Line n goes through points A and B. What is the slope of line n?
Point A;(4,7)
Point B:(18,17)

Let's see

[tex]\\ \rm\rightarrowtail y=6x^2-25x+11[/tex]

Graph attached

Axis of symmetry

Answer:

axis of symmetry: x = 2

vertex:  (-2, 13)

Step-by-step explanation:

Given function

[tex]\sf y=6x^2-24x+11[/tex]

Vertex form

[tex]\sf y=a(x-h)^2+k[/tex]
where (h, k) is the vertex

Expand vertex form:

[tex]\sf \implies y=ax^2-2ahx+ah^2+k[/tex]

Compare coefficients of expanded vertex form with given function:

coefficient of [tex]\sf x^2[/tex]:  

⇒ a = 6

coefficient of [tex]\sf x[/tex]:  

⇒ -2ah = -24

⇒ ah = 12

⇒ 6h = 12

⇒ h = 2

constant:

⇒ [tex]\sf ah^2+k=11[/tex]

⇒ [tex]\sf 6 \cdot 2^2+k=11[/tex]

⇒ [tex]\sf 24+k=11[/tex]

⇒ [tex]\sf k=-13[/tex]

Vertex

Vertex = (2, -13)

Axis of symmetry

Axis of symmetry is when x = h

Therefore, axis of symmetry is x = 2

Answer: 40

Step-by-step explanation: The total number of points from the first 8 games is 7+4+3+6+8+3+1+5=37.

We have to make this a multiple of 9 by scoring less than 10 points.

The closest multiple of 9 is 45. 45-37=8.

Now we have to add a number to get a multiple of 10.

The next multiple is 50 we added 5, multiplying these together you get 8 x 5 is 40.

Answer:

○ [tex]\displaystyle 12,9[/tex]

Step-by-step explanation:

Use the Law of Sines to find the length of the second edge:

Solving for Angles

[tex]\displaystyle \frac{sin\angle{C}}{c} = \frac{sin\angle{B}}{b} = \frac{sin\angle{A}}{a}[/tex]

Use [tex]\displaystyle sin^{-1}[/tex]towards the end or you will throw your result off!

Solving for Edges

[tex]\displaystyle \frac{c}{sin\angle{C}} = \frac{b}{sin\angle{B}} = \frac{a}{sin\angle{A}}[/tex]

Let us get to wourk:

[tex]\displaystyle \frac{a}{sin\:40} = \frac{10}{sin\:30} \hookrightarrow \frac{10sin\:40}{sin\:30} = x; 12,855752194... \\ \\ \boxed{12,9 \approx x}[/tex]

I am joyous to assist you at any time.

1. Niles is making a map of his neighborhood. He uses a scale in which 1 cm = 5 km. The distance between his house and the school is 8.5 km.

How many centimeters will there be between his house and school on the map?

1 cm = 5km

8.5 ÷ 5 = 1.7

There will be 1.7 centimeters between his house and school.

Answer:

B

Step-by-step explanation:

No these triangles are not congruent.

Left triangle

Shortest side = 6 cm

Longest side = 13 cm

3rd side = unknown but < 13

Right triangle

Shortest side = 6 cm

Longest side = unknown but > 13

3rd side = 13 cm

Although the shortest side of both triangles is 6 cm, the longest side of the left triangle is 13 cm, whereas the longest side of the right triangle is unknown but will be more than 13 cm.

We do not know if any of the angles are congruent.  If they were congruent, we would expect to see this marked by the same angle line(s) on each triangle.

Answer:

p > 8

Step-by-step explanation:

p - 2 > 6

Add 2 to each side

p > 8

Answer:

B

Step-by-step explanation:

(8,12)=(x1, y1)

(1,3)=(X2, y2)

distance=√(x2-x1)^2+(y2-y1)^2

=√(1-8)^2+(3-12)^2

=√(49+81)

√130

=11.40

Step-by-step explanation:

We know that if the equation of the circle is (x-h)^2 + (y-k)^2 = r^2, it has a center of (h,k) and a radius of r.

Matching this up with the given equation, we get the center is (-5, 4) and the radius is 9.

Answer:

this is very easy.

Step-by-step explanation:

if he started at a temperature of 12, then added 8 and added 13 onto that? the sum of those numbers would be 33. so 33 degrees Celsius

The amount of cash due based on the terms of the lease that Muriel will pay is $2640.

The amount of cash due is calculated thus:

= Security deposit + Acquisition fee + Down payment

= $605 + $1270 + $765

= $2640

The monthly lease payment will be:

= Depreciation + Interest

= $133 + $28.7

= $161.70

Depreciation was calculated as:

= ($24990 - $14330) / 32 = $133

Interest was calculated as:

= Capitalized cost + Residual value × Money factor

= ($24990 + $14330) × 0.00073

= $28.70

Learn more about cash on:

https://brainly.com/question/25785586

Answer:

3(2/9) ounces of sprinkles each sundae (3.222222.....)

Step-by-step explanation:

12 divided into 4  = 3 ounces

(8/9)/4  is the same as  (8/9) x(1/4) = 8/36 = 2/9

3 ounces and 2/9 ounces

Each sundae will have 3 2/9 ounces of sprinkles on it.

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

Chloe has 12 8/9 ounces of sprinkles and 4 sundaes, so she will put 12 8/9 / 4 = 3 2/9 ounces of sprinkles on each sundae.

To break this down, 12 8/9 can be simplified to 12 + 8/9 = 12 + 8/9 = 12 + 4/9 = 12 4/9.

When we divide 12 4/9 by 4, we get 3 2/9.

So each sundae will have 3 2/9 ounces of sprinkles on it.

Learn more about the fraction here:

brainly.com/question/10354322

#SPJ2

Answer:

B. 9 cubic inches

Step-by-step explanation:

Hey there!

To find the volume of a rectangular prism, you must use the formula:

L * W * H

To find the volume we must multiply: 1.5, 4, and 1.5

Let's start!

The solution is 9 cubic inches (remember that inches * inches * inches is inches³, or cubic inches)

Volume = base area × height

Volume = ( 4 × 1 ½ ) × 1 ½

[tex]v = (4 \times \frac{3}{2} ) \times \frac{3}{2} \\ [/tex]

[tex]v = \frac{12}{2} \times \frac{3}{2} \\ [/tex]

[tex]v = \frac{36}{4} \\ [/tex]

[tex]v = 9[/tex]

Thus C is the correct option.

Have a great day ♡

The number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

We're specified that:

So, each of 3 characters get 26 ways of being 1 letter. (assuming no difference is there between upper case letter and lower case letter).

And that 1 remaining character get 10 ways of being a special character.

So, by product rule, this choice (without ordering) can be done in:

[tex]26 \times 26 \times 26 \times 10 = 175760[/tex] ways.

Now, the password may look like one of those:

where S shows presence of special character and L shows presence of letter.

Those 175760 ways are available for each of those four ways.

Thus, resultant number of ways this can be done is:

[tex]175760 \times 4 = 703040[/tex]

Thus, the number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040

Learn more about rule of product here:

https://brainly.com/question/2763785

Answer:

nsgs6

68÷9

02_3

73929

Step-by-step explanation:

8282×627=628373

Answer:

i hope this helps you!

Step-by-step explanation:

Answer:

-35/91 is the required answer

Hope it helps

make me brainlist

Answer:

88

Step-by-step explanation:

86 is 98% of 87.755102040816 which rounded to the nearest whole number is 88.

The largest exponent is the degree.

this only has one exponent so the degree would be 3

Answer:

x=136 degrees

Step-by-step explanation:

A quadrilateral inscribed in a circle has opposite angles that add up to 180 degrees. So x + 44 deg = 180 deg. We can solve this to get x = 136 deg.

I hope this solution was helpful. Happy mathing!

Answer:

[tex]\frac{40}{100}[/tex]

Step-by-step explanation:

You can multiply on the upper and bottom part by the same number without changing the fraction so [tex]\frac{4}{10}=\frac{4\cdot 10}{10\cdot 10}=\frac{40}{100}[/tex]

Answer:

r = 3 yds

Step-by-step explanation:

The perimeter of a quarter circle is 1/4 of a circumference of the circle AND two straight edges that are the length of the radius. see image.

The circumference is given and using 3.14 for pi, we'll then solve for r. see image.

4x + y = 0

-x - 2y =7

with - x - 2y = 7

we have x = -2y - 7

we replace x by this value in the first one

4 * (-2y - 7) + y = 0

- 8y - 28 + y = 0

- 7y = 28

y = 28/(-7)

y = - 4

since  4x + y = 0

we have 4x + (-4) = 0

4x = 4

x = 1

(1 ; -4)

Answer:

[tex]x=7 + \sqrt{3}[/tex]

[tex]x=7 - \sqrt{3}[/tex]

Step-by-step explanation:

Given equation:

[tex]5x^2-70x=-230[/tex]

Divide both sides by 5:

[tex]x^2-14x=-46[/tex]

Square half of the coefficient of [tex]x[/tex]:  [tex](-14 \div 2)^2=49[/tex]
and add this to both sides:

[tex]x^2-14x+49=-46+49[/tex]

Factor the left side and simplify the right side:

[tex](x-7)^2=3[/tex]

Square root both sides:

[tex]x-7=\pm\sqrt{3}[/tex]

Add 7 to both sides:

[tex]x=7 \pm \sqrt{3}[/tex]

[tex]\sf x=\pm \sqrt{3}+7[/tex]

solving step wise:

[tex]\sf 5x^2-70x=-230[/tex]

divide the following by 5

[tex]\sf x^2-14x=-46[/tex]

completing square

[tex]\sf (x-\dfrac{14}{2})^2-(\dfrac{14}{2})^2 =-46[/tex]

should look like this

[tex]\sf (x-7)^2-49=-46[/tex]

simplify by changing sides

[tex]\sf x-7=\pm \sqrt{3}[/tex]

final answer:

[tex]\sf x=\pm \sqrt{3}+7[/tex]

Answer:

127

Step-by-step explanation:

Given :

On differentiating,

At x = 2

First differentiate

So

[tex]\\ \rm\Rrightarrow \dfrac{d}{dx}(30x^2+7x)[/tex]

[tex]\\ \rm\Rrightarrow 60x+7[/tex]

Put x=2

Answer:

90.24 mm

Step-by-step explanation:

Circumference = 2πr

C = 2(3.14)(16)

C = 100.48 mm

Perimeter of the figure = 20 + 20 + 1/2 (circumference)

P = 40 + 1/2 (100.48)

P = 40 + 50.24

P = 90.24 mm

I hope this helps!

Sometimes we start to lose faith, in those moments we think that no one loves us when they do, they care about us too. It's just your head messing with you. It's like saying "I'm depressed" but you're really not. it's just that you keep saying is that your brain starts believing it. Most of the time it's you losing faith. Which is completely normal and everyone in their life will once feel that way. That's why people often decide to end life way too soon. They don't know it's only going to last some time. It's going to be hard of course but it will soon have to come to an end, and when it does you will feel free and you will be able to enjoy life the way you are supposed to.

hope that helps.

3x - 3= x + 5

=> 3x - x = 5 + 3

=> 2x = 8

=> x = 8/2

=> x = 4

Answer:

4

Step-by-step explanation:

3x - 3 = x+5

=> 3x = x+5+3            ( transposing method)

=> 3x-x = 5+3

=> 2x = 8

=> x = 8/2

=> x = 4

Answer:

Step-by-step explanation:

AREA: 42 cm^2

h = 14 cm

area of a triangle formula:

[tex]\frac{height * base}{2} \\\frac{14 * base}{2} = 42[/tex]

(14)(base) = 42 * 2

(14)(base) /14 = 84 /14

base = 6 cm