Answer:
a) not proportional
b) proportional; k = 
Step-by-step explanation:
a) for any proportional equation, the line must pass through the origin. The equation in a) is y = 4x + 1, and the '+1' is the y-intercept. This means that the line does not pass through the origin, so x and y cannot increase by the same amount (i.e. they are not proportional).
Another way to determine this is is to use the y = kx base. If you have an equation that fits that it's likely proportional.
Here, if the equation was only y = 4x then it'd be proportional because u can see that k = 4. This is not the equation though, and the 4x + 1 doesn't fit to the y = kx formula so it can't be proportional.
b) straight away you can see that there's no 'c' term (y = mx + c) which means the y-intercept is 0, so the line passes through the origin. While this does not immediately mean the line is proportional, you can make sure that it is by checking it fits with the y = kx equation.
y = -(3/5)x fits with y = kx, with k being -3/5
Answers:
If an angle is labeled with a single letter, that letter represents the <u> vertex </u> of the angle.
If more than one angle has the same vertex, you must use <u> 3 </u> points to name the angle. The <u> </u><u>middle </u> point named must be the vertex.
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Explanation:
If we have a single triangle, and no other extra lines, then we can use single letters to name the three angles. Each vertex of the triangle corresponds to the vertex of that angle.
If you were to draw many triangles, in which some may or may not overlap, you'll mostly likely need to name the angle using 3 letters. This is so you are very specific about which angle you're talking about. The middle letter is always the vertex. The left and right letters are points on the arms of the angle. The order of the left and right letters doesn't matter as long as the middle letter stays the same. So something like angle ABC is the same as angle CBA.
Answer:
131.95888888888888
Step-by-step explanation:
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Hope this helps you
Answer:
The number of feet she will travel back is 1 or 7 feet
Step-by-step explanation:
Here, we need to solve the quadratic equation
That will be as follows;
0 = x^2 -8x + 7
x^2-x-7x+ 7 = 0
x(x-1)-7(x-1) = 0
(x-1)(x-7) = 0
x = 1 or 7
The number of feet she will travel before coming back to the surface of the water is 1 or 7 feet
