James wants to draw a line diagonally across a rectangular piece of paper. If the paper measures 9 inches by 12 inches, what
is the minimum length of the straight edge he needs to make the line?
15 inches
21 inches
3 inches
108 inches

Answer:

x ≥ 2

Step-by-step explanation:

The inequality would be: x * 8 ≥ 16

8x ≥ 16

x ≥ 16/8

x ≥ 2

Hope this helps!

Answer:

x*8 > 16

Step-by-step explanation:

product  means multiplaction and x and 8 are being multiplied so x*8 and the answer is not less than or at least 16

Answer: $46,619

»» 288.44 / 0.7%

»› 41,205

»» 45 x 120.33

»» 5,414

A=41,205

A=5,414

A=46,619

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Answer:

5.7 litres

Step-by-step explanation:

The salt is not a liquid so you do not need to add it in.

4.5 litres + 1.2 litres = 5.7 litres

Answer:

A

Step-by-step explanation:

I just took This test

Answer:

suplementary

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

hope this helps

have a great day/night :)

Answer:

[tex]s=20[/tex]

Step-by-step explanation:

By the Exterior Angle Theorem, we know that the exterior angle is equal to the sum of the two, opposite interior angles.

In other words:

[tex]4s=(3s-20)+(2s)[/tex]

Solve for s. Combine like terms:

[tex]4s=5s-20[/tex]

Subtract 5s from both sides:

[tex]-s=-20[/tex]

And divide both sides by negative one. Therefore:

[tex]s=20[/tex]

Answer:

24ft,36ft2

The perimeter is the sides multiplied by 4 and area is the square of sides the larger the sides the larger the perimeter and area

Step-by-step explanation:

Perimeter = 6*4= 24feet

Area=          6*6= 36feet2    

Answer:

below

Step-by-step explanation:

base * height = area of a parallelogram

7/2 × 3/4

=21/8 feets

Answer:

132 people bought balcony seats and 450 people bought ground seats.

Step-by-step explanation:

We want to solve the system of equations:

[tex]\left\{ \begin{array}{ll} 15b+10g=6480 \\ b+g=582 \end{array} \right[/tex]

We can solve this by using substitution. From the second equation, we can subtract b from both sides:

[tex]g=582-b[/tex]

In the first equation, we can divide both sides by five:

[tex]3b+2g=1296[/tex]

Substitute:

[tex]3b+2(582-b)=1296[/tex]

Distribute:

[tex]3b+1164-2b=1296[/tex]

Simplify:

[tex]b+1164=1296[/tex]

Solve for b:

[tex]b=132[/tex]

Using the modified equation again, substitute:

[tex]g=582-(132)[/tex]

Evaluate:

[tex]g=450[/tex]

Therefore, 132 people bought balcony seats and 450 people bought ground seats.

Given:

The two points C(2,-1) and D(5,3) on a coordinate plane.

To find:

The distance from C to D.

Solution:

The distance between two points is defined by the distance formula.

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The two points are C(2,-1) and D(5,3). Using the distance formula, we get

[tex]CD=\sqrt{(5-2)^2+(3-(-1))^2}[/tex]

[tex]CD=\sqrt{(3)^2+(3+1)^2}[/tex]

[tex]CD=\sqrt{(3)^2+4^2}[/tex]

On further simplification, we get

[tex]CD=\sqrt{9+16}[/tex]

[tex]CD=\sqrt{25}[/tex]

[tex]CD=5[/tex]

The distance from point C to D is 5 units. Therefore, the correct option is A.

Answer:

19

Step-by-step explanation:

6×(6+14) = 5×(5+z)

120 = 25 + 5z

95 = 5z

z = 19

Answer:

(x+3)² + (y-2)² = 16

Step-by-step explanation:

the equation of a circle is

(x-a)² + (y-b)² = r²

with (a,b) being the center, and r the radius.

Answer:

1277.5

Step-by-step explanation:

365 days in a year. If he walks daily 3.5 miles, then 3.5*365

3.5*365= 1277.5

9514 1404 393

Answer:

  A.  54

Step-by-step explanation:

The area of a parallelogram is the product of its base length (9) and height (6). The height is measured perpendicular to the base. That is why the height it 6, not 6.06.

  A = bh = 9·6 = 54

Answer:

the area of the circle is the number of boxes in the box minus no .of boxes in circle....

hay claudia do u remember me

Answer: C. The y-intercept is 13 spaces lower.

Step-by-step explanation:

Answer:

Step-by-step explanation:

8x-9+2+9x=180 degree(being co interior angles)

17x-7=180

17x=180+7

x=187/17

x=11 degree

Answer:

11

Step-by-step explanation:

consecutive interior angles always equal to 180 degrees, so you would add both equations together and equal it to 180 degrees. you would then simplify and solve.

8x-9 + 2+9x = 180

-7 + 17x = 180

-7+7     180+7 = 187

17x = 187

17x/17 = 187/17

x=11

Answer:

-x²+8x-15

Step-by-step explanation:

There are two solutions: 3 and 5

First, let's write the equation in this form (pay attention, the parabola here is going up so it won't be like your graph):

(x-3)(x-5)

For resolve our problem, let's re-write it with a minus before:

-(x-3)(x-5)

You can also expand it and the result will be like this:

-x²+8x-15

Answer:

[tex]f(x)^-^1=\sqrt[3]{\frac{x+9}{4}}[/tex]

Step-by-step explanation:

Finding the inverse of a function is essentially doing a given function in backwards order. An easy trick to doing such is to treat the evaluation (f(x)) like a variable. Think of the function as an equation, then solve the function for (x) in terms of (f(x)).

[tex]f(x)=4x^3-9[/tex]

Inverse operations,

[tex]f(x)=4x^3-9\\\\(f(x))+9=4x^3\\\\\frac{((f(x))+9)}{4}=x^3\\\\\sqrt[3]{\frac{(f(x))+9}{4}}=x[/tex]

Now put this in the form of an inverse function, switch the places of the terms (x) and (f(x)), remember to indicate that it is an inverse function,

[tex]f(x)^-^1=\sqrt[3]{\frac{x+9}{4}}[/tex]

Answer:

1 /3

Step-by-step explanation:

We know that a^-b = 1/a^b

9^-1/2 = 1/9^1/2

The sqrt (9) =3

1 /3

Answer:

Quadrant IV or D

Step-by-step explanation:

It is Quadrant IV or D, since it is a positive x (meaning it must be 1 or 4) and it has a negative y (so 3 or 4). You then find the common answer which is 4 or IV.

Answer:

Step-by-step explanation:

according to the question equation is

y=1/3*(x+2)

y=x+2/3

Answer:

:)

Step-by-step explanation:

PB , radius = 12cm

[tex]Area = \pi r^2 \frac{\theta}{360}[/tex]

       [tex]= \pi \times 12^2 \times \frac{74}{360}\\\\=92.99 \ cm^2\\= 93 \ cm^2[/tex]

You have the right idea so far, but you forgot to finish it up.

Point slope form is

y - y1 = m(x - x1)

where m is the slope, and (x1,y1) is the point the line goes through. As you can see, we have infinitely many choices for (x1,y1). If you use the y intercept point (0,5), then

y - y1 = m(x - x1)

y - 5 = -1(x - 0) ..... this is one of infinitely many possible answers

OR

If you use the point (2,3), then we'd say

y - y1 = m(x - x1)

y - 3 = -1(x - 2) ..... which is another possible answer

There are infinitely many other choices, but I'm only picking the points in which your teacher has shown as big dots.

By the way, nice work on getting the correct answer for the slope-intercept form.

Step-by-step explanation:

(0,5)and (2,3)

[tex] m = \frac{y1 - y2}{x1 - x2} \\ = \frac{5 - 3}{0 - 2} \\ = - 1 \\ \\ m = - 1 \\ substitude (0,5)or (2,3) \\ substitude \: (0,5)for \: convenience \\ y = - 1x + b \\ 5 = b \\ y = - x + 5[/tex]

Brianliest please~

Answer:

$455.4 For The Year

Step-by-step explanation:

Kevin  pays $ 37.95 per month for his cell phone with unlimited minutes

First, We know that there are 12 months in 1 year.

Therefore, 1 year = 12 months

The cost per month = $ 37.95

So, have to find the cost for 12 months

Cost for 12 months = 12 x 37.95

Cost for 12 months = 455.4

So your solution to the problem is $455.4 Cost for the year.

Answer:

opción D

Step-by-step explanation:

El número más bajo es -2

Número mayor que -2 es -1

Número mayor que -1 es 0

Número mayor que 0 es 4

Entonces, el orden de mayor a menor es 4> 0> -1> -2

Por tanto, la opción D es correcta

Answer: A

Step-by-step explanation:

x/32 = 18/13

Answer:

X=8

Step-by-step explanation:

[tex](8 \sqrt{2} ) ^{2} = {x}^{2} + {x}^{2} \\ 128 = 2 {x}^{2} \\ {x}^{2} = \frac{128}{2} \\ {x}^{2} = 64 \\ x = 8[/tex]