Answer:
y = x - 8
Step-by-step explanation:
The equation of the straight line which is perpendicular to the straight line y = -x -3, will be y = x + c' ....... (1), where c' is a constant.
{This is because the product of the slopes of two mutually perpendicular straight line is -1}
Now, (3,-5) point satisfies equation (1).
Hence, -5 = 3 +c', ⇒c' = -8.
Therefore, the equation of the required straight line in slope-intercept form is y = x - 8 (Answer)
{Note: The slope-intercept form of a straight line is y = mx + c, where m is the slope of the line i.e. tanФ, and c is the length of y-axis intercept.}
Hi!
50) The answer is 104 cm
Steps:
-recognize that the shape is a triangle and a rectangle put together
-find the measurements of the triangle (8&6) and the rectangle (8&10)
-find the areas of the triangle (l x h divided by 2= a) and the rectangle (l x h+a)
-add the areas together (24& 80)
51) The answer is 800ft
Steps:
-split the irregular shape into a triangle and a rectangle
-find the area of both the triangle (200) and of the rectangle (600)
-add together (200+600= 800)
52) The answer is 156 cm
Steps:
-recognize that the shape can be split into 3 rectangles
-find the measurements for all three rectangles (12&5, 12&6, 3&8)
-Use the formula l x h= a for each rectangle
-add each one of the rectangles together (60, 72, &24)
Answer:
C) One solution:
Step-by-step explanation:
Hope this helps!
Step-by-step explanation:
15t + 30 = 20t | -15t
30 = 5t
t = 30/5 = 6
20 + 5t = -6t + 86 | + 6t
20 + 11t = 86 | -20
11t = 66
t = 6
18t + 20 = 24t + 50 | -18t
20 = 6t + 50 | -50
-30 = 6t
t = -30/6 = -5
18t - 2 = 10t + 54 | -10t
8t - 2 = 54 | +2
8t = 56
t = 56/8 = 7
7t - 5 = 15t + 91 | -7t
-5 = 8t + 91 | -91
-96 = 8t
t = -96/8 = -12