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lutik1710 [3]
4 years ago
6

Sergey is solving 5x2 + 20% – 7 = 0. Which steps could he use to solve the quadratic equation by completing the

Mathematics
2 answers:
Mrac [35]4 years ago
6 0

Answer:

5(x^2+4x)=7

5(x^2+4x+4)=7+20

(x+2)=\pm\sqrt{\frac{27}{5}}

Step-by-step explanation:

we have

5x^2+20x-7=0

step 1

Group terms that contain the same variable, and move the constant to the opposite side of the equation

5x^2+20x=7

step 2

Factor 5 left side

5(x^2+4x)=7

step 3

Complete the square

5(x^2+4x+2^2)=7+2^2(5)

5(x^2+4x+4)=7+20

5(x^2+4x+4)=27

step 4

Rewrite as perfect squares

5(x+2)^2=27

step 5

(x+2)^2=\frac{27}{5}

(x+2)=\pm\sqrt{\frac{27}{5}}

(x+2)=\pm\frac{3\sqrt{15}}{5}

step 6

x=-2\pm\frac{3\sqrt{15}}{5}

ki77a [65]4 years ago
4 0

Answer:

b, c, and d

Step-by-step explanation:

I took the test

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(05.05 LC)
Phantasy [73]

Answer:

A. $6

Step-by-step explanation:

We are given the table representing the number of days and the total charges in dollars.

So, the rate of change of the amount is given by, \frac{16-6}{1-0}=\frac{26-16}{2-1}=10

The linear equation representing the situation is,

Total charges = Fee per days + Fixed amount.

i.e. Total charges, y = Rate multiplied by x + Fixed amount (c)

So, substituting the rate and the point (0,6), we get,

6 = 10 × 0 + c

i.e. c = 10

Thus, the equation is,

Total charges, y = Rate multiplied by x + Fixed amount (c)

i.e. y = 10x + 6

Hence, the fixed amount charged is $6.

So, option A is correct.

4 0
4 years ago
I am feeling nice so whoever answers gets These
77julia77 [94]

Answer:

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Step-by-step explanation:

I was first

7 0
2 years ago
Read 2 more answers
In the following triangle theta=60.Find the values of the angles of the angles B and B'
Contact [7]

Answer:

180-60 = 120 if triangle is not equilateral it cannot be isosceles then depending where the angles are they will show  60,60,60 if equilateral

For isosceles it would need to be 58 61 61 as 60, 60,60 cannot be isosceles.

Vectors 60 if right angled triangle = 90-60 = 30

So angles = 30 and 90 degree or just 120 if angle theta is a vector as explained below.

Step-by-step explanation:

Statement: If two vectors are represented by the sides of a triangle both in magnitude and direction taken in order, the resultant sum of the vectors is given by the closing third side of the triangle taken in the reverse order both in the magnitude and direction

5 0
3 years ago
What is the length of DE
irina1246 [14]
The answer is b.6, you set up a proportion of the corresponding sides in both triangles...12/9=8/x solve for x and get 6.
8 0
3 years ago
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HELP PLS!!!! IM GONNA GIVE YOU THE BRANLIEST ANSWER!!!
djverab [1.8K]

Answer:

25

Step-by-step explanation:

By counting the height ( frequency ) of each block and adding gives the number of students in total

20 - 24 → 5

24 - 28 → 6

28 - 32 → 5

32 - 36 → 2

36 - 40 → 7

Total = 5 + 6 + 5 + 2 + 7 = 25

4 0
3 years ago
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