Answer:
It's D.
Step-by-step explanation:
There are no repetitions of the x values in the ordered pairs so they are all functions.
The equation x=2t-1 represent the x-coordinate. To get the value of x, substitute t with -1.
That is: x = 2(-1) - 1
= -2-1
= -3
Likewise, the equation y=t∧-3 represent the y-coordinate. Substituting t with -1,
y = (-1)∧-3
= -1
The point that correspond to t=-1 is (-3,-1).
Answer:
Here's how I would do it.
Step-by-step explanation:
If two triangles are similar, corresponding sides are in the same ratio.
We know the measures of b and a, so we can calculate the ratio b/a.
d and b are in the same ratio, so

We know the measures of c, b, and a, so we can calculate the value of d.
Answer:
Step-by-step explanation:
Let's organise our information :
- the function is (1/2)x²+2x+3
we want to khow the value of x that gives us : (1/2)x²+2x+3=x+7
Now the trick is to write this expression as a quadratic equation with zero at one side :
- (1/2)x²+2x+3-x-7=0
- (1/2)x²+x-4=0
Now let's solve this equation :
Δ=1²-4*(1/2)*(-4)
= 9
So we have two solutions :
So the solutions are -4 and 2