scrat [10]3 years ago

4 0

Answer:

6x + y = -40

General Formulas and Concepts:

<u>Pre-Algebra</u>

Distributive Property
Equality Properties

<u>Algebra I</u>

Standard Form: Ax + By = C

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate
y₁ - y coordinate
m - slope

Step-by-step explanation:

<u>Step 1: Define</u>

[Point Slope] y + 4 = -6(x + 6)

<u>Step 2: Rewrite</u>

<em>Find standard form</em>

Distribute -6: y + 4 = -6x - 36
Add 6x on both sides: 6x + y + 4 = -36
Subtract 4 on both sides: 6x + y = -40

You might be interested in

Factor the expression x2 – 9x + 14

Anna [14]

X² - 9x + 14
x² - 2x - 7x + 14
x (x - 2) -7 (x - 2)
x - 7 =0 OR x - 2 = 0
x = 7 OR x = 2

In short, Your Roots would be 2 & 7

Hope this helps!

7 0

3 years ago

Read 2 more answers

You are in charge of the Annual Powder Puff football game. You designed a t-shirt to sell during the event. A company charges $7

vekshin1

We're looking for C(h), where h is the hundreds of shirts. The fact that they cost "$500 for each additional 100 t-shirt" tells us the slope is 500. Knowing that 1 hundred costs 750, we could use point-slope at this point: (C - 750)/(h - 1) = 500C - 750 = 500h - 500C(h) = 500h + 250 We can check that C(1) = 750 and C(2) = 1250, as we expect. I'll leave it to you to evaluate C(5).

7 0

3 years ago

Evaluate the expression, using the given value of the variable. z ÷ 3 – 5z + 4(z – 2) when z = 12 A. –16 B. –96 C. –14 D. –98

Tanzania [10]

12 ÷ 3 - 5(12) + 4(12 - 2)
= 4 - 60 + 4(10)
= -56 +40
= -16

6 0

3 years ago

Read 2 more answers

Two friends are collecting stuffed animals. Veronica has 5 more than double the number of stutted

STatiana [176]

v + m = 32 and v = 5 + 2m are the equations that are used to determine m, the number of stuffed animals Mariposa has

Number of stuffed animals Mariposa has is 9 and number of stuffed animals with Veronica is 23

<h3><u>Solution:</u></h3>

Let "v" be the number of stuffed animals with Veronica

Let "m" be the number of stuffed animals with Mariposa

Given that,

Together, they have 32 stuffed animals

Therefore,

v + m = 32 --------- eqn 1

Veronica has 5 more than double the number of stutted animals as her friend Mariposa

Therefore,

Number of stuffed animals with Veronica = 5 + 2(number of stuffed animals with Mariposa)

v = 5 + 2m ---------- eqn 2

Thus eqn 1 and eqn 2 can be used to determine m, the number of stuffed animals Mariposa has

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

5 + 2m + m = 32

5 + 3m = 32

3m = 32 - 5

3m = 27

Substitute m = 9 in eqn 2

v = 5 + 2(9)

v = 5 + 18

Thus number of stuffed animals Mariposa has is 9 and number of stuffed animals with Veronica is 23

5 0

3 years ago

The tens digit of a two-digit number is twice the units digit. If the digits are reversed, the new number is 36 less than the or

Ludmilka [50]

Try this solution:
let the unknown two-digits number be 'xy'.
Then it is possible to write any two-digit number as 10x+y, where x - the tens digit and y - the unit digit.
Using the rule described above the phrase 'the tens digit of a number is twice the units digit' may be written as x=2y.
Using the same rule the phrase 'if the digits are reversed, the new number is 36 is less than the original number' may be written as (10x+y)-(10y+x)=36.
These two equations may be resolved as system of two equations:
$\left \{ {{x=2y} \atop {10x+y-(10y+x)=36}} \right. \ =\ \textgreater \ \ \left \{ {{x=8} \atop {y=4}} \right.$
Check: the original number is 84, the new number is 48; difference is 84-48=36.

answer: 84

7 0

3 years ago