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Gemiola [76]
3 years ago
13

Solve for k. 18 = 10 + 2k k =

Mathematics
1 answer:
slavikrds [6]3 years ago
7 0

18 = 10 + 2k

move 10 to the other side

sign changes from +10 to -10

18-10=10-10+2k

18-10= 2k

8= 2k

divide by 2 to get k by itself

8/2= 2k/2

Cross out 2 and 2 , divide by 2 and then becomes 1*1*k= k

k=8/2

Answer: k= 4

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Starting at the park, Jake bikes 3 blocks north, 4 blocks east, 4 blocks south, 7 blocks west, and 1 block north. How many block
yan [13]
I'll use a coordinate plane for this since it's easier (for me) :)

Red = park
Blue = his trail
Pink = distance from park = 3

Hope this helped! Please comment or DM me if you have anymore questions or don't understand :)

7 0
3 years ago
18
asambeis [7]

Answer:

B

Step-by-step explanation:

When we have a horizontal translation on the x-axis, it means the translation in question would be affecting only the x component of our function

With respect to the question, what we have here is that we are going to take out some values from x (or add some values) to it

Thus;

f(x) = x^2 would be;

g(x) = (x-4)^2

Corresponding to a shift to the right of upto 4 units on the x axis

7 0
3 years ago
Solve x^2 + x - 12 = 0
bogdanovich [222]

Answer:

x₁ = -4

x₂ = 3

Step-by-step explanation:

x²+ x + 12 = 0

x = {-1±√((1²)-(4*1*-12))} / (2*1)

x = {-1±√(1+48)} / 2

x = {-1±√49} / 2

x = {-1±7} / 2

x₁ = {-1-7} / 2 = -8/2 = -4

x₂ = {-1+7} / 2 = 6/2 = 3

Check:

x₁

-4² + (-4) - 12 = 0

16 - 4 - 12 = 0

x₂

3² + 3 - 12 = 0

9 + 3 - 12 = 0

6 0
2 years ago
Captain Daniel has a ship, the H.M.S Crimson Lynx. The ship is two furlongs from the dread pirate Stephanie and her merciless ba
Neko [114]

Answer:

Zero(0)

Step-by-step explanation:

From the given information, we are to determine the probability that both ships are hit given that the pirate shoots first.

There are two scenarios

Since the pirate is to shoot first

  1. If the pirate misses, the Captain's ship is not hit. Therefore there's no chance of both ships getting hit.
  2. If the pirate hits, we are told that if his ship has been hit, Captain Daniel will always miss. Therefore there is also no chance of both ships getting hit.

P(both ships to be hit given that pirate shoots first) =0

6 0
3 years ago
Vector u has initial point at (3, 9) and terminal point at (–7, 5). Vector v has initial point at (1, –4) and terminal point at
spin [16.1K]

Answer:

⟨-5, -1⟩

Step-by-step explanation:

Vector:

A vector is given by its endpoint subtracted by its initial point.

Vector u has initial point at (3, 9) and terminal point at (–7, 5)

Then

u = (-7, 5) - (3,9) = (-7 - 3, 5 - 9) = (-10,-4)

Vector v has initial point at (1, –4) and terminal point at (6, –1).

Then

v = (6,-1) - (1,-4) = (6-1,-1-(-4)) = (5,3)

What is u + v in component form?

u + v = (-10,-4) + (5,3) = (-10+5,-4+3) = (-5,-1)

⟨-5, -1⟩ is the answer.

3 0
3 years ago
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