The sum of two integers equals twelve, while their product equals thirty-five. Which two numbers are they?

Answer:

x = 7 e y = -24

Step-by-step explanation:

The equation of the circle that has its centre at (7, -24) and passes through the origin is (x - 7)² + (y + 24)² = 625.

A circle can be characterized by its centre's location and its radius's length.

Let the centre of the considered circle be at (h,k) coordinate and the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x-h)²+(y-k)²=r²

The equation of a circle is given as (x-h)²+(y-k)²=r², where (h,k) is the coordinate of the centre of the circle, and r is the radius of the circle.

Since the given circle is needed to pass through the origin and the coordinates of the centre of the circle are (7, -24). Therefore, the distance between the origin and (7, -24) will the radius of the circle.

Therefore, the radius of the circle will be,

Radius = √[(7-0)² + (-24 - 0)²]

           = √(49 + 576)

           = √(625)

           = 25

Now, the equation of the circle that is centred at (7, -24) and has a radius of 25 units is,

(x - h)² + (y - k)² = r²

[x - 7]² + [y - (-24)]² = (25)²

(x - 7)² + (y + 24)² = 625

Hence, the equation of the circle that has its centre at (7, -24) and passes through the origin is (x - 7)² + (y + 24)² = 625.

Learn more about the Equation of a circle here:

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Answer:

the answer is 100:60:40 hope it helps

Answer:

so the simplest way to find the volume of water is by dividing into different....objects

so when dividing you create a rectangular box that has length of 12 width of 14.5 and height of 5 and another rectangular box with length of 7 (19-12) width of 4 and height of 5

now calculate the volume of each box and add them up

v = length x width x height

box 1 = 12 x 14.5 x 5 = 870 ft^3

box 2 = 7x4x5 = 140

now smash them up together = 870+140=1010ft^3

hope that answers your question

Answer:

$879.190 = $879.19

$532.626 = $532.627

Step-by-step explanation:

You round up for the tenths place if the hundredths place is above five, but you round down for the tenths place if the hundredths place is below five. For example, 0 is below five for $879.190, so I round to 9.

Answer:

[tex] \sin(120) \\ = \sin(90 + 30) \\ = \cos(30) \\ = \frac{ \sqrt{3} }{2} \\ \\ \tan( \frac{3\pi}{4} ) \\ = \tan(135) \\ = \tan(90 + 45) \\ = - \cot(45) \\ = - 1[/tex]

[tex]\\ \rm\longmapsto sin120[/tex]

[tex]\\ \rm\longmapsto sin(90+30)[/tex]

[tex]\\ \rm\longmapsto cos30[/tex]

[tex]\\ \rm\longmapsto \dfrac{\sqrt{3}}{2}[/tex]

Now

[tex]\\ \rm\longmapsto tan\left(\dfrac{2\pi}{4}\right)[/tex]

[tex]\\ \rm\longmapsto tan135[/tex]

[tex]\\ \rm\longmapsto -1[/tex]

Answer:

below

Step-by-step explanation:

In short, we will add both coefficients together to combine like terms.

3x + 5x → x(3 + 5) → 8x

If you have a value like 2x and 2, you cannot combine them because they do not have the same variable.

Best of Luck!

Answer:

Height of the cone = 5 cm

Step-by-step explanation:

Volume of the rectangular prism with a cone shaped hole = Volume of the rectangular prism - Volume of the cone

Volume of the rectangular prism = Length × Width × Height

                                                       = 5 × 5 × 7

                                                       = 175 cm³

Volume of the cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]

Here, r = Radius of the cone

h = Height of the cone

Volume of the cone = [tex]\frac{1}{3}\pi (\frac{3}{2})^{2}(h)[/tex]

                                 = 0.75πh cm³

Volume of the rectangular prism with a hole = 163.22 cm³

175 - 0.75πh = 163.22

0.75πh = 175 - 163.22

0.75πh = 11.78

h = 5 cm

9514 1404 393

Answer:

  after 89 years

Step-by-step explanation:

For principal p, interest rate r, and number of years t, the two account balances are ...

  a = p·e^(rt) . . . . continuous compounding

  a = p(1+r)^t . . . . annual compounding

Using the given values, we have

  3000·e^(0.07t) . . . . . compounded continuously

  20000·1.05^t . . . . . . compounded annually

We want to find t so these are equal.

  3000·e^(0.07t) = 20000·1.05^t

  0.15e^(0.07t) = 1.05^t . . . . divide by 20,000

  ln(0.15) +0.07t = t·ln(1.05) . . . . take natural logarithms

  ln(0.15) = t·(ln(1.05) -0.07) . . . . subtract 0.07t

  t = ln(0.15)/(ln(1.05) -0.07) ≈ -1.8971/-0.02121 . . . . . divide by the coefficient of t

  t ≈ 89.4 ≈ 89

The two accounts will have the same balance after 89 years.

Answer:

[tex]\begin{array}{cccc}{} & {Looking\ for\ job} & {Not\ looking} & {Total} & {Employed} & {0.24} & {0.28} & {0.27} & {Not\ Employed} & {0.76} & {0.72} & {0.73}& {Total} & {1} & {1} & {1} \ \end{array}[/tex]

Step-by-step explanation:

The question is not properly formatted (see attachment for the frequency table and the options)

Required

The conditional relative frequency table by column

We have:

[tex]\begin{array}{cccc}{} & {Looking\ for\ job} & {Not\ looking} & {Total} & {Employed} & {12} & {28} & {40} & {Not\ Employed} & {38} & {72} & {110}& {Total} & {50} & {100} & {150} \ \end{array}[/tex]

To get the conditional frequency by column, we simply divide each cell by the corresponding total value (on the last row)

So, we have:

[tex]\begin{array}{cccc}{} & {Looking\ for\ job} & {Not\ looking} & {Total} & {Employed} & {12/50} & {28/100} & {40/150} & {Not\ Employed} & {38/50} & {72/100} & {110/150}& {Total} & {50/50} & {100/100} & {150/150} \ \end{array}[/tex]

[tex]\begin{array}{cccc}{} & {Looking\ for\ job} & {Not\ looking} & {Total} & {Employed} & {0.24} & {0.28} & {0.27} & {Not\ Employed} & {0.76} & {0.72} & {0.73}& {Total} & {1} & {1} & {1} \ \end{array}[/tex]

Answer:

1) perimeter = sum of all the sides = 3y+9+2y+4+y+3+2y+4 = 8y+20

2) P = 4(5x-2) = 20x-8

Answer:

x = 54

y = 144

Step-by-step explanation:

y = (10-2)×180/10 = 144

x = 180-90-(180-144) = 54

Answered by GAUTHMATH

[tex] \sf \: c = 3 \\ \sf \: d = 4 \\ \\ \sf \: 5cd \: = \: ?\\ \\ \sf \:5 cd \hookrightarrow \\ \sf = 5 \times (3) \times (4) \\ \sf = 5 \times 12 \\ = \underline{ \bf \: 60}[/tex]

-> Just substitute the values given for variables c & d in the equation 5cd & you'll get the answer.

Answer:

I believe its negative nonlinear association

Step-by-step explanation:

The line is going down so its definitely negative

And the line is not straight so its not linear

Therefore, its negative nonlinear association

9514 1404 393

Answer:

  ∠4 = 108°

Step-by-step explanation:

Angles 2 and 4 together form a "linear pair". That is, the sum of them is 180°, a "straight angle." They are supplementary.

  ∠4 = 180° -∠2 = 180° -72°

  ∠4 = 108°

Answer:

916.11 ft³

Step-by-step explanation:

(9×6)×7.83/2×13/3

= 211.41×13/3

= 916.11 ft³

Answered by GAUTHMATH

Answer:

916.11 ft³

Step-by-step explanation:

7(5 + t) - 4(t + 4) =

= 35 + 7t - 4t - 16 =

= 7t - 4t + 35 - 16 = 3t + 19

Answer:

1

Step-by-step explanation:

x-1+ 1 /5*( x-1)=0

(x-1)*6/5=0

x=1

Answer:  Radius is 21.2537 units, to 6 sig figs

Step-by-step explanation:  

I'll assume the circumference is simply 133.541 units^2.  Circumference (C) is C = 2*pi*R, where R is the radius.  Thus, R = C/(2*pi),

 R = (133.541/2*(3.14159) to 6 sig figs

 R = 21.2537 units

Answer:

5x​(5x+1)^2

= 5x(25x^2+10x+1)

= 125x^3+50x^2+5x

QUESTION-:

The inequalities x < -5 and -X > -5 are the same.

True

False

ANSWER-:

FALSE

!! HOPE ITS HELP U !!

Answer:

given in a triangle rst and another triangle ratOn a coordinate plane, triangle R S T has points (0, 0), (negative 2, 3), (negative 3, 1). Triangle R prime S prime T prime has points (2, ...

9 votes

Angle 3 and Angle 5 are corresponding angles. Corresponding angles lie in the same relative position. As such, they are congruent.

50x - 100 = 25x + 25

25x - 100 = 25

25x = 125

x = 5

Angle 3 = 50(5) - 100 = 250 - 100 = 150

Angle 5 = 25(5) + 25 = 125 + 25 = 150

Hope this helps!

Answer:

here,

L.H.S;

1-tanA / 1+tanA

=1-1/cotA / 1+1/cotA

= cotA-1/cotA / cotA+1/cotA

=cotA-1 / cotA+1

= R.H.S

proved

Answer:

if it's a math proof, i will think this is answer

Step-by-step explanation:

Step-by-step explanation:

The formula for area is l x b. This stands for length and breadth. I can multiply 1000(100) to get 100,000m. The area of the lawn is 100,000 m.

HOPE IT HELPS YOU

MARK ME BRAINLIEST

Answer:

4/5 foot

Step-by-step explanation:

Add the lengths together

1/2 +3/10

Get a common denominator

1/2 *5/5  + 3/10

5/10 + 3/10

8/10

Simplify the fraction by dividing the top and bottom by 2

4/5

[tex]\rm \implies \: Total \: \: length \: \: of \: \: tape \: = \: \frac{1}{2} \: + \: \frac{3}{10} \\ [/tex]

[tex]\bf \large \rightarrow \: \: \frac{5 \: + \: 3}{10} \: = \: \frac{8}{10} \\ [/tex]

Now , simplifying the fraction in simplest form.

[tex]\bf \large \rightarrow \: \: \cancel\frac{8 \: \: ^{4} }{10 \: \: ^{5} } \: = \frac{4}{5} \\ [/tex]

Christian have 4/5 foot of tape have now.

Answer:

1}6 times

Step-by-step explanation:

2}Yes.New York and Mast has the same number of president which is four

3}Yes,this can be done using piechart.

4}I am still working on this question

Let ages of Seema and her mother be “5x” years and “12x” years respectively.

Difference between ages is 21 years

Hence,

12x - 5x = 21

7x = 21

x = 3

Therefore,

Age of Seema = 5 × 3 = 15 years

Age of her mother = 12 × 3 = 36 years

Ratio of ages after three years = ( 15+3 ) / (36+3 )

= 18 / 39

= 6 / 13

= 6 : 13

Answer:

5/1 or 5

Step-by-step explanation:

4 cup of lemonade is $20

then,

1 cup of lemonade is 20 ÷4 =5

Answer:

9b /a^5/2

Step-by-step explanation:

9√(a^-5 b^2)

9 sqrt( a^ -5 b^2)

Rewriting sqrt as ^1/2

9 ( a^ -5 b^2)^1/2

9 ( a^ -5) ^1/2 ( b^2)^1/2

we know that  an exponent to an exponent means multiply

9 a^ (-5*1/2)  b^(2*1/2)

9 a^-5/2 b^1

9b a^ -5/2

We know that x^-y = 1/x^y

9b /a^5/2

Answer:

[tex]\frac{9b}{a^{2} }[/tex][tex]\sqrt{\frac{1}{a} }[/tex] should be the answer of the problem that you posted

if you try to solve using [tex]\sqrt{x}[/tex]    as as [tex]x^{\frac{1}{2} }[/tex]

then [tex](a^{-5)} ^{\frac{1}{2} } \\[/tex] =  [tex](a^{-5/2)}[/tex] = [tex]\frac{1}{a^{\frac{5}{2} } }[/tex]

[tex]\frac{1}{a^{\frac{5}{2} } }[/tex] * 9b = [tex]\frac{9b}{a^{\frac{5}{2 } } }[/tex]

Step-by-step explanation:

[tex]9 \sqrt{(a^-5 b^2)}[/tex]

[tex]x^{-1} = \frac{1}{x}[/tex]

[tex]a^{-5} = \frac{1}{a^{5} }[/tex]

[tex]\sqrt{b^{2} } = b[/tex]

[tex]a^{4}[/tex] a's can be removed from the radicle (one will be left in because you have a^5)

[tex]\frac{9b}{a^{2} }[/tex][tex]\sqrt{\frac{1}{a} }[/tex]