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Finger [1]
3 years ago
5

Use completing the square to solve for X in the equation (c+7)(x-9)=25

Mathematics
1 answer:
Feliz [49]3 years ago
7 0

Answer:

x = 1 ± √89

Step-by-step explanation:

Step 1: Expand

x² - 2x - 63 = 25

Step 2: Isolate xs

x² - 2x = 88

Step 3: Complete the square

x² - 2x + 1 = 88 + 1

(x - 1)² = 89

Step 3: Square root both sides

√(x - 1)² = ±√89

x - 1 = ±√89

Step 4: Isolate x

x = 1 ± √89

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Please help me thank you
KengaRu [80]

Answer:

false buddy that is the answer

6 0
2 years ago
Which point lies on the circle represented by the equation (x+5) + (y-9) = 8
olga_2 [115]

Answer:

(-5,9+√8)

Step-by-step explanation:

There are two ways in which you can find a point that lies in the circle. One of them is to do y the subject of the formula, and another one is to determine the center of the circumference, and with the information of the radius, you can sum this value upward or downward.

the general equation of a circle is:

(x-h)^2+(y-k)^2=r^2

with center at (h,k)

you have the following equation:

(x+5)^2+(y-9)^2=8\\\\h=-5\\\\k=9\\\\r=\sqrt{8}

Then, the center is (-5,9)

if you sum the value of the radius in one of the fourth directions (up, down, left, right), for example upward you have

(-5,9+r)=(-5,9+\sqrt{8})

Then, one point that lies in the circle is (-5,9+√8)

3 0
3 years ago
Show that one zero of 8x230x27 is the square of the other.
murzikaleks [220]

Answer:

8x2-30x+27 has one root (9/4) the square of the other (3/2)

Step-by-step explanation:

8x2+30x+27 = (2*x+3)*(4*x+9)  => solution = {-3/2, -4/9}

One is not the square of the other because squares are positive.

8x2-30x+27 = (2*x-3)*(4*x-9)  =>

solution = {3/2, 4/9}   since (4/9 = (3/2)^2, therefore the preceding question is correct.

7 0
4 years ago
Which linear inequality is represented by the graph?
Dovator [93]

Answer:

The answer to your question is   the second choice (y ≥ 1/3x - 1)

Step-by-step explanation:

Process

1.- Find two points of the graph

A (0, -1)

B (3, 0)

2.- Find the slope

m = (0 + 1)/(3 - 0)

m = 1/3

3.- Find the equation of the line

     y - y1 = m(x - x1)

     y + 1 = 1/3(x - 0)

     y + 1 = 1/3x

     y = 1/3x - 1

4.- Find the equation of the inequality

      We need the upper part of the line so the inequality must be

       y ≥ 1/3x - 1

3 0
3 years ago
The aspect of geography that examines physical characteristics of the Earth is known as ______________.
antoniya [11.8K]
<span>The aspect of geography that examines physical characteristics of the Earth is known as physical geography. The correct option among all the options that are given in the question is the third option or option "C".

Number of people in the year 2010 = 308.7 million
Number of people in the year 2000 = 281.4 million
Number of people by which the population grew = (308.7 - 281.4) million
                                                                             = 27.3 million
Percentage of change in the population = (27.3/308.7) * 100
                                                                = 8.84 percent.

</span>
5 0
3 years ago
Read 2 more answers
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