Find The Value Of X.

Answer:

Solution given.

centre (h,k):(-6,1)

radius (r)=2

we have

equation of a circle is:

(x-h)²+(y-k)²=r²

(x+6)²+(y-1)²=2²

(x+6)²+(y-1)²=4 is a required equation of a circle.

Answer:

8) 10 15/16 ft³

9) 20 5/6 ft³

Step-by-step explanation:

Volume of a rectangular prism is

l * b * h,

Question 8

We're given the area

Area = l * b

So we substitute the area for length and breadth.

Volume = Area * height

Volume = 4 3/8 * 2 1/2

Volume = 35/8 * 5/2

Volume = 175/16

Volume = 10 15/16 ft³

Question 9

Volume = 5 * 1 2/3 * 2 1/2

Volume = 5 * 5/3 * 5/2

Volume = 5 * 25/6

Volume = 125/6

Volume = 20 5/6 ft³

Answer:

87.55 [tex]cm^2[/tex]

Step-by-step explanation:

Step-by-step explanation:

[tex]volume =\pi {r}^{2}h[/tex]

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

remember

[tex]\pi = 22 \div 7[/tex]

So, we will just place the area and equate it to the unknown volume including the height

1004.80 = 22/7 × 10× 10 × h

1004.80 = 314.26h

h = 3.197

Given:

[tex]a_n[/tex] is an arithmetic sequence.

To find:

The value of [tex]\dfrac{1}{a_1a_2}+\dfrac{1}{a_2a_3}+...+\dfrac{1}{a_{39}a_{40}}[/tex].

Solution:

We have,

[tex]\dfrac{1}{a_1a_2}+\dfrac{1}{a_2a_3}+...+\dfrac{1}{a_{39}a_{40}}[/tex]

It can be written as:

[tex]=\dfrac{d}{d}\left[\dfrac{1}{a_1a_2}+\dfrac{1}{a_2a_3}+...+\dfrac{1}{a_{39}a_{40}}\right][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{d}{a_1a_2}+\dfrac{d}{a_2a_3}+...+\dfrac{d}{a_{39}a_{40}}\right][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{a_2-a_1}{a_1a_2}+\dfrac{a_3-a_2}{a_2a_3}+...+\dfrac{a_{40}-a_{39}}{a_{39}a_{40}}\right][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{1}{a_1}-\dfrac{1}{a_2}+\dfrac{1}{a_2}-\dfrac{1}{a_3}+....+\dfrac{1}{a_{39}}-\dfrac{1}{a_{40}}\right][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{1}{a_1}-\dfrac{1}{a_{40}}\right][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{a_{40}-a_1}{a_1a_{40}}\right][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{a_1+(40-1)d-a_1}{a_1a_{40}}\right][/tex]       [tex][\because a_n=a_1+(n-1)d][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{39d}{a_1a_{40}}\right][/tex]

[tex]=\dfrac{39}{a_1a_{40}}[/tex]

Therefore, the value of given expression is [tex]\dfrac{39}{a_1a_{40}}[/tex].

Answer:

3

Step-by-step explanation:

Answer:

11 out of 22 marbles

Step-by-step explanation:

Just add up the red and green marbles to get the top # and then add up all the colored marbles to get the bottom #.

Hope this helps :) Please give brainliest!

Answer:

allen= y=3/2+2  billy= y= 3/2+4

Step-by-step explanation:

ok both of the equation are (almost) the same except for the y intercepts.

y=mx+b... you are learning about that hopefully!

so. each of their trees are growing by 3... feet I'll just say feet. that means the slope is three because they are each going up that much. you also have to pay attention to the fact that the year is going up by two, so your tree is actually growing by 1.5 (3 halves) feet each year. now you have to find the y intercept by back tracking. remember that the y intercept is where y is zero and x is whatever it is.

if you go back three on allen, the y intercept is 2 and if you go back on billy, the y intercept is 4.

as for the second question, the lines are parallel. they have the exact same slope so that means that they will never cross  because billy's line is higher then allens, billy's tree will always be higher

Answer:

D. He should survey all the students in all the history classes to make sure he collects enough data.

Step-by-step explanation:

correct on edge 2021

Answer:

b^-6

Step-by-step explanation:

(b^-2) / (b^4) = b^(-2 - 4)

Step-by-step explanation:

b¯²/bpower 4

So we can write 1/b²bpower 4

So therefore 1/bpower 6

Answer:

A(an)   altitude    of a prism is a perpendicular segment that joins the planes of the bases. (The height h is the length of one.)

Step-by-step explanation:

AN ALTITUDE -  An altitude of a triangle is a line segment that passes through a vertex and is perpendicular to (i.e. forms a right angle with) the base line (the side opposite the vertex). The expanded base of the altitude is the line that contains the opposing side. The foot of the altitude is the point where the extended base meets the altitude. The area of a triangle can be calculated using altitudes: one half of the product of an altitude's length and its base's length equals the triangle's area. As a result, the longest altitude is perpendicular to the triangle's shortest side. Through trigonometric functions, the heights are also connected to the triangle's sides.

Hence , the answer is an altitude .

Answer:

a is correct ................

Answer:

The stone will hit the water after 3 seconds

Step-by-step explanation:

Given

[tex]y = -5x^2 + 10x +15[/tex]

Required

At what time will the stone enter the water

When the stone enters the water;

[tex]y = 0[/tex]

So, we have:

[tex]-5x^2 + 10x +15 = 0[/tex]

Divide through by -5

[tex]x^2 -2x -3 = 0[/tex]

Expand

[tex]x^2 +x -3x -3 = 0[/tex]

Factorize

[tex]x(x +1) -3(x +1) = 0[/tex]

Factor out x + 1

[tex](x -3) (x +1) = 0[/tex]

Solve for x

[tex]x - 3 = 0\ or\ x + 1 = 0[/tex]

[tex]x = 3\ or\ x = -1[/tex]

x (time) cannot be negative.

So:

[tex]x = 3[/tex]

Answer:

[tex](x - 5)^2 + (y - (-3))^2 = 16[/tex]

Answer:

(x - 5)² + (y + 3)² = 16

Step-by-step explanation:

(x - h)² + (y - k)² = r²

(h, k) is the center = (5, -3)

r is the radius = 4

r² = 4² = 16

Answer:

12 .

Step-by-step explanation:

12

Answer:

A) f(x)=x/(x-6)^2 over the interval [3, 5]

Step-by-step explanation:

got it right on edge :) good luck!

Answer:

A

Step-by-step explanation:

got it on edge!!

Answer:

The 4 packe is better value.

Answer:

The 4 pack has better value.

Step-by-step explanation:

To find the toilet roll price, divide by the number of rolls.

2.04 ÷ 4 = 0.51

4.68 ÷ 9 = 0.52

0.52 > 0.51

So, the 4 pack has better value.

Have a wonderful day! :)

Answer:

that is you my question is wrong for me

Answer:

35 marbles were blue

Step-by-step explanation:

42/6 = 7

7 x 5 = 35

Answer:

r = 0

1.

    25-6r=25

                          −6r+25=25

2.    

        − 6r+25 = 25

                                    − 6