we have
we know that
The absolute value has two solutions
Subtract both sides
Step 1
Find the first solution (Case positive)
Subtract both sides
Multiply by both sides
Step 2
Find the second solution (Case negative)
Adds both sides
<u>Statements</u>
<u>case A)</u> The equation will have no solutions
The statement is False
Because the equation has two solutions------> See the procedure
<u>case B)</u> A good first step for solving the equation is to subtract 0.5 from both sides of the equation
The statement is True -----> See the procedure
<u>case C)</u> A good first step for solving the equation is to split it into a positive case and a negative case
The statement is False -----> See the procedure
case D) The positive case of this equation is 0.5 – |x – 12| = 0.25
The statement is False
Because the positive case is -----> see the procedure
case E) The negative case of this equation is x – 12 = –0.75
The statement is True -----> see the procedure
<u>case F)</u> The equation will have only 1 solution
The statement is False
Because The equation has two solutions------> See the procedure
Answer:
E 10 sqrt(2)
Step-by-step explanation:
If this is an isosceles triangle than AB = BC and AB = 10 so BC = 10
We want to us the Pythagorean theorem since it is a right triangle
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
10^2 + 10^2 = AC^2
100 + 100 = AC^2
200 = AC ^2
Take the square root of each side
sqrt(200) = sqrt( AC^2)
sqrt(100*2) = AC
We know sqrt(ab) = sqrt(a) sqrt(b)
sqrt(100) sqrt(2) = AC
10 sqrt(2) = AC
Answer:
0 < f(x) ≤ 3/4, or (0, 3/4]
Step-by-step explanation:
x² - x + 1 = x² - x + 1/4 + 3/4 = (x - 1/2)² + 3/4
It is always positive and has a minimum value of 3/4 at x = 1/2
So f(x) is always positive (not equal zero) and has a maximum value of 3/4
Then the range is 0 < f(x) ≤ 3/4, or (0, 3/4]
Answer:
the answer is 2
Step-by-step explanation:
because 7 + 2 = 9 then 9+2=11
0.34 x 9 is 3.06
Answer= 3.06
Hope this helps!