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Aliun [14]
3 years ago
7

Pre-Calc help:

Mathematics
1 answer:
stepladder [879]3 years ago
8 0

Answer:

8x^2+8y^2-79x-32y+95=0

Step-by-step explanation:

Let the equation be : x^2+y^2+2gx+2fy+c=0

The point (1,1) must satisfy this equation.

1^2+1^2+2g*1+2f*1+c=0\\2g+2f+c=-2---(1)

Similarly, the point (1,3) must satisfy:

1^2+3^2+2g*1+2f*3+c=0\\1+9+2g+6f+c=0\\2g+6f+c=-10---(2)

Also for the point (9,2), we have:

9^2+2^2+2g*9+2f*2+c=0\\81+4+18g+4f+c=0\\18g+4f+c=-85---(3)

Solving the equations (1), (2) and (3) simultaneously, we get:

g=-\frac{-79}{16},f=-2,c=\frac{95}{8}

We Substitute this values to get:

x^2+y^2+2(\frac{-79}{16})x+2(-2)y+\frac{95}{8}=0

x^2+y^2-(\frac{79}{8})x-4y+\frac{95}{8}=0

Multiply through by 8 to get:

8x^2+8y^2-79x-32y+95=0

You might be interested in
use the graphing calculator to graph the quadratic function y = x2 − 5x − 36. Which value is a solution of 0 = x2 − 5x − 36?
daser333 [38]

The solutions of the quadratic equation x² - 5x - 36 = 0 are -4 and 9.

The graph is attached below.

  • We are given a quadratic function.
  • A polynomial equation of degree two in one variable is a quadratic equation.
  • The function given to us is :
  • y = x² - 5x - 36
  • We need to find the solution of the quadratic function.
  • To find the roots, let y = 0.
  • x² - 5x - 36 = 0
  • Use the quadratic formula.
  • In elementary algebra, the quadratic formula is a formula that gives the solution(s) to a quadratic equation.
  • x = [-b±√b²-4ac]/2a
  • x = [-(-5) ± √25 - 4(1)(-36)]/2(1)
  • x = (5 ± √25 + 144)/2
  • x = (5 ± √169)/2
  • x = (5 ± 13)/2
  • x = 9 or x = -4

To learn more about functions, visit :

brainly.com/question/12431044

#SPJ1

3 0
1 year ago
What are the values of x and y. In the given figure?
anyanavicka [17]

Answer:

y = 52 degrees

x = 7 degrees

Step-by-step explanation:

Hello! So, we can first easily find out the measurement of y because of the Base Angles Theorem.

[ The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent. The Isosceles Triangle Theorem states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle. ]

- www.ck12.org

So basically, in an iscoceles triangle, the base angles are equal so therefore, y = 52 degrees

Now we have to solve for x. We know that the sum of the angles in a triangle are 180 so we have to make an equation:

52 + y = 14x + 6 {<em>We know that y is 52 degrees so we should plug that in</em>}

52 + 52 = 14x + 6 --> Now we should simplify:

104 = 14x + 6

98 = 14x

x = 7 degrees

6 0
2 years ago
Read 2 more answers
If you roll two number cubes ,what is the probability of their sum being 9 or higher?
bija089 [108]

Answer:

5/18

Step-by-step explanation:

When two cubes are rolled there are 36 possibilities

Each dice has 6 equally like outcomes so possibilities are

(1,1)  (1,2)          (1,3)          (1,4)         (1,5)         (1,6)

(2,1)  (2,2)  (2,3)  (2,4)  (2,5)  (2,6)

(3,1)  (3,2)  (3,3)  (3,4)  (3,5)  (3,6)

(4,1)  (4,2)  (4,3)  (4,4)  (4,5)  (4,6)

(5,1)  (5,2)  (5,3)  (5,4)  (5,5)  (5,6)

(6,1)  (6,2)  (6,3)  (6,4)  (6,5)  (6,6)

Now we look at the pair that has sum equal to 9

(3,6) (4,5) (5,4) (6,3) that has sum of 9

Probability of sum is 9 = \frac{4}{36}

we look at the pairs that has sum greater than 9

(4,6) (5,5)(5,6) (6,4)(6,5)(6,6)

Probability of sum greater than 9 = \frac{6}{36}

Probability of sum 9 or higher = P(sum 9) + P(greater than 9)

= \frac{4}{36}+\frac{6}{36}= \frac{10}{36}=\frac{5}{18}



4 0
3 years ago
Which step was the first error made? -3\left(2x-3\right)=33−3(2x−3)=33 -6x+6=33−6x+6=33 step 1 -6x=27−6x=27 step 2 \frac{\left(-
Afina-wow [57]

Given:

The equation is

-3(2x-3)=33

The incorrect solution steps are given.

To find:

The first error.

Solution:

We have,

-3(2x-3)=33

Using distributive property, we get

-3(2x)-3(-3)=33

-6x+9=33

The given step 1 is -6x+6=33, which is not correct.

Therefore, there is first error in step  1 because the distribution property is not used properly.

Hence, the correct option is D.

6 0
3 years ago
Which of the following equations represents the graph shown?
melomori [17]

Answer: Last option.

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Where m is the slope and b the intersection with the y-axis.

You can observe in the graph that the line passes through the origin, then:

b=0

Choose two points of the line and calculate the slope with:

m=\frac{y_2-y_1}{x_2-x_1}

Points: (2,3) and (-2,-3)

Substitute values, then the slope is:

m=\frac{-3-3}{-2-2}=\frac{-6}{-4}=\frac{3}{2}

 Substituting "m" and "b" into  y=mx+b, you get that the equation is:

y=\frac{3}{2}x

This can be written as:

f(x)=\frac{3}{2}x

6 0
3 years ago
Read 2 more answers
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