Answer:
6/7
Step-by-step explanation:
Given the points :
(-5, 2) and (2, 8)
Slope can be obtained by using the relation :
(y2 - y1) / (x2 - x1)
From the points given :
x1 = - 5 ; y1 = 2 ; x2 = 2 ; y2 = 8
(8 - 2) / (2 - (-5))
(8 - 2) / (2 + 5)
6 / 7
Hence, slope between the two points = 6/7
Assume that
a and b = the two legs of the right triangle.
c = the hypotenuse.
The area of the right triangle is 750 yd², therefore
(1/2)*a*b = 750
ab = 1500 (1)
The perimeter is 150yd, therefore
a + b + c = 150 (2)
Let the side fenced with wood be a, at $5/yd. Sides b and c are fenced with steel at $10/y. The total cost is $1200, therefore
5a + 10b + 10c = 1200
or
a + 2b + 2c = 240 (3)
From (2), obtain
c = 150 - a - b (4)
Substitute (4) into (3)
a + 2b + 2(150 - a - b) = 240
-a + 300 = 240
a = 60
From (1), obtain
60b = 1500
b = 25
From (4), obtain
c = 150 - 60 - 25 = 65
Answer:
A. The length of the leg fenced with wood is 60 yd.
B. The length of the leg fenced with steel is 25 yd.
Answer:
C
Step-by-step explanation:
Using the rule of radicals
× 
⇔ 
Simplifying each radical before combining them.
= 
= 
× 
= 3
-----------------------------------------------------------------------------
= 
= 
× = 5
---------------------------------------------------------------------------
Hence
2(3) - 3(5
= 6 - 15
= - 9 → C
Answer:
See below
Step-by-step explanation:
Tariku in second grade read 6 books each month during the year. This is equal to 6(12) = 72.
Tariku in third grade read 8 books each month during the year. This is equal to 8(12) = 96.
You can find the total amount with any of the below equations:
- 6(12) + 8(12)
- 12(6+8)
- 12(14)
For a total number of months x the equations would be the same except with x instead of 12.
Answer:
238
Step-by-step explanation:
