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ella [17]
2 years ago
5

(URGENT!!!! WILL MAKE BRAINLIEST) Write a quadratic equation with -4 and 3/2 as its roots. Write the equation in the form ax² +

bx + c = 0, where a, b, and c are integers. SHOW YOUR WORK!
Mathematics
1 answer:
LekaFEV [45]2 years ago
5 0

Answer:

2X^2+5/2X-3/2=0

Step-by-step explanation:

To identify the equation use the following method

(X-a)(X-b)=0

Put values

a=-4

b=3/2

(X+4)(X-3/2)=0

X^2+4X-3/2X-3/2=0

X^2+(8X-3X)/2-3/2=0

X^2+5/2X-3/2=0

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What are the coordinates of the point on the directed line segment from (-6, -3) to
melamori03 [73]

Given:

A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5.

To find:

The coordinates of that point.

Solution:

Section formula: If point divides a line segment in m:n, then the coordinates of that point are

Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5. Using section formula, we get

Point=\left(\dfrac{6(5)+5(-6)}{6+5},\dfrac{6(8)+5(-3)}{6+5}\right)

Point=\left(\dfrac{30-30}{11},\dfrac{48-15}{11}\right)

Point=\left(\dfrac{0}{11},\dfrac{33}{11}\right)

Point=\left(0,3\right)

Therefore, the coordinates of the required point are (0,3).

3 0
3 years ago
Write an expression/equation/inequality represented by the following statements. NO NEED TO SOLVE
serious [3.7K]

Answer:

a. n - 11 \le 14

b. 5n - 10 < 4(n - 8)

Step-by-step explanation:

a. A number decreased by 11 is at most 14.

n - 11 \le 14

b. Ten less than five times a number is less than four times the number decreased by eight.

5n - 10 < 4(n - 8)

8 0
2 years ago
Solve by completing the square
Sveta_85 [38]

\qquad\qquad\huge\underline{{\sf Answer}}☂

Let's solve ~

\qquad \sf  \dashrightarrow \:  {x}^{2} + 8x = 33

\qquad \sf  \dashrightarrow \:  {x}^{2} + 8x +16 = 33 + 16

\qquad \sf  \dashrightarrow \: (x + 4) {}^{2}  = 49

\qquad \sf  \dashrightarrow \: x + 4 =  \sqrt{49}

\qquad \sf  \dashrightarrow \: x + 4 =  \pm7

Hence, there are two solutions ~

  • 1. when x + 4 = 7

\qquad \sf  \dashrightarrow \: x + 4 = 7

\qquad \sf  \dashrightarrow \: x = 7 - 4

\qquad \sf  \dashrightarrow \: x = 3

  • 2. when x + 4 = -7

\qquad \sf  \dashrightarrow \: x + 4 =  - 7

\qquad \sf  \dashrightarrow \: x  =  - 7 - 4

\qquad \sf  \dashrightarrow \: x  =   - 11

I hope you understood ~

8 0
2 years ago
What is the constants and coefficients for 2m+3m-m
galben [10]
Coefficients are 2 and 3
Constant is M
6 0
2 years ago
There are 5 million people in 410 square miles. That is the same as _______ people per square mile.
Mice21 [21]

Answer:

12,195.122

Step-by-step explanation:

there are 5 million people

there are also 410 square miles

the solution for this is 5,000,000÷ 410 which is 12,195.122 people p/sqrm

8 0
2 years ago
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