How do I make these points (3,-5)(-5,3) into a point slope form equation that contains the given points

Answers

Answer 1

Answer: $General\ equation\ for\ line\ in\ slope\ intercept\ form:\n\ny=ax+b\n\nTo\ find\ a\ and\ b\ substitude\ points\ (3,-5),\ (-5,3)\ into\ equation\n\n \left \{ {{-5=3a+b}\ \ \ \ \atop {3=-5a+b\ |*-1}} \right.\n\n \left \{ {{-5=3a+b} \atop {-3=5a-b}} \right. \n+----\n\n-8=8a\ \ \ |:8\na=-1\n\n-5=3\cdot(-1)+b\n-5=-3+b\n-5+3=b\nb=-2\n\ny=-x-2$

Answer 2

Answer: Steps:
1. First you have to find the slope
3+5= 8 -5-3=-8 Your slope is -1
2. You plug in one of the points into the point slope form
Y1-Y2=m(x-x1)
Y-3=-1(x+5)
Y-3=-1x+-5
3. Then, you add three to each side
Y=-1x+ (-2)

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How much is 400.00 invested at 9% interest compounded continuously be worth after 3 years

Answers

COMPOUNDED
not simple interest,
compound interest is neat since you earn interest on the interest you earned

ok so what you use is F=Pe^(rt)
F=future or ending amount
P=present amount
e=base of the natural log (some digits are 2.71828182845)
r=rate in decimal
t=time in years

presen amount is 400
rate is 9% or 0.09
time is 3 years

F=400e^(0.09*3)
F=400e^(0.27)
F=523.986
round
F=523.99

Order the integers from least to greatest 5, -1,3,2,-3

Answers

-1 , -3 , 2, 3, 5 would be your outcome

(The negatives are below "0" so thats why they are the 'least'..and the ones with positive outcomes is above "zero" so that's why they are in labeled as the "Greatest" in this problem)

((All negatives is below "0" and most positives is above "0" ))

What is the difference when 5x2 − 3x + 2 is subtracted from 4x2 − 7x + 9?

Answers

Answer:

5-4x

Step-by-step explanation:

so when 10 - 3x + 2 is subtracted from 8 - 7x + 9

an important thing here is to remember the brackets as you minus something,

17 - 7x - ( 12 - 3x)

which gives 17 - 7x -12 + 3x

which then the difference yields .... 5 - 4x

If you give me 70 coins I will have three times as much money as you, but if I give you 70 coins, then you will have five times as much as me. How many coins do we each have?

Answers

Answer:

I have 110 coins, you have 130 coins

Step-by-step explanation:

I have x coins and you have y coins.

According to question we set the following equations.

If you give me 70 coins I will have three times as much money as you:

x + 70 = 3(y - 70) ⇒ x + 70 = 3y - 210 ⇒ x = 3y - 280

If I give you 70 coins, then you will have five times as much as me:

y + 70 = 5(x - 70) ⇒ y + 70 = 5x - 350 ⇒ y = 5x - 420

Solve by substitution:

y = 5(3y - 280) - 420
y = 15y - 1400 - 420
15y - y = 1820
14y = 1820
y = 1820/14
y = 130

Find the value of x:

x = 3*130 - 280
x = 390 - 280
x = 110

Can anyone answer question 15 and 16

Answers

15) (6x²y³)(3xy²z⁵) = 18x³y⁵z⁵

16) area of square with side lengths (x-3) units

area of a square = a²
A = (x-3)²
A = (x-3)(x-3)
A = x(x-3) -3(x-3)
A = x² - 3x -3x + 9
A = x² - 6x + 9

Area of a rectangle with a length of x units and a width of (x-5)units

Area of a rectangle = length * width
A = x * (x-5)
A = x(x-5)
A = x² - 5x

Value of x for Area of square and Area of rectangle to be equal.

Area of square = Area of rectangle
x² - 6x + 9 = x² - 5x
x² - x² - 6x + 5x = -9
-x = -9
x = -9/-1
x = 9

x² - 6x + 9 = x² - 5x
9² - 6(9) + 9 = 9² - 5(9)
81 - 54 + 9 = 81 - 45
90 - 54 = 36
36 = 36

Steve saw 313 birds during a bird-watching trip to Yellowstone National park. he observes 15 more trumpeter swans than sandhill cranes. he saw twice as many mountain chickadees as ducky grouses. how many birds of each type did steve observe if he saw half as many trumpeter swans as ducky grousesNEED ASAP!

Answers

Answer:

Step-by-step explanation:

328

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