The correct answer for b^2 - 4ac (also known as the discriminant) should be 57 or answer C.
You first must solve the equation for 0.
<span>1 = 2x2<span> + 7x ---> subtract 1 from each side
</span></span>0 = 2x^2 + 7x - 1
Now we can find a as the coefficient of the x^2 term, b as the coefficient for the x term an c as the number at the end.
a = 2
b = 7
c = -1
Now we can plug these values in for b^2 - 4ac
b^2 -4ac
(7)^2 - 4(2)(-1)
49 + 8
57
Answer:
d(5) = 5
Step-by-step explanation:
The nth term is given by :
...(1)
We need to find the 5th term of the above sequence. For this, put n = 5 in the above formula.
So, the 5th term in the above sequence is 5.
-x + 2y = 4
2y = x + 4
y = 1/2x + 2.....slope here is 1/2. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we need is -2 (see how I flipped the slope and changed the sign)
y = mx + b
slope(m) = -2
(-2,1)...x = -2 and y = 1
now we sub and solve for b, the y int
1 = -2(-2) + b
1 = 4 + b
1 - 4 = b
-3 = b
so ur perpendicular line is : y = -2x - 3
Since we need an angle measure we have to use an inverse trig ratio, sin^-1, cos^-1, or tan^-1.
Setting up the right triangle we have the opposite and adjacent so we use tan.
tan angle = 28/32
tan^-1 (28/32) = 41 degrees
Answer:
(6,35)
Step-by-step explanation:
Set both equations equal to each other and solve for x
8x+11=5x+29, Subtract 5x from both sides
3x+11=29, Subtract 11 from both sides
3x=18 Divide by 3
x=6
Substitute x=6 back into either equation to solve for y
y=8(6)+11
y=48+11
y=59