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anastassius [24]
3 years ago
6

Does anybody know the answer. 51 - 3 + 5k = 58

Mathematics
1 answer:
swat323 years ago
3 0

Answer:

k=2

Step-by-step explanation:

1. 48+5k=58

2. 5k=58-48

3. 5k=10

4. k=10/5

5. k=2

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Given ACM, angle C=90º. AP=9, PM=12. Find AC, CM, AM.
Gnesinka [82]

Answer:

AM = 25, AC = 15, CM = 20

Step-by-step explanation:

The given parameters are;

In ΔACM, ∠C = 90°, \overline{CP} ⊥ \overline{AM}, AP = 9, and PM = 16

\overline{AC}² + \overline{CM}² = \overline{AM}²

\overline{AM} = \overline{AP} + PM = 9 + 16 = 25

\overline{AM} = 25

\overline{AC}² = \overline{AP}² + \overline{CP}² = 9² +  \overline{CP}²

∴ \overline{AC}² = 9² +  \overline{CP}²

Similarly we get;

\overline{CM}² = 16² + \overline{CP}²

Therefore, we get;

\overline{AC}² + \overline{CM}² = 9² +  \overline{CP}² + 16² + \overline{CP}² = \overline{AM}² = 25²

2·\overline{CP}² = 25² - (9² + 16²) = 288

\overline{CP}² = 288/2 = 144

\overline{CP} = √144 = 12

From \overline{AC}² = 9² +  \overline{CP}², we get

\overline{AC} = √(9² +  12²) = 15

\overline{AC} = 15

From, \overline{CM}² = 16² + \overline{CP}², we get;

\overline{CM} = √(16² + 12²) = 20

\overline{CM} = 20.

3 0
3 years ago
What is an algebraic expression for 'two thirds of a number (d) to the third power' ?
horrorfan [7]
It is (2/3d)^3
Make sure the exponent is on the outside. This is because you are raising 2/3d. Not just D

5 0
3 years ago
Read 2 more answers
What is the solution to the system of equations below? HELP!!!! y = negative one-fourth x + 2 and 3 y = negative three-fourths x
Oxana [17]

Answer:

No solution

Step-by-step explanation:

Step 1: Write out equations

y = -1/4x + 2

3y = -3/4x - 6

Step 2: Substitution

3(-1/4x + 2) = -3/4x - 6

Step 3: Distribute

-3/4x + 6 = -3/4x - 6

From here, we can see that we have the same slope but different y-intercept. This means that the 2 lines are parallel and therefore never intersect.

Alternatively, you could graph the equations and see that the 2 lines are parallel and never intersect.

5 0
3 years ago
Read 2 more answers
Find the lcm of ÷ 16a^4+4a^2+169,8a^3+2a(2a+13)+16a^2<br>​
klio [65]

Answer:

Step-by-step explanation:

Hope this helps u !!

5 0
3 years ago
HELP ME PLEASE THANK YOU.
Ilya [14]

Answer:

81 points

Step-by-step explanation:

8/9 = 72 / x

8 goes into 72, 9 times

9 times 9 is 81

I'm sorry if the explanation doesn't make sense. I hope this helps!

4 0
3 years ago
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