1. Preliminaries Remember the setup: We (the RAF in World War II) want to know the number of warplanes fielded by the Germans. T
1 answer:
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Answer:
Domain: {-2, -1, 0, 1, 2}
Range: {-5, -1, 3, 7, 11}
Step-by-step explanation:
Given the function, f(x) = -4x + 3:
We could simply substitute the given x-values into the function to solve for its corresponding y-values:
x = -2:
f(-2) = -4(-2) + 3
f(-2) = 8 + 3
f(-2) = 11
x = -1:
f(-1) = -4(-1) + 3
f(-1) = 4 + 3
f(-1) = 7
x = 0:
f(0) = -4(0) + 3
f(0) = 0 + 3
f(0) = 3
x = 1:
f( 1 ) = -4( 1 ) + 3
f( 1 ) = -4 + 3
f( 1 ) = -1
x = 2:
f(2) = -4(2) + 3
f(2) = -8 + 3
f(2) = -5
Attached is a screenshot of the table containing the same solution displayed in this post.
Answer: The perimeter is 96 m
Step-by-step explanation:
If we tag the length of the rectangle as and the width as
, and if in addition we are told
,the dimensions of the rectangle are as shown in the figure.
Now, the area of a rectangle is given by:
Since :
Isolating :
On the other hand, the perimeter of a triangle is given by the addition of each of its sides. Then, if the rectangle has two sides that measure and two sides that measure
, the perimeter is:
Substituting the value of in the last equation:
Finally the perimeter is:
Answer:
5 units
Step-by-step explanation:
The distance from a point (m, n ) to the line Ax + By + C = 0 is given by
d =
For the point (- 1, 3 ) , with m = - 1 and n = 3
3x - 4y = 10 ( subtract 10 from both sides )
3x - 4y - 10 = 0
with A = 3 , B = - 4 , C = - 10
d =
=
=
=
= 5