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sveta [45]
2 years ago
12

(MULTIPLE CHOICE QUESTION)

Mathematics
2 answers:
Aloiza [94]2 years ago
7 0

Answer: B

Step-by-step explanation:

lesya692 [45]2 years ago
3 0

Answer:

option 2

Step-by-step explanation:

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Help please asap
padilas [110]
These are 2 questions and 2 answers:

<span>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: </span><span><span>option C. (2x + 5)(3x - 4)</span>

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)</span>
6 0
3 years ago
What is the length of DE
HACTEHA [7]

Answer:

DE = 20units

Step-by-step explanation:

In Δ ABC,

angle A is congruent to angle B.... (given)

therefore, ΔABC is an isoceles triangle.

therefore, CA = CB..... (side opposite to congruent angles are congruent in an isoceles triangle)

therefore, CB = 4 units

In ΔCDE,

angle D is congruent to angle E.... (given)

therefore, ΔCDE is an isoceles triangle.

therefore, CD = CE

therefore, CD = 8 units

ΔCDE ~ ΔCBA

therefore,

\frac{cd}{cb}  =  \frac{ce}{ca} =  \frac{de}{ab}   \\ therefore \:  \frac{8}{4}  =  \frac{8}{4}  =  \frac{de}{10 }  \\ therefore \\  \frac{2}{1 }  =  \frac{de}{10 }  \\ de \:  = 2 \times 10 = 20units

8 0
3 years ago
When constructing parallel lines with a compass and straightedge, how should you start the construction?
kykrilka [37]
I believe its d because that was what I was doing 2days ago
6 0
3 years ago
Read 2 more answers
The point-slope form of a line is y - y1 = m(x-x1), where m is the slope and (x1,
Vlada [557]

Answer

False

FalseThe correct point slope form passing through points (x1,y1) is (y-y1)=m (x-x1)(y−y1)=m(x−x1) 

4 0
3 years ago
Solve photo question, please. Mathematics.
skelet666 [1.2K]
Slope point form:
We need the slope "m" and a point (x₀,y₀)
y-y₀=m(x-x₀)


1)
we calculate the slope "m".
Given two points:
(x₁,y₁)
(x₂,y₂) 
the slope "m" is:
m=(y₂-y₁) / (x₂-x₁)

In this case:
(4,10)
(6,11)
m=(11-10) / (6-4)=1/2

Now, we calculate the solpe point form.
(4,10)
m=1/2

y-y₀=m(x-x₀)
y-10=(1/2)(x-4)

we make the standard form
y-10=x/2 - 2

Lowest common multiple=2

2y-20=x-4
-x+2y=-4+20
-x+2y=16

Answer:  -x+2y=16


3 0
3 years ago
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