Hey there! :)
Perpendicular to y = -2x - 3 ; passes through (2, -2)
Using our given information, let's find the slope.We know that in slope-intercept form, m=slope. So, look at our given equation and see what number is in the "m" spot from y=mx+b.
According to our equation, -2 is our slope! However, because we're looking for an equation that's perpendicular to our given one, we need to use the negative reciprocal of -2.
Keep in mind that a negative reciprocal is a number turned upside down and then given or taken away a negative. Ex : -4 turns into 1/4.
So the reciprocal of -2 is 1/2. Now that we have our new slope ( 1/2 ), we must use this equation to find our new equation. y-y₁=m(x-x₁)
Using the new slope (1/2) & the points (2, -2), we can find our new equation.
y - (-2) = 1/2(x - (2)
Simplify.
y + 2 = 1/2x - 2/2
Simplify.
y + 2 = 1/2x - 1
~Hope I helped!~
( - 6, 0).(2, 0 ) , vertex = ( - 2, - 16)
to find the x-intercepts set f(x) = 0
x² + 4x - 12 = 0
(x + 6)(x - 2) = 0 ( equate each factor to zero and solve for x )
x + 6 = 0 ⇒ x = - 6
x - 2 = 0 ⇒ x = 2
x- intercepts are ( - 6, 0),(2, 0)
given the quadratic in standard form : y = ax² + bx + c
the x-coordinate of the vertex = - 
here a = 1 , b = 4 and c = - 12
x- coordinate of vertex = - 
= - 2
substitute this value into the equation for y-coordinate
x = - 2 → y = 4 - 8 - 12 = - 16
vertex = ( - 2, - 16)
Answer:
Dracula will be left with 24 candies
Step-by-step explanation:
The given problem is of fractions and percentages.
Given that
Total pieces of candy = 48
Now as it is mentioned that Dracula gives 1/3 of his candies to his friend, wee have to find the one third of the total pieces of candies first.
Dracula will be left with:
Dracula will be left with 32 candies after giving one third to his friend.
Now he gives 25% of remaining to his cousin
So,
Dracula will be left with: 32-8 = 24 candies
Hence,
Dracula will be left with 24 candies
$33.60. 20% of 40 is 8. 40 minus 8 is 32. 5% of 32 is 1.60, with a sum of 33.60, the total for the shirt.
Answer:
77 meters
Step-by-step explanation:
For a right triangle, the formula for side length is
a^2 + b^2 = c^2 where c is the hypotenuse (opposite the right angle)
36^2 + b^2 = 85^2
1296 + b^2 = 7225
b^2 = 5,929
find the square root of both sides:
b = 77
Please let me know if you have questions.
