Answer:
-1/2
Step-by-step explanation:
y = mx + c is the standard form of the equation where m is slope. Comparing the question to the equation we get
m = -1/2
Answer:
512 in³
Step-by-step explanation:
The height perpendicular to the base is the leg of a right triangle with hypotenuse 10 in and other leg 8 in. Using the Pythagorean theorem, we can find it as ...
h² +8² = 10²
h² = 100 -64 . . . . . subtract 8²
h = 6 . . . . . . . . . . . . take the square root of 36
Then the volume is found using ...
V = (1/3)Bh = (1/3)(16 in)²(6 in) = 512 in³
The volume is 512 cubic inches.
_____
The 8-inch dimension used above comes from half the distance between the center of one side of the base to the center of the opposite side. (16 in)/2 = 8 in.
《ANSWER》
《LINEAR EQUATIONS》
Solving all we get as
↪1) 5 (x -2) = 5x - 7
since after solving X is cancelled , NO SOLUTION
↪2) -3 (x - 4) = -3x + 12
SINCE after solving X is any value , infinitely many solutions
↪3) 4 (x + 1) = 3x + 4
solving we get as , 4x+ 4 = 3x + 4 =》 X =0
only one solution
↪4) -2 (x-3) = 2x - 6
Only one solution
↪5) 6 (x + 5) = 6x + 11
NO SOLUTION
All the equations are solved by the distributive law of algebra
Using the points (0,14) and (10,0), the gradient of the line is (14-0)/(0-5) which simplifies to -7/5.
From these points, we can also see that when the x value is zero, the y value is 14. Therefore the y-intercept is 14.
We can then put this into the equation of a straight line, y=mx+c:
y = (-7/5)x + 14
