Answer:
6+9=15
Step-by-step explanation:
Answer:
Step-by-step explanation:
By Inscribed Angle Theorem, the value of an inscribed angle enclosed by an arc is the half the value of that arc.
⇒ ∠RPQ = 108°/2
⇒ ∠RPQ = 54°
Answer:
33
Step-by-step explanation:
Step 1: The Diagonals of the Convex Quadilateral are Mutually Perpendicular this makes the shape a Rhombus Shape
Step 2: The formula for a area of a rhombus is the multiply the two lengths and divide by two.
In this Question we have x×y÷2 or xy/2
Step 3: The sum of the lengths of the diagonals is 12
x+y=12
y=12-x
Therefore, the area, as a function of x alone = x(12-x)/2
Step 4: To find the maximum area, let's find the derivative of the area function in respect to x and then equate to 0.
d/dx(x(12-x)/2)=0
d/dx(12x - x^2) = 0
12-2x=0
12-0=2x
12=2x, divide both sides by 2
x= 6
Step 5: Calculate the Maximum Area
The maximum area will then be 6(12 - 6)/2
= (72-6)/2 = 66/2= 33
So, the maximum area is 33.
Answer:
As a fraction, the answer is 3/4
In decimal form that is equivalent to 0.75, which converts to 75%
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Work Shown:
13 red
13 green
13 yellow
13 blue
13+13+13+13 = 52 total
52 - 13 = 39 non-blue
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There are 39 non-blue candies out of 52 total.
39/52 = 3/4 is the probability, as a fraction, that we pick a non-blue candy.
3/4 = 0.75 = 75%
Answer:
y=-3x+2
Step-by-step explanation:
Slope-intercept form is given by the equation y=mx+b, where m is defined as the slope and b is defined as the y-intercept (the value on the y-axis that the line crosses). First we can determine the slope by using the slope formula.
m=(y2-y1)/(x2-x1), given two points (x1, y1) and (x2, y2). Keep in mind you can choose which point is (x1,y1) and which is (x2,y2) as long as you are consistent.
Plugging in for (-1,5) and (1,-1), you will get:
m=(-1-5)/(1-(-1))=-6/2=-3
Next, we need to find the y-intercept. For this problem, you can determine it is 2 by looking at the graph of the line. We now have both components to create the slope-intercept form.
m=-3, b=2
y=-3x+2
