2-14:
A) 3x+5y=3(3)+5(2)
=9+10
=19
B) x²+y²=3²+2²
=9+4
=13
C) -5x+9=-5(3)+9
=-15+9
=-6
D) xy-1=(2×3)-1
=6-1
=5
E) 2x²-y=2(3)²-2
=18-2
=16
F) 2y-x+5+x²-3y=2(2)-3+5+3²-3(2)
=4-3+5+9-6
=9
2-15: area=y²+xy+xy
=(y²+2xy) un²
perimeter=y+y+y++y+x+y/2+y+x+y/2
=(6y+2x) un
Y=-(3/5)x-7is the anwser because this is the form y=mx+b where m=5/3 any line perpendicular to this given line will have the slope of -1/m so, in this case slope of perpendicular is: -1/(5/3) = -3/5 we know the y-intercept is -7, point (0, -7) so wave: <span>y = -(3/5)x - 7</span>
Answer: Quadrant 1 (northeast quadrant)
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Explanation:
Add on 360 degrees to do a full rotation
-302+360 = 58
So angles -302 degrees and 58 degrees are pointing in the same direction. These angles are in quadrant 1, which is the northeast quadrant
Note: because the angles -302 and 58 point in the same direction, we consider these angles to be coterminal.
A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or not infinitely long. If they aren't, then these are called irrational numbers.
Let's try each of the choices:
A. The term 2/4 is a rational number. Now, when 0.3 or 3/10 is added to it, the sum would be 4/5 or 0.8. This is a rational number.
B. √7 is an irrational number because its exact value is 2.645751311.... Even if you add 0.3 to it, the answer would still be irrational
C. Obviously, this is an irrational number
D. The exact value of π is <span>3.14159...... If 0.3 is added to it, the answer would be 3.441592654. This is irrational.
Therefore, the answer is A.</span>
