Answer:
y = -x - 7
Step-by-step explanation:
As we move from the point (3, -4) to the point (5, -6), x increases by 2 and y decreases by 2. Thus, the slope of this line is m = rise / run = -2/2, or -1.
Starting with the general slope-intercept form of the equation of a straight line, we get y = mx + b => y = -1x + b.
Subbing -4 for y and 3 for x, we get
-4 = -1(3) + b, which yields b = -1
Thus, the desired equation is
y = -x - 1
Answer:
The sum of two numbers is 84:
u + y = 84
The difference of the two numbers is 32:
u - y = 32
Answer:
-9/8
Step-by-step explanation:
The two points given are
(1,6) and (9,-3)
The slope is given by
m = (y2-y1)/(x2-x1)
= (-3-6)/(9-1)
= -9/8
Answer:
<u>The most simplified form is 15√10</u>
Step-by-step explanation:
1. Let's simplify the expression:
20√270 ÷ 4√3
20√9 * 30/ 4√3 (√270 = √9 * 30)
60 √30/ 4√3
(60 √3 * √10) / 4√3 (√30 = √3 * √10)
60/4 √10 ( We cancel √3 in the numerator and in the denominator)
15√10
<u>The most simplified form is 15√10</u>
Answer:
300ft^2
Step-by-step explanation:
Total surface area = Area of base + (1/2) x perimeter of base x slant height
Area of base = length² = 10 x 10 = 100
Perimeter of base = 2 ( length + breadth)
2 x 20 = 40
slant height = 10
100 + (1/2) x 40 x 10 = 300 ft^2