In this problem why is the easiest to substitute.
Just set the equations equal to each other because they both equal y
-x + 4 = 2x - 8
(You want to get all the x's to one side so add x to each side)
4 = 3x - 8
(next add 8 to both sides)
12 = 3x
(lastly divide 3 from both sides)
4 = x
You have got your x so now it is time to find that y just replace x to either of the two equations
y = 2(4) -8 or y = -(4) + 4
y = 8 - 8 y = 0
y = 0
Final Answer: y=0, x=4
Answer:
(c) 714.96 = 21.6(w +4.7)
Step-by-step explanation:
The area of the rectangular park will be the product of its length and width. This relation is used to write an equation to find the original width of the park.
<h3>Width</h3>
Let w represent the original width of the park in meters. The new width is 4.7 meters more, so is represented by (w +4.7).
<h3>Other dimensions</h3>
The length of the park is given as 21.6 meters. The area is given as 714.96 square meters.
<h3>Area formula</h3>
The various dimensions of the park are related by the area formula:
A = LW
714.96 = 21.6(w +4.7)
That is adjacent and huptonuse
soh cah toah
so that is cos
cos(x)=15/21
so tehrfor
cos⁻¹(15/21)=x
where cos⁻¹ means inverse not 1/cos
use your calculator to evaluate cos⁻¹(15/21) in degrees
it is about 44.4153 degres, rounded to 44 degrees
The vertex is in the form (x, y).
The x value of the vertex is found using x = -b/2a.
After finding the x values, plug it into the given inequality to find the y value of the vertex.
Then express the vertex as a point in the form (x, y).
Let p be: John goes to the beach
Let q be: He will go surfing.
Then in symbolic form, the argument becomes:
p ⇒ q
p
---------------------
∴ q
An argument is valid if the conjuction of the premises implies the conclusion.
p | q | p ⇒ q | (p ⇒ q) ∧ p | [(p ⇒ q) ∧ p] ⇒ q
---------------------------------------------------------------------\
F | F | T | F | T
F | T | T | F | T
T | F | F | F | T
T | T | T | T | T
The table above shows that the argument is a tautology.
Hence, the argument is valid
