A rectangle has a length of 12 mm and a width of 15 mm. A new rectangle was created by multiplying all of the dimensions by a scale factor of 1 3 . A rectangle with length 12 millimeters and width 15 millimeters. A smaller rectangle with length 4 millimeters and width 5 millimeters. Which statement best describes the change in the perimeter of the new rectangle? The new perimeter will be One-half times the perimeter of the original rectangle. The new perimeter will be One-third times the perimeter of the original rectangle. The new perimeter will be 2 times the perimeter of the original rectangle. The new perimeter will be 3 times the perimeter of the original rectangle.

Answer:

f(-7)=224

Step-by-step explanation:

[tex]f(x) = 4x^2 -4x\\f(-7)= 4(-7)^2 - 4(-7)\\= 4(49) -+28\\=196+28\\f(-7) = 224[/tex]

Answer:

The answer is nine-halves, the last option.

Answer:

The answer will be nine-halves.

Step-by-step explanation:

Answer:The right answer is -8.

Step-by-step explanation:

Answer:

Step-by-step explanation:

We will make a table with the values for both a 6% account and a 9% account.

The formula for this problem is Prt = I, where P is the amount invested in each account, r is the interest rate each carries in decimal form, t is the time in years, and I is the interest earned from the multiplication of the 3 previous values. We don't know how much is invested in either account, but we do know that no matter how much is invested in the 6% account, there is 6 times that in the 9% account. We know that the 6% account has a decimal rate of .06 and that the 9% account has a decimal rate of .09. "Annual" means 1 year, so the time is 1 year. Filling in the table, then:

                     P  *    r     *     t     =     I

Acct 6%         x     .06         1

Acct 9%       6x    .09          1

What we do with those number is multiply them straight across each row to get the amount of interest earned from each:

                    P     *     r     *     t     =     I

Acct 6%       x      *  .06    *    1      =   .06x

Acct 9%      6x     *  .09    *    1      =   .54x

The amount of Interest for both ADDS UP to 800; therefore:

.06x + .54x = 800 and

.6x = 800 so

x = 1333.33

That's how much was invested in the account that earned 6% interest annually.  

Answer:

2. y= -5/3 + 13/3

Step-by-step explanation:

I used Desmos Graphing Calculator

(BTW you have very nice handwriting ;-)

Answer:

2nd option.

Step-by-step explanation:

3(8 - 4x) < 6(x - 5)

24 - 12x < 6x - 30

-12x - 6x < -30 - 24

-18x < -54

x > 3

Answer:

2nd graph

Step-by-step explanation:

3(8 – 4x) < 6(x – 5)

Distribute

24 -12x < 6x -30

Add 12x to each side

24-12x+12x < 6x-30+12x

24 < 18x-30

Add 30 to each side

24+30 < 18x-30+30

54 <18x

Divide by 18

54/18 < 18x/18

3<x

Open circle at 3 and line going to the right

Hey there! :)

Answer:

x = -24.

Step-by-step explanation:

Plug in the values to find the value of 'k':

-3 = k(6)

Divide both sides by 6 to solve for 'k':

-3/6 = k

k = -1/2

Plug this into the equation to solve for the value of x when y= 12:

12 = -1/2(x)

Divide both sides by -1/2:

-24 = x

x = -24.

Answer:

x would be -24

Step-by-step explanation:

since k is a constant, we have to find out what k is from the equation

. -3=6(k) divide both sides by 6 to get that k is -0.5/-1/2.

then, solve for what x is when y is 12 by setting up the equation 12=(-0.5)x. this would result in x being -24

Answer:

m<EAD=29°

m<CAB=119°

Solution,

< CAE+<EAD+90°=180°( angles on a straight line)

61+<EAD+90°=180°

<EAD=180-(90+61)

=180-151

=29°

<CAB+<FAB=180°( Linear pair)

<CAB+61°=180°

<CAB=180°-61°

<CAB=119°

hope this helps ..

Good luck on your assignment..

Answer:

f(x) = (x + 5)² - 21.5

Step-by-step explanation:

Step 1: Subtract both sides by 7

2x² + 20x = -7

Step: GCF and divide

2(x² + 10x) = -7

x² + 10x = -7/2

Step 3: Complete the Square

x² + 10x + 25 = -7/2 + 25

(x +5)² = 43/2

Step 4: Subtract 43/2 to both sides

(x + 5)² - 43/2

And we have our equation!

Answer:

(i) 12.25

(ii) 12.25.

Step-by-step explanation:

(1) cot^2 O = (7/2)^2 = 49/4

= 12.25.

(2) (1 - sin O) ( 1 + sin O)         1 - sin^2 O          cos^2 O

     ----------------------------  =     -------------   =       --------------

    (1 - cos O)(1 + cos O)         1 - cos^2 O         1 - cos^2 O

As cot O = 2/7, tan O = 1 /2/7 = 7/2.

Hypotenuse of the right  triangle = √( 2^2 + 7^2)

= √53

So cos O = 7/√53

Therefore  the original function = cos^2 O / (1 - cos^2 O)

= (7/√53)^2 / (1 -  (7/√53)^2 )

= 49/53 / 4/53

= 49/4.

Answer:

480 in.^3

Step-by-step explanation:

volume of pyramid = (1/3) * (area of base) * height

Since this pyramid has a square for the base, the area of the base is

A = s^2, where s = length of the side of the square

volume = (1/3) * s^2 * h

volume = (1/3)(12 in.)^2 * (10 in.)

volume = (1/3)(144)(10) in.^3

volume = 480 in.^3

The volume of the square-based pyramid is 480 cubic inches as per the concept of the pyramid.

To find the volume of a square-based pyramid, we can use the formula:

Volume = (1/3) x base area x height.

In this case, the base of the pyramid is a square with a side length of 12 inches, and the height of the pyramid is 10 inches.

First, we calculate the base area of the pyramid, which is the area of the square base:

Base area = side length x side length

                = 12 in x 12 in

                = 144 square inches.

Now, we can substitute the values into the volume formula:

[tex]Volume = \frac{1}{3} \times 144 \times 10[/tex].

Multiplying these values, we get:

[tex]Volume = \frac{1}{3} \times1440 {in}^3[/tex]

Simplifying the expression, we have:

[tex]Volume = 480\ in^3[/tex].

To learn more about the pyramid;

https://brainly.com/question/17615619

#SPJ2

Answer:

g(-6) = -5

Step-by-step explanation:

g(x) = 2x + 7

Let x = -6

g(-6) = 2(-6) +7

     = -12 +7

    = -5

Answer:

-5

Step-by-step explanation:

g(x) = 2x + 7

Put x as -6.

g(-6) = 2(-6) + 7

g(-6) = -12 + 7

g(-6) = -5

Answer:

1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

0.5 is said as "five-tenths". This is because it is one place after the decimal. It would then become five-tenths, written as: 510. You would then simplify the fraction: 510=12

// have a great day //

Answer:

36 toilet rolls

Step-by-step explanation:

1 pack consist of 4 rolls

So,

1 pack = 4 toilet rolls

Multiplying both sides by 9

=> 1×9 = 4×9

=> 9 packs = 36 toilet rolls

Answer:

C. y < -1/5x + 1

Step-by-step explanation:

We can eliminate A and B because the inequality sign is incorrect. If we were to graph those, the shaded area would be above the line, not below. We are left with C and D. Notice in our given graph that the line is dotted, so solution on the line are not included. So our answer would be C. because the inequality sign is y is less than and not y is less than or equal to.

Answer:

30.1

Step-by-step explanation:

Answer:

x = -1/8

Step-by-step explanation:

The greater than sign can be replaced with an equal sign to solve.

5x + 4 < 3 – 3x =>

5x + 4 = 3 - 3x =>

+3x  -4    +3x - 4

---------------------------

8x = -1

x = -1/8

Answer:

ED = 6√3 cm

Step-by-step explanation:

This is a 30-60-90 triangle. Remember the rules. Hypotenuse is always 2x. Leg across from 60° is x√3. Leg across from 30° is x.

12 = 2x

x = 6

ED = x√3

ED = 6√3

Answer:

$2466.55

Step-by-step explanation:

We use the formula for Compound Amount, the amount gotten after a particular time, to find the balance:

[tex]A = P(1 + r)^t[/tex]

where P = Principal = $700

r = rate = 6.5% = 0.065

t = time elapsed 20 years

Therefore:

[tex]A = 700(1 + 0.065)^{20}\\\\A = 700(1.065)^{20}\\[/tex]

A = $2466.55

The balance of the account will be $2466.55

Answer: y = 1/2x - 6

Step-by-step explanation:

#4 We are going to use slope intercept form, (y = mx+b)

1. The line crossing the y-intercept at (0,-6)

2. The slope is 1/2 (increasing by 1 then over 2 --> RISE OVER RUN)

3. Make the equation: y= 1/2x - 6

Answer: 3 . y = -1/3 + 4/3   4. y= 1/2x -6

Step-by-step explanation:

3.   In the first graph  they have the coordinates,  (-2,2)  and (4,0). We have to solve for the slope and the y-intercept in other to write and equation.

To find the slope we have to find the change in the y values  and divide it by the difference in the x values.

2-0 = 2

-2 -4 = -6

2/-6 =  -1/3  Now we know that the slope is -1/3  so we need to  find the y-intercept.

2= -1/3(-2) +b   where be is the y intercept.

2= 2/3 + b

-2/3  -2/3

b= 4/3  

Now we could write the equation as  y= -1/3 + 4/3  

4. The same with number 4.  

We will find the slope and the y intercept by using some points on the number line.

(0,-6)  This already have the y-intercept graphed so we will need to just find the slope.

(0,-6)

(4,-4)  

-6 - (-4) = -2

0 - 4 =  -4

-2/-4 = 1/2

Equation: y = 1/2x  -6

Answer:

solution

Marked Price(MP)=£230

Discount percent=16%

Now,

[tex]discount \: amount = discount \: of \: mp \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 16 \: of \: 230 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{16}{100} \times 230 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 36.8 \\ selling \: price = mp - \: discount \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 230 - 36.8 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 193.2[/tex]

hope this helps...

Good luck on your assignment...

Answer:

£193.2

Step-by-step explanation:

MP=  £230

SP= MP - 16%= MP*0.84= £230*0.84= £193.2

Answer:

ab = 2

Step-by-step explanation:

Given equations

ax² +ax + 2 = 0

x² + x + b = 0

root of both the equation

x= 1

then we can plug in x = 1 in both the equation

ax² +ax + 2 = 0                        x² + x + b = 0

a*1² +a*1 + 2 = 0                        1² + 1 + b = 0

a +a + 2 = 0                                 1 + 1 + b = 0

2a + 2 = 0                                    2 + b = 0

2a = -  2                                         b = -2

a = -2/2 = -1

Thus,

a = -1

b = -2

a*b = -1*-2 = 2

ab = 2

Answer:

70

Step-by-step explanation:

180-45-65

pls mark me brainliest i really need it

Answer:

I think its 20, hope this helps.

Answer:

Step-by-step explanation:

[tex]C =2\pi*r\\r = 1\\\pi = 3.14\\C = 2 *3.14*1\\C = 6.28[/tex]

Answer:

[tex]9\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]2\frac{1}{3} \div \frac{1}{4}[/tex]

[tex]\frac{7}{3} \div \frac{1}{4}[/tex]

[tex]\frac{7}{3} \times \frac{4}{1}[/tex]

[tex]\frac{7 \times 4}{3 \times 1}[/tex]

[tex]\frac{28}{3}[/tex]

[tex]9\frac{1}{3}[/tex]

[tex]9 \frac{1}{3} \\ solution \\ 2 \frac{1}{3} \div \frac{1}{4} \\ = \frac{7}{3} \times \frac{4}{1} \\ = \frac{7 \times 4}{3 \times 1} \\ = \frac{28}{3} \\ = 9 \frac{1}{3} [/tex]

Hope it helps...

Good luck on your assignment....

Answer:

3 and 4

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size so here reducing a photograph to half its dimensions and enlarging a photograph to double the dimensions is dilation.

=> For dilation, we use a certain scale factor

=> In the 3rd option, scale factor is 1/2

=> In the 4th option, scale factor is 2.

Answer:

Step-by-step explanation:

Answer:

b=18

a=6√18

Step-by-step explanation:

tan 45=b/18

by cross multiply

b=tan 45×18

=1×18

=18

find (a) by using pythagora's theorem

a^2=18^2+18^2

=324+324

a^2=648

take square root both sides

√a^2=√648

a=√36×18

a=6√18

Hey there! :)

Answer:

D, e - 2b.

Step-by-step explanation:

Check each answer choice using the pattern given:

A. e - c = d because c + d = e. This is correct.

B. b + c = d. This is correct.

C. a + 2b = d because c = a + b. This is correct.

D. e - 2b ≠ d. This is incorrect.

E. f - e = d because d + e = f. This is correct.

Therefore, the only answer that does not equal "d" is D, e - 2b.