question in the image please help!!

By solving a quadratic equation, we will see that the border must measure 1 inch.

The dimensions of the paper are 8 inches by 11 inches. If we have a border of width X all around the text, the dimensions of the text will be:

8 in - 2x by 11in - 2x.

The area of this rectangle will be:

A = (8 in - 2x)*(11in - 2x)

And we know that the area must be 54 square inches, then we need to solve:

54 in^2 =  (8 in - 2x)*(11in - 2x)

54 in^2 = 88 in^2 - (2x)*8in - (2x)*11in + 4x^2

54 in^2 = 88 in^2 - (38 in)*x + 4x^2

This is a quadratic equation, we can rewrite this as:

0 = 4x^2 - (38 in)*x + 88 in^2 - 54 in^2

0 = 4x^2 - (38 in)*x + 34 in^2

The solutions are given by Bhaskara's formula, these are:

[tex]x = \frac{-(-38 in) \pm \sqrt{(-38 in)^2 - 4*4*(34 in)^2} }{2*4} \\\\x = \frac{-(-38 in) \pm 30 in }{8} \\[/tex]

We only care for the solution that is on the wanted range, so we use the negative sign of the plus-minus sign.

x = (38 in - 30 in)/ = 1 in

So the border must measure 1 inch.

If you want to learn more about quadratic equations, you can read:

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Answer: three more

Step-by-step explanation:

these are tally marks, one tally mark counts as one, during the fifth mark, it goes sideways across the other four. There are three more students who wanted cookies rather than popcorn because when you minus the numbers of students cookies from popcorn, you get three

Hope this helps

Please give brainliest

Thank you so much

Answer:

[tex]\log_{12}144=2[/tex]

Rewrite 144=[tex]12^{2}[/tex] in a different form:

[tex]\Downarrow[/tex]

[tex]\log_{12}144=2[/tex]

I hope this helps you

:)

Answer:

Please follow me back

Step-by-step explanation:

The Answer is 158

The smaller and the larger hexagons both have 6 sides

The length of each side of the larger hexagon

The given parameters are:

Smaller side, l =  10

Scale factor = 5 : 7

Represent the length of each side of the larger hexagon with L.

So, we have:

l : L = 5 : 7

Substitute 10 for l

10 : L = 5 : 7

Multiply the ratio by 2

10 : L = 5 *2 : 7  *2

Evaluate the product

10 : L = 10 : 14

By comparison, we have:

L = 14

Hence, the length of each side of the larger hexagon

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Answer: 175x + 20 ✅

Step-by-step explanation: 12x^2 + 31x = 175x

175x + 20

Answer:

I'm not sure what the question is.  I don't see an "=" sign, so I'll assume this is simply an expression and we are asked to factor it.

(4x+5)(3x+4)

Step-by-step explanation:

(4x+5)(3x+4) = 12x^2 + 31x + 20

If the equation is = 0, the solutions are x = -(3/4) and x = -(5/4)

Answer:

250,000e^0.013t, where t is the number of years since 2000. In what year will the population reach 450,000?

Step-by-step explanation:

Two corresponding sides and two corresponding angles are equal

Answer:

C(x) = 30x + 108.17

Hope this helps!

x = training sessions

$30 for each session (x) (independent variable)

$65. 94 and $42. 23 for monthly costs (fixed variable)

C(x) = 30x + (65.94+42.23)

C(x) = 30x + 108.17

Answer:

  30%

Step-by-step explanation:

To find the percentage spent on English, divide the amount of time spent on English by the total time, and express the fraction as a percent.

  Yesterday's time: Math, 35 minutes; English, 15 minutes

  English/Total = (15)/(15 +35) = 15/50 = 3/10

As a percentage, that is ...

  3/10 × 100% = 30%

Yesterday, you spent 30% of your homework time on English.

Answer:

2= 43°

1=137°

3= 137°

Step-by-step explanation:

.this is because 43° and 2 are vertically opposite angles.

.this is because 1 and 43° are on a straight line and angles on a straight line sum up to 180°.

.this is because 1 and 3 are vertically opposite angles.

Answer:

Using volume formula in terms of cylinder and use units such as yd carefully for conversions

Step-by-step explanation:

Diameter = 3 yd

Radius (r) = 3/2 = 1.5 yd

height (h) = 4 yd

Volume (V) = πr²h

                 =π * (1.5)² * 4 =π *2.25 *4

                 = 9π cubic yd

Given :-

To Find :-

Solution :-

Firstly lets calculate radius of cylinder, as we know that;

Putting all values we get;

➸ Radius = 5/2

➸ Radius = 2.5 yd

Now let's calculate its volume, as we know that;

Putting all values we get;

➸ Volume(cylinder) = 3.14 × (2.5)² × 4

We can write it as;

➸ Volume(cylinder) = 3.14 × 4 × 2.5 × 2.5

➸ Volume(cylinder) = 12.56 × 6.25

➸ Volume(cylinder) = 78.5 cubic yd

Answer:

c. 73°

Step-by-step explanation:

Simply GNH is 47° by vertically opposite angle of MNL

NOW,

GNF+GNH+HNK=180° [ being straight line]

60+47+HNK=180

107+HNK=180

HNK=180-107=73

Answer: 71

Step-by-step explanation:

Answer:

So longest side is 6 units more then the shorter side

The third side is twice the length of the shortest side

The perimeter (all 3 sides added up) is 25.

What’s the 3 sides of the triangle.

So lets make variables.

Let’s make the shortest side of the triangle “s”.

The longest side is 6 units more then the shorter side so

S + 6 is the longest side.

The third side is twice the length of the shortest side so

2S is the third side

S of course is already the shortest side now solve.

s + 6 + 2s + s = 25 <— This is your equation

Now solve

4s + 6 =25

4s = 19

s = 4.75

The shortest side is 4.75

The longest side is 4.75 + 6 which is 10.75

The third side is 2 times the shortest side which is 4.75 * 2 which is 9.50

Answer:

Perimeter of a shape = sum of length of all sides

Let x = shortest side

Given:

⇒ perimeter:   x + (x + 6) + 2x = 25

                                      4x + 6 = 25

                                             4x = 19

                                               x = 4.75

Therefore,

Answer:

Its true

Step-by-step explanation:

Hope this helped<3

Answer:

cccccccccccccccccccc

Step-by-step explanation:

cccccccccccccccccccccccc

Answer:

In terms of pi: 100pi cm

In terms of 3.14: 314 cm

Step-by-step explanation:

The formula for area of a circle is pi*r². If we plug in the values, we can figure out the answer.

Answer: 20

Step-by-step explanation:

Assuming g(x) = -4x + 1,

( -4 (-4) + 1) - (-4 + 1)

= (16 + 1) - (-3)
= 17 + 3

= 20

Answer:

10.9 pounds

Step-by-step explanation:

50 ÷ (2.3*2) = 10.869

Answer:

-55

Step-by-step explanation:

3*(-5)+4*(-4)+6*(-3)+3*(-2)=(-15)+(-16)+(-18)+(-6)=(-55)

Answer:

Step-by-step explanation

1/4s squared, square root of 32

bh3. A = pi(r) squared4

1/2 h (b1+ b2)5

pi(d)6 base x altitude7

1/2(ap)8

1/2(bh)

Answer:

he started driving 5:00 while was 492miles from his destination he drove for extra 5hours while he was 330 miles from his destination then his final destination will be 8:00 to 9:00

Answer:

x=2

Step-by-step explanation:

The minimum value of the function would be its vertex, where the x-coordinate is defined as [tex]x=-\frac{b}{2a}[/tex] in the form of [tex]ax^2+bx+c=0[/tex], so we expand the function first:

[tex]f(x)=(x-2)^2+4\\\\f(x)=x^2-4x+4+4\\\\f(x)=x^2-4x+8[/tex]

This is now in the form of [tex]ax^2+bx+c=0[/tex] and we use our rule:

[tex]x=-\frac{b}{2a}\\ \\x=-\frac{-4}{2(1)}\\ \\x=-\frac{-4}{2}\\ \\x=-(-2)\\\\x=2[/tex]

Thus, the minimum value of the function occurs when x=2

Answer:

Point P is [tex](\frac{\pi}{2},1)[/tex]

Point Q is [tex](\pi,0)[/tex]

Step-by-step explanation:

We know that the function [tex]y=sin(x)[/tex] has a period of [tex]2\pi[/tex] and that it oscillates between [tex]-1\leq y\leq1[/tex]. So, point P must be [tex](\frac{\pi}{2},1)[/tex], and point Q must be [tex](\pi,0)[/tex].

Answer:

1)  (3 - 6x)(-8) = (-8)(3) - (-8)(6x) = -24 - (-48x) = -24 + 48x = 48x - 24

2) (-12)(2x - 3) = (-12)(2x) - (-12)(3) = -24x - (-36) = -24x + 36 = 36 -  24x

3) (10 - 2x)9 = (9)(10) - (9)(2x) = 90 - 18x

4) (-5)(11x - 2) = (-5)(11x) - (-5)(2) = -55x - (-10) = -55x + 10 = 10 - 55x

5) (1 - 9x)(-10) = (-10)(1) - (-10)(9x) = -10 - (-90x) = -10 + 90x = 90x - 10

6) (-6)(x + 8) = (-6)(x) + (-6)(8) = -6x + (-48) = -6x - 48

7) (-4 + 3x)(-8) = (-8)(-4) + (-8)(3x) = 32 + (-24x) = 32 - 24x

8) (-5)(1 - 11x) = (-5)(1) - (-5)(11x) = -5 - (-55x) = -5 + 55x = 55x -5

9) (-12x + 14)(-5) = (-5)(-12x) + (-5)(14) = 60x + (-70) = 60x - 70

Step-by-step explanation:

The distributive property is a(b + c) = ab + ac

The two (2) methods that can be used to add these user accounts to Active Directory are:

Account management can be defined as a process through which administrators store, manage, monitor and optimize a database (accounts) on a computer system, especially for improved performance, availability and security.

In a database management system (DBMS), when many user accounts require an action, it is often most efficient and effective for the administrator to use an automatic method to perform the action.

In this context, the two (2) methods that can be used to add these user accounts to Active Directory without a manual creation of each account from scratch include the following:

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