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sammy [17]
3 years ago
11

Which is the vertex of x^2 + 10x = - 17?

Mathematics
1 answer:
Valentin [98]3 years ago
3 0

Answer:

(-5, -8)

Step-by-step explanation:

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Ralph is 3 times as old as Sara. In 6 years , Ralph will be only twice as old as Sara will be then. Find Ralph’s age now .
Delvig [45]

Answer:

Ralph's current age is 18.

Step-by-step explanation:

Let r and s represent the current ages of Ralph and Sara respectively.  Our task here is to determine r, Ralph's age now.

If Ralph is 3 times as old as Sara now, then r = 3s.

Six years from now, Ralph's age will be r + 6 and Sara's will be s + 6.  Ralph will be only twice as old as Sara will be then.  This can be represented algebraically as

r + 6 = 2(s + 6).

We now have the following system of linear equations to solve:

r + 6 = 2s + 12, or r - 2s = 6, and r = 3s (found earlier, see above).

r - 2s = 6

r = 3s

Substituting 3s for r in r - 2s = 6, we get 3s = 2s + 6, or s = 6.  Sara is 6 years old now, meaning that Ralph is 3(6 years), or 18 years old.

Ralph's current age is 18.


3 0
3 years ago
Antonio finished the race in 28 minutes and 11.00 seconds. Julio finished 0.08 second faster than Antonio. Pete finished 0.1 sec
max2010maxim [7]

Answer:

It took Peter 28 minutes and 10.82 seconds to finish the race.

Step-by-step explanation:

We have that:

t_{A}: Antonio = 28 min + 11.00 s (1)

t_{J}: Julio = A - 0.08 s  (2)

t_{P}: Pete = J - 0.1 s   (3)

Then, the time at which Pete finished the race is:

t_{P} = t_{J} - 0.1   (4)

By entering equations (1), (2), (3) into (4) we have:

t_{P} = (t_{A} - 0.08) - 0.1            

t_{P} = 28 min + 11.00 s - 0.18 s = 28 min + 10.82 s

Therefore, it took Peter 28 minutes and 10.82 seconds to finish the race.    

I hope it helps you!

5 0
3 years ago
-45+(-30)-90 the answer of that mathematics sum
Klio2033 [76]
The answer of
<span>-45+(-30)-90= -165

Hope this helps <3
</span> 
6 0
2 years ago
Read 2 more answers
Is -8x + 10 = 2(5-4x) one solution
Basile [38]
The answer to this is true
3 0
3 years ago
Pls help me with this:((​
BlackZzzverrR [31]

Answer:

9. A. One - to - One Correspondence

10. D. None of the above

5 0
2 years ago
Read 2 more answers
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