Answer:
5x^2 - 4x - 3 = 0
Step-by-step explanation:
For the equation
ax^2 + bx + c = 0
the roots are [-b +/- √(b^2 - 4ac)] / 2a
So comparing the terms to the values in the question:
a = 5
b = -4
c = -3
Answer:
False
Step-by-step explanation:
An obtuse angle is an angle greater than 90 and smaller than 180.
Both 120 and 135 are obtuse angles.
But they are not congruent.
Answer:
-1/3
Step-by-step explanation:
-8x-5+3x=7+4x-9
-5x-5=7+4x-9
-5x-4x-5=7-9
-9x-5=-2
-9x=-2+5
-9x=3
x=3/-9
x=-1/3
Answer 2/13
Step-by-step explanation:
There are 52 cards in a standard deck: 13 ordinal cards (Ace -10, jack, Queen, King)and 4 of them
- one to each sute (hearts, diamonds, clubs, spades ) and so we have 4x13=52
There are 8 card that fit the question (4 each of access and kings).
so if you in a random draw the odds of drawing one of those 8 card out of the total number of 52 is 8/52
which we simplify
8/2=2/13
Answer:
C.
2.67 inches by 2.27 inches
Step-by-step explanation:
We can use ratios to solve
1 in x inches
-------- = ---------
7.5 ft 20 ft
Using cross products
1*20 = 7.5x
Divide each side by 7.5
20/7.5 =7.5x/7.5
2.67 =x
We can do the same for the other dimension
1 in x inches
-------- = ---------
7.5 ft 17 ft
Using cross products
1*17 = 7.5x
Divide each side by 7.5
17/7.5 =7.5x/7.5
2.27 =x
2.67 inches by 2.27 inches
