Answer: Find the discriminant
Check explanation
Step-by-step explanation:
b^2-4ac
if it is equal to 0 there is no solution
Greater then 0 there is 2 real solution
Less then 0 there is 1 real
3^2-4(2*-1)
9-4(-2)
9(8)
72 there is at least one real solution
Answer:
401
Step-by-step explanation:
1. Approach
To solve this problem, one first has to think about the given figure in a certain way. In the figure, one can see that it is a circle attached on either side of a rectangle. To find the perimeter of the figure, one has to find the circumference of the circle and then add two sides of the rectangle to the answer
2. Circumference of the circle
The formula to find the circumference of a circle is;
(pi) or
(pi)
~ diameter times the value (pi)
Normally to find the circumference of a semicircle, one would have to divide this formula by 2, but since in this case, one has to add two congruent semicircles, so therefore, the effect of dividing the equation by two, only to multiply by two again cancels, and hence, there is no need to divide by 2.
Substitute in the values;
(78)(pi)
~ 245
3. Find the perimeter of the entire object
Now, one has to add the two additional sides of the figure, to the circumferences of the semicircles to get the final answer;
78 + 78 + 245
= 401
Answer:
x=36
Step-by-step explanation:
The 2 angles, ∠EAF and ∠FAB are on a straight line. This means they are supplementary, and add to 180 degrees.
So,
∠EAF +∠FAB =180
We know that ∠EAF is 3x and ∠FAB is 2x, so we can substitute them in
3x+2x=180
Combine like terms
5x=180
Divide by 5 on both sides
x=36
So, x=36 degrees, or the last choice
Step-by-step explanation:
The ratio's can be expressed as fractions and you may compare those.
In order to compare fractions you need to bring them into equal denominator.
8 and 9 have LCM of 8*9 = 72 since they have no common factors.
<u>The equivalent fractions with common denominator are:</u>
- 5/8 = 9*5/(9*8) = 45/72
- 7/9 = 8*7/(8*9) = 56/72
<u>Now we can compare the fractions:</u>
- 45/72 < 56/72, since 45 < 56