We are asked in this problem to determine the expression of an exponential function given the data above. The standard form of an exponential function is expressed as y = a^x + b was a is the base constant and b is another constant. In this case, a is given to be equal to 1/2. since the graph is said to be shrunk down to 3/4 then the initial expression would have to be y = 3/4*(1/2)^x + b. b is determined through the given asymptote in the problem. An asymptote is an axis or the line in which the graph approaches but never touches. b is equal to -4. In this case, the overall expression is y = 3/4 *(1/2)^x - 4.
If we know that line 
is equal to line 
, then this means that ∠
has to be equal to ∠
in order to form a closed triangle. All angle measures of a triangle add up to 
°, so use the equation: 
.
70 + x = 180
Subtract 70 from both sides to isolate x:
180 - 70 = 110
110 = x
Hope this helped.
Answer:
0.6 as a decimal or 3/5 as a fraction
Step-by-step explanation:
Answer:
<em>x = 62°, y = 103°</em>
Step-by-step explanation:
<u>Supplementary Angles</u>
Two angles are called <em>supplementary</em> when their measures add up to 180 degrees.
The image shows two pairs of supplementary angles. We have to find the value of the unknown variable.
The first drawing shows supplementary angles x and 118°. They must satisfy the equation:
x + 118° = 180°
Subtracting 118°:
x = 180° - 118°
x = 62°
From the second drawing, we set up the equation:
y + 77° = 180°
Subtracting 77°:
y = 180° - 77°
y = 103°
Answer:
x=48
Step-by-step explanation:
48/4=12
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