Explanation
Problem #2
We must find the solution to the following system of inequalities:
(1) We solve for y the first inequality:
Now, we multiply both sides of the inequality by (-1), this changes the signs on both sides and inverts the inequality symbol:
The solution to this inequality is the set of all the points (x, y) over the line:
This line has:
• slope m = 3/2,
,
• y-intercept b = -2.
(2) We solve for y the second inequality:
The solution to this inequality is the set of all the points (x, y) below the line:
This line has:
• slope m = -1/3,
,
• y-intercept b = 2.
(3) Plotting the lines of points (1) and (2), and painting the region:
• over the line from point (1),
,
• and below the line from point (2),
we get the following graph:
Answer
The points that satisfy both inequalities are given by the intersection of the blue and red regions:
Answer:
TUA=123
Step-by-step explanation:
so first we find <TUS in terms of x
so 180-11x-2
178-11x
so now we can use the sum of a triangle's angles which is always 180 to find the angles in triangle TUS
178-11x+5x+10+58=180
178-6x=112
take 178 from both sides
-6x=-66
x=11
so we can do 11x11+2=TUA
TUA=123
1) BC intercept y at (2,1) (given)
2) The slope of AB ===> m= (-1 - 1)?(14 - 2) ===> m = - 1/6
2) the slope of BC that is perpendicular to AB is the inverse of (1/6) & change the sign, that is 6. To find the function y, apply the formula:
y-y1) = m(x-x1) ===> y-1 = 6(x-2) [the coordinate of B] ==> y= 12x - 11
3) if y= 13, replace y by 13 in the equation:
13 = 12x -11 ===>x = 2
Answer:
2
Step-by-step explanation:
2*2=4
3*2=6
(im not gonna solve the last part)
so the second one is 2 times bigger
Answer:
Hope it helped you brainiest plz and thank you!!
Step-by-step explanation:
To reflect a figure means Reflections it over a line.
