Check the picture below.
well, g(x) + 1 is simply a vertical shift upwards of 1 unit, if the vertex before that had a y-coordinate of 4, then later on became 4+1 or 5, so the new vertex is simply (3 , 5).
Answer:
3
Step-by-step explanation:
3.34in is ans and after rounding off we can get 3
Answer:
8.625 ft for each side.
Step-by-step explanation:
This one's pretty simple. It's a square, so all of its sides are the same length. It's perimeter is given as 34.5 ft, so all you have to do is divide 34.5 by 4 since squares have 4 sides. 34.5/4 is 8.625, which, rounding to the nearest 1/100th, is 8.63. Rounding to the nearest 1/10th it's 8.6, and rounding to the nearest 1th is 9 (although i doubt saying 1th is right, but just because).
Answer:
the answer is the third one.
Step-by-step explanation:
the number line is closed circle and at least means greater than or equal to so the answer is "C".
Step-by-step explanation:
it clearly consists of 2 rectangles and 1 triangle (as you tried correctly to point out by drawing the separating lines).
we only need to calculate all 3 areas and add them up for the total.
the area of a rectangle is
length × width
so, in our 2 cases we have
6 × 2 = 12 km²
5 × (3 + 2 + 3) = 5×8 = 40 km²
the area of a triangle is
baseline × height / 2
in case of a right-angled triangle the 2 sides enclosing the 90° angle can be used as baseline and height.
so, in our case
6 × (5 + 2 + (3 + 2 + 3 - 2)) / 2 = 6×(7 + 6)/2 = 3×13 = 39 km²
in total, the whole area is
12 + 40 + 39 = 91 km²
