Mathematics High School

what is the intermediate step in form (x+a)^2=b as a result of completing the square of the following equation
6x^2+72x-170=-2

What Is The Intermediate Step In Form (x+a)^2=b As A Result Of Completing The Square Of The Following

Answers

Answer 1

Answer:

6x² + 72x - 170 = -2

<=> 6x² + 72x - 168 = 0

<=> x² + 12x - 28 = 0

<=> x² + 12x + 36 = 64

<=> (x+6)² = 64

Step-by-step explanation:

Related Questions

(X^3-3x^2+5x-3)/ (x-1)

Answers

Answer:

x^2-2x+3

Step-by-step explanation:

WHOEVER ANSWERS CORRECTLY GETS BRAINLIEST AND EXTRA POINTS (;
Pentagon ABCDE is a regular polygon. The length of side BC is represented by 3x - 4. The length of side DE is represented by the expression 4x - 9. Find the length of side AB.

Answers

Answer:

3x_4

Step-by-step explanation:

AB is parallel to BC


3. Is the relation {(1,2), (3, 10), (2,8), (5,
10)} a function?
a) yes
b) no
a

Answers

Answer:

the answer is yes

Step-by-step explanation:

Savvas Realize
Alabama has 140 legislators, for 4 million people. If another state has 12 million people living in it, how many legislators would it have? How do you know?

Answers

Answer: 420 legislators

Step-by-step explanation:

For this problem, we would have to multiply.

If Alabama has 140 legislators for 4 million people, we know the unit rate is:

[tex]140[/tex] legislators for [tex]4[/tex] million people.

So, we have to multiply 140 by 3 because 12 is 3 times the amount of 4, and the other state has 12 million people.

140 x 3 = 420

The answer to the question would be 420.

Answer:

420

Step-by-step explanation:

I set this up as a proportion of 140/4,000,000=x/12,000,000. Then you can cross multiply, getting 1,680,000,000=4,000,000x. Divide both sides by 4,000,000 and you get x=420. Please mark brainliest if this helped!

a treat for all my hard workers!

Answers

Answer:

thx

for the points

Step-by-step explanation:

Answers: Ice cream party, What ever you want day,Part of the day Pizza

with one question helps i just don’t understand how to do it!!

Answers

Answer:

c(0)=1.5

Step-by-step explanation:

plug it in as x

c(0)=2.5(0)+1.5

c(0)=1.5

The employee e-mail accounts in one company are using a mean of
1.07
1.071, point, 07 gigabytes of memory with a standard deviation of
0.21
0.210, point, 21 gigabytes.
What will be the mean and standard deviation of the distribution of memory usage in megabytes?
1
11 gigabyte equals
1024
10241024 megabytes.

Answers

Answer:

Mean: 1096 megabytes

Standard deviation: 215 megabytes

YO CORRECT ANSWER FOR BRAINLIEST AND 45 POINTS

Answers

Answer: NO SOLUTION

This equation has no solution

ƒ2 + 8 if ƒ = 7? Please help, LOL.

Answers

Answer:

24

Step-by-step explanation:

If f is equal to 7, you'd multiply 7 by 2 (following pemdas/gemdas). When you multiply those two numbers, you get 14. If you add 8 to 14 you get 24.

Simplify each expression
-3m + 16 - (-13m)
15y - 20y + 15

Answers

Answer:

10m + 16

-5y + 15

Step-by-step explanation:

-3m + 16 - (-13m) =

= -3m + 16 + 13m

= 10m + 16

15y - 20y + 15 =

= -5y + 15

Angle QRS has a measure of 35°. Triangle QRS is rotated 90° clockwise about point R to create angle Q'R'S. What is the measure of angle Q'R'S?
PLEASE ANSWER URGENT

Answers

Answer:

The measure of angle Q'R'S' is 35°

Step-by-step explanation:

The given parameters are;

The measure of angle QRS = 35°

The transformation applied to triangle QRS = 90° clockwise rotation

For a 90° clockwise rotation, we have;

Coordinate of the preimage (x, y), coordinate of the image after rotation (y, -x)

Given that the distance, d, between points is given by √((x₂ - x₁)² + (y₂ - y₁)²), we have that the distance between points of the image will be given as follows;

d' =√((y₂ - y₁)² + ((-x₂) - (-x₁))²) = √((y₂ - y₁)² + (x₁ - x₂)²)

Whereby we have √((y₂ - y₁)² + (x₁ - x₂)²) = √((x₂ - x₁)² + (y₂ - y₁)²)

Therefore, d = d' and the length of the sides and measures of the angles in ∠QRS and ∠Q'R'S' will be equal and ∠Q'R'S' = ∠QRS = 35°.

Please help!!! Question is a picture

Answers

Answer:

c a b hope it helps.

Step-by-step explanation:

please answer this friends​

Answers

Answer: 6/9

Step-by-step explanation:

1) 2/3 + 3/4=5/7

2) 1/2+5/7=6/9

3) Did this help

WILL GIVE BRAINLIST!!!!! Select the correct answer. Which graph represents this function? f (x) = 1/2x -5 A. B. C. D.

Answers

Answer:

B

Step-by-step explanation:

The y-int. is -5 like the equation and the slope is positive

WILL MARK BRAINLIEST!!! Can someone help me wit dis question?

Given y = 9x - 4, what is the y-intercept?

a.) 4
b.) -4
c.) 9

Answers

Answer:

B.) -4

Step-by-step explanation:

y=mx+b

b is equal to the y-intercept.

Answer:

-4

Step-by-step explanation:

The slope intercept form is y = mx + b.

m = slope

b = y-intercept

since b = -4, the y-intercept is -4

Based on the results of the simulation, if Sally's name is represented by diamonds, what is the probability that Sally will win
the free homework pass?
A.52%
B. 24%
C. 8%
D.16%

Answers

Answer:

Step-by-step explanation:

If she's represented by diamonds, then that's 2/25 which is 8%, C

Answer:

Step-by-step explanation:

8%

factorise by grouping method
(ax + by)^2 + (bx-ay)^2​

Answers

Answer:

its (b^2+a^2) (x^2+y^2)

Tuition for one year at the University of Houston is about $12,300 Azul plans to attend this university and will save money each month for the next 4 years. His parents have saved 54,860 for his first year of
tuition. Which plan shows the amount of money Azul will need to save in order to pay for his first year at the University of Houston?

(Answer Choices)

Azul will need to save $256 25 per month for the next 4 years

Azul will need to save $1,860 per month for the next 4 years.

Azul will need to save $620 per month for the next 4 years.


Azul will need to save $155 per month for the next 4 years

Answers

I have. I clue answer choices

can someone please help me with this question and show how you figured it out please. ill give brainlyest

Answers

Answer:

all real numbers

Step-by-step explanation:

It gives me 0

Ally ran 5 miles in 36 minutes. If Ally runs at the same rate, how long would it take her to run 1 mile?

Answers

Answer:

7.2 Minutes

Step-by-step explanation:

Use Ratios

Miles : Minutes

5:36

Divide Both Sides By 5

1:7.2

It will Take Ally 7.2 Minutes To Run 1 Mile

It would take ally 7.2 to run 1 mile

Solve the equation
x2 + 4x - 7 = 0
by completing the square.
Give your answers correct to 2 decimal places.

Answers

Answer:

x ≈ 1.32, x ≈ - 5.32

Step-by-step explanation:

Given

x² + 4x - 7 = 0 ( add 7 to both sides )

x² + 4x = 7

To complete the square

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

x² + 2(2)x + 4 = 7 + 4

(x + 2)² = 11 ( take the square root of both sides )

x + 2 = ± [tex]\sqrt11}[/tex] ( subtract 2 from both sides )

x = - 2 ± [tex]\sqrt{11}[/tex]

Thus

x = - 2 - [tex]\sqrt{11}[/tex] ≈ - 5.32 ( to 2 dec. places )

x = - 2 + [tex]\sqrt{11}[/tex] ≈ 1.32 ( to 2 dec. places )

2x(5x3)
Answer please??

Answers

is 16 or 30 lol

Step-by-step explanation:

....................

You need to follow the order of operations, so you would solve what is in the parentheses first. (I'm assuming that is the variable x in 2x and not a multiplication symbol. If it is, then just multiply 5 by 3 to get 15, and then multiply that by 2 to get 30) This will give you 15. Then you multiply 2x by 15 to get 30x.

Ill brainlist you plus give you more points if needed I have atleast 40 somthing after this

Answers

Answer:

I think its 1/6

Step-by-step explanation:

cause there are six numbers so the probility is out of six

that could be wrong not 100% sure its been a while  

Answer: B

Step-by-step explanation:

Austin is planning a canoe trip with his dad and brother. They are taking a cooler and a few supplies that weigh a total of 89 pounds with them. The canoe has a maximum weight limit of 765 pounds. Which inequality can be used to find , the average allowable weight in pounds for each person in the canoe?

A. 3p - 89 > 765

B. 3p - 89 765

C. 3p + 89 > 765

D. 3p + 89 < 765

Answers

Answer:

3p + 89 < 765

Correct answer: D.

Step-by-step explanation:

Austin, his dad, and brother make a group of three people of varying weights. Assume their average weight is p and their total weight 3p.

The cooler and other supplies weigh 89 pounds in total.

The weight of the supplies and the three people in the canoe should not be equal or exceed the maximum allowable weight of the canoe of 765 pounds.

This leads to inequality:

3p + 89 < 765

Correct answer: D.

What is it and plz plz explain i need help asap! ty<3​

Answers

Answer:

r = -14

Step-by-step explanation:

22 = r/7 + 24 <-- try and isolate r

22-24 = r/7

-2 = r/7

-2(7) = r

r = -14

Answer:

-14

Step-by-step explanation:

subtract 24 on both sides

-2=r/7

-14=r

Find m∠E PLEASE HELP WILL AWARD BRAINLIEST!
a. 50 degrees
b. 65 degrees
c. 34 degrees
d. 40 degrees
please dont write skmssmskandm

Answers

Answer:

b (if def d)

Step-by-step explanation:

the sum of two edges that are side by side is equal to the edge that is not adjacent

25+8x=13x

25=13x-8x

25=5x

5=x

efv=13.5=65

answer b

if def,

8.5=40

answer d

(and pls look my last question pls)

What is the slope of the line that contains the points (-2, 2) and (3, 4)?
A.
O B. -
O c.
OD.

Answers

Answer:  m = 2/5

Step-by-step explanation:

The formula for the slope is m = rise over run = y^2 - y^1 / x^2 - x^2

which makes it 4-2 over 3-(-2) which equals 2/5

Youre answer is 2/5

Answer:

The slope of the line that contains the points (-2, 2) and (3, 4) is 2/5.

Step-by-step explanation:

The slope of a line is denoted by m and is calculated using the formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Here

[tex](x_1,y_1)[/tex] are the coordinates of the first point on line and

[tex](x_2,y_2)[/tex] are the coordinates of the second point on line

Given two points are:

(x1,y1) = (-2, 2)

(x2,y2) =(3, 4)

Putting the values in the formula

[tex]m = \frac{4-2}{3-(-2)}\\m = \frac{2}{3+2}\\m=\frac{2}{5}[/tex]

Hence,

The slope of the line that contains the points (-2, 2) and (3, 4) is 2/5.

Find the value of c that completes the square

x^2-16x+c

Please help me with how to do this, and show me. Thank you.

Answers

Answer:

The value that completes the square is: c=8

Step-by-step explanation:

Find the value of c that completes the square  [tex]x^2-16x+c[/tex]

The formula used is: [tex]a^2-2ab+b^2=(a-b)^2[/tex]

In the question given the value c can be found by breaking the middle term. we are given -16x while the general formula is 2ab for middle term so,

2(x)(8) = 16x

so, c= 8

Solving:

[tex]x^2-16x+c\\=x^2-2(x)(8)+(8)^2-(8)^2\\=(x-8)^2-64[/tex]

So, the value that completes the square is: c=8

What is the perimeter of the rectangle?
60 feet
50 feet

Answers

Answer:

220

Step-by-step explanation:

perimeter is the sum of all sides

p= 60+60+50+50

p=220

Step-by-step explanation:

Perimeter = 2(length *width)

[tex]2(50 + 60) \\ \\ = 2 \times 110 \\ \\ = 220[/tex]

A squirrel jumps along the number line. Each of its jumps is 5 units long. The squirrel sometimes jumps to the right and sometimes to the left. It starts at point 6. Can it land at this point? (The point is 101)

Answers

9514 1404 393

Answer:

  yes

Step-by-step explanation:

For some integer n, the squirrel lands on numbers that are ...

  5n +6

We want to see if n is an integer when ...

  5n +6 = 101

  5n = 95

  n = 19 . . . . yes, an integral number of jumps will get the squirrel to 101

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