what’s the gcf of 56 and 90

We want to see for which values of x does the rational expression make sense. We will see that the expression makes sense for x ≤ 0

We know that the argument of a square root can only be a real number equal to or larger than zero.

In this case, we have the expression:

[tex]\sqrt{(-2x)^2} = (\sqrt{-2x} )^2[/tex]

One would want to directly cancel the square root with the 2 exponent, but we can't do that, because in the right-side expression we would have a complex number if the argument is smaller than zero.

The first thing we need to do is to make the argument equal or larger than zero:

-2x ≥ 0

x ≤ 0/-2

x ≤ 0

So the given expression only makes sense for x ≤ 0

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Answer: No, the answer is All Real Numbers

Step-by-step explanation: e

Answer:

65

Step-by-step explanation:

let's place 9 in place of p and 4 in place of q. I will use a star in place of that symbol for the sake of my convenience having to look for it, apologies.

[tex]9 \star 4 = 9^2-4^2 = 81-16 = 65[/tex]

Answer:

65

Step-by-step explanation:

9^2-4^2=65

Answer:

5

Reasoning

[tex]Diameter=2*radius[/tex]

Answer:

5

Step-by-step explanation:

the radius is always half of the diameter

Answer:

whaat?

Step-by-step explanation:

Answer:

$26.50

Step-by-step explanation:

7.95/3=2.65

2.65*10=26.5

Answer:

$26.50

Step-by-step explanation:

If 3 cookies are 7.95, we can do 7.95/3 to find the cost of 1 cookie.

1 cookie is 7.95/3 = 2.65.

Now, we can find the cost of 10 cookies by simply multiplying 10 to the cost of 1 cookie, which is 2.65*10 = 26.5.

10 cookies will cost $26.50.

The right triangle is assumed to be inscribed in the rectangle, such that

hypotenuse is the diagonal of the rectangle.

Reasons:

Let x and y represent the length of the sides of the rectangle

Whereby the base and height of the right triangle are the same as the

length and width of the rectangle, we have;

Perimeter of the rectangle = 2·x + 2·y = 68

Therefore;

[tex]\displaystyle x + y = \frac{68}{2} = 34[/tex]

x + y = 34

The base of the right triangle = x

The height of the right triangle = y

By Pythagoras's theorem, the length of the hypotenuse side = √(x² + y²)

Therefore; Perimeter of the right triangle = x + y + √(x² + y²) = 60

Which gives;

∴√(x² + y²) = 60 - (x + y) = 60 - 34 = 26

The length of the hypotenuse side, √(x² + y²) = 26 cm

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Answer:

[tex]\left \{ {{x^2+y^2+z^2=434} \atop {x-y-z=0}} \right.[/tex]

Step-by-step explanation:

Answer:

y = -4/3

x = 14/3

Step-by-step explanation:

2x+y=8

x-y=6

First of all, we need the same coefficient, so we can make both of these 2x by multiplying the second one by 2.

2x+y=8

2x-2y=12

Then we need to subtract equation 1 from 2.

3y=-4

Solve normally

y = -1.33333 / -4/3

Substitute

x - (-4/3) = 6

x = 14/3

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

[tex] \red {\mathbb{ \underline { \tt by \: elimination \: method \: s}}}[/tex]

from equation (i):-

[tex]2x - y = 8 \\ x = \frac{8 - y}{2} [/tex]

[tex]x - y = 6 \\ \frac{8 - y}{2} - y = 6 \\ \frac{8 - y - 2y}{2} = 6 \\ 8 - y - 2y = 12 \\ 8 - 3y = 12 \\ - 3y = 12 - 8 \\ - 3y = 4 \\ y = \frac{ - 4}{3} [/tex]

[tex]2x + y = 8 \\ 2x + ( \frac{ - 4}{3} ) = 8 \\ 2x - \frac { 4}{3} = 8 \\ \frac{6x - 4}{3} = 8 \\ 6x - 4 = 8 \times 3 \\ 6x - 4 = 24 \\ 6x = 24 + 4 \\ 6x = 28 \\ x = \frac{14}{3} [/tex]

now,

[tex]2x + y = 8 \\ x - y = 6 \\ - - - - - - - \\ multiply \: eq \: (i) \: by \: 1 \\ and \: eq(ii) \: by \: 2 \\ \\ (2x + y = 8) \times 1\\ (x - y = 6) \times 2 \\ - - - - - - - \\2x + y = 8 \\ 2x - 2y = 12 \\ subtract \: these \\ 3y = - 4 \\ y = \frac{ - 4}{3} \\ [/tex]

put value of y in equation (i)

[tex]2x + y = 8 \\ 2x + ( \frac{ - 4}{3} ) = 8 \\ 2x - \frac { 4}{3} = 8 \\ \frac{6x - 4}{3} = 8 \\ 6x - 4 = 8 \times 3 \\ 6x - 4 = 24 \\ 6x = 24 + 4 \\ 6x = 28 \\ x = \frac{14}{3} [/tex]

Answer:

C

Step-by-step explanation:

Slope of a line that goes trough the points (x1=9, y1=1) and (x2=17, y2=2)

m= (y2-y1)/(x2-x1) = (2-1) / (17-9) = 1/8

Answer: %0.00100010001

Step-by-step explanation:

Answer:

N=48

Step-by-step explanation:

2^9+2^4+48=576

576 is a perfect square

The least value of N that makes [tex]2^9 + 2^4 + N[/tex] a perfect square is 48

The number is given as:

[tex]2^9 + 2^4 + N[/tex]

Evaluate the exponents

[tex]2^9 + 2^4 + N = 512 + 16 + N[/tex]

Add 512 and 16

[tex]2^9 + 2^4 + N = 528 + N[/tex]

The above equation means that:

So, the smallest value of the equation is 576.

The equation becomes

[tex]528 + N = 576[/tex]

Subtract 528 from both sides

[tex]N = 576 - 528[/tex]

[tex]N = 48[/tex]

Hence, the least value of N is 48

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Answer:

If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:

Given :

Volume of rectangular prism

Base Area of a rectangular prism =

 ---- (1)

Solution :

The volume of prism is the amount of space a prism occupies. It has two same faces and other faces that resemble a parallelogram.

Let the height of the prism be h.

Now, substitute the value of base area and volume of the rectangular prism in the given equation (1).

If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:

Step-by-step explanation:

Dividing the volume by the base area, you find the height to be ...

The height of the prism is

If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by (x+1) - 4//(x³ + 3x²+8)

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The volume of prism is the amount of space a prism occupies. It has two same faces and other faces that resemble a parallelogram.

Let the height of the prism be h.

Now, substitute the value of base area and volume of the rectangular prism in the given equation (1).

x⁴ + 4x³ + 3x² + 8x + 4 = (x³ + 3x²+8)h

Divide both sides by  (x³ + 3x²+8)

h=(x⁴ + 4x³ + 3x² + 8x + 4)/(x³ + 3x²+8)

h=(x+1)((x³ + 3x²+8)-4)/(x³ + 3x²+8)

h=(x+1) - 4//(x³ + 3x²+8)

Hence, If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by (x+1) - 4//(x³ + 3x²+8)

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#SPJ7

Answer:

it does have a solution x=0

Step-by-step explanation:

9x+15=3x+15

6x+15=15

6x=0

x=0

Answer:

I agree.

Step-by-step explanation:

Here is my explantion:

[tex]9x+15=3x+15\\\\Simplify:\\9x=3x\\\\Subtract 3x from both sides\\9x-3x=3x-3x\\\\\\Simplify:\\6x=0\\\\Divide both sides by 6\\\frac{6x}{6} =\frac{0}{6}\\[/tex]

Answer:

The measure of <CAO = 21°

Answer:

The length is 40m

Step-by-step explanation:

Length = x

P = 2x + 2W

118 = 2x + 2(19)

118 = 2x + 38

118 - 38 = 2x

     80   = 2x

     80/2 = x

       40 = x   Length

y = amount of $ paid for the job

y  +  $48 = $200          total job for 3 -hours

 y  ÷   3                       amount paid per hour                    

Answer:

8

Step-by-step explanation:

Answer:

95 degrees

Step-by-step explanation:

The sum of all the angles need to come to 360 degrees. We already have 2 90 degree angles, together 180 degrees. Subtract from 360 to get 180, so we know the other two angles together need to equal 180. x + x + 10 = 180

Add common terms, then subtract 10: 2x = 170

Divide by 2: x = 85

So angle F is 85 + 10, or 95 degrees.

Answer:

#9 the answer is 7

Step-by-step explanation:

so start with what you know. the sum of the angles in a triangle equal 180 degrees

so...

(x + 13) + (17x - 7) + 48 = 180

now just combine like terms

18x + 54 = 180

18x = 126

x = 7

Answer:

c 15.9 m

Step-by-step explanation:

you are welcome

Answer:

-√32 < 59/11 < √30 < 5.49

Answer:

that is the correct answer.

Step-by-step explanation:

Answer:

[tex]\left(y-5\right)^2=-14\:\left(x-\frac{7}{2}\right)[/tex]

Step-by-step explanation:

Answer:

x=(y-5)^2/14 +7/2

Answer:

3321

Step-by-step explanation:

Answer:

Translation 2 units up and 4 units to the left.

Answer:

B

Step-by-step explanation: