Paralell means has same slope
y=mx+b
m=slope
given
y=3/4x-9
sloe is 3/4
y=3/4x+b
find b
given point (-8,-18)
sub
x=-8 and y=-18
-18=3/4(-8)+b
-18=-6+b
add 6
-12=b
y=3/4x-12 is equation
Answer:
C
Step-by-step explanation:
A piece wise function involves two or more functions over specific intervals. The equations of the two lines are the following y=x+1 and y=-x+2. The line y=-x+2 continues to the right and has an open circle at the end. So this point is not included. This means the interval is a greater than sign but not equal to. This means C is the answer.
Using pythagorean identities,tan(sin^-1(-5/13))= tan(arcsin(-5/13))
Let A = arcsin(-5/13) = -arcsin(5/13)
Thus, sin A = -5/13 and cos A = sqrt(1 - (5/13)^2) = 12/13.= tan(A)= sin(A) / cos(A)= -5/13 / (12/13)= -5/12
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Answer:
324 square meters
Step-by-step explanation:
Hey there!
The surface area of a shape is the area of all the surfaces added up
The side surface area is 48 since 16 x 3 is 48. Since there are two side areas, we need to multiply 48 x 2 is 96
Now we need to do this for the other sides
the bottom and top areas are 96 square meters each so we multiply 96 by 2 which is 192
The front and back faces have an area of 18 square meters so we multiply 18 by 2 since there are two faces which are 36
Now we add all the values: 96+192+36 which is 324
So the surface area of the prism is 324 square meters
Answer:
125
Step-by-step explanation:
