Complete the square of the quadratic equation x^2 - 2x - 35 = 0. What is the vertex of the equation?
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Complete The Square Of The Quadratic Equation X^2 - 2x - 35 = 0. What Is The Vertex Of The Equation?(

Answers

Answer 1

Answer:

Step-by-step explanation:

x^2 - 2x - 35 = 0

Solve for x over the real numbers:

x^2 - 2 x - 35 = 0

Add 35 to both sides:

x^2 - 2 x = 35

Add 1 to both sides:

x^2 - 2 x + 1 = 36

Write the left hand side as a square:

(x - 1)^2 = 36

Take the square root of both sides:

x - 1 = 6 or x - 1 = -6

Add 1 to both sides:

x = 7 or x - 1 = -6

Add 1 to both sides:

Answer:  x = 7 or x = -5  as for the vertex plane curve | Cartesian equation x^2 - 2 x - 35 = 0 | vertex (not a possible affine variety)


Related Questions

Evaluate the expression c5 when c = 3.

Answers

Replace c with 3:

3^5 = 3 x 3 x 3 x 3 x 3 = 243

The answer is 243

Answer:

15

Step-by-step explanation:

c5

3(5)

3 x 5

15

Patty measured the elementary school and made a scale drawing. The scale she used was 7 centimeters = 1 meter
What is the drawing's scale factor?

Simplify your answer and write it as a ratio, using a colon.​

Answers

Write the scale of the drawing as a fraction. Put the shorter length in the numerator.

[tex] \frac{7 \: cm}{1 \: cm} \\ [/tex]

First convert the denominator to the same units as the numerator. Write an equivalent fraction with centimeters in the denominator. Since 1 meter is equal to 100 centimeters, multiply the denominator by 100 to get centimeters in the denominator.

[tex] \frac{7 \: cm}{100 \: cm} = \: \frac{7}{100} \\ [/tex]

Write the scale factor as a ratio, using a colon

7/100   →  7:100

The scale factor is 7:100.

[tex] \\ [/tex]

#CarryOnLearning!

Part B
If Diana spends 25 minutes running at the gym, how many minutes does she spend lifting weights?

Answers

Answer:

please write in the comments ,the total minutes she spent in the gym , then only we can solve the answer , without total minutes we cannot solve this question

Answer:

13 minutes lifting weights.

Step-by-step explanation:

Diana spent a total of 25 minutes and spent 12 more minutes running than she did lifting weights. So if you subtract 25 from 12 you get 13.

A distance of 8.5 kilometers is equivalent to 850 meters.
True
False

Answers

False

Explanation:
1 kilometer = 1,000 meters

Multiply both by 8.5:
8.5 kilometers = 8,500

Have a nice day, hope this helps
Brainliest is appreciated if my answer is
correct!
-SpaceMarsh, have a nice day!

Answer:

true

Step-by-step explanation:

Marathon Digital Movies is having a sale. Customers can download 13 movies for $15.99. How much does each movie cost with the sale?

Answers

Given:

Cost of 13 movies = $15.99

To find:

Cost of each movie

Steps:

Lets assume the cost of each movie as 'x'.

So,

[tex]\frac{15.99}{13} =\frac{x}{1}[/tex]

[tex]1.23 = x[/tex]

[tex]x = $1.23[/tex]

Therefore, the cost of one movie is 1.23 dollars

HAPPY TO HELP :)

If you need more help, feel free to ask

I need help!!!! :))))

Answers

Answer:

A=50.24

Step-by-step explanation:

Your diameter is 8, which makes the radius 4.

The area of a circle is

[tex]A = \pi r^{2} \\A = \pi 4^{2}[/tex]

A=50.24

Complete the following statements using the given histogram. The data in the histogram is . Anabelle was absent on the day of the test and had to make it up the following week. She scored a 60, and her score should be added to bin . The total number of students who scored less than a 70 on the day of the test is .

Answers

Answer:

Step-by-step explanation:

Skewed left

50-60 and 60-70

8

36) In the diagram, the coordinates of endpoints A and B are (-3, 9) and (9,5). Find the length from A to E?

Answers

Step-by-step explanation:

the length of AB = √(9+3)²+(5-9)²

= √144+16=√180 = 6√5

the length from A to E = ⅜× 6√5

= 2.25 √5 or 5.03

Length of AB,

→ √(9+3)² + (5-9)²

→ √144+16

→ √180

→ 6√5

Length from A to E,

→ ⅜ × 6√5

→ 2.25 √5

→ 5.03

Complete the input-output table for the function y=3^x
X Y
-2 1/9
-1 1/3
0 1
1 3
2 9
3 a
4 b
A=?
B=?

Answers

9514 1404 393

Answer:

  A = 27

  B = 81

Step-by-step explanation:

Fill in the x-value and do the arithmetic.

  a = 3^3 = 27

  b = 3^4 = 81

If 4p + 3q + 2r = 3 and -4p - 2q - 2r = 4, then q = ?

(A) 0
(B) 2
(C) 3
(D) 4
(E) 7

Answers

Answer:

E

Step-by-step explanation:

Label the two equations:

4p +3q +2r= 3 -----(1)

-4p -2q -2r= 4 -----(2)

(1) +(2):

4p +3q +2r -4p -2q -2r= 3 +4

Grouping like terms together:

4p -4p +3q -2q +2r -2r= 7

Simplify:

q= 7

The perimeter of a regular hexagon is 18 m. How long is each side? for 15 points

(a normal hexagon normally has 5 sides and they are all the same length )
o 3 m
o 4 m
o 2 m
o 5 m
PICK ONE!

Answers

Answer:

3 m

Step-by-step explanation:

A hexagon has six sides.

3m x 6 = 18 m

The answer is a. 3m

Explanation: because I know its right

Why does that formula make sense?

Answers

According to the trapezoid area formula, the area of a trapezoid is equal to half the product of the height and the sum of the two bases. Area = ½ x (Sum of parallel sides) x (perpendicular distance between the parallel sides).

If helped mark me the brainiest!!

Answer:

Step-by-step explanation:

Draw two lines vertically down from side "A" to "B"...you now have three objects ... to triangles, and one rectangle.... the area of the rectangle is "AH"...now you have two triangles, that have area 1/2 base*height... the height is "H" and the base .... well it is (B-A)/2... so the area of the two triangles are ..... (2)*(1/2)*((B-A)/2)* H.... The total area is .... AH + (2)*(1/2)*((B-A)/2)* H .... 2* 1/2 = 1 so now we have AH +   ((B-A)/2)* H .... to help see this let us write it as AH + H(B-A)/2 .. expand the right H.... AH + BH/2 - AH/2.......

you end up with : AH - AH/2 + AB/2 ...

AH - AH/2 =  AH/2

BH/2 = BH/2

final answer : AH/2 + BH/2

factor out the 1/2 and H ..... 1/2 H (A+B)

Someone help me. PLEASE!

Answers

Answer:

x = 25.7

Step-by-step explanation:

We know the adjacent side to the angle and the hypotenuse on a right triangle

cos theta = adj / hyp

cos 18 = x/27

27 cos 18 =x

25.67852594=x

Rounding to the nearest tenth

x = 25.7

The y-values that a function approaches when the x-values are extremely large or extremely small. This is called the function's ​

Answers

Answer:

end behavior

Step-by-step explanation:

What is the inverse of the function f(x) = 2x + 1?

Answers

Answer:

[tex]f(x)^{-1}=\frac{x-1}{2}[/tex]

Step-by-step explanation:

start by replacing f(x) for y:

y = 2x + 1

switch y and x:

x = 2y+1

solve for x by first subtracting 1 from both sides:

2y = x-1

divide 2 from both sides:

y = [tex]\frac{x - 1}{2}[/tex]

replace y with [tex]f(x)^{-1}[/tex]:

[tex]f(x)^{-1}=\frac{x-1}{2}[/tex]

What does 2x+4y=12 solve for?

Answers

2x+4y=12
divide by 4
0.5x+y=3
format into y=mx+b form
Answer: y=-0.5x+3

Answer:

Hi, there for x it will be x=−2y+6

But if your solving for y it will be [tex]y=-\frac{1}{2}x+3[/tex]

Hope this Helps :)

Step-by-step explanation:

Let's solve for x.

2x+4y=12

Step 1: Add -4y to both sides.

2x+4y+−4y=12+−4y

2x=−4y+12

Step 2: Divide both sides by 2.

[tex]\frac{2x}{2}=\frac{-4y+12}{2}[/tex]

x=−2y+6

2.

Let's solve for y.

2x+4y=12

Step 1: Add -2x to both sides.

2x+4y+−2x=12+−2x

4y=−2x+12

Step 2: Divide both sides by 4

[tex]\frac{4y}{4} =\frac{-2x+12}{4}[/tex]

[tex]y=-\frac{1}{2} x+3[/tex]

A pyramid is 24ft tall. A scall model has a height of 2 ft and is 1 foot wide at the base. Identify the scale factor that was used to create the model

Answers

Answer:

1 : 12

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

24/2 = 12

1 : 12

describe how the graph of each function is related to the graph of f(x)=x^2
g(x)= -10 + x^2

Answers

Answer:

Translation down 5 units.

Step-by-step explanation:

The - 5 results in a shift of the whole graph down 5 units.

Each value of g(x) is 5 units less f(x).

Please help me find the answer

Answers

The answer is “1.49”

Explanation:

substitute 42 into θ

cot (42) sec (42) = csc (42) or 1.49447654

Round to two decimal places and that gives you “1.49”

I really need help with b and c

Answers

Answer:

Step-by-step explanation:

I dont know which b and c you are talking about, so...

3) b) 8, c) 19

4) b) 10, c) 16

Hope its helps u

Thank You

Please mark as brainliest

Jack had 3bags of golf balls with b balls in each bag; then his friend gave him 6 more golf balls. How many golf balls does Jack have now?

Answers

Answer:

3(b+2)balls

Step-by-step explanation:

Given data

number of bags of golf balls= 3

number of balls in each bag=b

total number of balls in all three bags= 3b

His friend gave him 6 more= 3b+6

Hence the total balls is = 3b+6

= 3(b+2)balls

4+(-7)-(-3) What will be the answer ?

Answers

=0 just need points tho lol

50 points. Can anyone help me. If you can show me how you did it for the assgnment.

Answers

Answer: in picture

Step-by-step explanation:

Sorry if I got something wrong

If I have a right triangle ab=12 and ac=15 what is BC

Answers

Answer:

9

Step-by-step explanation:

B²=H²-P²

B²=15²-12²

B²=81

√B=9

therefore it's 9

What is the slope of the line? 4x-1=3y+54x−1=3y+54, x, minus, 1, equals, 3, y, plus, 5 Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac23 3 2 ​ start fraction, 2, divided by, 3, end fraction (Choice B) B \dfrac34 4 3 ​ start fraction, 3, divided by, 4, end fraction (Choice C) C \dfrac32 2 3 ​ start fraction, 3, divided by, 2, end fraction (Choice D) D \dfrac43 3 4 ​

Answers

Answer:

Slope of the line, m = 4/3

Step-by-step explanation:

Given;

4x - 1 = 3y + 5

Make y the subject

4x - 1 = 3y + 5

4x - 3y = 5 + 1

4x - 3y = 6

-3y = 6 - 4x

Divide both sides by -3

y = (6 - 4x) / -3

y = -2 + 4/3x

Slope intercept form is given by

y = mx + b

Where,

m = slope

y = - 2 + 4/3x

m = 4/3

Slope of the line, m = 4/3

Answer:

Above answer is INCORRECT.

The CORRECT answer is 2/3

Step-by-step explanation:

Which pairs of angles in the figure below are vertical angles?
Check all that apply

Answers

Answer:

[see below]

Step-by-step explanation:

Vertical angles are simply opposite angles that are made from intersecting lines.

The most appropriate pairs would be vertical pairs:

∠NSI and ∠TSW

∠NST and ∠ISW

The angles are opposite of each other and formed from the two lines.

Hope this helps.

I don’t understand help

Answers

You can see that the MNO triangle is similar to MKL  then  [tex]\displsystyle\ \frac{NO}{KL} =\frac{x}{ML} => \frac{12}{22} =\frac{x}{27,5} => x=\frac{12\cdot 27,5}{22} =15[/tex]                                                                  [tex]\displaystyle\ Answer: \boxed{x=15}[/tex]

 

The diagram shows a triangle ABC in which AB= 6 cm, BC=8 cm and ABC = 90°.
Calculate the length of AC.

The answer should be 12. please help with explanation and calculation!!!

Answers

Answer:

AC = 10

Step-by-step explanation:

This is a right triangle

use the pythagorean theorem

a² + b² = c²

6² + 8² = c²

36 + 64 = c²

100 = c²

Take the square root of both sides

10 = c

AC = 10

The correct answer is 10 not 12

Stacy invited six friends to her 5th birthday party. How many ways can Stacy's mom arrange the
children around the table for cupcakes and ice cream?
(Answer with no decimals)

Answers

Answer:

120 ways

Step-by-step explanation:

Here, we are looking at arranging around a table

To do this, we sit down one of the children and arrange the remaining around the one that we have sat down

In scenario like this, the number of possible arrangement ways will be;

(n-1)! ways

where n is the number of children which is 6 in this case

So the possible number of ways will be;

(6-1)! = 5! = 120 ways

Find measure of angles B, E, D and C and the length of BC.


Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.

Answers

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

Answer:

<D = 30

< C = 65

<B = <E = 85

16 = BC

Step-by-step explanation:

ABC ~ Triangle DEF

<A = <D = 30

< C = <F = 65

Since they are similar triangles

A+ C + B = 180 since the angles of a triangle = 180

30+65+B =180

95+ B = 180

<B = 180 -95 = 85

<B = <E = 85

The triangles are similar so the sides are proportional

AB      BC

----  = ---------

DE      EF

20      BC

----  = ---------

35      28

Using cross products

20*28 = 35 BC

Divide each side by 35

20*28/35 = 35/35 BC

16 = BC

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