Answer:
c. w = -1
Step-by-step explanation:
you have to add 2 with -3 and you get -1.
Answer:
27.73 cm
1. Find the area of the rectangle: 8x7=56 cm
2. Find the area of the circle: pi x 3 squared= 28.2743338....cm
3. Subtract area of the circle from the area of the rectangle: 56 - 28.27433=27.72567cm
4. Round to the nearest hundredth: 27.73 cm
Answer:
(-11, 1)
Step-by-step explanation:
x-values are horizontal and y-values are vertical
so add -4 to -7 to get -11
add 0 to 1 to get 1
new point is at (-11,1)
Answer:
( t - p ) / 85x = h
( t - 265.95 ) / 85x = h
648.45 - 265.95 / 85x = 3.32h
h = 3.32
Therefore ( t - p ) / 85x = 3.32
Step-by-step explanation:
648.45 - 265.95
282.50 /85
= 3.32 hrs
Finding equation to find hours can be shown as
( t - p ) / 85x = 3.32
How we found equation to find total
Parts = 19 x 14 - 5/100 = 266- 0.05
648.45 - 265.95 = 282.5
282.5/85 = 3.323 near to 3,233529
Labour = 85x = 17 (5 + x)
Equation = 17(5+ x) + 14(19) - 5/100 = 648.45 where x = 85
Equation = ( 85x x 3 1/3) + 265 - 19/20 = t
2x2-5x-18=0
Two solutions were found :
x = -2
x = 9/2 = 4.500
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(2x2 - 5x) - 18 = 0
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 2x2-5x-18
The first term is, 2x2 its coefficient is 2 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -18
Step-1 : Multiply the coefficient of the first term by the constant 2 • -18 = -36
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -5 .
-36 + 1 = -35
-18 + 2 = -16
-12 + 3 = -9
-9 + 4 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 4
2x2 - 9x + 4x - 18
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x-9)
Add up the last 2 terms, pulling out common factors :
2 • (2x-9)
Step-5 : Add up the four terms of step 4 :
(x+2) • (2x-9)
Which is the desired factorization
Equation at the end of step 2 :
(2x - 9) • (x + 2) = 0
Step 3 :
Theory - Roots of a product :
3.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
