Answer:
51
Step-by-step explanation:
Plug in 3 as x into the function:
g(x) = 9x + 24
g(3) = 9(3) + 24
g(3) = 27 + 24
g(3) = 51
Answer:
ligma
Step-by-step explanation:
a b c d
Answer:
x= 37.5°
Step-by-step explanation:
∠CBD
= 180° -75° (adj. ∠s on a str. line)
= 105°
∠BCD= ∠BDC (base ∠s of isos. △BCD)
∠BCD= x
∠BCD +∠BDC +∠CBD= 180° (∠ sum of △BCD)
x +x +105°= 180°
2x= 180° -105°
2x= 75°
x= 37.5°
<u>Alternative</u><u> </u><u>working</u><u>:</u>
∠BDA= (180° -75°) ÷2 (base ∠s of isos. △ABD)
∠BDA= 52.5°
∠BDA +∠BDC= 90°
52.5° +x= 90°
x= 90° -52.5°
x= 37.5°
The scale factor is 1.5 because:
9 x 1.5 = 13.5
5 x 1.5 = 7.5
C. 3.16 is the right answer
Step-by-step explanation:
The distance formula used in coordinate geometry is derived from the Pythagorean theorem.
The distance formula is give by:
Here (x1,y1) are the coordinates of first point and (y1,y2) are the coordinates of second point
Here,
(x1,y1) = (5,-3)
(x2,y2) = (6,0)
Putting the values in the formula
The distance between two points is 3.16 units.
Hence,
C. 3.16 is the right answer
Keywords: Coordinate geometry, Pythagorean Theorem
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