3/15 as an improper fraction

Answer:

5^6

Step-by-step explanation:

5 was multiplied repeatedly 6 times, so it's 5 to the power of 6

Answer:

5 to the power of 6 or 5^6

Step-by-step explanation:

[tex]xy =-21~~.....(i)\\\\x+ y=20~~....(ii)\\\\\text{From equation (i):}\\\\xy = -21 \implies y = -\dfrac{21}x~~.....(iii)\\\\\text{Substitute y in equation (ii):}\\\\x - \dfrac{21}x = 20\\\\\implies x^2 -20x -21= 0\\\\\implies x^2 - 21x + x-21=0\\\\\implies x(x-21) +(x-21) =0\\\\\implies (x+1)(x-21)=0\\\\\implies x = -1 ~~\text{or}~~ x =21\\\\\text{Substitute x in equation (iii):}\\\\y = 21 ~~ \text{or}~~ y = -1\\\\\text{Hence,}~ (x,y)=(21,-1) ~~ \text{or}~~ (x,y) = (-1,21)[/tex]

Answer:

A- 8x+9

Step-by-step explanation:

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

5x + 3 (x + 2) + 3

5x + 3x + 6 + 3

8x + 6 + 3

8x + 9

<3

Answer:

1

Step-by-step explanation:

gradient M= change in Y / change in X

= (-16--6)/(-6-4)

= -10/-10

M therefore= 1

Answer:

use this equation: GPE=mgh

Step-by-step explanation:

GPE = gravitational potential energy = J

m = mass = Kg

g = gravitational field = N/kg = world's gravitational field is 9.8N/kg

h = height = m

Answer:

Your answer would be x=2±√5

Step-by-step explanation:

Answer: $113.89

Step-by-step explanation:

108.99 * 0.045

= 4.90455

108.99 + 4.90455

= 113.89455

$113.89

Answer:

Total Cost = $113.89

Step-by-step explanation:

Total Cost = Cell phone cost + sale Tax % ( cell phone cost)

Total Cost = $108. 99 + .045 × $108.99

Total Cost = $108.99 + $4.90455

Total Cost = $108.99 + $4.90

Total Cost = $113.89

Answer:

the answer is expkained below

Answer:

Evans dog would weigh 39 pounds

Step-by-step explanation:

117= 3 × X

Take 117 and divide it by 3 and the answer we would get is 39

117 ÷ 3 = 39

To double check the answer we could multiply 39 by 3 to see if we 117.

39 × 3 = 117

X= 39 pounds, so Evans dog is 39 pounds

Answer:

Step-by-step explanation:

Translate the given into two pairs of coordinates:

Work out the equation of the line passing through both of the points.

Find the slope:

Find the y-intercept:

The line is:

Find the value of y when x = 1500:

(x • (y³)) - 32xyz²

Pull out like factors :

xy³ - 9xyz² = xy • (y² - 9z²)

Factoring: y² - 9z²

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A² - AB + BA - B² =

A² - AB + AB - B² =

A² - B²

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3

Check : y² is the square of y¹

Check : z² is the square of z¹

Factorization is : (y + 3z) • (y - 3z)

Final result :

xy • (y + 3z) • (y - 3z)

Answer:

x=10

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

6x-7 = 26+2x+7

Combine like terms

6x-7 = 2x+33

Subtract 2x

6x-7-2x =2x+33-2x

4x-7 = 33

Add 7 to each isde

4x-7 +7 = 33+7

4x=40

Divide by 4

4x/4 = 40/4

x=10

Answer:

6/8

Step-by-step explanation:

you have to convert each fraction into an improper. because the denominators are already the same, you dont have to worry. once you have it as an impropper, you can now subtract it. 19/8 - 13/8 = 6/8

reduce if you can

Answer:(x-3)² + (y-2)² = 25

Step-by-step explanation:

A circle's equation is (x-h)² + (y-k)² = r². When centered at the origin, h and k equal 0. If you shift the circle, say, one unit up, then k equals 1, and the equation is x² + (y-1)² = r².

So for your circle, the equation would be (x-3)² + (y-2)² = 5² or (x-3)² + (y-2)² = 25.

Answer:

(x - 3)² + (y - 2)² = 25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Here (h, k ) = (3, 2 ) and r = 5 , then

(x - 3)² + (y - 2)² = 5² , that is

(x - 3)² + (y - 2)² = 25 ← equation of circle

Answer:

Step-by-step explanation:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.                                        

Answer:

Answered is x= 55x

Step-by-step explanation:

13x+10 * 12x+20

soln:

or, 13x+12x+10+20

or, 25x+30

:., therefore, x=55x

Step-by-step explanation:

i think this is the answer

Answer:

Step-by-step explanation:

Obtuse angle is the angle greater than 90°.

A right triangle has one 90° and the sum of remaining angles is 90°.

It means a right triangle can't have an obtuse angle.

Answer:

40

Step-by-step explanation:

Answer:

3 / (3t+4) is the answer

By isosceles triangle theorem,

Angle ZXY = Angle ZYX

The sum of the angles in a triangle is 180 degrees.

106 + 2 same angles (-106) = 180 (-106)  (Subtract 106 by both sides)

2 same angles (/ 2) = 74 (/ 2)   (Divide 2 by both sides)

V = 37

Answer:

The value of v is 37°.

Step-by-step explanation:

Given that △ XYZ is an isosceles triangle where both sides have the equal angles. The total angle of △ is 180°. Let ∠ZXY and ∠ZYX be the same angles:

Let ∠ZXY = v, ∠ZYX = v, ∠ XZY = 106°,

∠ZXY + ∠ZYX + ∠XZY = 180°

v + v + 106° = 180°

2v + 106° = 180°

2v = 180° - 106°

2v = 74°

v = 74 ÷ 2

v = 37°

Answer:

Step-by-step explanation:

Answer:

The answer would be D

Step-by-step explanation:

5 1/3 ÷ 2/3 = 8

16/3 ÷ 2/3 = 8

16 ÷2 = 8

Answer:

C(-1, -4)

Step-by-step explanation:

see the point reflected over the line through the vertex point

Answer:

D. Q′ (−4, −3)

Step-by-step explanation:

From looking at the graph it looks like the answer would be

Q= (3, -4) if the X-axis goes first

Q= (-4, 3) if the Y-axis goes first

Answer:its the first one

Step-by-step explanation:

becuase it tells more explanation if you look at the answer or what im saying is problem to make it more simpler.

=======================================================

Explanation:

Let point A be the center of the circle.

The inscribed angle CED doubles to the central angle CAD due to the inscribed angle theorem.

angle CAD = 2*(angle CED)

angle CAD = 2*(7x+6)

angle CAD = 14x+12

Angle CAD is the same as minor arc CD. These are two different ways to describe the same thing more or less. This is because the central angle subtends or cuts off the minor arc CD.

-----------

The three arc pieces CE, ED and CD all combine to form a 360 degree circle.

(arc CE) + (arc ED) + (arc CD) = 360

(18x+1) + (13x+1) + (14x+12) = 360

(18x+13x+14x) + (1+1+12) = 360

45x+14 = 360

45x = 360-14

45x = 346

x = 346/45

This approximates to roughly x = 7.6889, but I have a feeling your teacher will want the fraction form.

the straight up answer is -12/5

Answer:

The right answer is letter C.

Step-by-step explanation:

I hope it's help

have a nice day and night

Answer:

its the first one

Step-by-step explanation:

Answer:

z = -5

Step-by-step explanation:

Hi there!

We are given the equation 57 = -10z + 7, and we want to solve for z

In order to solve an equation for a variable, we want to isolate that variable on one side; in other words, we want just z on one side of the equation.

So that means that we'll need to get rid of everything else that's also on the right side. That starts with subtracting 7 from both sides:

57 = -10z + 7

-7             -7

_____________

50 = -10z

Now on the right side, there aren't any other extra terms, but remember: we want just z (also written as 1z, with the coefficient of 1), not z written with a coefficient of -10

If you divide a number by itself, the result is 1. For example. [tex]\frac{3}{3}[/tex]= 1. So in order to get a coefficient of 1, let's divide both sides by -10

[tex]\frac{50}{-10} = \frac{-10z}{-10}[/tex]

Divide, and cancel:

The zeros cancel out, leaving the equation as:

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

Dividing a number by -1 is pretty much the same as multiplying a number by -1; it simply changes the sign of the number

So 5/-1 will become -5, while -1z/-1 will become 1z, or z

Hence:

-5 = z, or written the other way: z = -5

We found z.

Hope this helps!