Rewrite x2 − 2x − 3 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.
A. a = 4 and b = 3
B. a = 3 and b = 2
C. a = 2 and b = 1
D. a = 1 and b = 4

Answer:

12 units

Step-by-step explanation:

(4, 7) and (4, -5)

7-(-5)=12

4-4=0

Answer:

Parent function:
[tex]x^2+y^2=r^2[/tex]
General equation:
[tex](x-h)^2+(x-k)^2=r^2[/tex]
Transformations:
Its a circle with a center of (100,60) and a radius of 15

Answer:

1=6

Step-by-step explanation:

Divide both sides of the equation by the same term

1=6

Part A

I'm assuming you want the area of a circle with radius 17 yards.

We'll use the formula below

A = pi*r^2

A = (22/7)*17^2

A = (22*17^2)/7

A = 6358/7

A = 908  2/7

The sprinkler covers an area of about 908  2/7 square yards.

You'll type 908 in the left-most box

Then for the other two boxes, you'll have 2 up top and 7 down below to represent the fraction 2/7

The number 908  2/7 is a mixed number.

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

Part B

You mentioned that the radius reduces to 11 yards here. We'll use the same formula as above and pi = 22/7 approximately

A = pi*r^2

A = (22/7)*11^2

A = (22*11^2)/7

A = 2662/7

A = 380  2/7

The sprinklers can water an area of about  380  2/7  square yards.

This value is also a mixed number

380 is the value in the left most box (it's the whole part)

The other two boxes are filled out the same exact way as the previous part above.

Answer:

it's 1 L

Step-by-step explanation:

it's pretty easy just do some multiplication

Answer:

As a fraction it would be 4.5

Step-by-step explanation:

3/4 × 6 = 92 = 4 12 = 4.5

Answer:

no

Step-by-step explanation:

using the converse of Pythagoras' identity

If the square on the longest side is equal to the sum of the squares of the other 2 sides, then the triangle is right.

longest side = 50 ⇒ 50² = 2500

16² + 14² = 256 + 196 = 452

since 452 ≠ 2500 then the triangle is not right

A triangle has sides of lengths 16,14 and 50. Is the triangle right angle triangle?

We will solve this question using Pythagoras theorem.

We know,

[tex] \small \boxed{\rm{ c² = a² + b²}}[/tex]

[tex] \small\rm{Where,} [/tex] [tex]\small\sf{ c > a \: and \: c > b}[/tex]

[tex] \small\sf{ 50² = 16² + 14²}[/tex]

[tex]2500 = 256+ 196[/tex]

[tex]2500≠452[/tex]

[tex] \small\bf{ c² ≠ a² + b²}[/tex]

Hence, the triangle is not a right-angled triangle.

Answer:

Answer = 157

Step-by-step explanation:

The formula to finding the volume of a cone is h(pi)(r^2)/3. We know that the height is 6 and the base is 10. This means that the radius is 5 because it is 1/2 of the base. Now we plug in our numbers into the equation and get 157!

Hope that helps! :)

Answer:

72

Step-by-step explanation:

If he reads 24 pages in 1/3 of an hour, he reads 3 times as many pages in 1 hour.

3 × 24 pages = 72 pages

Answer: 72

Answer:

The Answer is 18

Hope this helps! :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

16, 18, 23, 25, 26, 34, 37, 37, 40, 41, 46

( 16 + 18 + 23 + 25 + 26 + 34 + 37 + 37 + 40 + 41 + 46 ) ÷ 11 = 31.181818...

mean ≈ 31

median = 34

mode = 37

Answer:

The answer is -3/2.

Answer:

The new function is

[tex]g(x) = {2}^{x + 3} - 2[/tex]

Answer:

29 feet

Step-by-step explanation:

20^2 + 21^2 = 841

841sqrt = 29 feet

Answer:

b) [tex]f^{-1}(x) = \frac{4x+5}{3}[/tex]

Step-by-step explanation:

b) To find the inverse function, switch the [tex]x[/tex] and [tex]y[/tex] variables and solve for [tex]y[/tex]:

[tex]f(x) = \frac{3x-5}{4}\\y = \frac{3x-5}{4}\\x = \frac{3y-5}{4}\\4x = 3y-5\\4x+5 = 3y\\\frac{4x+5}{3} = y\\f^{-1}(x) = \frac{4x+5}{3}[/tex]

Verify Answer:

[tex]f(1) = \frac{3(1)-5}{4} = -0.5\\f^{-1}(-0.5) = \frac{4(-0.5)+5}{3} = 1[/tex]

Answer:

  D = {-3, -2, -1, 1, 4}

  R = {-5, -1, 0, 2}

Step-by-step explanation:

You have correctly described the process of finding the domain and range by the way you filled in the blanks at the top of the sheet.

__

The domain is the set of x-values of the points on the graph:

  D = {-3, -2, -1, 1, 4}

The range is the set of (unique) y-values of the points on the graph:

  R = {-5, -1, 0, 2}

The supplement of each interior angle has measure

180° - 165° = 15°

and so

n = 360°/15° = 24

since the exterior angles add up to 360° and are all congruent.

Answer:

the answer is (6,5) pls mark brainest

Answer:

The answer is D.) (6,5)

Step-by-step explanation:

When the first point goes right, you add it, and when the second point goes down, you subtract it

Answer:

Step-by-step explanation:

One winter day, the temperature at noon was -9°F.

The temperature then rose by ​1/2 degree each hour for 3 hours:

The temperature then dropped by 2 1/4 degrees each hour for 2 hours:

Now add up all three values to find the final value:

Answer:

105 units²

Step-by-step explanation:

Area of triangle = ½bh

b = 11 + 4

b = 15

A = 2(½15(7))

2 and ½ cancel

A = 15(7)

A = 105 units²

The value of x in the equation is 25

The equation is given as;

[tex]-3 + \sqrt{3x - 11} = 5[/tex]

Add 3 to both sides

[tex]\sqrt{3x - 11} = 8[/tex]

Take the square of both sides

3x- 11 = 64

Add 11 to both sides

3x = 75

Divide both sides by 3

x = 25

Hence, the value of x in the equation is 25

Read more about equations at:

https://brainly.com/question/2972832

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Answer:

The axis of Symmetry divides a line into two equal halves.

Step-by-step explanation

An easy relation to get this value without plotting a graph is x = –b/2a

Where

a = coefficient of x²

b = coefficient of x

From the Question, We need a symmetry of value –½

The only Option that'll give this value is OPTION D

2x – y = 5 – 2x²

Since its a line, Don't forget to make "y" subject before doing any operation.

y = 2x² + 2x – 5

a = 2

b= 2

x = –(2)/2(2)

= –2/4

= –½

Answer:

10.308

Sure hope this helps you

Answer:

[tex]8(156 \times 1.1) + 12(156 \times 1.2) [/tex]

Answer:

A

Step-by-step explanation:

The answer is A because the point intercepts at (2,7), and answer A has the points (2,7) in it's answer.

Answer:

go down then go right

Step-by-step explanation:

The point-slope form the line which has the value of slope -5 and contains a point as A(2,-1) is (y+1)=-5(x-2).

The point slope  form of a line is the expression of line which has a specified slope and passes through a point.

The point slope form is givne as,

(y-y₁)=m(x-x₁)

Here, m is the slope of the line, x₁ is the x coordinate of the point by which line passes and y₁ is the y coordinate of the same point.

The slope of a line is -5. This line contains the point A (2,-1). Thus, the point slope form is,

(y-y₁)=m(x-x₁)

(y-(-1))=-5(x-2)

(y+1)=-5(x-2)

Thus, the point-slope form the line which has the value of slope -5 and contains a point as A(2,-1) is (y+1)=-5(x-2).

Learn more about the point slope form here;

https://brainly.com/question/6497976

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Answer:

A. B and D are functions

Step-by-step explanation:

Functions are either one-to-one or many-to one    (x-value --> y value)

C is not a function because   -3  (x) maps to 1 and also to 0 (y).