The simplification of the expression is 28. The mistake in your calculation occurred in step 3.
<h3>What is the process involved in simplifying expression involving brackets?</h3>
TO simplify expressions involving brackets, we use a common method called BODMAS (Brackets, Of, Division, Multiplication, Addition, and Subtraction).
This means that we will first solve the expression in brackets first, followed by division, multiplication, addition, and subtraction as the case may be.
Now, from the given information, we have:
= 22+6[(14-5)÷3(17-14)]
solving parameters in the bracket first, we have:
= 22 + 6[(9) ÷3(3)]
= 22 + 6[(9) ÷9]
- The above step is where you missed it from your calculation, you must first open all brackets within brackets before solving them.
= 22 + 6[(9) ÷9]
= 22 + 6[ 1]
= 22 + 6
= 28
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Answer:
1. the vertex form of your function is f(x)= (x+-2)^2+-7
The vertex is at (2,-7)
2. So, the vertex form of your function is f(x)= (x+-7/2)^2 -41/4
The vertex is at (7/2, -41/4)
Step-by-step explanation:
Answer:2516 pounds
Step-by-step explanation:
find the difference in gallons and the difference in the weights
46 - 14 = 32 gallons
2399 - 2191 = 208 pounds
so 32 gallons of gas weighs 208 pounds
find weight per pound: 208 pounds / 32 gallons = 6.5 pounds per gallon
round to 6.5 pounds per gallon
64 gallons - 46 gallons = 18 gallons
18 gallons x 6.5 pounds per gallon = 117 pounds
2399 + 117 = 2516 weight of plane with 64 gallons
Answer:
Question 1:
The angles are presented here using Autocad desktop application
The two column proof is given as follows;
Statement 
Reason
S1. Line m is parallel to line n R1. Given
S2. ∠1 ≅ ∠2 R2. Vertically opposite angles
S3. m∠1 ≅ m∠2 R3. Definition of congruency
S4. ∠2 and ∠3 form a linear pear R4. Definition of a linear pair
S5. ∠2 is supplementary to ∠3 R5. Linear pair angles are supplementary
S6. m∠2 + m∠3 = 180° Definition of supplementary angles
S7. m∠1 + m∠3 = 180° Substitution Property of Equality
S8. ∠1 is supplementary to ∠3 Definition of supplementary angles
Question 2:
(a) The property of a square that is also a property of a rectangle is that all the interior angles of both a square and a rectangle equal
(b) The property of a square that is not necessarily a property of all rectangles is that the sides of a square are all equal, while only the length of the opposite sides of a rectangle are equal
(c) The property of a rhombi that is also a property of a square is that all the sides of a rhombi are equal
(d) A property of a rhombi that is not necessarily a property of all parallelogram is that the diagonals of a rhombi are perpendicular
(e) A property that applies to all parallelogram is that the opposite sides of all parallelogram are equal
Step-by-step explanation:
Answer:
3 over5 multiplied by 320 equals 192
