Answer:
-19
Step-by-step explanation:
f(x) is the same as solving for the variable y
So y= -4(7)+9
f(7)= -28+9 = -19
Answer: g(x) = 2(x + 3) + 1
Step-by-step explanation:
When we have an horizontal translation of A units (A is a positive real number) to the right, we write this as:
g(x) = f(x - A)
If the translation is to the left, then we have:
g(x) = f(x + A).
In this case, we have a translation to the left, and A = 3, then:
g(x) = f(x + 3)
And we know that:
f(x) = 2x + 1
g(x) = f(x + 3) = 2*(x + 3) + 1 = 2x + 6 + 1 = 2x + 7
g(x) = 2x + 7
Answer:(b^7/4^5)^-3=? Select the equivalent expression. A: b^-21times 4^-15. B: b^21/4^15. C: 4^15/b^21
Step-by-step explanation:
If H is the circumcenter, then each of EH, FH, and GH are perpendicular bisectors of the legs BC, CD, and DB, respectively. So, for instance, EH cuts BC in half so that BE and EC have the same length.
Also, BH, CH, and DH are radii to the circumcircle of the triangle, so they all have the same length.
(1) CD = CF + FD = 2 • FD = 2 • 32 = 64
(2) CE = BE = 26
(3) HD = HC = 33
(4) GD = 1/2 • BD = 1/2 • 58 = 29
(5) By the Pythagorean theorem,
HG² + GD² = HD²
so
HG = √(33² - 29²) = 2 √(62)
(6) Similar to (5); by the Pythagorean theorem,
HF² + FD² = HD²
so
HF = √(33² - 32²) = √(65)
3.375 because 9 is 3/4th of the 12 so you would divide 4.5 by 4 and multiply by 3 and it gives you 3.375