(a) Using the completing the square method, we need to write into the form of where , so
Expand to find the value of c
Notice that we get back the first two terms, the and the .We need to get rid of the last term of '9' as the term was not in the original form. The final form will look like
Hence,
(b)
(c) , square root both sides plus and minus of 2 Hence
Answer:
a = 7
b = 7
c = 14 [Correct option is B. 14]
Step-by-step explanation:
Since the shape is a parallelogram, to solve this problem, use some of the properties of a parallelogram:
(i) Opposite sides are parallel and congruent. Being congruent means the sides are identical. In other words, they have the same length.
From the diagram, this means that sides PQ and SR are identical. i.e
=> PQ = SR
=> 6a + 10 = 8a - 4 [collect like terms and solve]
=> 14 = 2a
=> a = 7
(ii) Opposite angles are congruent. Angles PQR and PSR are identical. i.e
<PQR = <PSR = (9b + 2)°
Also,
<SPQ = <SRQ = (18b - 11)°
(iii) Consecutive angles are supplementary. The sum of any two angles that are not opposite to each other is 180°. i.e.
<SPQ + <PQR = 180°
<PQR + <QRS = 180°
<QRS + <RSP = 180°
.
.
.
Also,
<PSR + <SPQ = 180°
(9b + 2)° + (18b - 11)° = 180° [expand bracket and solve for b]
9b + 2 + 18b - 11 = 180
27b - 9 = 180
27b = 189
b = 7
Now, since a = 7 and b = 7;
c = a + b = 7 + 7 = 14
Therefore;
a = 7
b = 7
c = 14
Answer:
68.544
Step-by-step explanation:
64x(1+0.088)=68.544
Answer:
Step-by-step explanation:
Unless we set x^2 + 8x + 15 equal to zero, we don't have an equation to be solved. I will assume that the problem is actually x^2 + 8x + 15 = 0.
The coefficients of this quadratic are {1, 8, 15}, and so the "discriminant" b^2 - 4ac is (8)^2 - 4(1)(15), or 4. Because the discriminant is positive, we know that there are two real, unequal roots.
Continuing with the quadratic formula and knowing that the discriminant is 4, we get:
-8 ± √4 -8 ± 2
x = ---------------- = --------------- , or x = -2 ± 1: x = -3 and x = -5
2 2
Answer:
The cost for 17 ft length with diameter 5 in is $408.
Step-by-step explanation:
Consider the provided information.
It is given that the cost of stainless steel tubing varies jointly as the length and the diameter of the tubing. If a 5 foot length with a diameter 2 inches costs $48.00.
let 
For 17 ft length with diameter 5in the cost will be:
Substitute the respective values in the above formula.
Cost = $408
Hence, the cost for 17 ft length with diameter 5in is $408.
