Answer:
Now, 3x 2+x+5⩾0
This is because b² −4ac=1−4×5×3
=−59 (roots are imaginary)
3x²+x+5=(x−3)² =x²+9−6x and x−3⩾0
2x²+7x−4=0
2x²+8x−x−4=0
2x(x+4)−1(x+4)=0
(2x−1)(x+4)=0
x= 1/2 and−4 but x≥3
∴ No solution.
lol hehehe
2/3=14/21 and 5/7=15/21 so 14/21+15/21=29/21 or 1 and 8/21
The Shark's teeth has a base of 2 cm and height of 1 cm.
Step-by-step explanation:
Step 1 :
Given,
the area of the shark's triangular teeth = 1 sq cm
Let b be the base and h be the height of the shark's triangular teeth.
We have the teeth's height is 1 cm short than the base
So h = b - 1
Step 2 :
Area of Triangle = (
) × b × h = 1
Substituting h = b -1
(
) × b × (b-1) = 1
=> b² - b = 2 = > b²-b-2 = 1
Solving for b we have
(b-2)(b+1) = 0
b = 2 or b = -1
Since b is the base , we take the positive value as length/distance cannot be negative.
So b = 2
h = b - 1 = 2 - 1 = 1
h = 1
Step 3 :
Answer :
The Shark's teeth has a base of 2 cm and height of 1 cm.
Answer:
y = -
x - 3
Step-by-step explanation:
The equation of a line in slope- intercept fprm is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 7 is in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
, thus
y = -
x + c ← is the partial equation of the perpendicular line
To find c substitute (3, - 4) into the partial equation
- 4 = - 1 + c ⇒ c = - 4 + 1 = - 3
y = -
x - 3 ← equation of perpendicular line