Answer:
1) x=0.465
2) option A.
Step-by-step explanation:
1) The given equation is:
We rewrite this as logarithm to get:
The change of base formula is:
We apply the change of base formula on the RHS to get:
Group similar terms:
2)
From the graph, the logarithmic function approaches negative infinity as x approaches -6.
Therefore the vertical asymptote is x=-6
The graph touches the x-axis at x=-5, therefore the x-intercept is x=-5.
The correct answer is A.
Answer:
Step-by-step explanation:
Given:
An isosceles triangle ABC with AB = AC.
∠A = 
∠B = 
∠C = 
We know that, for an isosceles triangle, the angles opposite equal sides are also equal to each other.
Therefore, ∠B = ∠C
⇒ 
⇒ 
∴ ∠C = 
°
Now, the sum of all the interior angles of a triangle is always 180°.
Therefore, the value of 'y' is 5.
<span>If that line is parallel to one of the sides, then the statement is true.</span>
<span>So the question is how tall would a person be in three cases, 54 inches, 58 inches and 59 inches. Since the height measure are feet and inches and one feet has 12 inches, this is the first case: 54 inches = 4*12 inches + 6 inches = 4 feet and 6 inches = 4'6''. Second case: 58 inches= 4*12 + 10 inches= 4 feet and 10 inches = 4'10'' and third case: 59 inches= 4*12 inches + 11 inches= 4 feet and 11 inches = 4'11''. </span>
Answer:
The number is 4
Step-by-step explanation:
<u>Choose a variable for the number.</u>
let the number be "x"
<u>Make an equation</u> with the information from the problem. Break down each part of the problem and change it to the algebraic form (numbers and symbols).
"When 8 is added to" 8 +
"3 times a certain number" 3x
"the result is the same as" =
"adding 12 to" 12 +
"twice the number" 2x
Put the equation back together with each of the parts.
8 + 3x = 12 + 2x
<u>Now isolate "x"</u> to the left side to find the number.
8 + 3x - 2x = 12 + 2x - 2x Subtract 2x from both sides
8 + x = 12 "x" is only on the left side
8 - 8 + x = 12 - 8 Subtract 8 from both sides
x = 4 Solved for the number
Therefore the number is 4.
