Step-by-step explanation:
The sum of a twice number, x, and twice another number, y, is -78.
If the discriminant is negative no real solution exists.
If the discriminant is equal to 0 only one real solution exists.
If the discriminant is positive 2 real solutions exist.
The discriminant:
D = b² - 4 a c
1 ) - 7 x² + 6 x + 3 = 0
D = 6² - 4 · ( - 7 ) · 3 = 36 + 84 = 120 > 0
Answer: b) two solutions
2 ) - 8 x² - 8 x - 2 = 0
D = ( - 8 )² - 4 · ( - 8 ) · ( - 2 ) = 64 - 64 = 0
Answer: a ) one solution
2.23 as a fraction would be 2 and 23/100. Since the "3" is in the hundred<em>th</em>s place, the fraction has to be over 100. The 2 in front of the decimal point (.) is the whole number. That means 2.23 as a fraction would be 2 and 23/100.
There are some errors in your table. Column 1, for example, should be all odd numbers. Columns should alternate even/odd.
It can be useful to build a spreadsheet that fills these numbers.
Answer:
Assume ΔABC is an acute triangle.
Step-by-step explanation:
Given the triangle ABC.
We have to tell the first step of indirect proving ΔABC is not an acute triangle.
An indirect proof, also known a proof by contradiction. When we use indirect proof method, we assume the opposite of our theory to be true and then by applying our assumed theory we contradict the given statement which proves our supposition is wrong. In other words, we assume our theory is false.
Hence, our first step is to
Assume ΔABC is an acute triangle.
Third option is correct.
