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2 years ago

Write an equation of the line passing through the point A(3,−4) that is parallel to the line y = −x+8.

Mathematics

1 answer:

andrezito [222]2 years ago

4 0

Answer:

y = -x -1

Step-by-step explanation:

The x- and y-coordinates will be the same for the parallel line, so we only need to find the constant that needs to replace the +8 in the given equation.

y = mx +b

y = -x +b . . . . . with the coefficient of x filled in

-4 = -(3) +b . . . with the given point filled in

b = -1 . . . . .add 3 to both sides

The equation is ...

y = -x -1

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If a ladder is to be placed 3 feet from the side of a house. If top of the ladder rests exactly on the edge of the house when it

likoan [24]

Answer:

7 feet long

Step-by-step explanation:

This set up will give a right angle triangle where;

Length of the ladder is the hypotenuse = x

The distance of the ladder to the house is the adjacent = 3 feet

Angle of elevation theta = 72 degrees

Using the CAH in trigonometry identity;

cos theta = adjacent/hypotenuse

cos 72 = 3/hyp

hyp = 3/cos72

hyp = 3/0.4258

hyp = 7.05 feet

Hence the ladder is approximately 7 feet long

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2 years ago

HELP PLEASE NEED THIS DONE ASAP

Sindrei [870]

Answer:

I did learn this before I'm not sure, but I think the answer is X x 10 = Y because on the chart for example X= 1 and Y= 10 so whatever number is on Y is basically X multiplied by 10. I hope this helps!

8 0

2 years ago

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A bacteria culture begins with 15 bacteria which double in amount at the end of every hour. How many bacteria are grown during t

elixir [45]

We use P = i•e^rt for exponential population growth, where P = end population, i = initial population, r = rate, and t = time
P = 2•i = 2•15 = 30, so 30 = 15 [e^(r•1)],
or 30/15 = 2 = e^(r)
ln 2 = ln (e^r)
.693 = r•(ln e), ln e = 1, so r = .693
Now that we have our doubling rate of .693, we can use that r and our t as the 12th hour is t=11, because there are 11 more hours at the end of that first hour
So our initial population is again 15, and P = i•e^rt
P = 15•e^(.693×11) = 15•e^(7.624)
P = 15•2046.94 = 30,704

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3 years ago

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T-Shirts & More Print Shop will print any image on a coffee mug for a cost of $2 per mug and a one-time charge of $12 to set

viktelen [127]

T-Shirts $ More Shop: Final cost = 2m + 12

m = mug

You Say It, We Print It: Final Cost = 5m

If you buy 5 mugs from both place:

2 * 5 = 10

10 + 12 = 22

$22 for T-Shirts & More