Answer:
Option (B)
Step-by-step explanation:
x² + x - 1) x³ + 6x² + 0x + 5 ( x + 5
- (<u>x³ + x² - x</u>)
5x² + x + 5
-(<u>5x² + 5x - 5)</u>
-4x + 10
Result : 
By the comparing the result with the Lorie's solution,
She made a mistake in the last step in which she combined the constant incorrectly.
Therefore, Option (B) will be the answer.
Answer:
B) 28.53 unit²
Step-by-step explanation:
The diagonal AD divides the quadrilateral in two triangles:
- Triangle ABD
- Triangle ACD
Area of Quadrilateral will be equal to the sum of Areas of both triangles.
i.e.
Area of ABCD = Area of ABD + Area of ACD
Area of Triangle ABD:
Area of a triangle is given as:

Base = AB = 2.89
Height = AD = 8.6
Using these values, we get:

Thus, Area of Triangle ABD is 12.43 square units
Area of Triangle ACD:
Base = AC = 4.3
Height = CD = 7.58
Using the values in formula of area, we get:

Thus, Area of Triangle ACD is 16.30 square units
Area of Quadrilateral ABCD:
The Area of the quadrilateral will be = 12.43 + 16.30 = 28.73 units²
None of the option gives the exact answer, however, option B gives the closest most answer. So I'll go with option B) 28.53 unit²
Answer: 1232
Step-by-step explanation: ( 8x10 -3) x(2x10 -4)
( 8x10 -3) = 77
(2x10 -4) = 16
77 x 16 = 1232
Answer = 1232
Complete question:
Which equation accurately represents this statement? Check all that apply.
Negative 3 less than 4.9 times a number, x, is the same as 12.8
A: -3-4.9x=12.8
B: 4.9x-(-3)=12.8
C: 3+4.9x=12.8
D: (4.9-3)x=12.8
E: 12.8=4.9x+3
Answer:
B: 4.9x-(-3)=12.8
C: 3+4.9x=12.8
E: 12.8=4.9x+3
Step-by-step explanation:
The word equation can be expressed mathematically as follows
negative 3 → -3
less than 4.9 times a number , x → 4.9 x - (-3)
is same as 12.8 → 4.9 x - (-3) = 12.8
The equation can be expressed as
4.9 x - (-3) = 12.8
when you open the bracket, you multiply -3 time - 1 . MInus times minus is equals to plus. so you get
4.9 x + 3 = 12.8
12.8 = 4.9x+3