Figure ABCD is shown on the coordinate plane. Suppose a graphic designer wants to dilate the figure so that the resulting image has a smaller area than figure ABCD. Describe a way the designer can achieve this type of dilation.

Answer:

a=-2

b=3

Step-by-step explanation:

Solve the system of equations.

2a -5b = -19

3a + 5b = 9

Add the two equations together.

2a -5b = -19

3a + 5b = 9

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

5a  =            -10

Divide by 5

5a/5 = -10/5

a = -2

Now we can find b

2a-5b = -19

2(-2) -5b = -19

-4 -5b = -19

Add 4 to each side

-5b = -15

Divide by -5

b = 3

a=-2

b=3

Given

2a-5b=  -19     (equation1)

3a+5b =  9       (equation2)

now add both equation 1 and equation 2

                           2a-5b=-19

                           3a+5b= 9

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

                             5a = -10          (as +5b and -5b get canceled)

5a = -10

a = -2

(substitute in equation 2 or in equation 1)

3(-2)+ 5b= 9

-6 +5b =9

5b = 9+6

5b = 15

b= 3

therefore

a= -2

b= 3

verification:

2(-2)-5(3) = -19

-19 = -19

hence verified.

Jamal can order number of different combinations is 500.

A combination is a selection of all or a portion of a group of items, regardless of the sequence in which the items are chosen.

Given:

Jamal is deciding what to order at the ice cream shop.

He can choose a plain cone, sugar cone, chocolate cone, dish, or waffle cone, and he can have mint, vanilla, cookie dough, strawberry, or chocolate ice cream.

The number of cone is 5.

The number of ice cream flavor is 5

He can have hot fudge, caramel, raspberry, or butterscotch sauce, and he can choose candy bar, nuts, cookies, chocolate chips, or gummy bears as a topping.

The number of different combinations,

= 5 x 5 x 4 x 5

= 500

Therefore, The number of different combinations is 500.

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Answer:

y-intercept : 8

slope: -1/2

equation:   [tex]y = -\dfrac{1}{2}x + 8[/tex]

Step-by-step explanation:

The y-intercept is where the line crosses the y axis and you can see it crosses at y = 8 (when x =0)

Slope of the line can be found by the formula (y2-y1) / (x2-x1)  where 9x1, y1) and (x2, y2) are two points on the line

Let's take the points (0, 8) and (10, 3) the two extreme points on the line

Slope = (3 - 8) / (10 - 0) = -5 / 10 = - 1/2

Equation of a line in slope intercept form is

y = mx + c

where m is the slope  

b is the y intercept

The equation of the line is therefore

[tex]y = -\dfrac{1}{2}x + 8[/tex]

Answer:

Y-intercept = 8

Slope = -1/2t

Equation = y =-1/2x+8

Step-by-step explanation:

When x = 0, y = y-intercept.

Therefore, the y-intercept is 8.

We can find the slope using the formula y2-y1 / x2-x1 = m.

Let's use the points (0,8) and (4,6)

6-8 / 4-0 = m;

m = - 1/2.

Given that the generic formula is y=mx+b, and m-slop and b=y-intercept, we have:

y = -1/2x+8.

The formula for calculating simple interest is:

Simple Interest = (Principal x Rate x Time) / 100

Where:

Principal = the initial amount of money (the "principal sum")

Rate = the interest rate (expressed as a decimal or percentage)

Time = the length of time the interest is applied (usually in years)

It's important to note that simple interest is a method where the interest is calculated only on the original principal sum, not on any accumulated interest.

The simple interest formula is

i = P*r*t

where,

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

An example:

You borrow $500 at a simple interest rate of 2% over 3 years

Use those values to compute the following:

i = P*r*t

i = 500*0.02*3

i = 30

The amount of interest only is $30; meaning the total amount to pay back is $500 + $30 = $530

Answer: 24x+24y=48

Step-by-step explanation:

ok so you want to make a equation for this problem

im going to take you in step by. ill show you the problem in short glimpse.

using lemon juice and olive oil.

ill explain this is a normal equation for a line y=mx+b but this equation is ax+by=c this means there is 2 variables in so the answer is to fill in the letters they gave us so 48/2 is 24 per cup and the total is 48.

She wants to make 48 ounces of the mixture

with the little information that they gave to us the answer is 24x+24y=48

Answer:

28 grams

Step-by-step explanation:

.

Answer: y=4x-3

Step-by-step explanation:

You need to find (change in y)/(change in x) to find slope. 4/1=4. So the slope is 4. Then find the y intercept which is (0,-3). So the equation in slope intercept form is y=4x-3.

Answer:

a = 81

Step-by-step explanation:

109 + a = 180

a = 81

Answer: The person who answered is correct! :)

(I was just double checking and the person is correct)

Step-by-step explanation:

Answer: 45.

Step-by-step explanation: I'm not the greatest at math but I do believe that is the answer.

Answer:

C

Step-by-step explanation:

most of data is around 52

Answer:Most of that data is around 52.

Step-by-step explanation: well i agree with the first answer but sorry if im wrong.

A: The bank is located at (4, 8)

B: The lake is located at (9, 2)

C: The deli is located at (3, 3)

D: The bakery is located at (9, 6)

Answer:

Mr. Martinez drove 216.66 miles.

Step-by-step explanation:

75-36=39
39/0.18=216.66

Answer:

its c or the third one

Step-by-step explanation:

don't know

iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Answer: The train travels 50 miles per hour

Step-by-step explanation:

You already figured out the slope! The explanation is that the train travels 50 miles each hour.

The Slope Intercept form of the equation would be y=50x

If you substitute x with any number you can solve to see how much hours the train traveled.

So the train travels 50 miles per hour!

I hope this is what you needed help with!

Answer:

the answer should be B

Step-by-step explanation:

using advanced methods of taking tests and doing multiple choice I've come to realization the answer is never A and if the answer is a then you are wrong. the teachers always think that you're going to guess C so the answer will never actually be C. the last answer is D and the teacher will never make the answer D because who actually uses D. therefore using this advanced process of elimination we have cut the terms that answer should be and most definitely will be totally 100% be B. Trust

The answer is : d (2,6,18,54,162)

the geometric sequence formula : a+ ar^1 +ar^2+ar^3+...........

where r= common ratio

the sequence is : 2,6,18,54,162

  r = An/An-1         ( as per the formula)

  r = 162/54 = 3

  r = 54/18 = 3

lly common ratio =3

in the given options the only option d satisfies all  the conditions  of the geometric sequence

verification :

a= 2

ar^1 = 2*3 = 6

ar^2 = 2*9 =18

ar^3 = 2*27 = 54

ar^4 = 2*81 = 162

hence verified   the sequence  is 2,6,18,54,162

Answer:

The number expressed in the models below is 0.63 (six tenths and three hundredths)

Step-by-step explanation:

It is represented as follows:

One flat represents 1 whole, so there are 0 whole numbers

One rod represents 1 tenth, so there are 6 tenths (represented by 6 rods)

One unit represents 1 hundredth, so there are 3 hundredths (represented by 3 units)

Answer: its c i just took the flvs test

Step-by-step explanation:

The experimental probability that the card selected was a J, Q, or K is 1/3.

It is a branch of mathematics that deals with the occurrence of a random event.

Given that  a gamer drew one card and recorded its value.

They continued this for a total of 100 draws.

Card         A   2  3  4 5 6 7 8 9 10 J Q K

Frequency 4  7  5  6 7 6 8 10 7 10 8 12 10

The total number of cards drawn is 4+7+5+6+7+6+8+10+7+10+8+12+10 = 90.

The number of cards drawn that are either a J, Q, or K is 10+8+12 = 30.

Therefore, the experimental probability of drawing a J, Q, or K is:

30/90 = 1/3

Hence,  the experimental probability that the card selected was a J, Q, or K is 1/3.

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Answer:

I think it's 77 I'm not sure get back to me on it

Answer: The left side 2.5 does not equal to the right side 0.8, which means that the given statement is false. False

Step-by-step explanation:

Answer:

7.49

Step-by-step explanation:

When rounding, if it is below 4 you round down, but above 5 is rounded up. Also, you look to the decimal closest to the number you are rounding. So, the greatest possible number is 7.49.

Answer:

It is likely that you roll a 2 and a 5. There are 36 possible combinations when rolling two dice, and one of those combinations is a 2 and a 5. Therefore, the probability of rolling a 2 and a 5 is 1 in 36, which is considered likely.

Answer:

x=-3

Step-by-step explanation:

x*x-1*1=-4

x-1=-4

x-1+1=-4+1

x=-3