F(-1)= -1*2+1=-2+1=-1
g(-3)= 3*(-3)+1=-9+1=-8
f(-1)+5*g(-3)=-1+5*(-8)=-1-40=-41
Answer:
(2, -6)
Step-by-step explanation:
Draw a picture woth a point at (-6, -2)
the rotate it.
Answer: A(0,-2) B(2,-2) and C(0,-7)
Step-by-step explanation: So the question is asking you to figure out where the shape will be after a translation of four units to the right and 6 units down. So starting with A, you count right four, and then you count down 6. Same thing with B and C. (Hope this helped!)
Answer:
x = 5√2
y = 5√6
z = 5√3
ΔABC ~ ΔBDC ~ ΔADB
Step-by-step explanation:
ΔABC, ΔBDC, and ΔADB are all similar triangles to each other.
By definition of similar triangles, the corresponding sides have the same ratios.
CD from ΔBDC corresponds to BD from ΔADB, and BD from ΔBDC corresponds to AD from ΔADB. So:
CD / BD = BD / AD
10 / x = x / 5
x² = 50
x = 5√2
Since ΔBDC is right, we can use the Pythagorean Theorem to solve for y:
CD² + BD² = BC²
10² + (5√2)² = y²
y² = 100 + 50 = 150
y = 5√6
Again, since ΔΔABD is right, we can use the Pythagorean Theorem to solve for z:
AD² + BD² = AB²
5² + (5√2)² = z²
z² = 25 + 50 = 75
z = 5√3