Answer:
0.7
Step-by-step explanation:
Domain 0≤x≤12 this means the domain (x values) are between x=0 and x=12 and you started measuring the degree of temperature starting at a time of 0 and stopped measuring the temperature at a time of 12 hours
Range -4≤y≤4 this means the range (y values) are between y=-4 and y=4. The range is referring to the degree in celcius based on what time you measured it
Hope this helps!
Add 1/4a to both sides
-4= 8/4a-3
Simplify
-4=2a-3
Add 3 to both sides
-1=2a
Divide both sides by 2
-1/2=a
Final answer: a=-1/2
The x-intercept is what 'x' is when 'y' is equal to 0. So plug in 0 for 'y' and solve for 'x':


Simplify:

Divide 4 to both sides:

So the x-intercept is (4, 0).
The y-intercept is what 'y' is when 'x' is equal to 0. So plug in 0 for 'x' and solve for 'y':


Simplify:

Divide 2 to both sides:

So the y-intercept is (0, 8).
Answer:
8/17
Step-by-step explanation:
The correct and complete question is:
<em>Use △XYZ, in which ∠X is a right angle and tanY=8/15. What is the ratio for sinY?</em>
From definition:
tan(Y) = opposite/adjacent
From the graph and the question:
tan(Y) = XZ/XY = 8/15
Then:
XZ = 8 and XY = 15. Using pytaghorean theorem:
XZ² + XY² = YZ²
8² + 15² = YZ²
√289 = YZ
17 = YZ
From definition:
sin(Y) = opposite/hypotenuse
From the graph:
sin(Y) = XZ/YZ
sin(Y)= 8/17