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Licemer1 [7]
3 years ago
7

How to simplify 4r + 4s + 3r + 3s + 5p

Mathematics
2 answers:
ratelena [41]3 years ago
8 0

Answer: 7r + 7s + 5p

Step-by-step explanation: mr. shrek, im a big fan *debbie ryan smailes*

(^///^)

Tems11 [23]3 years ago
7 0

Step-by-step explanation:

4r + 4s + 3r + 3s + 5p \\ 4r + 3r + 4s + 3s + 5p \\ 7r + 7s + 5p

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Which of the following equations have complex roots?
mestny [16]

Answer:

A

Step-by-step explanation:

Complex roots of quadratic functions occur when the <u>discriminant is negative</u>.

<u>Discriminant</u>

b^2-4ac\quad\textsf{when}\:\:ax^2+bx+c=0

Evaluate the discriminant of each of the given equations.

\textsf{A.} \quad 3x^2+2=0

\implies a=3, \quad b=0, \quad c=2

\implies b^2-4ac=0^2-4(3)(2)=-24

As -24 < 0 the equation will have complex roots.

\textsf{B.} \quad 2x^2+1=7x

\implies 2x^2-7x+1=0

\implies a=2, \quad b=-7, \quad c=1

\implies b^2-4ac= (-7)^2-4(2)(1)=41

As 41 > 0 the equation does not have complex roots.

\textsf{C.} \quad 3x^2-1=6x

\implies 3x^2-6x-1=0

\implies a=3, \quad b=-6, \quad c=-1

\implies b^2-4ac=(-6)^2-4(3)(-1)=48

As 48 > 0 the equation does not have complex roots.

\textsf{D.} \quad 2x^2-1=5x

\implies 2x^2-5x-1=0

\implies a=2, \quad b=-5, \quad c=-1

\implies b^2-4ac=(-5)^2-4(2)(-1)=33

As 33 > 0 the equation does not have complex roots.

Learn more about discriminants here:

brainly.com/question/27444516

brainly.com/question/27869538

Learn more about complex roots here:

brainly.com/question/26344541

6 0
2 years ago
In centimeters, what is the unknown length in this right triangle
Ilya [14]

Answer:

11

Explanation:

(next time, it would be helpful to include a picture)

If you were on the same test as I was, than that means that the triangle you're looking for is the one below.

Using the Pythagorean Theorem,

a² + b² = c² is the same as c² - b² = a²

c = 61

61^2 =  61 X 61 = 3,721  

b = 60

60^2 = 60 X 60 =  3,600  

Next, we subtract:

3,721 - 3,600 = 121  

√121 = 11

(x = 11 cm)

so 11 is your answer

3 0
3 years ago
Read 2 more answers
The graph compares the number of filled tables at a party with the number of party guests. Which information tells you that the
Galina-37 [17]

Answer:

B

Step-by-step explanation:

A proportional relationship is represented by linear function with its linear parameter "b" equal to zero. Since b is equal to zero, the line passes through the origin and the function/relation is proportional.

To verify that we divide the y coordinate over the x coordinate we obtain a constant called k, which is the slope.

For instance:

y=2x

According to this function we can easily check a proportional relationship among its points:

(1,2), (2,4), (4,8), (6,12), ...

k=\frac{y}{x}=\frac{2}{1}=\frac{4}{2}=\frac{12}{6}\Rightarrow k=2

3 0
3 years ago
Read 2 more answers
What is the area of the figure?
Vanyuwa [196]

Answer: 42.5 m

Step-by-step explanation:

Split the figure into a rectangle and a triangle.

Find the areas of the rectangle and the triangle seperately and add them together.

Rectangle: 7 x 5 = 35

Triangle: 5 x 3/2 = 7.5

35+7.5= 42.5m

8 0
3 years ago
Read 2 more answers
Cho hàm số y f x32 x 1 .a, Tìm y khi x nhận các giá trịx2, x 32.b, Tìm x đểf x42, f x2 1.
solniwko [45]

Step-by-step explanation:

walang sasagot niyan kung iba yung letters na senend mo

8 0
3 years ago
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