Answer:
The number is 8.
Step-by-step explanation:
If the positive number is x then:
x^2 = 5x + 24
x^2 - 5x - 24 = 0
(x - 8)(x + 3) = 0
x =8, -3 .
x is positive so the answer is 8.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the number line is not attached.
<em>However, the following will guide you through</em>
Given

Required
Determine BC
First, we need to get the fraction of BC using the following

Substitute
for AB

Make BC the subject of formula

Take LCM



This implies that you multiply the length of AC by 2/3 to get BC
<em>Take for instance, AC = 24</em>
<em>BC will be:</em>
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<em>Or if AC = 12</em>
<em>BC will be:</em>
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<em />
<em />
<em />
<em />
<em />
<em />
<em>Or if AC = 36</em>
<em>BC will be:</em>
<em />
<em />
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<em />
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Answer:
v = 55
Step-by-step explanation:
Plug in the values provided into the equation
v = u + at
v = 23 + 8 * 4
Solve
v = 23 + 8 * 4
v = 23 + 32
<u>v = 55</u>
the equation for a line is y = m x + b
using the first set of coordinates (0,2)
2 = m * 0 + b
b = 2
using the second set of coordinates (4,6)
6 = 4 m + 2
4 m = 4
m = 4 / 4
m = 1
use those numbers into the line equation
y = x +2
Answer is C
Congruence method: AAA, ASA, SSS,SAS,HL(For right triangle).
For coordinates proof, if you are proficient with vector, then it will be easier to calculate the angles, otherwise, you should know the distance formula and calculate the length of the vertices.