Answer:
Option A: (-10,0)
Step-by-step explanation:
The given equation of the parabola is in the form of 
where the focus is located at 
. Therefore, the focus of the parabola is 
.
The value of x in the given equation [ √( 1 + (25/144) ) = 1 + (x/12) ] is 5.
<h3>What is an Equation?</h3>
An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.
Given that;
- √( 1 + (25/144) ) = 1 + (x/12)
First, we square both sides
√( 1 + (25/144) ) = 1 + (x/12)
(√( 1 + (25/144) ))² = (1 + (x/12))²
1 + (25/144) = 1 + ( x²/144)
Collect like terms
1 - 1 + (25/144) = ( x²/144)
25/144 = x²/144
We cross multiply
25 × 144 = x² × 144
Multiply each sides by 1/144
x² = 25
x = √25
x = 5
Therefore, the value of x in the given equation [ √( 1 + (25/144) ) = 1 + (x/12) ] is 5.
Learn more about equations here: brainly.com/question/14686792
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Answer:
❍ C. tan θ = 8 / 15
Step-by-step explanation:
Using trigonometry functions
sin θ = opposite side / hypotenuse
= 8 / 17
tan θ = opposite side / adjacent side
= 8 / 15
Hence, tan θ = 8 / 15 which is option C. is the correct statement.
Answer:
No, (8, -3) is not a solution.
Step-by-step explanation:
2x + 3y = 12
(substitute the variables for the point; x = 8 & y = -3)
2(8) + 3(-3) = 12
16 - 9 = 12
7 ≠ 12
9514 1404 393
Answer:
m = 1/2
b = -7
Step-by-step explanation:
The formulas for these can be used.
m = (y2 -y1)/(x2 -x1) . . . . . . . . . formula for slope given 2 points
m = (-9 -(-11))/(-4-(-8)) = 2/4
m = 1/2
__
b = y1 -m·x1 . . . . . . . . . . . . formula for y-intercept given slope and point
b = -11 -(1/2)(-8) = -11 +4
b = -7
