9514 1404 393
Answer:
C 24
D 25
Step-by-step explanation:
Consider the choices offered:
5 and 7 will not form a triangle* with any of the other lengths
7 and 12 will not form a triangle with any of the other (longer) lengths
7 and 24 will form a triangle with the other possibilities, 25 and 29. (needs further consideration)
7 and 25 will not form a right triangle with 29, because a right triangle cannot have 3 odd-length sides.
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<em>Further consideration</em>
7^2 +24^2 = 49 +576 = 625 = 25^2 . . . . checking Pythagorean theorem
The side measures 7, 24, 25 will form a right triangle.
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* A triangle can be formed from three segments only if the sum of the shortest two exceeds the length of the longest one.
Answer:
60+2x≥300
Step-by-step explanation:
So we know that she makes a base of $60 a week and gets $2 extra for every item she sells. First, we set up an equation for how many items she would have to sell to make exactly $300 in a week. 60+2x=300. Now, all we do is replace the equal sign with a ≥ sign because it says at least which means more than or equal to.
Answer:
x=18
Step-by-step explanation:
Answer:
and 
Step-by-step explanation:
We have been given the parabola with vertex (1, -9) and y intercept at (0, -6).
Now we need to find the x-intercepts of that parabola. So first we begin by finding the equation of parabola using vertex formula:
Vertex for this formula is given by (h,k)
Compare that with given vertex (1,-9), we get: h=1, k=-9
So plug these into vertex formula:
...(i)
Plug given point (0, -6). into (i)
Plug a=3 into (i)
Now to find x-intercept, we just plug y=0 and solve for x
Hence final answer are
and
Answer:
x=6, x=-5
Step-by-step explanation:
Factoring this quadratic gets you (x-6)(x+5)=0, for this to be possible, either x-6 or x+5 has to be zero, so therefor x is 6, or x is -5
