Use completing the square to solve for x in the equation (x+ 7)(x-9)=25,
OX= 4 or 6
O X-2 or 14
O x=1V89
O x=1 V87

Use Completing The Square To Solve For X In The Equation (x+ 7)(x-9)=25,OX= 4 Or 6O X-2 Or 14O X=1V89O

Answers

Answer 1

Answer:

3rd option

Step-by-step explanation:

(x + 7)(x - 9) = 25 ← expand left side using FOIL

x² - 2x - 63 = 25 ( add 63 to both sides )

x² - 2x = 88

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 1)x + 1 = 88 + 1

(x - 1)² = 89 ( take square root of both sides )

x - 1 = ± [tex]\sqrt{89}[/tex] ( add 1 to both sides )

x = 1 ± [tex]\sqrt{89}[/tex]


Related Questions

I will give up to 40 points if you help answer 5 questions

Answers

Answer:

SSSthe answer is ASAS1, 2, 3, 4, and 5using alternate interior angles theorem on angles A and C, verticle angles theorem on angle O, and the Parallelogram Diagonals Theorem Converse  you can prove triangles ADO and BOC are similar. Then using  CPCTC "Corresponding parts of congruent triangles are congruent" you can prove that line segment AO is congruent (equal) to line segment CO

Step-by-step explanation:

if my answer helps plz give me brainliest :)

Answer:

I hope this helps. I'm sorry in advance if it isn't.

Step-by-step explanation:

1) SSS

2) The first bullet point

3) SAS

4) They are congruent by SAS, ASA

5) Segment AO is congruent to segment CO because:

The diagonals AC and BD both have O as the intersection point. AC = BD since the geometric means of the legs is equal. Thus AO is congruent to CO

Which of the following is equivalent to:
−−(2+5)−(3−7)?

Answers

Answer:

You haven't provided expressions, so I can work out the problem for you. When we divide fractions, remember always "keep, switch, flip!" That's what we're gonna do here. We keep the 2/5, switch the sign to multiplication, and flip the 7/8 to 8/7. Therefore, we have 2/5*8/7. That gives us 16/35. Hope this helps!

Step-by-step explanation:

6) A geologist collects rocks. He has three types, sedimentary, metamorphic and
igneous. The ratio of sedimentary rocks to metamorphic rocks is 2:3.
The ratio of metamorphic to igneous is 9:10.
What is the ratio of sedimentary to igneous?

Answers

Answer:

3:5

Step-by-step explanation:

s:m = 2:3

m:i = 9:10

convert m to same number so they are comparable

s:m = 6:9   (multiple so the ratio is still the same as 2:3)

m:i = 9:10 (the same thing as before)

s:i = 6:10

s:i = 3:5 (simplify)

At Health Hair, the cost of a children's haircut, x , is $4 and the cost of an adult haircut, y , is $14. The sales from Friday were $568. There were 42 haircuts in all.

Write a system to represent the situation.

AND

Solve the system and interpret the answer.

Your Answer:

Answers

Answer:

[tex]x + y = 42,[/tex]

[tex]4x + 14y = 568,[/tex]

[tex]x = 2, y = 40[/tex]

Step-by-step explanation:

Learn the FULL explanation at: https://brainly.com/question/25629296

Find the surface area of a cylinder with radius 8m and height 5 m

Answers

Answer:

A≈653.45

Step-by-step explanation:

Solution

A=2πrh+2πr2=2·π·8·5+2·π·82≈653.45127

Which 2 values are greater than 3/5?


1/4
0.68
2/3
0.599
1/2

Answers

The answer is 0.68 and 2/3

Hoped that helped

Urgent!
<6 and what angle are corresponding angles?

Answers

Answer:

11

Step-by-step explanation:

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).

what two decimal
are between the square root of 62

Answers

7 and 8 because the square root is 7.874

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

27.2 ft

Step-by-step explanation:

similar triangles

51/90=x/48

x=27.2 ft

A _______ is a variable, an integer or a product of variables and
integers.

Answers

Product variation .

what is the slope of the line

Answers

The slope is 2/1, rise/run

Please. I just need an answer. I don’t know how to mark brainliest but if I did I would.

Answers

Answer:

60 degrees

Step-by-step explanation:

A student earns $8 per hour plus a $15 bonus each weekend day worked. Last week, the student worked 1 weekend day and earned a total of $115 for h hours of work.

Answers

Answer:

12.5 hours

Step-by-step explanation:

[tex]115 - 15 = 100 \\ \frac{100}{8} = 12.5[/tex]

The student worked for 12.5 hours.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

A student earns $8 per hour plus a $15 bonus each weekend day worked.

Now, let the student works for h hours.

So, the earning would be= 15+ 8h

As, he earned $115

So, 15+ 8h= 115

8h = 100

h = 12.5 hours

Hence, the student worked for 12.5 hours.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ2


4) Tom is 4 years older than Bob, Evan is 10 years younger than Tom, Tucco is half of Evan's age, and Mary is 8 year
younger than twice Tucco's age. Mary is 46 years old today. Find the rest of everyone's ages. Be careful with your
thinking

helpp

Answers

Answer:

if you find the age of bob the rest is easy

Step-by-step explanation:

find the perimeter of a regular pentagon with each side measuring 6cm.

Answers

Answer:

30cm

Step-by-step explanation:

Perimeter of a Pentagon=5L

P=5×6cm=30cm

NO LINKS AND NO WEBSITES I really need help with this, and also if it's Substitution or linear combination.​

x = -2
3x + y = 8​

Answers

Step: Solve x = −2 for x:

x = −2

Step: Substitute −2 for x in 3x + y = 8:

3x+y=8

(3)(−2)+y=8

y−6=8(Simplify both sides of the equation)

y−6=8 (Add 6 to both sides)
+6 +6

y = 14

Answer:
x = −2
and
y = 14

whats the answer pls

Answers

Answer:

y=0.75x-1

Step-by-step explanation:

100 POINTS PEOPLE!!!!!

Answers

Answer: Poggers, what if i did 2000 points???

Step-by-step explanation:

Answer:

lol

Step-by-step explanation:

An education website has 434,206 daily unique visitors. An e-commerce website gets double the number of visitors. How many visitors does the e-commerce website get? Thank you in advance:))

Answers

Answer:

868,412 visitors

Explanation:

434,206 x 2 (double)

I’m a right or nah.


Helppp

Answers

Answer:

You are right

Step-by-step explanation:

It starts at zero and goes up. (Positive slope)

negate the following statements.​

Answers

I will not go to school tomorrow
The earth is not the center of the solar system
Angle A and angle B are not congruent
The money you gave me was not enough
She is enjoying her time
I did bring the key

I hope this helps.

With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane.

WILL GIVE BRAINLY TO FIRST ANSWER

Answers

Based on the information given, it can be noted that the air speed that the plane has will be 71.1 km per hour.

The number of hours used for the return trip will be:

= 2 hours - 24 minutes.

= 1 hour 36 minutes.

= 1.6 hours.

Therefore, the speed of the air plane will be:

= (128 + 128) / (2 + 1.6)

= 256/3.6.

= 71.1 km per hour.

Learn more about speed on:

https://brainly.com/question/25860159

Hellooo, is this simple graphing or do I have to like solve something

Answers

Answer:

Just graph the points

Step-by-step explanation:

no need to solve anything

You can represent the measures of an angle and its complement as x °and (90 - x). Similarly, you can

represent the measures of an angle and its supplement as x and (180 - x )º. Use these expressions to

find the measures of the angles described.

The measure of an angle increased by 24° is equal to the measure of its complement.

The measure of the angle is

Jº and the measure of its complement is

Answers

Answer:

33°90° -J°

Step-by-step explanation:

1)

If x represents the measure of the angle, its complement is 90-x. The problem statement tells us ...

  x +24 = 90 -x

  2x = 66 . . . . . add x-24

  x = 33 . . . . . . divide by 2

The measure of the angle is 33°.

__

2)

Using J for x in the given complement relation:

The measure of the complement of J° is (90 -J)°.

Write the equation of the line graphed below in slope-intercept form.

Answers

Answer:

y=1/2x+3

Step-by-step explanation:

grabbing two points in this case (0,3) and (2,4)

we use the rise over run formula meaning it rises 1 and runs 2 so our slope is 1/2

to get the y intercept just look at where the line touches the y line in this case at 3

using the equation y=mx+b and m is slope and b is y interecpt we plug in the numbers

so we get y=1/2x+3

I am asking how this is when I found the median is 14!

Answers

Hi there!

2  3  5  5  9  11  13  14  14  17  20  22  24  28

If we count up the numbers, we find that there are 14 numbers. This means that we must take the average of the middle two numbers to find a median since the amount of numbers is not odd.

Count 6 from both sides and we get the middle two numbers to be:

13  14  

Take the average:

(13 + 14)/2 = 13.5

**This must be done if the amount of numbers given is EVEN.**

Answer:

Step-by-step explanation:

There are an even number of entries that make up the Data Set. (14 entries)

When you have an even number, you take the two entries that are at the center to find the median.

The values at the middle are entry seven which is 13 and entry eight, which is 14.

Now average these two. You get (13 + 14)/2 = 27 / 2 = 13.5

Otherwise I think you are correct.

A sample of n = 5 scores has M = 20 and s2 = 4. What is the sample standard deviation?

O 20
O 5
02
O 16

Answers

5 I think sorry if I’m wrong

The sample standard deviation is 2. Therefore, the correct answer is option C.

Given that, a sample of n=5 scores has M=20 and s²=4.

The standard deviation is the fundamental measure of data point dispersion from the mean of a given data set. If the data points on a given distribution are more spread out, the standard deviation will be greater. In contrast, if the data points are close together, the standard deviation will be low.

The standard deviation is simply the square root of the variance;

Here, [tex]s=\sqrt{4}[/tex]

[tex]s=2[/tex]

Therefore, the correct answer is option C.

Learn more about the standard deviation visit:

brainly.com/question/13905583.

#SPJ3

Find the surface area of the rectangular prism. 7 m 4 m 5m

Answers

Answer:

A = 2 (wl+hl+hw)=2·(4.7+5·7+5·4)=166

Answer: A=2(wl+hl+hw)=2·(4·7+5·7+5·4)=166

Step-by-step explanation:

All of these statements are true EXCEPT which one?
A.​

Answers

Answer:

Optio a is rhe right one

i m not sure

Answer:

where's the choices

Step-by-step explanation:

complete your question

Graph the solution to the inequality on the number line.

p<20.2
help

Answers

Answer:

it is an open circle on 20.2 and is going to the left

Step-by-step explanation:

I hope this helps :)

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