Identify the center and radius of the circle with the following equation: [tex]x^2+y^2+4x+8y+11=0[/tex]

Answer:

120

Step-by-step explanation:

78 is 65% of what number.

Let's break down this expression.

In this case "is" means "equals" so we will use the equal sign (=)

65% can be written as 0.65 or 65/100

"of" indicates multiplication

"what number" will be represented by x.

Now, put this all together.

78 = 0.65 • x

To solve for x, divide both sides by 0.65

120 = x

This is your answer.

Check this by finding 65% of 120.

0.65 • 120 = 78

Your answer is correct.

Hope this helps!

Answer:

Step-by-step explanation:

so first what you want to do is split the shape in to

Draw a line down where the 2 is.

you should have a rectangle and a triangle

then you find the area of the rectangle

Rectangle:

5 x 2 = 10m^2

After than you try to find the triangles area

the bottom of the triangle is 9m but since to split it in 2 you will now have 7m

multiple 5 times 7 and you will receive 35 then you divide that by 2 and you will have 17.5m^2

Add your two areas together and you will get 27.5m^2

Answer:

17/4 or 4 1/4

Step-by-step explanation:

Substitute x = 2 into the expression x² + 1/x².

Evaluate the exponents in the expression.

Multiply 4 by 4/4 to get a common denominator of 4.

Add the numerators together.

The value of x² + 1/x² if x = 2 is 17/4, or 4 1/4.

Answer:

See attachment for number line

Step-by-step explanation:

Given

[tex]Ian = \frac{6}{8}[/tex]

[tex]Anna = \frac{3}{4}[/tex]

Required

Number line to represent both amounts

The interval on the number line is 16.

So, we need to calculate the position of both as thus.

[tex]Ian = \frac{6}{8} * 16 = \frac{96}{8} = 12[/tex]

[tex]Anna = \frac{3}{4} * 16 = \frac{48}{4} = 12[/tex]

So, both will be positioned on the 12th position.

The yellow dot represents Anna while the blue dot represents Ian

See attachment for their position on the number line

Answer:

1:24

Step-by-step explanation:

hope this helped

Answer:

60

Step-by-step explanation:

straight line =180

180-120=60

i think the answer is infinitely many solutions

i am not sure tho

hope it helps

Answer:

Step-by-step explanation:

The point-slope form of the equation that describes the line with a slope of m that contains the point (x₀, y₀) is: y - y₀ = m(x - x₀)

m = - 3

(1, 2)  ⇒    x₀ = 1,  y₀ = 2

Therefore:

y - 2 = -3(x - 1)

Answer:

96m

Step-by-step explanation:

Answer:

Polygons are figures that are formed by three or more line segments. These line segments, even called sides, meet at their endpoints to form vertices. If we compare the number of sides, diagonals and triangles of a quadrilateral a pentagon and a hexagon we can find a system between the different polygons.

Step-by-step explanation:

Answer:

y = -2x + 2

Step-by-step explanation:

8 + 4/ -6

= -2

y = -2x + b

8 = -2(-3) + b

8 = 6 + b

2 = b

check work

-4 = -2(3) + 2

-4 = -6 + 2

-4 = -4

it is correct

Answer:

The total amount that he would have paid after 3 years is $1183.

Step-by-step explanation:

We would apply the formula for determining simple interest which is expressed as

I = PRT/100

I represents interest paid on the amount owed.

P represents the principal or initial amount owed.

R represents interest rate

T represents the duration for which the amount was owed in years.

P = $795

R = 16.25

T = 3 years

I = (795 × 16.25 × 3) ÷ 100

I = $388

Total amount that he would have paid after 3 years is $795 + $388 = $1183

The total amount that he would have paid after three years would be $1183.

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100

The given data as per the question

P = $795

R = 16.25

T = 3 years

Simple interest =  P × R × T

Substitute the values,

Simple interest = (795 × 16.25 / 100 × 3)

Simple interest = (795 × 0.1625 × 3)

Simple interest = $388

The total payback amount :  $795 + $388 = $1183

Therefore, the total amount that he would have paid after three years is $1183.

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Answer:

41°

Step-by-step explanation:

the sum of the interior angles is 180 degree

so,

38 + x + 101 = 180

139 +x = 180

x = 180 - 139

x= 41°

Answer:25.0

Step-by-step explanation: 5.0 times 5.0

The prices which the school would collect $0 revenue are $0 and $ 40 respectively.

Since the revenue R(p) = p(200 - 5p).

The price at which the school earn s $0 revenue from the raffle sales is when R(p) = 0.

So, p(200 - 5p) = 0

p = 0 or 200 - 5p = 0

p = 0 or 200 = 5p

p = 0 or p = 200/5 = 4

So, the prices which the school would collect $0 revenue are $0 and $ 40 respectively.

The two ticket prices that would produce a revenue of $500 are $2.68 and $ 37.32

We need to find the two ticket prices that would result in a revenue of $500. So, R(p) = 500.

So, p(200 - 5p) = 500

200p - 5p² = 500

Re-arranging, we have

5p² - 200p + 500 = 0

Dividing through by 5, we have

p² - 40p + 100 = 0

Using the quadratic formula, we find the value of p.

So,

[tex]p = \frac{-(-40) +/- \sqrt{(-40)^{2} - 4 X 1 X 100} }{2 X 1} \\p = \frac{40 +/- \sqrt{1600 - 400} }{2} \\p = \frac{40)+/- \sqrt{1200} }{2} \\p = \frac{40 +/- 34.64 }{2} \\p = \frac{40 - 34.64 }{2} or p = \frac{40 + 34.64 }{2} \\p = \frac{5.36}{2} or p = \frac{74.64 }{2} \\p = 2.68 or 37.32[/tex]

So, the two ticket prices that would produce a revenue of $500 are $2.68 and $ 37.32

Learn more about revenue here:

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Answer:

           h ≤ -12/5

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "8.4" was replaced by "(84/10)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the less equal sign from both sides of the inequality :

                    h-6-(-(84/10))≤0

Step by step solution :

STEP

1

:

           42

Simplify   ——

           5

Equation at the end of step

1

:

                  42

 (h - 6) -  (0 -  ——)  ≤ 0

                  5

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

             h - 6     (h - 6) • 5

    h - 6 =  —————  =  ———————————

               1            5    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(h-6) • 5 - (-42)     5h + 12

—————————————————  =  ———————

        5                5  

Equation at the end of step

2

:

 5h + 12

 ———————  ≤ 0

    5  

STEP

3

:

3.1    Multiply both sides by  5

3.2    Divide both sides by  5  

     h+(12/5)  ≤ 0

Solve Basic Inequality :

3.3      Subtract  12/5  from both sides

           h ≤ -12/5

Inequality Plot :

3.4      Inequality plot for

        h  + 2.400  ≤  0

The value of h is less than or equal to -2.4.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

h−6 ≤−8.4

Now, add both side 6

h−6 + 6 ≤−8.4 + 6

h  ≤−2.4

Hence, the value of h is less than or equal to -2.4

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Answer:

$420

Step-by-step explanation:

Given data

GIven ratio=  2:3

The total ratio= 2+5= 7

Ann's share= $120

Let us apply the part to all approach

let the total amount be x

so for Ann

2/7= 120/x

cross multiply

2x= 120*7

2x= 840

divide both sides by 2

x= 840/2

x= 420

Hence the amount shared is $420

Answer:

f(−18)=−8

khan academy

Answer:

d=−1

Step-by-step explanation:

−3(d−2)−4=5

Step 1: Simplify both sides of the equation.

−3(d−2)−4=5

(−3)(d)+(−3)(−2)+−4=5(Distribute)

−3d+6+−4=5

(−3d)+(6+−4)=5(Combine Like Terms)

−3d+2=5

−3d+2=5

Step 2: Subtract 2 from both sides.

−3d+2−2=5−2

−3d=3

Step 3: Divide both sides by -3.

−3d

−3

=

3

−3

d=−1

[tex]-3(d+(-2))+(-4)=5[/tex]

[tex]-3d-6+(-4)=5\\-3d-10=-5\\-3d=5\\3d=-5\\d=-\frac{5}{3}[/tex]

Answer:

James finished studying at 5:35pm

Step-by-step explanation:

3:20+2:15=3:35

20+15=35

3+2=5

3

4

×  

4

5

=  

3

5

Result in decimals: 0.6

Calculation steps:

3

4

×  

4

5

=  

3 × 4

4 × 5

=  

12

20

=  

12 ÷ 4

20 ÷ 4

=  

3

5

Answer:

-0.86602540378  is the decimal form

and the exact form is − √ 3/2  

answer,,

18

27

36

45

54

63

72

81

hope my ans helps

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Answer:

your answer will be x=13

Step-by-step explanation:

hope it helps.

Answer:

The mountain is 8.

The map is 96.

The compass is 6.

The hiker is 54.

The train is 14.

The a corn is 26

Hope this helps.

Answer:

[tex]8^2[/tex] and 4 x 4 x 4

Step-by-step explanation:

4 to the third power, is the same as 4 x 4 x 4.

This is then equal to 64.

8 squared is also equal to 64, making it also an answer.

None of the other ones work.

Hope this helps and have a nice day!! :) :] :D

Answer:

4/9 will be the probability.

Hope it helps you!!

Answer:

The answer would be -19.8

Step-by-step explanation:

Hope this helps