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Ronch [10]
2 years ago
8

I am doing a test please help

Mathematics
1 answer:
ki77a [65]2 years ago
7 0

Answer: 42 minutes

Step-by-step explanation:

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Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?
Artemon [7]

Answer:

The equation y=\frac{-x^2-6x+31}{8} represents the equation of the parabola with focus (-3, 3) and directrix y = 7.

Step-by-step explanation:

To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).

Using the distance formula d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }, we find that the distance between (x, y) is

\sqrt{(x+3)^2+(y-3)^2}

and the distance between (x, y) and the directrix y = 7 is

\sqrt{(y-7)^2}.

On the parabola, these distances are equal so, we solve for y:

\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}

6 0
3 years ago
Tickets to a hockey game cost $35 each. What is the total cost for 5 tickets?
nordsb [41]

The answer would be $175

Multiply the most by the number of tickets

5 0
2 years ago
Read 2 more answers
Find the area A of triangle JKL with the vertices J(5,8), K(0,7), and L(5,4)
eimsori [14]

Answer:

Area of the triangle is 10 square units

Step-by-step explanation:

Recall that the formula for the area of a triangle is: "base x height / 2", and  in this case, we can consider the triangle's base as the segment that joins the vertices (5, 4) and (5, 8) which gives a segment length of 4 units. The height of the triangle is then the distance between the third vertex (0,7) and the base, which is exactly 5 units. Then the area becomes:

Area = 4 x 5 / 2 = 10 square units.

5 0
3 years ago
The table represents quadratic function g. Which statement is true about the function?
weqwewe [10]

Answer:

B.   The maximum occurs at the function's x-intercept.

Step-by-step explanation:

Given table:

\large\begin{array}{| c | c | c | c | c | c | c |}\cline{1-7} x & -5 & -4 & -3 & -2 & -1 & 0\\\cline{1-7} g(x) & -1 & 0 & -1 & -4 & -9 & -16\\\cline{1-7}\end{array}

From inspection of the table, we can see that:

  • g(-5) = -1  and
  • g(-3) = -1

This indicates <u>symmetry</u>.  

The line of symmetry is the mid-point between the two x-values.

Therefore, the <u>line of symmetry</u> is x = -4

The vertex (minima/maxima) is on the line of symmetry, therefore the vertex is at (-4, 0).  As the function decreases as x → 0, the vertex is a <u>maximum</u>.

As the y-value of the vertex is 0, the maximum occurs at the function's <u>x-intercept</u>.

3 0
2 years ago
Read 2 more answers
Simon must maintain an average grade of 80% or better in his math class to be eligible to play sports.His math grade so far are
Sophie [7]

Answer:

Let x be the percentage score he got in fifth test,

According to the question,

His score in first, second, third and fourth test are 80%, 84%, 76% and 77% respectively,

Thus, the average of his total score in the five test,

= \frac{80+84+76+77+x}{5}

But, Again according to the question,

The average of the five grades as greater than or equal to 80%

That is,

\frac{80+84+76+77+x}{5}\geq 80

⇒ \frac{317+x}{5}\geq 80

⇒ 317 + x \geq 400

⇒ x\geq 83

Thus, the least score he can get in the fifth test is 83.

3 0
3 years ago
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