Answer:
y = - 2x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 11) and (x₂, y₂ ) = (5, - 3)
m =
=
= - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 2, 11), then
11 = 4 + c ⇒ c = 11 - 4 = 7
y = - 2x + 7 ← equation of line
Common denominators!
<span>If you have to add... 3 fractions with 4 as the denominators: </span>
<span>Then you can combine the numerators: </span>
<span>a/c+ b/c = (a+b)/c and a/d + b/d + c/d = (a+b+c)/d </span>
<span>Let's plug in the numbers.</span>
<span>a=3, b=1, c=1, d =4 </span>
<span>3/4 + 1/4 + 1/4 = 5/4 or 1 1/4! </span>
<span>So the equation for the problem: </span>
<span>Lt = L1+ L2 + L3 + L4 or </span>
<span>L4 = Lt - L1 - L2 - L3 Plug in the numbers </span>
<span>L4 ( remains ) = L total, 72 - L1 ( first cut at 30 3/4 ) - L2 ( second cut 12 1/4 ) - L3 ( 16 1/4 ) </span>
<span>So 72 - 30 - 12 - 16 - 3/4 - 1/4 - 1/4 =? </span>
<span>( break this down into simple terms and do it in your head... </span>
<span>72 - 30 = 42, 42 - 21 = 30, 30 - 16 = 14, 14 - 3/4 = 13 1/4 - 1//4 = 13 - 1/4 = 12 3/4!</span>
Answer:
16 inches
Step-by-step explanation:
2 1/4 = 9/4 inches
Number of pieces = 36 / 9/4
= 36 + 4/9
= 16 inches
For this case we first write the equation of which we will use:
I (db) = 10log (l / l)
We substitute the value of l.
We have then:
l = 10 ^ 8lo
Substituting in the given equation:
I (db) = 10log ((10 ^ 8lo) / lo)
Rewriting:
I (db) = 10 * log (10 ^ 8)
I (db) = 80
Answer:
I (db) = 80
option 4
The area of cardboard she used is given by the formula A =
, where s represents the side length of the cube.
Now the question asks for the equation , which we can use to solve for s
it means
we have to solve for s
or in other words we have to isolate s
Now
A=
Divide both sides by 6

or

Take square root on both side

So this is the formula we can use to solve for s