Answer:
y=2, the equation of a line which is perpendicular to the line 3x+5=0
A(-5/3,2) the foot of the perpendicular from B to the line
Step-by-step explanation:
d1 : 3x+5=0, so 3x=-5, x=-5/3
y=2, the equation of a line which is perpendicular to the line 3x+5=0
A(-5/3,2) the foot of the perpendicular from B to the line
Answer: <span>A. 23 – 19 = 4
23 and 19 are odd
4 is even
23-19: </span><span>difference of two odd numbers</span>
Answer: 591
Step-by-step explanation:
12 x 13= 156
12 x 5= 60 x 2= 120
12 x 5= 60/2= 30 x2= 60
5 x 12= 60
13 x 15= 195
195 + 60 + 60 + 120 + 156= 591
<h3>
Answer: Choice C) 31</h3>
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Explanation:
The recursive rule
f(n+1)=f(n)-3
can be rearranged to
f(n) = f(n+1)+3
after adding 3 to both sides
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Now let's say we plug in n = 3
f(n) = f(n+1)+3
f(3) = f(3+1)+3
f(3) = f(4)+3
f(3) = 22+3
f(3) = 25
Repeat for n = 2
f(n) = f(n+1)+3
f(2) = f(2+1)+3
f(2) = f(3)+3
f(2) = 25+3
f(2) = 28
Each time we keep adding 3 to get the previous term (since the original recursive rule says to subtract 3 to get the next term; we just go backwards of what the instructions say).
Lastly, we can find that f(1) = f(2)+3 = 28+3 = 31 making the answer to be choice C.
Answer:
Area of circle = 465.82 cm²
Step-by-step explanation:
Given the following data;
Circumference of the hub cap = 76.49 cm
Pie, π = 3.14
To find the area of the hub cap;
First of all, we would determine the radius of the hub cap.
Mathematically, circumfeence of a circle is equal to;
C = 2πr
Where:
C is the circumference of a circle.
r is the radius of a circle.
C = 2πr
76.49 = 2 * 3.14 * r
76.49 = 6.28r
Radius, r = 76.49/6.28
Radius, r = 12.18 cm
Next, we find the area of the hub cap;
Area of circle = πr²
Area of circle = 3.14 * 12.18²
Area of circle = 3.14 * 148.35
Area of circle = 465.82 cm²
However, if the circumference of the hub cap were smaller, the area of the hub cap would also be smaller. Thus, the circumference of a hub cap is directly proportional to the area of a hub cap.
