Answer:
The unknown dimension is 35
Step-by-step explanation:
The perimeter of a rectangle is l+l+w+w or 2l+2w (l=length, w=width)



then we subtract 14 from 84



Let's check our answer

<u>Hope this helps :-)</u>
Answer:
-2y2 - 4y - 7
Step-by-step explanation:
2y2 + 2y2 - 6y2 - 4y - 5 - 3 + 1
4y2 - 6y2 - 4y - 8 + 1
-2y2 - 4y - 7
Answer:
x=3
Step-by-step explanation:
8x - 12 = 4x add 12 to both sides you get 8x=4x+12 subtract 4x on both sides then you get 4x=12 divide 4x on both sides and x = 3 Hope helps!!
8x-12=4x
+12 +12
__________
8x=4x+12
-4x -4x
_______-
4x=12
÷4 ÷4
______
x=3
Hope helps :3
The length of PR is 4.4 units.
Explanation:
It is given that the length of the hypotenuse is 10 units.
Also, the angle of R is 64°
To find the length of PR, we shall use the cosine formula,

Here,
, adj = PR and hyp = 10
Substituting these values in the formula, we get,

Multiplying both sides by 10, we get,

Substituting the value for cos 64, we get,

Multiplying, we have,

Rounding off, we get,

Thus, the length of PR is 4.4 units.
Answer:
See below
Step-by-step explanation:
<h3>Part (a)</h3>
f(x - 1) is the translation of f(x) one unit right.
So the graph is exactly same shape but shifted right one unit.
<h3>Part (b)</h3>
f(x) has vertex (-1, 2)
<u>The function y = f(-x) + 2 will have the vertex changed as per rule:</u>
<u>So the new vertex is:</u>
- (-1, 2) → (-(-1), 2 + 2) = (1, 4)