<u>Answer:</u>
y=-1/4x-1
<u>How to find the </u><u>slope</u>
To find the slope of the line you need to do the change in y/change in x. This is also known as the rise/run. To do this you count the spaces in between the two points.
In this graph the change in y (rise) is 2. The change in x (run) is 8. Since the line is going down they are negative. The rise/run is -2/8. This can be simplified to -1/4.
Slope: -1/4x
<u>How to find the y-intercept</u>
To find the y-intercept, you need to look at where the line crosses y.
In this graph the line crosses y at -1.
Y-intercept: -1
<u>Final</u><u> </u><u>equation</u><u>:</u><u> </u><u>-</u><u>1</u><u>/</u><u>4x-1</u>
Answer:
Step-by-step explanation:
step 1
In the right triangle ABC
Applying the Pythagoras Theorem fin the hypotenuse AC
substitute
step 2
we know that
If two figures are similar, then the ratio of its corresponding sides is equal
so
substitute and solve for CE
step 3
Find the length of segment AE
AE=AC+CE
substitute the values
Rational Number are set of numbers that can be written as a/b where a and b are integers, but b is not equal to 0; an integer or a fraction; for example: 6 can be expressed as 6/1 and 0.5 can be expressed as 1/2.
Answer:
z = 110°
Step-by-step explanation:
Angles z and the one marked 70° form an linear pair, hence are supplementary.
z = 180° -70° = 110°
<h3>Angles where chords cross</h3>
The angle made by two chords is half the sum of the arcs intercepted by those chords. Here, that means ...
70° = 1/2(60° +x) ⇒ x = 140° -60° = 80°
The arc w completes the circle of 360°, so we have ...
w +x +79° +60° = 360° ⇒ w = 360° -219° = 141°
Finally, z is the average of w and 79°:
z = (w +79°)/2 = (141° +79°)/2 = 110° . . . as above
Answer:
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