Answer:
x = 3
y = 10
Step-by-step explanation:
In triangle KLN, measure of all angles are equal.
Therefore, it is an equilateral triangle.
All sides of an equilateral triangle are equal.
So,
y - 4 = 6
y = 6 + 4
y = 10
In triangle LMN, measures of angles M and N are equal, Therefore,
LM = LN
x + 3 = y - 4
x + 3 = 10 - 4
x + 3 = 6
x = 6 - 3
x = 3
Answer:
See explanation!
Step-by-step explanation:
<u>We are given a graph that shows the</u><u> value (in dollars) </u><u>of a car stereo at </u><u>time t (in years)</u><u> the time t=0 represents when the stereo was purchased.</u>
<u>A. What does the y-intercept mean in terms of the problem? Include the time and the value of the stereo in your answer.</u>
The graph given shows an exponential expression with a y-interept at
dollars.<em> </em>
<em>This denotes that the initial value of a car stereo at year 0 (i.e. when it first entered the market) was at 300 dollars. </em>
<em />
<u>B. What does V(5)=98 mean in terms of the problem?</u>
Looking at the graph for , we know that we are looking at a point equal to .
This denotes that at year , the car stereo value was dollars. Thus since the stereo entered the market the value of the car stereo has decreased by over ≈ 202 dollars.
<u>C. Is the graph increasing or decreasing? What does this mean in terms of the problem? </u>
The graph is Exponentially Decreasing suggesting that as the year increase, the value of the car stereo is quickly decreasing by larger amounts and not in a linear manner (i.e. the value does not decrease by the same amount every year).
Answer:
colder and warmer
Step-by-step explanation:
-13 is colder and -9 is warmer than -12
Answer:
(-1/2, 3/4)
Step-by-step explanation:
Let's use the elimination by adding or subtracting method. Note that we have 8y in the first equation, and that we could obtain -8y in the second equation by multiplying the second equation by 2:
2(24x - 4y = -15) => 48x - 8y = -30
Now combine this result (this equation) with the first equation:
2x + 8y = 5
+48x -8y = -30
---------------------
50x = - 25
Dividing both sides by 50, to isolate x, we get
x = -25/50 = -1/2.
Now substitute -1/2 for x in the first equation and solve the resulting equation for y:
2x + 8y = 5
2(-1/2) + 8y = 5, or -1 + 8y = 5, or 8y = 6 (after having added 1 to both sides)
Dividing both sides of 8y = 6 by 8 leads to determining the value of y:
y = 6/8 = 3/4
The solution is (-1/2, 3/4).