To solve this problem you must apply the proccedure shown below:
1. You have to r<span>ewrite x=12 in polar form. Then, you have:
12=rCos</span><span>θ
2. Then, you must solve for r, as following:
r=12/Cos</span><span>θ
</span> 3. You have that 1/Cosθ=Sec<span>θ, therefore:
</span> r=12(1/Cos<span>θ)
</span> r=12Sec<span>θ
</span> Therefore, as you can see, the answer is: r=12Secθ<span>
</span>
Answer:
(C)Determine the principal square root of both sides of the equation.
Step-by-step explanation:
Given: Isosceles right triangle XYZ (45°–45°–90° triangle)
To Prove: In a 45°–45°–90° triangle, the hypotenuse is 
times the length of each leg.
Proof:
Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, 
Since a=b in an isosceles triangle:
Therefore, the next step is to Determine the principal square root of both sides of the equation.
Answer:
The value of x is 10
Step-by-step explanation:
We can use a system of equations to solve this.
Cups of 25% bleach solution used = x
Cups of 1-% bleach solution used = 5
Cups of solution we get = y
The first equation becomes:
x + 5 = y
Using the decimal forms of each percentage solution
25% solution for x cups = 0.25x
10% solution for 5 cups = 0.1(5)
20% solution for y cups = 0.2 y
The second equation becomes:
0.25x + 0.1(5) = 0.2y
So the system of equations is:
x + 5 = y
0.25x + 0.1(5) = 0.2y
Solve both equations simultaneously to find the values of x and y:
x = 10 cups
y = 15 cups
So, on day 1, the plant was say "P" cm tall.
then 2 weeks go by, or 14 days, and the plant grew to 452 cm.
Answer:
The best estimate solution to the system of equations is (0, 3)
Step-by-step explanation:
we have
y=14x-2 ------> equation A
y=-2x+3 -----> equation B
Solve the system by elimination
Multiply the equation B by 7 both sides
(7)y=(7)(-2x+3)
7y=-14x+21 -------> equation C
Adds equation A and equation C
y=14x-2
7y=-14x+21
-----------------
y+7y=-2+21
8y=19
y=19/8
Find the value of x
y=14x-2
19/8=14x-2
19=112x-16
112x=19+16
112x=35
x=35/112
so
The solution is the point (35/112,19/8)
Convert to decimal number
(0.3125,2.375)
therefore
The best estimate solution to the system of equations is (0, 3)
