Answer:
8
Step-by-step explanation:
This can be solved using intersecting chord theorem. This tells us that when 2 chords intersect inside a circle, the 4 segment it creates, each individual segments' products are equal.
Thus, we can say that the product of 5 and x is equal to the product of 10 and 4. Thus:
Hence x = 8 is the correct answer
Answer:
Option (B)
Step-by-step explanation:
Given polynomial in the question is,
x³ - 7x² + 13x - 3
One factor of the polynomial is (x - 3).
That means x = 3 is a zero factor of the polynomial.
For the other factor,
By using synthetic division,
3 | 1 -7 13 -3
<u> 3 -12 3 </u>
1 -4 1 0
= (x² - 4x + 1)(x - 3)
Therefore, the other factor of the polynomial is (x² - 4x + 1).
Option (B) will be the answer.
To determine which system of equations would have the same solution, we evaluate each system of equations.
System 1 4x − 5y = 2, 3x − y = 8
x = 38/11
y = 26/11
<span>System 2 4x − 5y = 2, 3x − 2y = 1
x = 1/7
y = -2/7
System 3 4x − 5y = 2, 3x − 8y = 4
x = -4/17
y = -10/17
System 4 4x − 5y = 2, 10x − 9y = 4
x = 1/7
y = -2/7
</span><span>
Therefore, the correct answer is option 3. </span><span>System 2 and system 4 are equal, because the second equation in system 4 is obtained by adding the first equation in system 2 to two times the second equation in system 2.
4x− 5y = 2 2( 3x − 2y = 1)
----------------------- 10x - 9y = 4</span>
Answer:
138.23
Step-by-step explanation:
2πrh+2πr^2=2·π·2·9+2·π·2^2
Answer:
B. 10,000
Step-by-step explanation:
The volume of the jar is the product of its dimensions, so is ...
V = LWH = (7 cm)(7 cm)(6.5 cm) = 318.5 cm³
If we assume there are 10 m&ms in one cm³ (probably, the number is more like 3 or 4), then there could be about 3,200 m&ms in the jar. The nearest reasonable limit of those proposed is ...
10,000 . . . choice B