Your answer is y = 3x + 24.
We already know that the first part of the equation is 3x, as the slope has been given to us. This means all we have to figure or is the y-intercept, which we can do by substituting in the coordinates we were given:
y = 3x + c
-7 = (3 × -8) + c
-7 = -24 + c
+ 24
17 = c
This gives us our y-intercept as 17, so then the final answer is y = 3x + 17.
I hope this helps!
Answer:
Step-by-step explanation:
Since, both the triangles of the paperweight are congruent,
Their corresponding sides will be congruent.
3x + 2.5 = 4
3x = 4 - 2.5
x = 0.5
Similarly, 2y - 5 = 3x + y
2y - y = 3x + 5
y = 3x + 5
y = 3(0.5) + 5
y = 1.5 + 5
y = 6.5
Total length of the hypotenuse = 2y - 5
= 2(6.5) - 5
= 13 - 5
= 8
Option B is the answer.
Total length of the base = (3x + 2.5) + 4
= 3x + 6.5
= 3(0.5) + 6.5
= 8
Option B is the answer.
Step-by-step explanation:
slope(m)= y2-y1/x2-x1
-2-6/4+2
= -8/6
= -4/3
Answer:
(p∘q)(5) = 2
(q∘p)(5) = -1
Step-by-step explanation:
The composition of functions can be written a little differently, perhaps making it easier to understand.
(p∘q)(x) = p(q(x))
(p∘q)(5) = p(q(5)) = p(2·5 -5) = p(5) = 5 -3
(p∘q)(5) = 2
__
(q∘p)(5) = q(p(5)) = q(2) = 2·2 -5
(q∘p)(5) = -1
You look for two good points on the graph, then you rise and run.( go up then move right or left)
