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andrew11 [14]
3 years ago
6

How many real roots does the quadratic function f(x)= -5x^2 have?

Mathematics
1 answer:
Naya [18.7K]3 years ago
5 0
1 root I believe this is the correct answer
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Please help me with this problem, please
Harman [31]

Answer:

sin(x) = 5/13

cos(y) = 5/12

Therefore, sin(x) = cos(y)

Step-by-step explanation:

Trig ratios:

sin(\theta)=\dfrac{O}{H}\\\\\\cos(\theta)=\dfrac{A}{H}\\\\\\tan(\theta)=\dfrac{O}{A}

where \theta is the angle, O is the measure of the side opposite the angle, A is the measure of the side adjacent to the angle and H is the hypotenuse, of a right triangle

We have been given the measures of the two legs, so we can find the measure of the hypotenuse by using Pythagoras' Theorem a^2+b^2=c^2

(where a and b are the legs and c is the hypotenuse of a right triangle)

\implies 5^2+12^2=c"\\\\\implies 169=c^2\\\\\implies c=\sqrt{169}\\\\ \implies c=13

Now we can use the trig ratios:

\implies sin(x)=\dfrac{5}{13}

\implies cos(y)=\dfrac{5}{13}

Therefore, sin(x) = cos(y)

8 0
2 years ago
Two quantities x and y are connected by the formula y=7-9x.
WINSTONCH [101]

Answer:

a very nice qualification a very nice

8 0
3 years ago
Read 2 more answers
How can you get the constant of proportonality
kolbaska11 [484]

The constant of proportionality (k) equals the total price (y) divided by the number of cans (x).

Step-by-step explanation:

6 0
3 years ago
The graph of y = 1/2 x2 + 2x + 3 is shown. What are the solutions to the equation 1/2 x2 + 2x + 3 = x + 7?
kirill [66]

Answer:

Step-by-step explanation:

Let's organise our information :

  • the function is (1/2)x²+2x+3

we want to khow the value of x that gives us : (1/2)x²+2x+3=x+7

Now the trick is to write this expression as a quadratic equation with zero at one side :

  • (1/2)x²+2x+3=x+7
  • (1/2)x²+2x+3-x-7=0
  • (1/2)x²+x-4=0

Now let's solve this equation :

  • a= 1/2
  • b= 1
  • c= -4

Δ=1²-4*(1/2)*(-4)

 = 9

So we have two solutions :

  • \left \{ {{y=\frac{-1-3}{2*0.5} } \atop {x=\frac{-1+3}{2*0.5} }} \right.
  • y= -4
  • x= 2

So the solutions are -4 and 2

3 0
3 years ago
Jade hiked mile on the trail. Gretta hiked times as far on the trail as Jade.How far did Gretta hike on the trail?
Likurg_2 [28]
However many miles Jade hiked I would multiply it by however many times Gretta hiked to get your answer.
8 0
3 years ago
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