Answer:
Step-by-step explanation:
y=2x²-6x+3
y=2x+3
2x²-6x+3=2x+3
2x²-6x+3-2x-3=0
2x²-8x=0
2x(x-4)=0
x=0,4
y=0+3=3
and y=2(4)+3=11
so solutions are (0,3) and (4,11)
Answer:
(-0.5,-2.5)
Step-by-step explanation:
- (x1 + x2) / 2 = x midpoint
- (y1 + y2) / 2 = y midpoint
<h3>X:</h3>
⇒ 2 + -3 = 5
⇒ 5 / 2 = -0.5
<h3>Y:</h3>
⇒ 4 + -9 = -5
⇒ -5 / 2 = -2.5
→ = (-0.5, -2.5)
Answer:
1
Step-by-step explanation:
Since tan(x) = sin(x)/cos(x), if sin(x) = cos(x) then tan(x) must be 1.
You can even reason that the acute angle is 45° and sin(x)=cos(x) = 
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9514 1404 393
Answer:
8. C) 24.2
9. A) 8.1
Step-by-step explanation:
8. The radius is shown as being 7.8 +4.3 = 12.1, so the diameter x is ...
d = 2r
x = 2(12.1) = 24.2
__
9. The unknown leg (y) of the right triangle can be found from the Pythagorean theorem.
y² +11.7² = 12.5² . . . . . the radius is half the diameter
y = √(156.25 -136.89) = √19.36 = 4.4
Then the segment of interest is ...
x + y = 12.5
x = 12.5 -4.4 = 8.1
Answer:
Sample spaces are for example, if I flip a coin and spin a wheel that has 1, 2, and 3 on it, the sample space would be {H1,H2,H3,T1,T2,T3}. So, sample spaces list the possibilities of a given set.
