Answer/Step-by-step explanation:
1. The vertex of am angle is formed when two lines join together. The vertex of the angle shown in the diagram is located outside the circle.(<R)
2. The lines that created <FRT (lines FR & TR) are secants
3. The major arc = FT = 140°
minor arc = QS = 44°
4. Formula of Exterior angles of a circle = (major arc - minor arc)/2
x = (140 - 44)/2
x = 96/2
x = 48°
To solve this problem, first let x=0.933333(repeating). Then, you want to multiply both sides by 10 to get 10x = 9.33333 (repeating). Next, take equation 2 and minus equation 1 from it giving you 9x = 8.4. Finally, multiply both sides by 10 and you will get 90x = 84. Divide both sides by 90 giving x=84/90. Answer is 84/90. 84/90 can reduce to 14/15.
Answer:
The answer is y= 100 +15x
Step-by-step explanation:
You start with a service fee of $100
$15 per hour
x because the amount of hours can vary
y which is the total cost
y= 100+ 15x
Answer:
3.2
Step-by-step explanation:
Given the coordinates
X(4, -3)
Y(2, 1.5)
A(3, 3)
Z(4,-1)
We are to find the distance from point A to XZ
First let us get the coordinate XZ
According to vector notation XZ = Z-X
XZ = (4,-1)-(4,-3)
XZ = [(4-4),-1-(-3)]
XZ = (0, 2)
Next is to find the distance from A(3, 3) to XZ(0,2) using the formula for calculating the distance between two points.
D = √(x2-x1)²+(y2-y1)²
x1 = 3, y1 = 3, x2 = 0, y2 = 2
D = √(0-3)²+(2-3)²
D = √9+1
D = √10
D = 3.16
Hence the distance from point A to XZ to nearest tenth is 3.2
Answer:
y-intercept of f(x) = 1
y-intercept of g(x) = 1
The slope of f(x) = 1.5
The slope of g(x) = 2
Step-by-step explanation:
x : 0 2 4
f(x) : 1 4 7
The table x , f(x) represents a linear function
The linear function has the form y = mx + c
where m is the slope and c is y-intercept
m = (y₂-y₁)/(x₂-x₁) = (7-4)/(4-2) = 3/2 = 1.5
y-intercept is the value of y at which x = 0
From the table at x = 0 ⇒y= f(x) = 1 ⇒ c = 1
∴ f(x) = 1.5x + 1
And given g(x) = 2x + 1
We will Compare the y-intercepts and slopes of the linear functions f(x) and g(x)
y-intercept of f(x) = 1
y-intercept of g(x) = 1
The slope of f(x) = 1.5
The slope of g(x) = 2
So, y-intercept of f(x) = y-intercept of g(x) = 1
And The slope of g(x) is greater than The slope of f(x)
