2. a=1,
If -a=1, then a =

Answer:

Step-by-step explanation:

[tex]x^2+8x+y^2-2y=-1\\\\x^2+8x+16+y^2-2y+1=-1+16+1\\(x+4)^2+(y-1)^2=16\\\\(x+4)^2+(y-1)^2 = 4^2[/tex]

Answer:

$(a + b) + cn cent

Step-by-step explanation:

Given :

Fixed charge = $a

Rent of a meter = $b

Charge per unit of electricity = c cents

The total cost of using n units of electricity :

For n units of electricity ;

Fixed charge is paid once

Meter rent is paid once

The cost of electricity = (number of units * cost per unit) = (n * c) = nc cents

Total cost of n units of electricity :

$(a + b) + cn cent

Answer:

the first one n second one

Answer:

i dont know why u deleted my answer- but ok

Step-by-step explanation:

Answer:

a hope it helps make brainlliest

Answer:

everything is in the photo

Answer: 9/80

Step-by-step explanation:

Step-by-step explanation:

hope it helps.

Answer:

Below

Step-by-step explanation:

√(18*49)

= √882

= 29.70 to nearest hundredth.

Answer:

k = 5

Step-by-step explanation:

The standard form of an equation representing proportionality is

y = kx ← k is the constant of proportionality

y = 5x ← is in standard form

with k = 5

Answer:

48 students in each bus

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

Answer:

she uses 12×5=60 grapes

Answer:

30

Step-by-step explanation:

5 grapes : 2 strawberries

5 : 2

x : 12

x = (5 × 12) ÷ 2

x = 30

Answer: 90 mm cubed

Step-by-step explanation:

Formula = (L*W*H) / 2

5 * 12 * 3 = 60 * 3 = 180

180 / 2 = 90

Answer:

f(x)= (x-5)(x+6)

Step-by-step explanation:

First, we find the factors of -30 that add up to +1

We can use 6 and -5

6+(-5)=1

f(x)= x^2+6x - 5x-30

then, we do group factorization

f(x)= x(x+6)- 5(x+6)

f(x)= (x-5)(x+6)

i hope this helps <3

Answer:

[tex]6(7) + 7(11)[/tex]

Step-by-step explanation:

Given

The expression is:

[tex]6a + 7b[/tex]

[tex]a = 7[/tex]

[tex]b = 11[/tex]

Required

The corresponding expression when the values are substituted for the variables

We have: [tex]6a + 7b[/tex]

Substitute [tex]a = 7[/tex]

So, the expression becomes:

[tex]6(7) + 7b[/tex]

Substitute [tex]b = 11[/tex]

So, the expression becomes:

[tex]6(7) + 7(11)[/tex]

Answer:

The average rate of change of f(x) is greater than ​g(x)​ on the interval [0,3]

Step-by-step explanation:

:)) Hope it helps!!

Answer: The mean is 6.

Step-by-step explanation: First you add all of the numbers together getting a total of 48. Next to find the mean you divide them by the total number of "dots". Lastly, you get the answer of 6 which is your mean.

Answer:

6.

Step-by-step explanation:

First you take the data on the dot plot, and write the numbers down from least to greatest.

The data set:

2,3,6,6,7,8,8,8

Now that you have the data reordered in a easier way to read, add up all the numbers that you got from the dot plot.

2+3+6+6+7+8+8+8=48

Next we count all the number in the data set we made.

2,3,6,6,6,7,8,8,8 = 8

The amount of numbers in this data is 8.

Lastly we then divide 48 by 8.

48/8= 6

So your answer is 6!

Answer:

C (s = 2b - 3)

Step-by-step explanation:

Sharon (s)

is (=)

Three years less (- 3)

Than twice her brothers age (2b)

Answer:

s = 2b - 3

Step-by-step explanation:

Sharon is 3 years younger than twice her younger brother's age.

Answer:

10√6 ; √5/6 ; 42√14

Step-by-step explanation:

1)  - factorise 240

240/ 2 = 120

120/2 = 60

60/2 = 30

30/2 = 15

15/3 = 5

5/5 = 1

240 = 2^4 * 3 * 5

- simplify [tex]\sqrt{2^4 * 5 * 3}[/tex]. We can in particular simplify [tex]\sqrt{2^4}[/tex]  by dividing the index of the radius and the exponent by 2

[tex]2^2\sqrt{5*3} = 4\sqrt{15}[/tex]

- factorise 12

12/2 =.6

6/2 = 3

3/3 = 1

12 = 2^2 * 3

- simplify [tex]\sqrt{2^2 *3}[/tex]

[tex]\sqrt{2^2 * 3} = 2\sqrt{3}[/tex]

- divide [tex]4\sqrt{15} with 2\sqrt{3}[/tex]

number : number = 4/2 = 2

square : square = √15 / √3 = √5

[tex]2\sqrt{5}[/tex]

- multiply √30 with 2√5

number x number = 2x1 = 2

square x square = √30 x √5 = √150

2√150

- factorize 150

150/ 2 = 75

75/3 = 25

25/5 = 5

5/5 = 1

150 = 5^2 x 2 x 3

- simplify [tex]\sqrt{5^2 * 2 * 3}[/tex]

[tex]\sqrt{5^2 * 2 * 3} = 5\sqrt{6}[/tex]

- multiply 2 and 5

10√6

2)  remember that a division of two terms with the same square can be rewrite as [tex]\sqrt{x/y} = \sqrt{x} / \sqrt{y}[/tex]

- rewrite the expression in this way

[tex]\sqrt{5} / \sqrt{9} + \sqrt{5} / \sqrt{144} - \sqrt{5} / \sqrt{16}[/tex]

- solve the squares of the denominators

√5/3 + √5/12 -√5/4

- rewrite the fraction with the same denominator = 12

(4√5 + √5 - 3√5)/12

- simplify the numerators by sum the numbers

2√5/12

- divide 2 and 12

√5/6

3)

- multiply 3√2 and √14

number x number = 3 x 1 = 3

square x square = √2 x √14  = √28

3√28

- factorise 28

28 = 2^2 x 7

- simplify [tex]\sqrt{2^2 *7}[/tex]

[tex]\sqrt{2^2 *7} = 2\sqrt{7}[/tex]

- multiply 3 and 2

6√7

- factorise 98

98/2 = 49

49/7 = 7

7/7 = 1

98 = 7^2 * 2

- simplify [tex]\sqrt{7^2 * 2}[/tex]

[tex]\sqrt{7^2 * 2} = 7\sqrt{2}[/tex]

- multiply 6√7 and 7√2

number x number = 42

square x square = √14

42√14

Answer:

150 cm2

Step-by-step explanation:

one square would simply be base x height our base is 5 and height is 5 so i multiply that and get 25 since this is a cube all sides are equal so I will simply just multiply 25 by the number of sides since a cube has 6 sides our equation to get the answer would be 25 x 6 = 150 so 150 is our answer! Hope this is a good explanation! Have a good day!

Answer:

A) [tex]f^{-1} (x)=\frac{5x+3}{2}[/tex]

Step-by-step explanation:

[tex]f(x)=\frac{2x-3}{5}[/tex]

[tex]y=\frac{2x-3}{5}[/tex]

[tex]x=\frac{2y-3}{5}[/tex]

[tex]\frac{5x+3}{2} =y[/tex]

[tex]y=\frac{5x+3}{2}[/tex]

So option (A)

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

hope it helps...

have a great day!!

Given:

The length of your family's garden is 3 feet greater than the width.

The area of the garden is 460 square feet.

To find:

The dimensions of the garden.

Solution:

Let x feet be the width of the garden. Then,

Length = [tex]x+3[/tex] feet

The area of a rectangle is:

[tex]A=l\times w[/tex]

Where, l is the length and w is the width of the rectangle.

The area of the rectangular garden is:

[tex]A=(x+3)\times x[/tex]

[tex]A=x^2+3x[/tex]

It is given that the area of the garden is 460 square feet.

Putting [tex]A=460[/tex], we get

[tex]460=x^2+3x[/tex]

[tex]0=x^2+3x-460[/tex]

Splitting the middle term, we get

[tex]x^2+23x-20x-460=0[/tex]

[tex]x(x+23)-20(x+23)=0[/tex]

[tex](x+23)(x-20)=0[/tex]

[tex]x=-23,20[/tex]

The width of a garden cannot be negative. So, [tex]x=20[/tex].

Now,

[tex]l=x+3[/tex]

[tex]l=20+3[/tex]

[tex]l=23[/tex]

Therefore, the length of the garden is 23 feet and the width of the garden is 20 feet.

Answer:

C: 5√2

Step-by-step explanation:

Answer is C, 5[tex]\sqrt{2}[/tex] hope this helps !!!

Explanation: A 45°-45°-90° triangle is a special right triangle that has two 45-degree angles and one 90-degree angle. The side lengths of this triangle are in the ratio of; Side 1: Side 2: Hypotenuse = n: n: n√2 = 1:1: √2. The 45°-45°-90° right triangle is half of a square.

Answer:C.  x < -16

Step-by-step explanation:

Answer:

117π=367.38

Step-by-step explanation:

r=d/2=3

V=πr2h=π·3²·13=117π=367.38

Answer: n=5

have an amazing day <3

Answer:

the third one (2,-18)

Step-by-step explanation:

Answer:

A. 58

Step-by-step explanation:

70° + m<3 + 52° = 180°

m<3 = 58°

Answer:

A. 58°

Step-by-step explanation:

here's your solution

==> 70° + 52° + angle 3 = 180°. [linear pair]

==> angle 3 + 122° = 180°

==> angle 3 = 180° - 122°

==> angle 3 = 58°

hope it helps

Answer:

729 and 1024

Step-by-step explanation:

If you take the square root of all of these numbers, only 729 and 1024 will give whole numbers.

Have a Great Day!