The sum of two numbers is 52. One number is 3 times as large as the other. What are the numbers?

Answer:

(x-9)^2 +(y-12)^2 = 225

Step-by-step explanation:

First find the length of the radius

If is the distance from the center to the point

d = sqrt( (x2-x1)^2 + (y2-y1)^2 )

   = sqrt( (0-9)^2 + (0-12)^2)

   = sqrt ( 81+144)

  = sqrt(225)

  = 15

The equation for a circle is

( x-h) ^2+ (y-k)^2 = r^2

(x-9)^2 +(y-12)^2 = 15^2

(x-9)^2 +(y-12)^2 = 225

Answer:  C. Trey, Susie, Tucker, Jordan, Ashton

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Explanation:

The random sub-sequence 52197 66082 helps directly determine who we pick.

The digit 5 is first of that sequence, so we pick Trey first (as he's the 5th student). Then we pick student #2 next, who is Susie.

Up next is student #1, and that would be Tucker

Up next is student #9, but the list only goes high as 7. So we skip over 9

Jordan is next up since 7 is the next digit

Finally, the last selection is Ashton because 6 follows after.

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In other words, the sequence 52197 6 will lead to these selections in the order provided.

Side note: if we wanted a 6th student, then we'd have to skip over the next 6 since we cannot pick Ashton twice. The 6th selection would be Jack since he's student #0

Answer:

C

Step-by-step explanation:

Answer:

D makes sense. I think the answer is D.

Answer:

C:The set of all possible outcomes

Answer:

350.85

Step-by-step explanation:

90.6*2 = 181.2

27*2 = 54 (diameter)

54*pi = 169.646003294

169.646003294 + 181.2 = 350.846003294

350.846003294 = 350.85

Answer:

-36,36

Step-by-step explanation:

3x - 6(5x + 3) = 9x + 6

 Distribute:

3x - 30x - 18 = 9x + 6

Combine like terms:

-27x - 18 = 9x + 6

There are two possible ways to isolate x

On the left

Subtract 9x from each side

-27x - 18 -9x = 9x-9x + 6

-36x -18 = 6

On the right

Add 27x from each side

-27x - 18 +27x = 9x+27x + 6

-18 =36x+ 6

Answer:

It's an isosceles triangle equal 2 sides so

it will be x+67 ° +67 ° =180° ( sum of angle in triangle)

x+134 °=180 °

x =180 - 134

x = 46 °

The measurement of the missing angles in the given triangle is 67.

Use the concept of isosceles triangle defined as:

A triangle with two equal-length sides is said to be isosceles.

An isosceles triangle has equal angles on either side of its equal sides.

In the given figure,

One angle is 67 degrees

And two sides are equal.

Let the missing angle is x°

Since the two sides of this triangle are equal,

So this is an isosceles triangle.

Then two opposite angles must be equal.

For a triangle,

The sum of interior angles = 180°

Therefore,

67° + 67° + x° = 180°

x° = 46°

Hence,

The measurement of the missing angle is 46°

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Answer:

hope it helps

Step-by-step explanation:

it's true because it gives interset or compensation amount to the individuals or organizations which motivates people to save their money in a saving account

Answer:

Step-by-step explanation:

4). a). If the diagonals of a parallelogram are congruent, then it must be a RECTANGLE.

b). If the diagonals of a parallelogram are perpendicular, then it must be a SQUARE.

c). If the diagonals of a parallelogram bisect the angles of the parallelogram, then it must be a RHOMBUS.

d). If the diagonals of a parallelogram are perpendicular and congruent, then it must be a SQUARE.

e). If a parallelogram has four congruent sides, then it must be a SQUARE.

5). Given quadrilateral SELF is a rhombus.

a). All sides of a rhombus are equal,

   Therefore, ES = EL = 25

b). Diagonals of a rhombus bisects the opposite angles,

   Therefore, m∠ELS = m∠FLS

    3x - 2 = 2x + 7

    3x - 2x = 7 + 2

    x = 9

c). Diagonals of the rhombus bisect the opposite angles, and adjacent angles are supplementary.

m∠ELF = 2(m∠ELS) = 2(2y - 9)

m∠LES = 2(m∠LEF) = 2(3y + 9)

And 2(2y - 9) + 2(3y + 9) = 180

(2y - 9) + (3y + 9) = 90

5y = 90

y = 18  

Answer:

Yes

Step-by-step explanation:

The roof is Rectangular :

Dimension of roof section : 7.2 m by 4.4 m

Area of roof = length * width

Area of roof = 7.2 * 4.4 = 31.68 m²

Dimension of solar panels = 1400 mm by 850 mm

Converting to m:

1000mm = 1 m

1400/1000 by 850/1000 = 1.4 m by 0.85 m

Area each solar panel = 1.4 * 0.85 = 1.19 m²

Gap left at each edge :

30cm gap about the 4 edges gives a square with side length 30cm:

30cm = 30/100 = 0.3m

Area of gap left = 0.3² = 0.09 m²

Total area that can be covered = (31.68 - 0.09) m² = 31.59 m²

Maximum number of panels that can be placed on roof section :

Total area that can be covered / area of panel

31.59 m² / 1.19 m²

= 26.54 panels

Answer:

[tex]x1 = - 4.525[/tex]

[tex]x2 = 5.525[/tex]

Step-by-step explanation:

[tex]x1 = \frac{1 - \sqrt{101} }{2} [/tex]

[tex]x2 = \frac{1 + \sqrt{101} }{2} [/tex]

Answer:

16/20

Step-by-step explanation:

Since this is a right triangle

sin theta = opp side / hypotenuse

sin theta = 16/20

Answer:

A.

[tex]{ \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }} \\ \\ { \tt{ \sin( \theta) = \frac{16}{20} }}[/tex]

Answer:

m = (y2 - y1) / (x2 - x1) = (10 - 6) / (3 - 1) = 2    slope of line

y = m x + b standard form of straight line

y = 2 x + b      where b is the intercept at x = 0

b = y - 2 x

b = 6 - 2 = 4    from our first equation

Also, b = 10 - 6 = 4       check from second equation

y = 2 x + 4    is our equation

Check if y = 6 and x = 1 then

y = 2 * 1  + 4 = 6   verifying the first point given

Answer:d

Step-by-step explanation:

Answer:

D

explanation:

i got it right on the test

Answer:

The "!" represents a factorial

Step-by-step explanation:

In math, a factorial when there is an ! followed by a number.

For example, 5! = 5 factorial.

To solve factorials, multiply every integer below the number before the factorial, including the number.

5! = 5 x 4 x 3 x 2 x 1 = 120.

Answer:

-1/9^2 is the power notation for your questions

Step-by-step explanations

Answer:

x:-4,-3,-2,-1,0,1

f(x):-10,0,0,-4,-6,0

from the table we can see when x=0, y=-6

Therefore the y-intercept will be (0,-6)

OAmalOHopeO

The y intercept of the continuous function in the table is given by the relation f ( 0 ) = -6

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

Let the values of x be x = { -4 , -3 , -2 , -1 , 0 }

Let the values of y be y = { -10 , 0 , 0 , -4 , -6 }

Now , the y intercept of the function is when the value of x = 0

So , when x = 0 , the value of y = -6

And , f ( 0 ) = -6

Therefore , the y intercept is ( 0 , -6 )

Hence , the y intercept of the function is ( 0 , -6 )

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Answer: B

Step-by-step explanation:

Using slope formula, change in y (3) over change in x (2) is 3/2. So the equation would be y=3/2x.

Answer:

x = 10

The both line crosses with a little hyphen, meaning those are same

Answered by GAUTHMATH

Answer:

(B) mn+3

Rule of algebra: *INTEGERS*

like sign➡ add

unlike sign➡ subtract

Step-by-step explanation:

Because the m2n2 is got subtract by m and n that's why it bacames a constant mn.

Answer:

[tex](m^{2} n^{2} -7)-(mn+4)[/tex]

[tex]=m^{2} n^{2} -7-mn-4[/tex]

[tex]m^{2} n^{2} -mn-11[/tex]

Option C is your answer

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Hope it helps...

Have a great day!!

Answer:

90n-72=0

Step-by-step explanation:

18×5n-18×4=0

Answer:

Yeah

Step-by-step explanation:

Answer:

missing angle <60 and side lengths 5, 5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

we understand from the given information that  the triangle in question is a special right triangle

and since this is a special triangle the side lengths follows :

the side length that sees <90 is represented by 2x

the side length that sees <60 is represented by x[tex]\sqrt{3}[/tex]

and the side length that sees <30 is represented by x

2x = 10 so x = 5 and  x[tex]\sqrt{3}[/tex] = 5[tex]\sqrt{3}[/tex]

Answer:

6, permutation

Step-by-step explanation:

Book 1, CD 1

Book 1, CD 2

Book 1, CD 3

Book 2, CD 1

Book 2, CD 2

Book 2, CD 3

There are 6 permutations.

Answer:

x = 6

Step-by-step explanation:

log2(x + 5) + log2(x − 5) = log2 11.

We know that loga (b) + log a(c) = log a( bc)

log2(x + 5) (x − 5) = log2(11)

Multiply

log2(x^2 -25) = log2(11)

Raise each side to the power of 2

2^log2(x^2 -25) = 2^log2(11)

x^2 - 25 = 11

Add 25

x^2 -25 +25 = 25+11

x^2 = 36

Taking the square root of each side

x = ±6

But x cannot be negative because then the log would be negative in log2(x-5) and that is not allowed

x = 6

Answer:

x = 6

Step-by-step explanation:

[tex] log_2[/tex] ( x + 5 ) + [tex] log_2[/tex]( ( x - 5 ) = [tex] log_2[/tex] 11

Determined the define range.

[tex] log_2[/tex] ( x + 5 ) + [tex] log_2[/tex]( ( x - 5 ) = [tex] log_2[/tex] (11), x ∈ ( 5, + ∞ )

We know that [tex] log_a ( b ) + log_a ( b ) [/tex] = [tex] log_a( bc) [/tex]

[tex] log_2[/tex] ( x + 5 ) ( x - 5 ) = [tex] log_2[/tex] ( 11).

[tex] log_2[/tex] ( ( x + 5 ) × ( x - 5 ) ) = [tex] log_2[/tex] ( 11).

Use indentity :- ( a + b ) ( a - b ) = a² - b².

[tex] log_2[/tex] ( x² + 25) = [tex] log_2[/tex] ( 11).

Since , the base of the logarithm are the same. set the arguments equal.

x² - 25 = 11.

Move constant to the right-hand side and change their sign.

x² = 11 + 25

x² = 36.

Take square root of each side.

√x² = √36

x = ± 6

x = 6

x = -6, x ∈ ( 5, + ∞ )

Check if the solutions is in determine range.

x = 6