Answer:
y-intercept: (0, 5); slope: 1/4
Step-by-step explanation:
The slope (m) is found from ...
m = (y2 -y1)/(x2 -x1)
Using the first two points in the table, this is ...
m = (8 -6)/(12 -4) = 2/8 = 1/4 . . . . . eliminates choices A and C
__
Then, the point-slope form of the equation of the line can be written as ...
y -y1 = m(x -x1)
y -6 = (1/4)(x -4) . . . fill in known values
y = 1/4x -1 +6 . . . . . add 6
y = 1/4x +5
Then the value of y when x=0 is ...
y = 0 +5 = 5
So, the y-intercept is (0, 5) and the slope is 1/4, matching the last choice.
Answer:
The distance between the hands is √(3)cm ≈ 1.73cm.
Step-by-step explanation:
In a standard clock, the angle between every number is 30°, therefore the angle between 12 and 2 will be 30° x 2 = 60°.
Looking at the diagram, to find c we can make use of our cosine formula
c² = a² + b² –2abCos(C°)
a = 2, b = 1 and C° = 60°
Therefore we have:
c² = 2² + 1² –2 x 2 x 1 x cos(60°) =
c² = 4 + 1 – 4 x 0.5 =
c² = 5 – 2 =
c² = 3
c = √(3) ≈ 1.73
Therefore, the distance between the hands is √(3)cm ≈ 1.73cm.

The y intercept is (0, -7)
<em><u>Solution:</u></em>
<em><u>Given equation is:</u></em>
y - 3 = 5(x - 2)
<em><u>Find the x intercept</u></em>
Substitute y = 0 in given equation

<em><u>Find the y intercept:</u></em>
Substitute x = 0 in given equation

Thus the y intercept is (0, -7)
Step-by-step explanation:
PEMDAS
parentheses, exponents, multiplication, division, addition, subtraction.
first multiply:
2×3=6
6+4-5
Now add
6+4=10
Now subtract
10-5=5
5 is the answer
<em><u>I</u></em><em><u> </u></em><em><u>hope</u></em><em><u> </u></em><em><u>this</u></em><em><u> </u></em><em><u>helped</u></em><em><u>!</u></em><em><u> </u></em><em><u>:</u></em><em><u>)</u></em>
Answer:
20 m
Step-by-step explanation:
Let the length of the perpendicular dropped from vertex C to segment AB be x
By geometric mean property:
