Answer:
Step-by-step explanation:
We can solve this question by understanding what is first says. The expression tells us 4 square which is 16 plus to to the power of x and all that divided by two:
Now we can solve for x:
1.
2.
3.
Answer:
a. Rational number 1.26
Simplest radical 3−√3
b. Simplest radical 28+10√3
Rational number 45.32
c. Rational number 89
Step-by-step explanation:
a. √3(√3-1)
To get the simplest radical
Apply the distributive property.
√3*√3-√3
Combine using the product rule for radicals.
√3*3+√3*−1
Move −1 to the left of √3.
√3*√3*3-1*√3
Multiply 3 by 3.
√9−1*√3
Rewrite 9 as 3^2
√3^2-1 *√3
Pull terms out from under the radical, assuming positive real numbers.
3−1*√3
Rewrite −1√3 as −√3.
3−√3
Rational number 1.26
b. (5+√3)²
Expand
(5+√3)²= 25 +5*√3+5*√3+3= 28 +10√3
Simplest radical 28+10√3
Rational number 45.32
c. (10+√11)(10-√11)
Expand
(10+√11)(10-√11)= 10*10+ 10*-√11+10*√11+√11*-√11
=100+ 10*-√11+10*√11- 11
=89- 10*√11+10*√11
=89
Slope is 3, and (1, 6) is on the line.
Answer:
Step-by-step explanation:
m = 3
(1 , 6)
y - y1 = m(x -x1)
y - 6 = 3(x - 1)
y - 6 = 3x - 3
y = 3x - 3 + 6
y = 3x +3
Standard form:
-3x + y - 3 = 0