Given that a+b=6
And (a)square+(b)square =72
Find the value of 3b-3a

Answer:

2.80

Step-by-step explanation:

Seeing that your scale is 1cm to 1unit to on both axes

If you add a point C then draw lines connecting them it should look like the diagram above

But the distance between A to C and B to C are both 2 cm

Giving you a right angled triangle

So using the Pythagoras theorem

AB²=AC²+BC²

AB²=2²+2²

AB²=4+4

AB²=8

Take square root of both sides

√AB²=√8

AB= 2.828

To the nearest tenth that will be

AB=2.80

Answer:

3x^2-4x+2

Step-by-step explanation:

Just took it

Trust me

Answer:

[tex]secA = \frac{65}{63}[/tex]

Step-by-step explanation:

[tex]cosec A = \frac{65}{16}\\\\sin A = \frac{1}{cosecA} = \frac{16}{65}\\\\cos^2 A = 1 - sin^2 A[/tex]

        [tex]= 1 - (\frac{16}{65})^2\\\\=\frac{4225-256}{4225}\\\\=\frac{3969}{4225}\\[/tex]

[tex]cos A = \sqrt{\frac{3696}{4225}} = \frac{63}{65}[/tex]

[tex]secA = \frac{1}{cosA} = \frac{65}{63}[/tex]

Answer:

[tex]x^2 = 2y[/tex] --- equation

[tex](x,y) = (0,\frac{1}{2})[/tex] --- focus

[tex]y = -\frac{1}{2}[/tex] --- directrix

[tex]Width = 2[/tex] ---- focal width

Step-by-step explanation:

Given

[tex]depth = 2[/tex]

[tex]diameter = 4[/tex]

Required

The equation of parabola

The depth represents the y-axis. So:

[tex]y = 2[/tex]

The diameter represents how the parabola is evenly distributed across the x-axis.

We have:

[tex]diameter = 4[/tex]

-2 to 2 is 4 units.

So:

[tex]x = [-2,2][/tex]

So, the coordinates of the parabola is:

[tex](-2,2)\ and\ (2,2)[/tex]

The equation of the parabola is calculated using:

[tex]x^2 = 4py[/tex]

Substitute (-2,2) for (x,y)

[tex](-2)^2 = 4p*2[/tex]

[tex]4 = 8p[/tex]

Divide by 8

[tex]p = \frac{4}{8}[/tex]

[tex]p = \frac{1}{2}[/tex]

So, the equation is:

[tex]x^2 = 4py[/tex]

[tex]x^2 = 4 * \frac{1}{2} * y[/tex]

[tex]x^2 = 2y[/tex]

The defining features

(a) Focus

The focus is located at:

[tex](x,y) = (0,p)[/tex]

[tex](x,y) = (0,\frac{1}{2})[/tex]

(b) Directrix (y)

[tex]y = -p[/tex]

[tex]y = -\frac{1}{2}[/tex]

(c) Focal width

[tex]Width = 4p[/tex]

[tex]Width = 4*\frac{1}{2}[/tex]

[tex]Width = 2[/tex]

Answer:

y = 2x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2 , then

y = 2x + c ← is the partial equation

To find c substitute (3, 5) into the partial equation

5 = 6 + c ⇒ c = 5 - 6 = - 1

y = 2x - 1 ← equation of line

Step-by-step explanation:

Its C

Answer:

The answer is 129

Step-by-step explanation:

5(exponent 4)/5 = 125 +4 equals 129

I think

Answer:

129

Step-by-step explanation:

5^4 / 5   + 4

We know that a^b / a^c = a^(b-c)

5^(4-1) +5

5^3 +4

125 +4

129

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

Explanation:

E = event space = {5,6}

The event space represents the set of all things we want to happen: namely rolling a 5 or a 6, since they are larger than 4.

S = sample space = {1,2,3,4,5,6}

The sample space is the set of all possible outcomes, whether we want them to happen or not. We have 6 possible outcomes.

Divide the number of items in each set

n(E) = 2

n(S) = 6

probability = n(E)/n(S) = 2/6 = 1/3

There's a 1 in 3 chance of rolling a number greater than 4.

Answer: x^2-9x+1

Step-by-step explanation:

x^2-7x-7 d(x-1)

(you would just replace x to (x-1)

(x-1)^2-7(x-1)-7

(solve by square rooting (x-1)(x-1) then foil)

x^2-9x+1

Answer:

x = -5 ±4sqrt(2)

Step-by-step explanation:

(x+5)²=32

Take the square root of each side

Sqrt((x+5)²)=±sqrt(32)

x+5 = ±sqrt(16*2)

x+5 = ±4sqrt(2)

Subtract 5 from each side

x+5-5 = -5 ±4sqrt(2)

x = -5 ±4sqrt(2)

Answer:

[tex] {x}^{2} + 2x + 1 = 17 \\ {x}^{2} + 2x - 16 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - 2± \sqrt{68} }{2} \\ x = \frac{ - 2±2 \sqrt{17} }{2 } \\ x = - 1± \sqrt{17} [/tex]

Answer:

2

Step-by-step explanation:

she will have 2 arangments of one rose and two daisies.

Answer:

2

Step-by-step explanation:

group off the daisies and rose

2 Rose's

4 raises

in order to make it identical

group 1 consist of ( 1 rose and 2 daisies)

group 2 consist of (1 rose and 2 daises)

only 2 bouquets

Answer:

aef true and bcd false

hope u get well in your exams

Step-by-step explanation:

Answer:

yes angle measures 84°as they are alternate angles

Answer:

zero

Step-by-step explanation:

everything is theoretically possible

Answer:

-7/4

Step-by-step explanation:

change in y over (/) change in x

or

f(b) - f(a) over (/) b - a

= 2-(-5) / -3-1

= 2+5 / -3-1

= 7 / -4

Answer:

Step-by-step explanation:

x - 3y = -13

x = -13 + 3y

3 * (-13 + 3y) + 7y = 25

-39 + 9y + 7y = 25

16y = 64

y = 4

3x + 7 * 4 = 25

3x = -3

x = -1

Answer: (-1, 4)

Answer:

35 or A

Step-by-step explanation:

This is a combinations problem because the order doesn't matter (it's a council, not like president and v.p.). C(7, 3) is 7!/(4!*3!) = 7*6*5/3*2 = 35. Hope this helps! :)

Answer:

[tex]5x+8x+10-3=72\\13x=65\\x=5\\reapplying\\5(x+2)=5*7=35\neq (\frac{72}{2}=36 )[/tex]

No it's not the Midpoint

Answer:

b

Step-by-step explanation:

Answer: its B.

Step-by-step explanation:

have a good day hope this help

Answer:

B.3

Step-by-step explanation:

just divide 6 by 2

Answer:

1/6 (simplified)

Step-by-step explanation:

It's 3/18, but in most cases you should simplify unless it says to not.

Step-by-step explanation:

Given

Two lines are [tex]4x+3y=6[/tex] and [tex]6x+2y=10[/tex]

Two lines [tex]a_1x+b_1y=c_1[/tex] and [tex]a_2x+b_2y=c_2[/tex] will intersect when

[tex]\dfrac{a_1}{a_2}\neq \dfrac{b_1}{b_2}[/tex]

for the given lines

[tex]a_1=4,a_2=6,b_1=3,b_2=2[/tex]

[tex]\therefore \dfrac{4}{6}\neq \dfrac{3}{2}\\\\\dfrac{2}{3}\neq\dfrac{3}{2}[/tex]

Hence, lines are intersecting

Answer:

Step-by-step explanation:

Think of it as if he paid for each ticket with one $20 bill.

He gets $3 change from each one so his total change is $(

Answer:

1/3 = 1 serving

2/3 =2 servings

1 cup= 3 servings

so if one cup is 3 servings we can multiply 3 x 6 for an answer of 18 servings

Answer: 70 degrees because 180-110= 70. Hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area of 1 face is s^2

The area of 6 faces is 6s^2

6s^2 = 433.5                 Divide by 6

s^2 = 433.5 / 6

s^2 = 72.25                   Take the square root of both sides

sqrt(s^2) = sqrt(72.25)

s = 8.5

Normally you would find the volume of parallelepiped by using L * W * H

Since L W and H are all equal in a cube, the volume = s^3

S^3 = 8.5^3 = 614.125