Answer:
-5.6
Step-by-step explanation:
first distribute the 2.5
also convert the 2/5 to decimal (0.4) because it's hard to work with both decimal and fraction
2.5y + 2.5*0.4 = -13
2.5y +1 = -13
y = -14/2.5 = -5.6
Answer:
Step-by-step explanation:
1. 10² + 7² = x²
149 = x²
x = √149
2. x² + 19² = 21²
x² = 21² - 19² = 80
x = √80 = 4√5
3. x² + 16² = 27²
x² = 27² - 16² = 473
x = √473
4. 5.3² + 12.8² = x²
191.93 = x²
x = √191.93
5. 9² + 20² = x²
481 = x²
x = √481
6. 31 = x + 2√(19²-17²) = x + 2·6√2 = x + 12√2
x = 31 - 12√2
Answer:
x = 4, x ≠ -1
Step-by-step explanation:
√3x + 4 = x
(√3x + 4)² = x² (Square both sides to get rid of the radical.)
3x + 4 = x²
0 = x² - 3x - 4 (Set everything to 0 by moving everything to one side.)
0 = (x - 4)(x + 1) (Factor.)
x = 4 x = -1
Now we need to check for extraneous solutions:
√3(4) + 4 = 4
√12 + 4 = 4
√16 = 4
4 = 4
√3(-1) + 4 = -1
√-3 +4 = -1
√1 = -1
1 ≠ -1
-1 is an extraneous solution.
You can determine if things are parallel if the lines will eventually meet or not. M and N are one line while P and Q are also a line. Therefore, we can say P is one line while M is also one line. The answer would be is that they are parallel, the two lines will not crash with one another. To show your work as if they are parallel, you can continue the lines down and write a note saying they won't collide or you just say they won't collide and are parallel lines.
Answer:
15625
Step-by-step explanation:
Lets use the information to present the question into mathematical form:

so this means -5 is multiplying itself 6 times so this means
value of negative 5 superscript 6 means
= -5 x -5 x -5 x -5 x -5 x -5
so the answer is 15625