Answer:
Step-by-step explanation:
1st side X-17
2nd side X
3rd side X-6
(X-17)+(X)+(X-6) = 49
-17-6 = -23
X+X+X-23 = 49
3X-23 = 49
3X-23+23 = 49 + 23
3X = 72
3x/3 = 72/3
x = 24
Now plug it in
(24-17)+24+(24-6) = 49
7+24+18 = 49
Answer:
well, x= -4/11
Step-by-step explanation:
For this case, what you must do is take out the area of two triangles and add it to the area of a rectangle to find the total area.
We have then:
Triangle area:
A = (1/2) * ((13-9) / (2)) * (10) = 10 in ^ 2
Rectangle area:
A = (9) * (10) = 90 in ^ 2
Total area:
At = 2 * (10) + 90 = 110 in ^ 2
answer:
110 in²
9514 1404 393
Answer:
the correct choice (A) is marked
Step-by-step explanation:
The function g(x) is translated 3 right and 1 down from f(x).
The transformation ...
g(x) = f(x -h) +k . . . . . . translates h right and k up
For your translation, you have (h, k) = (3, -1). Putting those into the transformation model above gives ...
g(x) = (x -3)² -1 . . . . matches choice A
Hint: There are several ways to proceed in this kind of problems, but usually the simplest and the one that will yield the most success on average is substituting.
Look at y variable and the expressions to which it is equal; substitute the easier-looking one in the more complicated.
Applying this, we get: 2x+2=x^2+3x-4
x^2+x-6=0.
Solving this equation of 2nd degree, we have a=1, b=1, c=-6 and we get Δ=25 and the solutions are -3 and 2. Hence, we get that the only possible values for x are -3 and 2.
To get the solutions, we have to also find the corresponding y-values:
For x=-3, y=2x+2=-4. For x=2, y=6.
Hence, the 2 pairs of solutions are: (-3,-4) and (2,6)