Answer:
x ≥ -1
Step-by-step explanation:
the red fully circle in -1 show that -1 is include
Answer:
A diagonal of this rectangle has length 10.
Step-by-step explanation:
The vertices (-4, 4) and (-4, -4) have the same x-coordinate (-4) and different y-coordinates (4 and -4). These two points are the endpoints of a vertical side of the rectangle which has length 4 - (-4) = 8.
Similarly, the vertices (2, -4) and (-4, -4) have the same y-coordinate (-4) but different x-coordinates (2 and -4). To find the horizontal dimension of the rectangle, we calculate 2 - (-4), which comes out to 6.
Thus, the width of the rectangle is 6 and the length is 8.
Using the Pythagorean Theorem, we find the length of a diagonal as follows:
d = √(6^2 + 8^2) = √(36 + 64) = √100 = 10.
A diagonal of this rectangle has length 10.
Answer:
General Formulas and Concepts:
<u>Algebra II</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<u>Step 2: Solve for </u><em><u>x</u></em>
- Rewrite:
- Define:
- Distribute:
- Subtract 2x on both sides:
- Subtract 15 on both sides:
Answer:
4a)= 2.1m 4b)= 1.9 m 5)= 29.6º
Step-by-step explanation:
4a):
x is the opp
AB is the hyp
BC is the adj
thus,
sin32 = x/4
cross multiply, x= 4*sin32
x= 2.1196.......
x=2.1 m
4b).
x is the hyp
ac is the opp
bc is the adj
thus,
cos65=4.5/x
cross multiply, x= 4.5*cos65
x=1.9017....
x=1.9 m
5).
AB is the opp
bc is the adj
ac is the hyp
thus:
tanC= 2.1/3.7
C= tan^-1 (2.1/3.7)
C= 29.5778.....
C= 29.6º
Answer:
0
Step-by-step explanation:
-7+1+ -1 * -6
Using PEMDAS, we multiply and divide first
-1*-6 = 6
Then we add and subtract from left to right
-7+1+ 6
-6+6 =0
