The answer was
-35 a^4 -12 a^2 + 12
Hope that helps you
Answer:
1.
-9 11/15
2. 11/24
3.
34/45
4. -5.05
5. -0.622
Step-by-step explanation:
1. -2 4/5 - 6 2/15
convert them to a common denominator and an improper fraction:
-2 4/5= 18/5=- 54/15 -6 2/15= 92/ 15
*15 is the other denominator, so you keep the numbers in the second number the same*
subtract: -54/15- 92/15
since you are subtracting a negative number it goes farther away from zero
-146/15 or -9 11/15
2. -5/12 + 7/8
convert them to a common denominator
-5/12=- 20/48 7/8= 35/40
add: -20/48+35/40
11/24
since you are adding a negative number it goes closer to zero or past zero:
3. 3 3/5 x 2/9
convert 3 3/5 to an improper fraction: 18/5
mulitply the two denominators and the two numerators
17/5 x 2/9= 34/45
This is also the simplest form.
4. Convert to a decimal. -5 1/20
keep the -5 beacuse that is a whole number
divide 1/20 to turn it to a decimal to get 0.05
5. Which number is the largest? -0.65, -0.622, -5/8
to find this you would have to convert all numbers to either a decimal or a fraction.
5/8 is 0.625
the one closest to zero is the largest which is -0.622
Answer: 11x-3y = 32
---------------------------------------------------------------
Explanation:
The given points are
A = (-4,-2)
B = (4,4)
C = (18,-8)
First we'll use points A and C to find the slope of line AC
m = (y2-y1)/(x2-x1)
m = (-8-(-2))/(18-(-4))
m = (-8+2)/(18+4)
m = -6/22
m = -3/11
The slope of AC is -3/11
Take the negative reciprocal of this slope
Flip the fraction: -3/11 -----> -11/3
Flip the sign: -11/3 ----> +11/3 = 11/3
The slope of AC is -3/11 while the slope of any line perpendicular to AC is 11/3
Let m = 11/3 and (x,y) = (4,4) which are the coordinates of point B
Plug these values into slope intercept form and then solve for b
y = mx+b
4 = (11/3)*4+b
4 = 44/3+b
4 - 44/3 = 44/3+b-44/3
b = 4 - 44/3
b = 12/3 - 44/3
b = (12 - 44)/3
b = -32/3
Since m = 11/3 and b = -32/3, we go from this
y = mx+b
to this
y = (11/3)x-32/3
Now clear out the fractions and get the x and y variables to one side
y = (11/3)x-32/3
3y = 3*[ (11/3)x-32/3 ]
3y = 11x - 32
3y-11x = 11x-32-11x
-11x+3y = -32
-1*(-11x+3y) = -1*(-32)
11x-3y = 32
The equation of the through B that is perpendicular to AC is 11x-3y = 32 (this equation is in Ax+By = C form which is called standard form)
This is better known as the altitude through B
1st one that I can possibly think behind my brain: 326/1000 or simplified is 163/500
2nd: Three hundred and twenty six thousandths
Hope it helps! Happy Halloween!
