5sqrt(x+7)=-10
Dividing both sides by 5:
5sqrt(x+7)/5=-10/5
sqrt(x+7)=-2
Squaring both sides of the equation:
[sqrt(x+7)]^2=(-2)^2
x+7=4
x+7-7=4-7
x=-3
Replacing in the original equation:
5sqrt(x+7)=-10
5sqrt(-3+7)=-10
5sqrt(4)=-10
5(2)=-10
10=-10 It's not equal, then x=-3 is an extraneous solution
Answer: x < 10
Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is 6x by adding 5 to both sides.
That leaves you with 6x < 60 and now just divide both sides by 2 and x < 10.
Notice that because we divide both sides of the inequality
by a positive number, not a negative, we did not change the
direction of the inequality sign.
Finally, put your answer in set notation, {x: x < 10}.
Unlike an equation which normally has one solution, the answer to an inequality must be stated as a solution set because an entire set of answers will work. In this problem, it's any number less than 10.
By looking at the problem, we can tell that 466 dollars is 2/3 of the original price. therefore, 1/3 of it would be 233 so the original price is 699
Answer:
A = 22.5 m²
Step-by-step explanation:
longest side length
b = √((-7 + 4)² + (-1 - 8)²) = √90
other sides
a = √((-1 + 7)² + (2 + 1)²) = √45
height
h = √((√45)² - (½√90)²) = √22.5
Area of triangle
A = ½bh = ½√90√22.5 = 22.5 m²
a little math shows that this triangle is a tilted half of a square with sides √45
Answer:
you would distribute the -4 into the parenthesis and the answer would be option D
Step-by-step explanation:
