Rectangle a´,b´,c´,d´ is the image of rectangle a,b,c,d after which of the following rotations?

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vlada-n [284]

Answer:

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4 0

3 years ago

Read 2 more answers

Please evaluate the equation

snow_lady [41]

Step-by-step explanation:

$= \sum \limits_{n = 1}^{7} ( - 2. {6}^{n - 1} )$

$= \sum \limits_ {n = 1}^{n_{ \text{max}}} (a_1. {r}^{n - 1} )$

$\:$

$a_1 = - 2$

$n = 7$

$r = 6 \to r >1$

$\:$

• Find S7.

$s_n = a_1.( \frac{ {r}^{n} - 1}{r - n} )$

$s_7 = - 2.( \frac{ {6}^{7} - 1 }{6 - 1} )$

$s_7 = - 2.( \frac{279.936 - 1}{5} )$

$s_7 = - 2.( \frac{279.935}{5} )$

$s_7 = - 2 \: . \: 55.987$

$s_7 = - 111.974$

The answer is B.

8 0

2 years ago

A cake tin is 25cm in diameter. how many cake tin can jenny fit on the oven tray at one time

Papessa [141]

Divide the area of the oven tray by the area of the cake tin.

To find the area of the cake tin do $\pi r^{2}$

5 0

3 years ago

Dave's Doughnuts sells a dozen doughnuts for $5.40. What is the unit cost per doughnut?

Otrada [13]

Answer: The cost per donut is 0.45

Step-by-step explanation: A dozen donuts is 12 donuts. $5.40 dollars divided by 12 is 0.45.

7 0

3 years ago

Help please asap

padilas [110]

These are 2 questions and 2 answers:

1. Question 1: The area of a rectangular carpet is given by the trinomial 5x^2 - 3x - 14. What are the possible dimensions of the carpet? Use factoring.

Answer: 5x^2 -3x -14

Explanation:

You might probe the different pairs of factors given in the answer choices to check wich product is equal to the oirginal polynomial or you can factor from zero.

I will show you how to factor that polynomial from zero:

1) given: 5x^2 - 3x - 14

2) multiply and divide by the leading coefficient =>

5 [5x^2 - 3x -14 ]
----------------------
 5

3) Enter the the factor 5 inside the parenthesis:

5.5x^2 - 5.3x - 5.14
--------------------------
 5

4) rearrange conviniently to show (5x) as a common factir of the first two terms

(5x)^2 - 3(5x) - 70
--------------------------
 5

5) factor the numerator using 5x as common term of the two binomials:

(5x ) ( 5x ) <----> open the parenthesis
(5x - ) (5x + ) <-----> include the signs
(5x - 10) (5x + 7) <---> two numbers that add up - 3 and their product is - 70

=>

(5x - 10)(5x + 7)
---------------------
 5

6) divide (5x - 10) by 5 => x - 2

7) factored expression

(x - 2) (5x + 7)

8) Conclusion: the answer is the option B. (5x + 7) and (x - 2)

2. Question 2. The area of a rectangular barnyard is given by the trinomial 6x^2 + 7x – 20. What are the possible dimensions of the barnyard? Use factoring

Answer: option C. (2x + 5)(3x - 4)

Explanation:

The procedure is the same of the question 1.

1) given: 6x^2 + 7x - 20

2) multiply numerator and denominator by 6 and rearrange to show (6x) as common factor ot the first two terms =>

(6x)^2 + 7(6x) - 120
--------------------------
 6
3) factor the numerador using 6x as common factor ot two binomials, and simplify:

(6x + )(6x - )
(6x + )(6x - )
(6x + 15) (6x - 8)

=>

(6x + 15)(6x -8)
---------------------
 6

(6x + 15)(6x - 8)
---------------------- =
 3.2

(6x + 15) (6x - 8)
------------- . ------------ =
 3 2

(2x + 5)(3x - 4)

4) answer: option C. (2x + 5)(3x - 4)

6 0

3 years ago