Answer:
3x= 2y +6
and when we put y = 0
then 3x = 6
x = 6/3
x =2
SECOND one , when we put x = 0
0= 2y +6
-6 = 2y
-6/2= y
-3 = y
Answer:
A= -17
Step-by-step explanation:
A +-21 = -38
+21 +21
-38+21= -17
A= -17
Answer:
105 mm^3
Step-by-step explanation:
The volume formula for a triangular prism is (height x base x length) / 2.
(5 x 6 x 7) / 2 = 105 mm cubed = 105 mm^3
Answer:
B) (3, –2)
Explanation:
The inequality is y ≤ –x + 1
There are two ways to do this. You can try the four options by seeing where they lie on the graph, or by inputting them into the inequality and seeing if they check out. I am going to do a bit of both.
I know that the solution cannot have two positive coordinates because the first quadrant is not part of the solution, so I won't guess A or C.
I'll try (3, –2) (which is option B).
On the graph, (3, –2) is on the line, which means it is part of the solution because the line is solid and the inequality is a greater than or equal to sign.
Try it in the inequality:
y ≤ –x + 1
–2 ≤ –3 + 1
–2 ≤ –2 yes this checks out.
Answer:
1. 
2. 
3. 
Step-by-step explanation:
Write in exponential form
Using the law of logarithm which says if
then
By comparison;
A = 16; b = 2 and x = 4
The expression 
becomes
Write in exponential form
Applying the same law as used in (1) above;
A = 2; b = 16 and 
The expression 
becomes
Write in logarithm form
Using the law of logarithm which says if
then
By comparison;
b = 2; x = z and A = y
The expression 
becomes
