Answer: 44
Step-by-step explanation:
28 - 16 + 2 x 4^2
28 - 16 + 2 x 16
28 - 16 + 32
12 + 32
44
Answer:
cpctc and aas
Step-by-step explanation:
If u look at it there is only 2 angles and one side (aas) and cpctc because it saying that since we know it congruent then we know that ab is equal to cb
Answer:
y = x - 7
Step-by-step explanation:
Slope intercept form is y = mx + b
y =) Will still be y =
mx) m is the slope, so we need to figure out our slope using
- We need to pick out two points
- I am going to pick (0, -7) & (1, -6)
- If look at them there is a 1 rise and a 1 run (basically, it goes up 1 and over 1)
- This means our slope is which can be turned into 1, when we put this with x we get 1x which can become x
+ b ) This is the place on the y-axis where the line intercepts it
- When we look on the graph we can see this is - 7
So putting all the parts together results in y = x - 7 which is our answer :))
Hopefully this helps, have a nice day! :D
Answer:
- <u><em>D. (-5/13, -12/13)</em></u>
Explanation:
It is indicated to <em>find the coordinates</em> of the <em>point T (5/13, 12/13) </em>at a distance <em>π + x.</em>
- π is an arc of half a circle, i.e. 180º.
Then, the distance π+ x means that the <em>point T</em> is rotated 180º.
The rule for the rotation of a point 180º around the origin is:
Applying that rule to the point T:
- (5/13, 12/13) → (-5/13, - 12/13) ← answer
Answer:
The equation is ( x² / 9 ) - ( y² / 7 ) = 1
Step-by-step explanation:
Given the data in question;
hyperbola is centered at the origin, this means h and k are all equals to 0.
Vertices: (-3,0) and (3,0)
Since y-coordinates are constant, this implies it is a hyperbola with horizontal transverse axis.
h - a = -3
0 - a = -3
a = 3
Foci: (-4,0) and (4,0)
h - c = -4
0 - c = -4
c = 4
we know that, for a hyperbola
c² = a² + b²
so
⇒ ( 4 )² = ( 3 )² + b²
16 = 9 + b²
b² = 16 - 9
b² = 7
So the equation for the hyperbola will be;
⇒ ( (x-h)² / a² ) - ( (y-k)² / b² ) = 1
so we substitute
⇒ ( (x-0)² / 3² ) - ( (y-0)² / 7 ) = 1
⇒ ( x² / 3² ) - ( y² / 7 ) = 1
⇒ ( x² / 9 ) - ( y² / 7 ) = 1
Therefore, The equation is ( x² / 9 ) - ( y² / 7 ) = 1