m (slope) =
b ( y - intercept) =
x - intercept =​

Answer:

[tex]x+\sqrt{x+3}=3+3\sqrt{1-x}[/tex]

[tex]Remove~ Square ~root[/tex]

[tex]-36x^3+252x^2-540x+324=[/tex]

[tex]x^4-32x^3+286x^2-480x+225[/tex]

[tex]Now ~\mathrm{Switch\:sides}[/tex]

[tex]x^2-6x\sqrt{-x+1}-15x+18\sqrt{-x+1}+18=x+3[/tex]

[tex]\mathrm{Subtract\:}x^2-15x\mathrm{\:from\:both\:sides}[/tex]

[tex]x^2-6x\sqrt{-x+1}-15x+18\sqrt{-x+1}+18-\left(x^2-15x\right)=[/tex]

[tex]x+3-\left(x^2-15x\right)[/tex]

[tex]New ~Simplify[/tex]

[tex]-6x\sqrt{-x+1}+18\sqrt{-x+1}+18=-x^2+16x+3[/tex]

[tex]Subtract ~18~ from ~ both~ sides[/tex]

[tex]-6x\sqrt{-x+1}+18\sqrt{-x+1}+18-18=-x^2+16x+3-18[/tex]

[tex]Simplify[/tex]

[tex]-6x\sqrt{-x+1}+18\sqrt{-x+1}=-x^2+16x-15[/tex]

[tex]Now~ factor:[/tex]

[tex]-6x\sqrt{-x+1}+18\sqrt{-x+1}(-x+3)[/tex]

[tex]6\sqrt{-x+1}\left(-x+3\right)=-x^2+16x-15[/tex]

[tex]Solve~~-36x^{3}+252x^{2} -540x+324=x^{4} -32x^{3} +286x^{2} -480x+225=[/tex]

[tex]x=1,\:x=-3[/tex]

Answer:

c)

subtract 5 times the second equation from 2 times the first equation

Step-by-step explanation:

subtract 5 times the second equation from 2 times the first equation

This will make the coefficient of the y variable 10

for both equations

10y - 10y = 0

leaving only x

Answer:

Step-by-step explanation:

Hope this helps u !!

Step-by-step explanation:

[tex] \frac{ {x}^{a + b} \times {x}^{b + c} \times {x}^{c + a} }{ {x}^{2a} \times {x}^{2b} \times {x}^{2c} } \\ \\ = \frac{ {x}^{a + b + b + c + c + a} }{ {x}^{2a + 2b + 2c} } \\ \\ (∵ {x}^{m} \times {x}^{n} = {x}^{m + n} ) \\ \\ = \frac{ {x}^{2a + 2b + 2c} }{ {x}^{2a + 2 b+ 2c} } \\ \\ = 1[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]

Answer:

[tex]\sqrt{105}[/tex] is slightly more than 10, so 15 - [tex]\sqrt{105}[/tex] is less than 5.

Step-by-step explanation:

Given expression is (15 - √105).

Since, √105 ≈ Slightly greater than 10 [Since, [tex]\sqrt{100}=10[/tex]]

Therefore, when we subtract the value of [tex]\sqrt{105}[/tex] from 15,

15 - [tex]\sqrt{105}[/tex] = Slightly less than 5

From the given options answer will be,

[tex]\sqrt{105}[/tex] is slightly more than 10, so 15 - [tex]\sqrt{105}[/tex] is less than 5.

Answer:

24

Step-by-step explanation:

use a calculator for these type of problems next time!

the answer to this equation would be 24x

Answer:

[tex]x = 51^o[/tex]

Step-by-step explanation:

Given

Intersecting lines

Required

Find x

To do this, we make use of:

[tex]x + 23^o + 2x + 4^o = 180^o[/tex] --- angle on a straight line

Collect like terms

[tex]x + 2x = 180^o - 4^o - 23^o[/tex]

[tex]3x = 153^o[/tex]

Divide both sides by 3

[tex]x = 51^o[/tex]

Answer:

no

Step-by-step explanation

3,6,9

Answer: Hay 13 mujeres. (No hablo espanol.)

Answer:

I think its Your Values, but try and a get a second opinion

Answer:

B

Step-by-step explanation:

It goes up and right

i think its C.No;the system has many solución

Answer:

thanks the quark is w wl1pp39iejbs sthe akwyve s akw9u27 2babe

Answer:

The angle is 60°

Step-by-step explanation:

A supplement angle is the angle whose sum is equal to 180°.

The supplement angle = 180° - x

A complement angle is the angle whose sum is equal to 90°.

The complement angle = 90° - x

Given,

supplement angle = 4 × complement angle

(180° - x) = 4 × (90° - x)

180° - x = 360° - 4x

4x - x = 360° - 180°

3x = 180°

x = 60°

The supplement angle = 180° - x

⇒ 180° - 60°

⇒ 120°

The complement angle = 90° - x

⇒ 90° - 60°

⇒ 30°

Answer:

The angle is 60 degrees.

Step-by-step explanation:

Let the angle be x.

Then its supplement = 180-x.

Its complement = 90-x, so we have the equation:

180 - x = 4(90 - x)

180 - x = 360 - 4x

-x + 4x = 360 - 180

3x = 180

x= 60 degrees.

Answer:

30/100×150=

24/5%, that is the answer

Answer:

A) y=4+x

Step-by-step explanation:

Since the initial amount was 4 gallons, any additional fuel added will be in addition to that.

Answer:

0.5

Step-by-step explanation:

From the graph given ;

The vertical distance ; y - axis :

(y2 - y1) ; y2 = 2 ; y1 = 1

y2 - y1 = 2 - 1 = 1

The horizontal distance ; the x - axis :

(x2 - x1) ; x2 = 4 ; x1 = 2

x2 - x1 = 4 - 2 = 2

The slope ; the rate of change :

Change in y / change in x

The rate of change ;

(y2 - y1) / (x2 - x1) = 1 / 2

Answer:

yes , it is a right triangle.

Step-by-step explanation:

according to the pythagoras theorem to be the right angled triangle the sum of square of two smaller sides of triangle must be equal to the square of it's hypotenuse.

Here , 65 is largest side so it is hypotenuse and other two sides are the legs of the triangle.

pythagoras theorem:

a^2 + b^2 = c^2

16^2 + 63^2 = 65^2

256 + 3969 = 4225

4225 = 4225

since both sides are equal it can be concluded that the given side lengths d forms a right triangle.

Answer: 24+6=30

Step-by-step explanation:

Football(6)  rugby(2)  hiking(3)

the order it gave you the info was football then rugby then hiking they way it gave you the number was 6,2,3 so football was said first and the number 6 was said first so football matches up with 6 therefore just add the two number and you get 30

Answer:

What are the answers?

Answer:

29 feets 3 inches

Step-by-step explanation:

We need to obtain the actual height of oak tree :

Converting measurement to inches :.

1 Feet = 12 inches

Shanice height, SA = 5ft 10 in = (12*5 + 10) = 70 in

Shanice shadow, SS = 7ft 6in = (12*7 + 6) = 90 in

Tree shadow, TS = 74ft 3 in =(12*74 + 3) = 891 in

Let actual tree height = TH

Using the relation :

SA / SS = TH / TS

70 / 90 = TH / 891

Cross multiply :

90 * TH = 891 * 70

TH = (891 * 70) / 90

TH = 693 inches

Height of house = 28ft 6 in = (28*12 + 6) = 342 in

Height difference :

(693 - 342) in = 351 inches

351 in / 12 = 29 feets 3 inches

Answer:

a=18-3 and b=32÷8

Step-by-step explanation:

the first one

Answer:

3.1 in

Step-by-step explanation:

a² + b² =c²

12=c

11.6=b

c²- b² = a²

12²-11.6²= 9.44

√9.44 = 3.07 Rounded = 3.1 in

Answer:

17) just take the root of 100. the text says its square(d).

10m

And checking it gives 10m * 10m = 100m²

18) you need to learn some square numbers to ace this topic. it isn't that complicated, just multiply natural numbers with themselves

like

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

Now we can see that a) sqrt(55) lies between 7 and 8, and that its value is somewhere in between

7 < a < 8

(ignoring the negative solution to the root oc)

try b, c and d yourself. if you struggle, leave a comment.

I got a problem finding exercises 19 to 21, seriously....

22) well...

a * b = 18ft²

6ft * 3ft seems just right. pure guesswork here, seems to be to easy with these numbers.

but we can also write it as a system of two functions

a * b = 18ft²

a = 2b

and then solve it by substituting a in line one with 2b, since a is 2b this is allowed.

2b * b = 18

2 b² = 18

b² = 9

b = 3

(we ignore -3 as a solution bc negative length makes no sense)

plugging that b into line two of the system gives

a = 2 * 3

a = 6

27) rationale can we written as a ratio (a fration)

it almost sounds too simply

rationals are either the root of square numbers, bc they can be solved cleanly, or they got a repeating pattern after the point.

b and c apply to these rules, a and d not

30) lol, I just figured out where the missing exercises are hidden XD

31) just add up the three rectangles (easy part) with the two triangles top and bottom each triangle is just 12m * 16m / 2 (bc it's a triangle, not a rectangle). since you got two triangles you just multiply by two (it's like ignoring the decision. also, the two triangles together would indeed make just a n9ce rectangle).

if you really need the values, leave a comment, but that will not help you in any test.

you can also post your solutions and I'll check them.

32) area of the circle times two

plus area of a rectangle wrapped around the cylinder.

circle are is pi*r² -> pi * (28 in)²

(remember to double for two circles)

rectangle is the circumference of the circle (pi * 28in) times the height of the cylinder

like in 31), feel free two post your results or ask for values if you really struggle to grasp the pattern here.

hope you have a great day and that you understand some more of the topic. you can ace it :)

Answer:

a and b

no the definitions have opposite results

Step-by-step explanation:

Answer:

90.6

Step-by-step explanation:

total is 181.2 divided by 2 is 90.6

Answer:

you should draw it in your graph sis

give me some points i have question two

Step-by-step explanation:

Answer:

D. 5

Step-by-step explanation:

Applying,

cos∅ = adjacent/Hypotenuse

From the diagram,

Given: ∅ = 45°, adjacent = s, hyptenuse = 5√2

Therefore,

cos45° = s/5√2

make s the subject of the equation

s = cos45°×5√2

s = (1/√2)(5√2)

s = 5

Hence the right answer is D. 5

Answer:

The 4th one

Step-by-step explanation:

The number are times -4

-3 x -4 = 12

-6 x -4 = 24

-9 x -4 = 36

So, the answer is the 4th one