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4vir4ik [10]
4 years ago
11

Rectangle ABCD has vertices A(1, 0, B(1, 3), C(3, 0), and D(3, 3). Graph ABCD and its translation 3 units to the left and 4 unit

s down.
PLEASE HELP. worth a lot of points
Mathematics
1 answer:
professor190 [17]4 years ago
6 0
A(-2,-4);B(-2,-1);C(0,-4);D(0,-1)
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Hey can you please help me posted picture of question
MAXImum [283]
Answer:
The solutions of the equation are:
4/3 and 5/8

Explanation:
To get the solution of the equation, we can either solve it algebraically or graphically.

1- algebraic solution:
The general form of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
24x² - 47x + 20 = 0
By comparison, we can find that:
a = 24
b = -47
c = 20

Now, to get the roots, we will use the quadratic equation shown in the attached image.

Substituting in the equation, we would find that:
either x = \frac{-(-47) +  \sqrt{(-47)^2-4(24)(20)} }{2(24)} =  \frac{4}{3}
or x = \frac{-(-47) - \sqrt{(-47)^2-4(24)(20)} }{2(24)} = \frac{5}{8}

2- graphical solution:
To get the solution means to get the values of the x-intercepts.
Graphing the function (see attached image), we would find that the solutions are:
0.625 which is equivalent to 5/8 
and 1.3333 which is equivalent to 4/3

Hope this helps :)

3 0
3 years ago
Taylor plans to use $2100 to open a savings account with an annual interest rate of 1.85%. How much more interest will he earn o
Ymorist [56]
Taylor will earn $21 more in compounded interest than in simple interest.

Given:
Principal = 2100
interest rate = 1.85%
term = 8 years

Simple Interest = Principal * interest rate * term
 = 2100 * 1.85% * 8
 = 310.80

Compounded Interest = Principal * (1+r)^t
= 2100 * 1.0185⁸
= 2100 * 1.158
= 2431.80

Interest from Compounded Interest : 2431.80 - 2100 = 331.80

Simple Interest = 310.80
Compounded Interest = 331.80

331.80 - 310.80 = 21 
6 0
3 years ago
During the national day celebrations.Asha decorates her balcony with serial lights of red,green and white colours.The red light
expeople1 [14]

If all three coloured lights blink together at 8:49 pm, they will blink together at 8:50 pm

<u>Solution:</u>

Given that the red light blinks at intervals of 4 seconds, the green at 5 seconds and the white at 6 seconds.

If all three colored lights blink together at 8:49 pm,

We have to find when will they blink together again?

First let us know, at what intervals they all together blink.

For that we have to find the lcm of 4, 5, 6.

L.C.M (4, 5, 6) = 2 x L.C.M(2, 5, 3)

As 2,3,5 are primes, we can’t take common further, so multiply all  

= 2 x 2 x 5 x 3

= 4 x 15  = 60

So, after every 60 seconds = 1 minute they will blink.

Then, after 8 : 49 pm, they will blink at 8 : 49 + 1 = 8 : 50 pm.

Hence, they all blink at 8 : 50 pm.

6 0
3 years ago
3. Ms. Turner's garden has side lengths of V17 yards and V24 yards.
Sloan [31]

Answer:

Mr. Webster's garden is greater than Ms. Turner's garden by 282 sq. yards.

Step-by-step explanation:

Representing the length of the garden by l and width of the garden by w.

For turner's garden, given that l= 24 yards and w= 17 yards.

As the area, A, of the rectangular garden having  length l and width w is

So, the area of Ms. Turner's garden, = 24x17=408 sq. yards

For turner's garden, given that l= 5 yards and w= 138 yards.

So, by using equation (i),

the area of Mr. Webster's garden, = 5x138=690 sq. yards

Here, A_2 > A_1, and  

= 690-408= 282 sq. yards.

Hence, Mr. Webster's garden is greater than Ms. Turner's garden by 282 sq. yards.

6 0
3 years ago
Find the product 3X×15X²​
andreyandreev [35.5K]

Answer:

45x³

Step-by-step explanation:

Given

3x × 15x²

= 3 × 15 × x × x²

= 45 × x³

= 45x³

7 0
3 years ago
Read 2 more answers
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