<u>Answer:</u>
The equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.
<u>Solution:</u>
Given, line equation is y = x – 1 ⇒ x – y – 1 = 0. And a point is (-3, -2)
We have to find the line equation which is perpendicular to above given line and passing through the given point.
Now, let us find the slope of the given line equation.
We know that, <em>product of slopes of perpendicular lines is -1.
</em>
So, 1 
slope of perpendicular line = -1
slope of perpendicular line = -1
Now let us write point slope form for our required line.
y – (-2) = -1(x – (-3))
y + 2 = -1(x + 3)
y + 2 = -x – 3
x + y + 2 + 3 = 0
x + y + 5 = 0
y = -x -5
Hence the equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.
1,002,003 rounded to the ten thousand place is 1,000,000
Answer:
The answer is 1,550
Step-by-step explanation:
First you find the area of the rectangle 1
Area = ab
=(21 in) (17in)
=357 sq in.
this will be the same for rectangle 3 = 357 sq. in.
next find the area of rectangle 2
area=ac
=(21 in) (11 in)
=231 sq in.
this will be the same for rectangle 4 = 231 sq. in.
next find the area of rectangle 5
area = bc
=(17 in) (11 in.)
=187 sq. in
this will be the same for rectangle 6 = 187 sq. in.
Next add all areas together
Total surface area = 2(ac) + 2(ab) + 2(bc)
= 2(231) sq in. + 2(357) sq in. + 2(187) sq. in
= 462 + 174+ 374
= 1550 sq. in
Answer:
false.
Step-by-step explanation:
Given the function g(x) = f(x − k), can be sketched f(x) shifted k units horizontally. if k is negative, the function is shifted k units to the left.
Given the function g(x) = f(x) + k, we can say that the function is translated vertically upwards k times. If k is negative, the function is translated vertically downwards k times.
In this case, the function is translated two units to the right and 3 units down because the number "-3" is negative.
So it's false. The graph is translated three units downwards and 2 units to the right.
