Rewrite the equation by completing the square.
x? - 8x + 7 = 0
(x + __)^2 = 0

Answers

Answer 1

Answer:

(x - 4)² - 9 = 0

Step-by-step explanation:

x² - 8x + 7 = 0

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² - 8x

x² + 2(- 4)x + 16 - 16 + 7 = 0

(x - 4)² - 9 = 0


Related Questions

What is the total weight of the steel gate

Answers

Answer:

Simple. since we know the weight per given length, we simply need to know the total length of all steel used. the perimeter is easy as it is given, 2×12 and 2×5 for a total perimeter of 24+10 or 34m. now the diagonals must be calculated...

since this is a right triangle, one could easily use a trig function to calculate, but to keep it simple pathag. theorum a2+b2=c2, where the 2 means squared. rearrange to c=sqrt(a2+b2), or 12 squared + 5 squared...giving 144+25=169. then take square rt of 169. this is length of one diagonal, remember to multiply by 2 since there are two diagonal pieces. add this to total perimeter of 34m above.

now that total length is known, simply multiply by weight/m for total weight

**remember units, as problems become complex keeping up with units can help u know if you are using right solving methods, like in heat transfer, energy equations, etc.

ROUND TO THE NEAREST WHOLE NUMBER

16968.3

Answers

Answer:

16968

Step-by-step explanation:

Answer:

16,968

Hope this helps :)

Can some one help me solve this

Answers

Hello mashiamcphee141!

Let's solve for x in the given question.

[tex]\sf\:\frac { x + 3 } { 2 } + \frac { 2 x } { 7 } = 7\\\sf\:7\left(x+3\right)+2\times 2x=98 \\\sf\:7x+21+2\times 2x=98 \\\sf\:11x+21=98 \\\sf\:11x=98-21 \\\sf\:11x=77 \\\sf\:x=\frac{77}{11} \\\boxed{\sf\:x=7 }[/tex]

Steps :-

At first, multiply both sides of the equation by the LCM = 14.Now, simplify the equation using distributive property & other operations. We'll get the value of 'x' as 7.

See the attachment if the working is not clear.

____________

[tex]\mathfrak{Lucazz}[/tex]

Given that:

[{(x+3)/2} + (2x/7)] = 7

Take the LCM of 2 and 7 is 14.

⇛[{7(x+3)+2(2x)}/14] = 7

⇛[{7x+21 + 4x}/14] = 7

⇛[{11x+21}/14] = 7/1

Now,

By using cross multiplication method,we get

⇛1(11x+21) = 7(14)

⇛11x + 21 = 58

⇛11x = 58-21

⇛11x = 37

∴ x = 37/11

Hence, the value of x will be 37/11 respectively.

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Solve the equation- [tex] \frac{5}{x - 3} - \frac{4}{x + 4} = \frac{1}{x} [/tex] He…

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Grafica
Y=X^2.
Y=-x^2.
Y=x^2 +2
Y=X^2-2
Y=2x^2

Answers

Answer:

y=x^2 is a parabola when y is x squared

y=-x^2 is the first one but when it is flipped over the x axis

y=x^2+2 is the first one shifted two up

y=x^2-2 is the third one but shifted 4 units down

y=2x^2 is the first one but two times the square of x

Step-by-step explanation:

What is the slope of the line that passes through the two following points?
(2,-5),(-1,4)

- 1/3
- -1/3
- 3
- -3

Answers

-3 because 4- -5 is 9 and -1 -2 is -3 and if you put 9/-3 you get -3/1 and -3/1 simplified is -3
Hey, so you use y= y2-y1/ x2-x1
y= 4-(-5)/-1-2
y= 9/-3
y= -3

Therefore, the slope of the line is y=-3

What does the y-intercept represent in this situation? The weight of oats, in pounds, in the final mixture. The weight of hay, in pounds in the final mixture. The amount of protein the feed has if no oats are added. The amount of protein the feed has if no hay is added.

Answers

Your welcome!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The y-intercept in the situation given represents: C. The amount of protein the feed has if no oats are added.

What is the Y-intercept of a Linear Function?

The y-intercept of a linear function is the initial value or the value of y when x equals 0.

The initial value in this situation is the amount of protein in the feed when the amount of oats added is 0.

Therefore, the y-intercept represents: C. The amount of protein the feed has if no oats are added.

Learn more about the y-intercept on:

https://brainly.com/question/10700419

#SPJ6

Hey, do you know what 1+1+*6*6*8*7*1 is?

Answers

Answer:

it should be 2017 1+1*6*6*8*7*1


Which table shows the values that would result from using the function machine?

Answers

Answer:

A

Step-by-step explanation:

Evaluate f(2). This gives you 2^2 + 1, which is 5. That eliminates C and D.

f(3) = 3^2 + 1 = 10. This must mean that A is the answer.

simplify:...... (3x⁴)³

Answers

Answer:

27[tex]x^{12}[/tex]

Step-by-step explanation:

Long way:  3x^4)^3 means that 3x^4 will be multiply by itself three times

[tex](3x^{4})^3 = (3x^{4})(3x^{4} )(3x^{4} ) =27x^{12}[/tex]  

Short way   [tex]3^{3}[/tex] ([tex]x^{4(3)}[/tex] ) = 27[tex]x^{12}[/tex]

Answer is right here⬇️

1) x + x + 8x + 12 =​

Answers

☆Answer :

x + x + 8x + 12 = ...

= 2x + 8x + 12

= 10x + 12

~aljabar

x + x + 8x + 12

= 1x + 1x + 8 + 12

= (1 + 1 + 8)x + 12

= 10x + 12 ✔️

:)

Mr. Tanaka is loading his boat with many identical 45-pound boxes. Mr. Tanaka weighs 190 pounds. The boat can carry at most 1,000 pounds. If each box is fully-filled, how many boxes can he load on the boat?
Write an inequality that represents this situation.

Answers

Answer:

there should be 14, 45 pound boxes

Step-by-step explanation:

1000-190= 810

810/45=14 boxes

how many tires would a car factory need to make for 45 cars

Answers

Answer:

180

Step-by-step explanation:

(assuming each car has 4 tires)

45*4= 180

Hope this helps! :)

If i can get 2 bags of Doritos and its 2 for $7.00. How much is for 1 bag of Doritos?

Answers

Answer:

$3.50 for 1 bag

Step-by-step explanation:

To Find How much is for 1 bag of Doritos Divided $7.00 by 2

Which gives you 3.50

Therefore for 1 bag of Doritos = $3.50

pls help will mark as brainlist ​

Answers

A has 12 sides B is 5 sides

Step-by-step explanation:

Answer:

A. 12 B. 5

Step-by-step explanation:

First we will do B.

Interior is 108 degrees Lets make an equation, 108={(n-2)*180}/n

Let's simplify

Now we have 108n=180n-360

180n-108n=360

Now we have 72n=360

n=5.

Now time for the first one.

150={(n-2)*180}/n

150=180n-360

180n-150n=360

30n=360

n=12

It is currently 0°C outside. The temperature is dropping 2.5°C every hour. Identify an inequality that represents the number of hours that must pass for the temperature to drop below −20°C.

Answers

Answer:

-2.5x < -20

Step-by-step explanation:

x represents the number of hours that must pass for the temperature to drop below −20°C.

simplify - 8t + 3r - 7t - 9r

Answers

Answer:

15t+12r

Step-by-step explanation:

you have to do like term like -8t and-7t that is like term so the next like term is 3r and -9r

Help please……………………………..

Answers

Answer:

Diagram number 3 is not a function.

Step-by-step explanation:

It isn't a function because C goes to 2 different numbers.

Answer: Choice (3)

Explanation:

For choice (3), the input C maps to more than one output (The values 1 and 3 at the same time). A function must have each input map to one and only one output. So this is why relation (3) is not a function.

The other answer choices (1), (2) and (4) have each input point to exactly one output. So these are functions that can be ruled out.

what is the degree measure of the missing angle? 84 34 114 24​

Answers

Answer:

24°

Step-by-step explanation:

We are given that m∠EFG is a right angle, and that m∠EFH = 66°

m∠EFH + m∠HFG = m∠EFG

Substitute values and solve.

66 + m∠HFG = 90

m∠HFG = 24°

Complete the expression that represents the prime factorization of 492.



Type the factors in the increasing order.


492 = 2 × 2×
×

Answers

Answer:

The prime factors of 492 are 2, 3, 41.

Step-by-step explanation:

→ 492 = 2 × 2 × ? × ?

→ 492 = 2 × 2 × 3 × 41

Let's check,

→ 492 = (2 × 2) × (3 × 41)

→ 492 = 4 × 123

→ 492 = 492

→ LHS = RHS

Hence, prime factors of 492 are 2, 3, 41.

HELP I WILL GIVE BRAINLEST

Answers

Answer:

the answer is A

Step-by-step explanation:

Sin is for a and in this picture a is y

What is the y-intercept in the equation y = 4x-3?​

Answers

Answer:

-3

Step-by-step explanation:

y = mx + b

b is the y-intercept

Answer:

(0,-3)

This the answer hope this help

The equation y=0.2x models a proportional relationship. Complete the table and graph the data.

Answers

y=0.2x

#0

[tex]\\ \sf\longmapsto y=0.2(0)=0[/tex]

(x,y)=(0,0)

#5

[tex]\\ \sf\longmapsto y=0.2(5)=1[/tex]

(x,y)=(5,1)

#10

[tex]\\ \sf\longmapsto y=0.2(10)=2[/tex]

(x,y)=(10,2)

#15

[tex]\\ \sf\longmapsto y=15(0.2)=3[/tex]

(x,y)=(15,3)

#20

[tex]\\ \sf\longmapsto y=0.2(20)=4[/tex]

(x,y)=(20,4)

Step-by-step explanation:

The given Eqⁿ is, [tex]{ \purple{ \sf{y = 0.2x}}}[/tex]

[tex]{ \star}[/tex]Put x = 0, then

[tex]{ \purple{ \sf{y = 0.2(0) = 0}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y )\: = (0,0)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 5, then

[tex]{ \purple{ \sf{y = 0.2(5) = 1}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (5,1)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 10, then

[tex]{ \purple{ \sf{y = 0.2(10) = 2}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x ,\: y) \: = (10,2)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 15, then

[tex]{ \purple{ \sf{y = 0.2(15) = 3}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (15,3)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 20, then

[tex]{ \purple{ \sf{y = 0.2(20) = 4}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (20,4)}}}}[/tex]

help................................................

Answers

Answer:

C. 16ft by 4ft

Step-by-step explanation:

Find the nth term of this quadratic sequence 4, 7, 12, 19, 28

Answers

Answer:

The answer is 84

Step-by-step explanation:

4,7,12,19,28,39,52,67,84

Find a translation that has the same effect as the composition of translations below. (x,y) → (X + 2, Y + 2) followed by (x,y)=(x-1,y+5)
Choose the correct answer below.
O A. (x,y)=(x+3.y + 7)
OB. (x,y)=(x + 1 y + 7)
OC. (x,y)=(x + 1,y-3)
OD. (x,y)=(X+3.y-3)

urgent will mark brainliest!!! ​

Answers

B) (X + 1, Y + 7)

We start with X + 2, we then take away X - 1, we are left with X + 1.

We start with Y + 2, we then add Y + 5, we are left with Y + 7.

The only option that has both X + 1 and Y + 7 is B.

I hope this helps! :)

8 I am 8 yeard old, my father is24 years older than iam ,how old was my father 5 years ago?​

Answers

Step-by-step explanation:

He was 19 years old when you were 5

8 + 24 = 32

32 - 5 = 27

The area of a triangle is 30sq. the perimeter of the triangle is 10in. write an inequality that represents the missing side of the triangle.

Is it supposed to be 30 divided by 10?

HELP

Answers

Multiply am pretty sure

what kind of cup that doesn't hold water​

Answers

Step-by-step explanation:

cupcake that doesn't hold the water.

If I’m not mistaken it’s hiccup

What is the solution of 2x-5(x-4)=-8+5x-12.

Answers

Answer:

x = 5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Evaluate.

(2a - 3) ÷ (b / 4) when a = 12 and b = - 20

Answers

Answer:

-4.2

Step-by-step explanation:

First me put a and b in

2x12

24

(24 - 3) = 21

b: -20

-20 divided by 4 = -5

21 divided by -5

Answer= -4.2

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