6r 3r
J_______K_______L
--------------27------------
JK + KL = JL
6r + 3r = 27
9r = 27
r = 27/9
r = 3 <=====
Answer:
The perpendicular line would be y = -2x - 4
Step-by-step explanation:
First we must solve the original equation for y.
x - 2y = 7
-2y = -x + 7
y = 1/2x - 7/2
In order to find the equation of this line, we first have to note that perpendicular lines have opposite and reciprocal slopes. Therefore, since the original line has a slope of 1/2, we know the new line will have a slope of -2. Now we can use that information along with the given point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 2 = -2(x + 3)
y - 2 = -2x - 6
y = -2x - 4
Point A is the midpoint of CT which means the ratio of CA:CT would be 1:2.
To find CT, you need to find the distance of CA then applies 2 times of the distance to the point C
Xca= Xa-Xc= 1- (-2)= 3
Yca= Ya- Yc= -3 -5= -8
Xt= Xc + 2* Xca= -2 + 2*3= 4
Yt= Yc + 2* Yca= 5 + 2*-8= -11
T(Xt, Yt)= T(4, -11)
The coordinate for point T would be (4, -11)
Answer: y is the dependent variable
Step-by-step explanation:
In mathematics, a function is a rule for taking an input and providing an output.
A symbol that stands for an arbitrary input is called an independent variable.
A symbol that stands for an output that depends on the value of a independent variable is called a dependent variable.
y = 12x } Function
x is the independent variable = arbitrary number of hours worked.
y is the dependent variable because depends on the value of x.
<h2><em>Spymore</em></h2>
Answer:
630.
Step-by-step explanation:
<u>Given the following data;</u>
Dimensions for cube = ¼ inches
Volume = 1/64 cubic inches.
For rectangular box;
Length = 2½ = 5/2 inches.
Width = 2¼ = 9/4 inches.
Height = 1¾ = 7/4 inches.
Volume = 315/32 inches
Therefore, to find the amount of cubes;
Substituting into the equation, we have;
Number of cubes = 630
