Answer:
The answer to your question is the letter b) y = -3x + 11
Step-by-step explanation:
Data
Original line y = 1/3x - 2
Point = (3, 2)
New line = ? (perpendicular)
Process
1.- Get the slope of the original line
The slope is the coefficient of the x in the line equation.
y = 1/3x - 2
slope = m = 1/3
2.- Find the slope of the new line
new slope = -3 (because the lines are perpendicular)
3.- Find the equation of the new line
y - y1 = m(x - x1)
x1 = 3 y1 = 2
-Substitution
y - 2 = -3(x - 3)
-Simplification
y - 2 = -3x + 9
y = -3x + 9 + 2
-Result
y = -3x + 11
Hope this is the right one.
Problem 8p^2 - 30p + c
<em>Step One</em>
Take 1/2 of - 30
1/2 * -30 = - 15
<em>Step 2
</em>Square -15
(-15)^2 = 225
c = 225
Problem Nine
a = 1
b = 4
c = -15


x = [-4 +/- sqrt(76)] / 2
x = [-4 +/- 2*sqrt19]/2
x = [-4/2 +/- 2/2 sqrt[19]
x = - 2 +/- sqrt(19)
x1 = - 2 + sqrt(19)
x2 = -2 - sqrt(19)
These two can be broken down more by finding the square root. I will leave them the way they are. It's just a calculator question if you want it to go into decimal form.
Problem Tena = 1
b = 4
c = -32
The discriminate is sqrt(b^2 - 4ac)
D = sqrt(b^2 - 4ac)
D = sqrt(4^2 - 4(1)(-32)
D = sqrt(16 - - 128)
D = sqrt(16 + 128)
D = sqrt(144)
D = +/- 12
Since D can equal + or minus 12 there must be 2 possible (and different) roots. As a matter of fact, this quadratic can be factored.
(x + 8)(x - 4) = y
But that' s not what you were asked for.
The discriminate is > 0 so the roots are going to be real.
<em>
Answer; The discriminate is > 0 so there will be 2 real different roots.</em>
Answer:
74.5%
Step-by-step explanation:
The total number of people sampled is 1000 people.
There are 745 people who where corrective lenses.
Percent is (part)/(whole); in this case, the part is 745 and the whole is 1000, so:
745/1000 = 74.5%
Thus, the answer is 74.5%.
Hope this helps!
13 x 6 = 78 you cant multiply anymore so that's how many times it can go in 80.
"The product" means you're multiplying the two numbers.
"a number" refers to a variable.
"increased" means you're adding.
2x + 7 = -36