G (x) = |x + 10| (if you mean horizontal translation to the left)
or g (x) = | x | + 10 (vertical translation 10 units up)
Slope is 1/2 and hope this helped
Answer:
∠ CDA = 32.3°
Step-by-step explanation:
See the given figure attached to this answer.
Draw perpendiculars from B and C on AD which is BE and CF.
Now, Δ ABE is a right triangle and AE² = AB² - BE² = 7.5² - 6² = 20.25
⇒ AE = 4.5 cm
Now, DF = AD - EF - AE = 24 - 10 - 4.5 = 9.5 cm {Since BC = EF}
And CF = BE = 6 cm.
Now, Δ CFD is a right triangle and
{Where β = ∠ CDA}
⇒ Degree.
So, ∠ CDA = 32.3° {Correct to one decimal place} (Answer)
8:5:3
8 blue marbles to 5 red marbles to 3 green marbles
There are 3 green marbles because the total of 16 marbles minus the blue and red marbles leave 3 marbles left.
The answer is C.
To solve, add 2x to both sides. Then subtract 11 from both sides. Finally, divide both sides by 4 to get x = -7.5. This is the only equation that has exactly one solution. For answer choices B and D, there are an infinite number of x values so, these two can easily be ruled out. And for answer choice A, there is no solution because the x values cancel each other out.
2x + 11 = -2x - 18
4x + 11 = - 18
4x = -29
x = -7.5
Hope this helps! :)<span />