4) Find the measure of angle b

Answer:

Step-by-step explanation:

here x1=0   y1=-2   x2=-6    y2=4

slope=y2-y1/x2-x1

=4-(-2)/-6-0

=4+2/-6

=6/-6

=-1

therefore slope=-1.

Answer:

Its D

Step-by-step explanation:

Answer:

[tex]y = (x - 3)^2 - 12[/tex]

[tex](3,-12)[/tex]

Step-by-step explanation:

Given

[tex]y = x^2 - 6x - 3[/tex]

Solving (a): In vertex form

The vertex form of an equation is:

[tex]y = a(x - h)^2 + k[/tex]

To do this, we make use of completing the square method.

We have:

[tex]y = x^2 - 6x - 3[/tex]

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

Take the coefficient of x (i.e. -6)

Divide by 2; -6/2 = -3

Square it: (-3)^2 = 9

Add and subtract the result to the equation

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

[tex]y = x^2 - 6x - 3[/tex]

[tex]y = x^2 - 6x + 9 - 9 - 3[/tex]

[tex]y = x^2 - 6x + 9 - 12[/tex]

Factorize [tex]x^2 - 6x + 9[/tex]

[tex]y = x^2 - 3x-3x + 9 - 12[/tex]

[tex]y = x(x - 3)-3(x - 3) - 12[/tex]

Factor out x - 3

[tex]y = (x - 3)(x - 3) - 12[/tex]

Express as squares

[tex]y = (x - 3)^2 - 12[/tex]

Hence, the vertex form of [tex]y = x^2 - 6x - 3[/tex] is: [tex]y = (x - 3)^2 - 12[/tex]

Solving (b): State the coordinates of the vertex.

In [tex]y = a(x - h)^2 + k[/tex]; the vertex is: (h,k)

The vertex of [tex]y = (x - 3)^2 - 12[/tex] will be [tex](3,-12)[/tex]

Answer: 278.18

sorry if it's wrong

Step-by-step explanation: if you divide 255 by 11 you get 23.18181818181

so if you simplify you get 23.18 so that is the tax plus the original payment which is 278.18

Answer: The correct answer is $566.10

Step-by-step explanation: IXL

Answer:

23.56 length units

Step-by-step explanation:

To calculate the perimeter of a triangle, we need to calculate the length of all the sides, then sum up the lengths.

To calculate each side, we take the differences of the coordinates of consecutive vertices, square, add, and take square-root (Pythagoras theorem).

Side 1: (3,-2), (5, -8)

difference in coordinates=(2,-6), length=sqrt(2^2+6^2) = sqrt(40)

Side 2: (5, -8), (-2,1)

difference in coordinates=(7,-9), length=sqrt(7^2+9^2) = sqrt(130)

Side 2: (-2,1), (3,-2)

difference in coordinates=(5,-3), length=sqrt(5^2+3^2) = sqrt(34)

Perimeter

= sum of sides

= sqrt(40)+sqrt(130)+sqrt(34)

= 6.32+11.40+5.83

= 23.56 approximately

Answer:

∠1 = 180° - 123° = 57°

∠2 = 180° - 57° - 48° = 75°

∠3 = 180° - 123° - 13° = 44°

Answer:

2

[tex]m < 1 = 180 \degree - 123\degree \\ = 57\degree[/tex]

3

[tex]m < 2 = 180\degree - 57\degree - 48\degree \\ = 75\degree[/tex]

4

[tex]m < 3 = 180\degree - 123\degree - 13\degree \\ = 44\degree[/tex]

Answer:

x=5, y=11

Step-by-step explanation:

> sum of interior angles of a polygon is (n-2)·180°, where n-is the number of sides, so our rhombus has sum of angles =(4-2)·180° =360°

>we know that the opposite angles are congruent so ...

>we have the sum of interior angles is

108+108+7y-5+7y-5 = 360, combine like terms

14y +206 =360, subtract 206 from both sides

14y = 154, divide both sides by 14

y= 11

>the sides are congruent therefore

4x+17 = 8x-3 , subtract 4x, and add 3 from both sides

17+3 =8x-4x, combine like terms

20 = 4x , divide by 4 both sides

5 =x

Answer:

180

Step-by-step explanation:

30 = 2 x 3 x 5

45 = 3^2 x 5

60 = 2^2 x 3 x 5

90 = 2 x 3^2 x 5

LCM ( 30, 45, 60, 90 )

= 2^2 x 3^2 x 5

= 4 x 9 x 5

= 180

Answer:

A

Step-by-step explanation:

c and d cannot be since the answer to sqrt((900f^6)/(100g^4)) is 3f³/g²

and not 30f something.

the best answer I see is correct is a.

Answer:

Step-by-step explanation:

5 red

3 blue

6 white

2 green

total 16 marbles.

Note: P(E) = probability of event E happening

P(~E) = probability of event E NOT happening.

We usually leave probabilities in fractions whenever possible because they will not be subject to round-off errors.

A. choose one marble at random.

P(W) = 6 white / 16 total = 3/8

B. choose one marble at random.

P(~R) = (16-5)/16 = 11/16

C. choose one marble at random, then a second one without replacement,

there will be 3 blue out of 16 at the beginning, then if successful, there will be 2 blue out of 15.

P(BB) = (3/16)*(2/15) = 1 / 40

D. choose two with replacement

5 red out of 16 for first draw, still 5 red out of 16 for second draw.

P(RR) = (5/16)^2 = 25/256

Answer:

x =145/129

Step-by-step explanation:

129x-33=112

Add 33 to each side

129x-33+33=112+33

129x = 145

Divide each side by 129

129x/129 = 145/129

x =145/129

Answer:

length of each side=√81

=9 cm

Answer:

9cm

Step-by-step explanation:

a square has 4 equal sides, so to find out the area you do width x height

the area is 81cm², which means that the side length is 9cm as 9 x 9 = 81

hope this helps :)

The equation can be used to find the number of times Maria hiked each trail is 5x + 10y = 90

let

5x + 10y = 90

Therefore, the equation to represent the number of times Maria hiked each trail is 5x + 10y = 90

Learn more about equation:

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Answer:

5x + 10y = 90

Step-by-step explanation:

[tex] 4 {x}^{2} + 20x + 16[/tex]

Step-by-step explanation:

[tex](2x + 8)(2x + 2) \\ = 2x(2x + 2) + 8(2x + 2) \\ = 4 {x}^{2} + 4x + 16x + 16 \\ = 4 {x}^{2} + 20x + 16[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

The role of ABCD is two determine the points of the figure.

Answer:

Step-by-step explanation:

f(9)=5(9-3)(9-2)

=5*6*7

=210

Answer:

f(9) = 210

Step-by-step explanation:

In f(x) = 5(x-3)(x-2), replace each instance of x with 9:

f(9) = 5(9-3)(9-2), or:

       =5(6)(7) = 210

Pick the last choice.

Please mark brainliest, I had to give go ogle a bj for this answer.

x-intercept (-40,0)

y-intercept (0,15)

Answer:

x intercept (-40,0)

y intercept (0,15)

Step-by-step explanation:

the point where a line cuts an axis (X or Y) is called the intercept of that axis.

Answer: 7238.2[tex]ft^3[/tex]

Step-by-step explanation:

The formula for a sphere's volume is  [tex]V=\frac{4}{3} \pi r^3[/tex].

Substitute r = 12 in the formula: [tex]V=\frac{4}{3} \pi (12)^3[/tex]

Then calculate (type the right side of the equation above in your calculator), and you will get an answer of 2304π. When you simplify further, you get 7238.22947. Rounded to the nearest tenth, it is 7238.2.

∴, the volume of the sphere is 7238.2[tex]ft^3[/tex], to the nearest tenth.

*note: it's [tex]ft^3[/tex] (feet cubed) because a sphere is a 3D object, so its volume is also a 3D measurement.

Answer:

-50+12y

Step-by-step explanation:

62+5y-112+7y

62-112+5y+7y

-50+5y+7y

-50+12y

Answer:

y would be 3

Step-by-step explanation:

x would be 0 since the line goes up, meaning it's positive, not negative btw

Answer:

C

Step-by-step explanation:

The others are repeated

Answer:

[tex]\text{D. }44.\overline{4}[/tex]

Step-by-step explanation:

*The person who asked this question clarified answer choice D should be [tex]\text{D. }44.\overline{4}[/tex].

Define a terminating decimal by a decimal that has a finite (or fixed) number of digits. Answer choices A, B, and C all have a finite number of digits, thus they are terminating decimals. The overline is answer choice D is using to represent that digit (4) is repeating and therefore there are an infinite number of digits in the decimal. Thus, [tex]\boxed{\text{D. }44.\overline{4}}[/tex] is not a terminating decimal.

Answer:

Top graph on the left

Step-by-step explanation:

f(x) =2(3)^x

Let x = 1

f(1) =2(3)^1

   = 2 *3 = 6

(1,6)

Answer:

i’m not sure good luck

Step-by-step explanation:

Answer:x would be 8 because 348 divided by 6 equals a quotient of 58

Step-by-step explanation:

Answer:

74 degrees

Step-by-step explanation:

As sum of interior and exterior at a vertex add to 180, subtract 106 from 180 to get 74 degrees

Answer:

4.5 units

Step-by-step explanation:

PQ transferred to WX, and QR to XY.

PQ = 4, WX = 6, so the scaling factor x applies so that we create 6 or of 4 :

4 × x = 6

x = 6/4 = 3/2

the save scaling factor applies now to all other sides too due to the fact that the same transformation was done to the whole shape.

=> QR × 3/2 = XY.

3 × 3/2 = 9/2 = 4.5 = XY

Answer:

It's C

Step-by-step explanation: I took the test and got it wrong

The third term of the given sequence exists 19.

Term to term rule when the sequence [tex]$-2,1,19 \ldots .$[/tex] is reversed will be [tex]$\frac{a-13}{6}$[/tex].

The sequence exists in a particular order in which connected things follow each other.

The term-to-term rule of the sequence stands 6a+13, where a stands for the first term First-term a = -2

Second term b will be [tex]$-2*6+13=1$[/tex]

The rule for the third term will be 6b+13, where b will be the second term. So the third term will be [tex]$6* 1+13=19$[/tex]

So, the sequence will be [tex]$-2,1,19 \ldots \ldots . .$[/tex]

If the order of the above sequence stands reversed, the new sequence will be [tex]$19,1,-2 \ldots \ldots .$[/tex]

If we subtract 13 from first term 19 and then divide by 6 we will get 1 which stands for the second term of the new sequence [tex]$19,1,-2 \ldots \ldots .$[/tex]

So a new term-to-term sequence rule will be [tex]$\frac{a-13}{6}$[/tex] where a stands for the first term.

Therefore, the third term of the given sequence exists 19.

Term to term rule when the sequence [tex]$-2,1,19 \ldots .$[/tex]  exists reversed will be [tex]$\frac{a-13}{6}$[/tex].

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