Answer:
A. y+8=2(x-4)
Step-by-step explanation:
A line perpendicular to y=-1/2x+11 would have slope +2, which is the negative reciprocal of -1/2.
Starting with the slope-intercept form of the equation of a straight line, find the y-intercept based upon this new line's passing through (4, -8):
y = mx + b becomes -8 = 2(4) + b. Then b = -16, and the desired new line is
y = 2x - 16.
Eliminate answer choices B and C, because 1/2 is not the correct slope.
Choice A is correct. Note that the result of subbing 4 for x and -8 for y into A: y + 8 = 2(x - 4) is a true equation: -8 + 8 = 2(4 - 4)
Also note that y + 8 = 2(x - 4) can be written in slope-intercept form:
y = -8 + 2x - 8, or y = 2x - 16 (same as obtained earlier)
Answer:
-2
Step-by-step explanation:
Simplify the following:
2 - 3 - 4 - 4 + 7
2 - 3 - 4 - 4 + 7 = (2 + 7) - (3 + 4 + 4):
(2 + 7) - (3 + 4 + 4)
2 + 7 = 9:
9 - (3 + 4 + 4)
3 + 4 = 7:
9 - (7 + 4)
7 + 4 = 11:
9 - 11
9 - 11 = -2:
Answer: -2
Answer:
The density of the object is 
grams per cubic centimeter. (Rounded off to 4th decimal)
Step-by-step explanation:
Density = [Mass/Volume]
Here we have been given the dimensions of the object.
Volume = Height * Width * Length
Volume = 
=
Now we can substitute the Mass and the Volume to the density equation.
Density = [Mass/Volume]
=
= grams per cubic centimeter. (Rounded off to 4th decimal)
Answer:
Option (D)
Step-by-step explanation:
Coordinates of the points J, E and V are,
J → (-4, -5)
E → (-4, -3)
V → (-1, -1)
This triangle is translated by the rule 
given in the question.
Coordinates of the image will follow the rule,
(x, y) → [(x + 2), (y + 4)]
following this rule coordinates of the image triangle will be,
J(-4, 5) → J'(-2, -1)
E(-4, -3) → E'(-2, 1)
V(-1, -1) → V'(1, 3)
Therefore, points given in the option (D) will be the answer.
Hello
This question requires us to change the subject of a formula. This can be achieved by following the order of operations in reverse. First, isolate the terms with our variable of interest, x:
ax - bx = z - y
Then, we take x out as it is being multiplied to both a and b:
x(a - b) = z - y
Dividing (a - b) on both sides, we get:
x = (z - y) / (a - b)
Thus, the answer is A
