Answer:
A
Step-by-step explanation:
Recall that for a quadratic equation of the form:
The number of solutions it has can be determined using its discriminant:
Where:
- If the discriminant is positive, we have two real solutions.
- If the discriminant is negative, we have no real solutions.
- And if the discriminant is zero, we have exactly one solution.
We have the equation:
Thus, <em>a</em> = 2, <em>b</em> = 5, and <em>c</em> = -<em>k</em>.
In order for the equation to have exactly one distinct solution, the discriminant must equal zero. Hence:
Substitute:
Solve for <em>k</em>. Simplify:
Solve:
Thus, our answer is indeed A.
Answer:
C. 13
Step-by-step explanation:
from on online source, the question should be placed as thus:
Of the following integers, which is the closest approximation to (√2 + √5)^2 ?
A. 7
B. 10
C. 13
D. 15
E. 17
This is known as Algebraic expression. So we have to expand to simplify further
using this identity th (a+b)^2 = a^2 + b^2 +2ab
(√2 + √5)^2 =
(√2 + √5)(√2 + √5)
................Expansion of the above
2 + 5 + 2√10
~ 2 +5 + 2(3)
C. 13
Answer
∴ The true statement is Answer:
The true statement is BD ≅ CE ⇒ 3rd answer
Step-by-step explanation:
- There is a line contained points B , C , D , E
- All points are equal distance from each other
- That means the distance of BC equal the distance of CD and equal
the distance of DE
∴ BC = CD = DE
- That means the line id divided into 3 equal parts, each part is one
third the line
∴ BC = 1/3 BE
∴ CD = 1/3 BE
∴ DE = 1/3 BE
∵ BC = CD
∴ C is the mid-point of BD
∴ BC = 1/2 BD
∵ CD = DE
∴ D is the mid-point of DE
∴ CD = 1/2 CE
- Lets check the answers
* BD = one half BC is not true because BC = one half BD
* BC = one half BE is not true because BC = one third BE
* BD ≅ CE is true because
BD = BC + CD
CE = CD + DE
BC ≅ DE and CD is common
then BD ≅ CE
* BC ≅ BD is not true because BC is one half BD
∴ The true statement is BD ≅ CE
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Answer:
85,000; 84,600; 84,550
Step-by-step explanation:
84,552 is closer to 85,000
84,552 is closer to 84,600
84,552 is closer to 84,550
Answer:
7 is the answer
Step-by-step explanation:
2x7=14
