Answer:
<h3>
y = -0.1x - 3.4</h3>
Step-by-step explanation:
The point-slope form of equation of a line is:
y - y₀ = m(x - x₀)
where <em>(x₀, y₀)</em> is the point which the line passes through and <em>m</em> is the slope of the line
The product of slopes of two perpendicular lines is -1
so if given lines slope is 10 them:
10·m = -1
m = -0.1
(6, -4) ⇒ x₀ = 6, y₀ = -4
Therefore:
y - (-4) = -0.1(x - 6)
y = -0.1x + 0.6 + (-4)
<u> </u><u>y = -0.1x - 3.4 </u>
Step-by-step explanation:
x in (-oo:+oo)
1/7-(3*((3/7)*x-(2/7))) = 0
1/7-3*((3/7)*x-2/7) = 0
1/7-3*(3/7*x-2/7) = 0
(-3*7*(3/7*x-2/7))/7+1/7 = 0
1-3*7*(3/7*x-2/7) = 0
7-9*x = 0
(7-9*x)/7 = 0
(7-9*x)/7 = 0 // * 7
7-9*x = 0
7-9*x = 0 // - 7
-9*x = -7 // : -9
x = -7/(-9)
x = 7/9
x = 7/9
Answer:
The length of the radius of the sphere is 11.0 units
Step-by-step explanation:
we know that
To calculate the radius of the sphere, we can use the distance formula
where
d is the length of the radius
(x_1,y_1,z_1) is the center of the sphere
and
(x_2,y_2,z_2) is one point on the surface of the sphere
we have
substitute in the formula
therefore
The length of the radius of the sphere is 11.0 units
The answer to this is 2.
There are a number of proofs to this. Here, we use Euclidean geometry with trigonometry. If we let the center of the circle to be O.
Then, we have the following equations for the angles
CEO = OED = 90
Since, CO = OD because they're radii of the circle, then
ΔCOD is an isosceles triangle and
OCE = ODE
CE + DE = CD
dividing the whole equation by DE
CE/DE + 1 = CD/DE
Using trigonometric functions:
CE = OC cos OCE and
DE = OD cos ODE
Substituting.
OC cos OCE / OD cos ODE + 1 = CD/DE
Since, OCE = ODE,
cos OCE = cos ODE
The equation would be reduced to:
1 + 1 = CD/DE
CD/DE =2
Answer:
B
Step-by-step explanation:
=3+(-7)
=3-7
As 3 is a positive number(+), it is referred as it gained yards. 7 is referred as lost yards because it's a negative number(-).
Hope this will help ya!