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olga_2 [115]
3 years ago
9

What is the equation of the directrix of the parabola given by the equation (y − 3)2 = 8(x − 5)?

Mathematics
1 answer:
Licemer1 [7]3 years ago
8 0
The vertex of the parabola is at (5,3) and its focal length is 8/4 = 2.
Since it opens to the right, the directrix will be a vertical line 2 units to the left of the vertex, so its equation will be x=(5-2), or x=3
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Which formula can be used to find the sum of the measures of all the interior angles of a regular polygon with n sides?
GrogVix [38]
B. S=(n+2)180                                                                                                            i hope it help                          
6 0
3 years ago
Please help!!
ZanzabumX [31]

The two linear equations in two variable is:

12 x + 3 y = 40

7 x - 4 y = 38

(a) For a system of equations in two Variable

a x + by = c

p x + q y = r

It will have unique solution , when

\frac{a}{p}\neq \frac{b}{q}\neq\frac{c}{r}

As, you can see  that in the two equation Provided above

\frac{12}{7}\neq \frac{3}{-4}\neq \frac{40}{38}

So, we can say the system of equation given here has unique solution.

(b). If point (2.5, -3.4) satisfies both the equations, then it will be solution of the system of equation, otherwise not.

1. 12 x+3 y=40

2. 7 x-4 y=38

Substituting , x= 2.5 , and y= -3.4 in equation (1) and (2),

L.H.S of Equation (1)= 1 2 × 2.5 + 3 × (-3.4)

                             = 30 -10.20

                               = 19.80≠ R.H.S that is 40.

Similarly, L H S of equation (2)= 7 × (2.5) - 4 × (-3.4)

                                                  = 17.5 +13.6

                                                  = 31.1≠R HS that is 38

So, you can Write with 100 % confidence that point (2.5, -3.4) is not a solution of  this system of the equation.


5 0
3 years ago
Which value, when placed in the box, would result in a system of equations with infinitely many solutions?
Fantom [35]

Answer:

<h2>If we placed the number 10 in the box, we obtain a system of equations with infinitely many solutions.</h2>

Step-by-step explanation:

The given system is

y=2x-5\\2y-4x=a

<em>It's important to know that a system with infinitely many solutions, it's a system that has the same equation</em>, that is, both equation represent the same line, or as some textbooks say, one line is on the other one, so they have inifinitely common solutions.

Having said that, the first thing we should do here is reorder the system

y=2x-5\\2y=4x+a

This way, you can compare better both equations. If you look closer, observe that the second equation is double, that is, it can be obtained by multiplying a factor of 2 to the first one, that is

y=2x-5\\2y=4x-10

So, by multiplying such factor, we obtaine the second equation. Observe that a must be equal to 10, that way the system would have infinitely solutions.

Therefore, the answer is 10.

4 0
3 years ago
A New York City gift shop sells miniature Statue of Liberty sculptures that are 7.8 in. tall. The scale of the model to the actu
____ [38]

About 151. That seems pretty close. If it is incorrect, sorry.

5 0
3 years ago
You are cutting the small square patches to use to make a quilt . The size of the quilt is 60 inches by 72 inches . Find all the
kodGreya [7K]

Answer:

Step-by-step explanation:

one piece is 60×60 inch

5 pieces each measuring 12×12

so total 6 patches on one side and 6 pieces back side of same dimension.

5 0
3 years ago
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