Step-by-step explanation:
4^m * 4^2 = 12
4^(m + 2) = 4^(log4 12)
m + 2 = log4 (12)
m = log4 (12) - 2.
Usando un sistema de ecuaciones, se encuentra que ese número es n = -3 o n = 3.
<h3>¿Qué es un sistema de ecuaciones?</h3>
Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.
En este problema, la variable es el número n.
El quintuple de un número cuadrado disminuido en 9 da como resultado 36, o sea, la ecuación es:
5n² - 9 = 36
5n² = 45
n² = 9
n = -3 o n = 3.
Puede-se aprendes mas a cerca de sistema de ecuaciones en brainly.com/question/27305333
Answer:
C. y=1/2x+2
Step-by-step explanation:
1. Find the slope using the slope formula.
Slope formula: y2-y1/x2-x1
Let the y-value in the second ordered pair (4,4) be y2, and the 3 in the first ordered pair (2,3) be y1. 4 and 2 from these ordered pairs will be x2 and x1.
Plug these values into the equation and simplify.
4-3/4-2
=1/2
Slope is 1/2
2. Choose one of the ordered pairs and plug those numbers and the slope into the point-slope formula.
Point slope formula: y-y1=m(x-x1). M represents the slope, and the x1 and y1 represent the values of the ordered pair.
Let's use the pair (4,4).
y-4=1/2(x-4)
3. Simplify the equation to convert to y=mx+b format.
Multiply the inside of the parentheses by 1/2.
y-4=1/2x-2
Add 4 to both sides.
y=1/2x+2
3. C is your answer, for it matches what you found in the calculations.
Answer: d. s ≥ 23
Step-by-step explanation:
Let s be the side of the square.
We know that the perimeter of a square =4s
Let f(s)=4s
If the cardboard should have a perimeter equal to at least 92 inches, the inequality would look like
Divide both sides by 4, we get
Thus, d. is the right answer. The reasonable domain of f(s) is 
The value of x is 103.
The value of x is 59.
The value of x is 134.
The value of x is 12
The value of x is 50
The value of x is 135
<h3>
What is the value of x?</h3>
The sum of angles on a straight line add up to 180 degrees.
180 - 77 = 103
180 - 121 = 59
180 - 46 = 134
12 x + 36 = 180
12x = 180 - 36
12x = 144
x = 12
24 + 3x + 6 = 180
3x = 180 - 24 - 6
3x = 150
x - 50
+ 99 + 36 = 180
= 180 - 36 - 99
= 45
x = 45 x 3
x = 135
To learn more about supplement angles, please check: brainly.com/question/2766460
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