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

The thickness of a grain of pepper is 2.3 x 10-2 inches. How many inches are 100 grains of pepper? Express your answer in scientific notation.​

Answers

Answer:

230.0 x 1000-200

Step-by-step explanation:

Since one grain of pepper is 2.3x10-2 100 would be 100 times that.

The other option is 32

Answers

Here, CD and DE are equal.Therefore, by the problemCD = DEor, 7a + 11 = 10a + 2or, 10a - 7a = 11 - 2or, 3a = 9or, a = 3Therefore, CD = 7a + 11 = 7(3) + 11 = 21 + 11 = 32

Answer:

32

Hope you could get an idea from here.

Doubt clarification - use comment section.

work out m and c for the line: 5x-3y+4=0

Answers

Answer:

[tex]m = \frac{5}{3}[/tex]  

[tex]b = \frac{4}{3}[/tex]

Step-by-step explanation:

The question requires you to rearrange the equation into the form:

y = mx + c

Which is the straight line equation, meaning rearrange for y:

Add 3y to both sides of the equation:

5x - 3y + 4 = 0

5x - 3y + 4 + 3y = 0 + 3y

5x + 4 = 3y

Divide both sides of the equation to isolate y:

[tex]\frac{5x}{3} + \frac{4}{3} = \frac{3y}{3}[/tex]

[tex]y = \frac{5}{3}x + \frac{4}{3}[/tex]

This means that  [tex]m = \frac{5}{3}[/tex]  and [tex]b = \frac{4}{3}[/tex].

Hope this helps!

Answer:

m = 5/3 and c = 4/3.

Step-by-step explanation:

5x - 3y + 4 = 0

-3y = -5x - 4

y = (-5/-3)x - 4/-3

y = 5/3 x + 4/3

y  = mx    +  c

So m = 5/3 and c = 4/3

Solve the inequality: 4(2x-11) is less than equal to -12 + 2(x-4) No "files" please and also need an explanation

Answers

[tex]4(2x-11) \leq -12 +2(x-4)\\\\\implies 8x - 44 \leq -12 + 2x -8\\\\\implies 8x -44 \leq 2x -20\\\\\implies 4x - 22 \leq x - 10~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 2}]\\\\\implies 4x -22 +22 \leq x -10 +22~~~~~~;[\text{Adding 22 to both sides}]\\\\\implies 4x \leq x+12\\\\\implies 4x -x \leq x+12-x~~~~~~~~~~~~~~~~;[\text{Subtracting x from both sides}]\\\\\implies 3x \leq 12\\\\\implies x \leq 4 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 3}][/tex]

[tex]\text{Interval solution,} ~(-\infty, 4][/tex]

What part of the coordinate plane is equidistant from the points A(-3,2)and B(3,2)?
explain the answer

Answers

It must be B (3, -2) to be equal

rachel got prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 22 cents per yard. If after that purchase there was $19.88 left on the car, how many yards of ribbon did rachel buy.

Answers

Answer:

46 yards.

Step-by-step explanation:

Subtract the new balance from the original balance:

30.00 - 19.88 = 10.12

Therefore, Rachel spent $10.12

Divide the result by the cost of ribbons per yard:

10.12 ÷ 0.22 = 46

Therefore, Racheal bought 46 yeards of ribbon.

Need help ASAP! Directions in picture;)

Answers

Answer:

x+43⁰+52⁰=180⁰ [being triangle]

x⁰+95⁰=180⁰

x⁰=180⁰-95⁰

x⁰=85⁰

what is the slope of y-3=-2(x+5)

Answers

Answer: slope (m) = -2

Step-by-step explanation:

y-3=-2(x+5)

put it into y=mx+b

use PEMDAS-Parantheses, Exponents, Mult. Div. Add. Sub. for your order of operations.

first, parantheses.

-2(x+5)

-2 times x = -2x

-2 times 5 = -10

your new equation is y-3 = -2x-10

now, to get y by itself, cancel out the -3 by adding a positive 3 to both sides.

you final equation will be y=-2x-7

in the form y=mx+b, m is your slope.

therefore, -2 is your answer, or slope.

NEED HELP ASAP PLS ^^
Rearrange this equation
y+x=2

Answers

Answer:

y=-x+2

Step-by-step explanation:

y+x-x=2+x

y=-x+2

h(t)=6 for 7 ≤ t ≤ 8

please i’m really struggling with this :((

Answers

Answer:

thn 6<7<8 is your answer

PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL


A 10 cm cube is built from small cubes, each 1 cm on an edge. Write a ratio that compares the edge lengths of the large and small cubes.
2:1
3:1
11:1
10:1

Answers

Answer:

10:1

Step-by-step explanation:

This ratio is N to n for all answers. (N = Larger than n, n = Smaller than N)

Look at the Larger number. (10)

Look at the Smaller number. (1)

Turn 10 and 1 into a ratio. (10:1)

Navya picked two different numbersfrom set of number cards. 300 is a multiple of both the numbers, Which of these CANNOT be a number she picked?

A. 45
B. 50
C. 60
D. 75

PLS ANSWER ASAP!!! ILL MAKE U BRAINLIEST♡​

Answers

Answer: Choice A)  45

=================================================

Explanation:

Since 300 is a multiple of some number, this means that mystery number is a factor of 300.

So for instance, she could have picked 60 since 60*5 = 300. Or she could have picked 50 because 50*6 = 300.

To find out if you have a factor or not, divide the 300 over each answer choice. If you get a whole number, then it is a factor.

A) 300/45 = 6.67 approximatelyB) 300/50 = 6C) 300/60 = 5D) 300/75 = 4

Choices B through D lead to whole number results, which shows that the numbers 50, 60 and 75 are factors of 300. Flipping things around, this means that 300 is a multiple of 50, 60, and 75.

Only 45 is the one that isn't a factor of 300, which means that 300 is not a multiple of 45.

--------------

Another way to see this is to list out the multiples of 45

45, 90, 135, 180, 225, 270, 315, 360, ...

and we don't land on 300. The closest we get is 315.

In contrast, let's list out the multiples of 50

50, 100, 150, 200, 250, 300, 350, 400, ...

The value 300 is in the list, allowing us to cross off choice B. Choices C and D are similar.

Two angles are supplementary. The measure
of one angle is 9º more than twice the measure
of the other angle. What is the measure of the
smaller angle?

Answers

Answer:

57°

Step-by-step explanation:

Let's assume the measurement of the second angle is x.

so, following the problem

(2x + 9) + x = 180

2x + x = 3x

=> 3x + 9 = 180

=> 3x = 180 - 9

3x = 171

x = 171/3

x = 57°

57° is the smallest angle

Im doing an extra credit assignment and I need someone to help me solve by substitution method
y=x+3
y=2x+5

Answers

Answer:

(-2,1)

Step-by-step explanation:

that is where the two graphs intersect

please help me i will give you a brainlist thingy thanksss

Answers

I could not see the first question so i couldn't answer.

2) Draw a horizontal line and cut it in half with a vertical angle. 4 equal quarters will form. There each quarter is 90° (right angle is exactly 90°angle)

3) Just add the two angles.

x =13+19

x= 32° (Answer)

4) We must know the other angle value in order to find x. So considering both the angles are equal,

2x = 44

x= 22° (Answer)

5) Yes, x = 80° because the line cutted is a straight line and the value of a straight line is 180°

6) Supplementary angles total 180°

Complementary angles total 90°

7)Opposite angles is equal when two straight lines intersect. So,

14x - 16 = 12x + 22

14x-12x=22+16

2x= 38

x= 19° (Answer)

8) Corresponding angles

9) 140°

What is the slope of the line?
I really need help

Answers

You chose two points, (1,2) and (4,4). 4-2=2 and 4-1=3. You divide 2 by 3 and you would get the slope 2/3
(-2,0)(1,2)

Slope

m=(2-0)/1+2m=2/3

At a salad bar, the cost per ounce is
$
0.85
, and the container costs
$
0.25
. Which function represents the total cost of a salad weighing
w
ounces, and what is the total cost,
C
, of a salad weighing
8
ounces?

Answers

Answer:

0.85 × 9.412=8.0002 nearest so 0.25 × 9.421= 2.35525

Step-by-step explanation:

what is the least number of plums that can be shared equally among 6, 9, or 12 children

Answers

3 is the greatest factor among the 3 numbers

what is the x coordinate to the solution for the following system of equations

x = 2y

4x - 3y = 15

Answers

Answer:

x=6

Step-by-step explanation:

x=2y

4x-3y=15

4(2y)-3y=15

8y-3y=15

5y=15

y=3

x=2y

x=2(3)

x=6

Elsa makes a poster that is 1.5 m tall. Greg makes a poster that is 96 cm tall. Who makes a taller poster?

Answers

Answer:

dont mind me just grinding for points

Step-by-step explanation:

A doughnut company finds that its sales are
boosted by advertising according to the
600d
relationship S(d) = where S and d
10+ 0
represent sales and advertising, respectively,
in thousands of dollars. Calculate another
expression for S(d) by performing the
division shown.

Answers

Answer:

Hey will you marry me? serious question

1)
If X= ( 8° - 7n - 1 : n € N )
And
Y = ( 49 ( n - 1 ) : n € N ) then ??


Notes :-
•Don't spam
•Need Genuine Answer
•Don't give copied answer from web .

Answers

Answer:

[tex]to \: know \: the \: answer \: [/tex]

[tex]refer \: to \: the \: above \: attatchment[/tex]

Hope this helps you XD ✌️Carry on learning !!

Triangle HAM is reflected over the y-axis using the rule (x, y) → (−x, y) to create triangle H′A′M′. If a line segment is drawn from point A to point A′, which statement would best describe the line segment drawn in relation to the y-axis?

They create concentric circles.
They are parallel to each other.
The y-axis is a bisector of the segment drawn.
The segment drawn and the y-axis are congruent to each other.

Answers

The statement that best describes the line segment drawn in relation to the y-axis is (c) the y-axis is a bisector of the segment drawn.

The transformation rule is given as:

[tex](x,y) \to (-x,y)[/tex]

When the triangle is reflected to form triangle H'A'M', the vertices of triangle H'A'M' would be:

[tex]H'A'M' = (-x,y)[/tex]

So, the distance from point A to the y-axis is equidistant to the distance from point A' to the y-axis.

This, in other words means that the y-axis bisects the line segment AA'.

Hence, the relation between the segment and the y-axis is (c)

Read more about reflection at:

https://brainly.com/question/1600006

Answer:

C. The y-axis is a bisector of the segment drawn.

Step-by-step explanation:

for brainlist !!!!!!
Your parents decide to build a rectangular pool in your backyard. They determine that the length of the pool should be 15 feet longer than the width.
Your parents put in fencing around the walkway for safety. If 110 feet of fencing is used, what are the dimensions of the pool? Show your work.

Answers

Answer: =20 feet

= 35 feet

Explanation :

let width = a

length = a+15

Now,

2(2w+15)=110

2w=55-15

w=40/2

w=20

HELP!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

y = -1/2x+4

Step-by-step explanation:

y = 2x-1

This equation is in slope intercept form  y = mx+b  where m is the slope

m=2

A line perpendicular will have a slope that is the negative reciprocal

m = -1/2

Using the slope intercept form

y = mx+b

y = -1/2x+b

and the point given (2,3)

3 = -1/2(2)+b

3 = -1+b

4 =b

y = -1/2x+4  is the equation of a line that is perpendicular to the original line and contains (2,3)

Henry bought 9 3/4 pounds of oranges at the market. If the oranges cost $1.20 per pound, how many did Henry pay for the oranges.

Answers

Answer:

Henry payed $ll.70

Step-by-step explanation:

1.20 times 9 3/4 (or 9.75) equals 11.7

In right triangle ABC, m∠B ≠ m∠C. Let sin B = r and cos B = s. What is sin C – cos C?

Answers

Answer:   s - r

==================================================

Explanation:

We'll need these trig ratios

sine = opposite/hypotenusecosine = adjacent/hypotenuse

Refer to the diagram below.

sin(B) = r = r/1 which tells us that the side opposite angle B is r units long. The hypotenuse is 1.

cos(B) = s = s/1 means the adjacent side to angle B is of length s

sides r and s are the two legs of the right triangle.

----------

From that diagram, we can then say:

sin(angle) = opposite/hypotenuse

sin(C) = s/1

sin(C) = s

This is identical to cos(B). We can say cos(B) = sin(C)

Also, we can say:

cos(angle) = adjacent/hypotenuse

cos(C) = r/1

cos(C) = r

So cos(C) = sin(B)

This works because B+C = 90

----------

So,

sin(C) - cos(C) = cos(B) - sin(B) = s - r

The tickets for a dozen children to enter the amusement park cost $330. What was the price per ticket?​

Answers

27.5

Just divide 330 and 12 because 1 dozen is 12!

Answer:

27.5

Step-by-step explanation:

3a + 5b - 4a + 2b = *
7a
23ab
a + b
-a + 7b

Answers

Answer:

-a + 7b

Step-by-step explanation:

This problem is asking you to simplify the equation.

In order to do this, we will combine like terms (like terms are terms that share the same variable and/or exponent).

So we will combine 3a and -4a to get -1a or just -a, and now we'll combine 5b and 2b to get 7b.

So all together we have -a + 7b.

Hope this helps you :)

[tex]\\ \sf\Rrightarrow 3a+5b-4a+2b[/tex]

[tex]\\ \sf\Rrightarrow 3a-4a+5b+2b[/tex]

[tex]\\ \sf\Rrightarrow (3-4)a+(5+2)b[/tex]

[tex]\\ \sf\Rrightarrow -a+7b[/tex]

[tex]\\ \sf\Rrightarrow 7b-a[/tex]

In a certain poultry farm,on average every 8 chickens lay 144 eggs per week.In five weeks the chickens laid 2880 eggs.How many chickens are in the farm? A.18. B.32. C.160. D576​

Answers

Answer:

C

Step-by-step explanation:

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