Answer:
y = - 4
Step-by-step explanation:
x = - 1 is the equation of a vertical line parallel to the y- axis
The equation of a line perpendicular to it will therefore be a horizontal line parallel to the x- axis with equation
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (8, - 4 ) with y- coordinate - 4 , then
y = - 4 ← equation of perpendicular line
Check the picture below.
how do we know? well, notice h(t), starts off at 12, up up up reaches 47.84 then down down down, which is pretty much the trajectory of a flying object, by the time it gets to 44, is still going down.
now, let's look at g(t), starts off at 10, and goes up up up, never down, by the time it gets to 41, is still going up,
so at second 2, h(t) is 44 and going down, g(t) is 41 and going up, at 2.2 h(t) is 40.16, and g(t) is 44.1, between that lapse, h(t) became 44, 43, 42, 41, in the same lapse g(t) became 41, 42, 43, 44, so somewhere in those values h(t) = g(t).
what does the solution mean? It's the seconds or the instant lapse when the first cannon ball was at the same height as the second cannonball.
1. First find the LCD of the two fractions.
They share the denominator 6.
Turn 1/2 into a fraction with a denominator of 6.
2*3=6, so 1*3=3
3/6
Now add.
Leave denominators alone, but add numerators.
3+5=8
8/6
Now simplify.
Divide both by 2.
8/2=4
6/2=3
4/3 is your answer or 1 1/3
2. Multiply straight across.
3*2=6
4*7=28
6/28
Simplify
You get 3/14 as your answer.
Answer:
199
Step-by-step explanation:
2004 is 24 years after 1980. The polynomial remainder theorem tells you the remainder from division by x-24 will be the function value c(24). We can find the remainder/function value by evaluating the function rewritten to Horner form:
c(x) = ((0.006x -0.48)x +12.8)x +85
c(24) = ((0.006(24) -0.48)(24) +12.8)(24) +85 = (-.336(24) +12.8)(24) +85
= 4.736(24) +85 = 198.664
c(24) ≈ 199
The approximate number of countries attending the 2004 Olympics was 199.
Each year, your $3,425 which earn 3% simple interest earns $102.75. Multiplying this value by 15 gives $1541.25. Then, adding the latest value we have with the initial invest will finally give us $4966.25. Thus, after 15 years Naomi will have $4966.25.
