K+3=-9
k=-12 is the answer
Answer: You walked 12 dogs
Step-by-step explanation:
If you charge 0.75 per dog then we can represent that by the expression 0.75x where x is the number of dogs. If you charge $5 for the initial amount, then the whole expression will be 0.75x +5 and that has to equal the amount that you earned working on Saturday.So the equation will be
0.75x + 5 = 14 Now solve for x by first subtracting 5 from both sides
-5 -5
0.75x = 9 Divide both sides by 0.75
x = 12
Answer:
Hypothenus = 22
Step-by-step explanation:
From the question given above, we were told that the triangles are congruent (i.e same size). Thus,
AC = EF
BC = DE
To obtain the length of each Hypothenus, we shall determine the value of y and x. This can be obtained as follow:
For y:
AC = y + 3
EF = 2y + 1
AC = EF
y + 3 = 2y + 1
Collect like terms
3 – 1 = 2y – y
2 = y
y = 2
For x:
BC = 5x + 7
DE = 6x + 2y
y = 2
DE = 6x + 2(2)
DE = 6x + 4
BC = DE
5x + 7 = 6x + 4
Collect like terms
7 – 4 = 6x – 5x
3 = x
x = 3
Finally, we shall determine the length of each Hypothenus. This can be obtained as follow:
Hypothenus = BC
Hypothenus = 5x + 7
x = 3
Hypothenus = 5x + 7
Hypothenus = 5(3) + 7
Hypothenus = 15 + 7
Hypothenus = 22
OR
Hypothenus = DE
DE = 6x + 2y
y = 2
x = 3
Hypothenus = 6(3) + 2(2)
Hypothenus = 18 + 4
Hypothenus = 22
is the only acute angle whose sin = 1/2. Therefore, cos (
) =
Answer:
C. Divide both sides of the equation by -2.
Step-by-step explanation:
The goal of the equation is to isolate x. In order to do that we have to remove the '-2' by doing the inverse operation. That is the opposite operation, for example addition and subtraction, multiplication and division.
Since x is being multiplied by -2, we do the inverse which is division.
