Remember that exponentioal rule
x^m times x^n=x^(m+n)
therefor
7^4 times 7^-6=7^(4-6)=7^(-2)
remember the other rule
x^-m=1/(x^m) so
7^-2=1/(7^2)=1/49
answe ris A
Answer:
x = 5
Step-by-step explanation:
√(2x − 1) + 2 = x
√(2x − 1) = x − 2
2x − 1 = (x − 2)²
2x − 1 = x² − 4x + 4
0 = x² − 6x + 5
0 = (x − 1) (x − 5)
x = 1 or 5
Check for extraneous solutions.
√(2(1) − 1) + 2 = 1
√(1) + 2 = 1
3 = 1
No solution
√(2(5) − 1) + 2 = 5
√(9) + 2 = 5
5 = 5
x = 5
Answer:
z^1+3z+2
Step-by-step explanation:
(z+1)(z+1)
Multiply each term in the first parenthesis by each term in the second parenthesis
Z x z+2z+z+2
Calculate the product
<u>z</u>^2 +2z+z+2
collect like terms
z^2+3z+2
2z+z
If a term doesnt have a coefficient it is considered that the coefficient is 1
2z+1z
(2+1)z
(2+1)z
3z
z^2+3z+2
Answer:
<h3>The option B) is correct</h3><h3>Therefore the coordinate of B
is (6,-3)</h3>
Step-by-step explanation:
Given that the midpoint of segment AB is (4, 2). The coordinates of point A is (2, 7).
<h3>To Find the coordinates of point B:</h3>
- Let the coordinate of A be
is (2,7) respectively - Let the coordinate of B be
- And Let M(x,y) be the mid point of line segment AB is (4,2) respectively
- The mid-point formula is
<h3>
</h3>
- Now substitute the coordinates int he above formula we get
- Now equating we get
Multiply by 2 we get Multiply by 2 we get
Subtracting 2 on both
the sides Subtracting 7 on both the sides
Rewritting the above equation Rewritting the equation
<h3>Therefore the coordinate of B
is (6,-3)</h3><h3>Therefore the option B) is correct.</h3>
Answer:-5.93958251....
Step-by-step explanation:
