Two Distinct irrational Roots
A.0
B.91
C.-25
D.1

9514 1404 393

Answer:

  (x1, x2) = (3, -4)

Step-by-step explanation:

As with any 2-step linear equation, subtract the constant, then multiply by the inverse of the coefficient of the variable.

  [tex]\left[\begin{array}{cc}3&2\\5&5\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right]+\left[\begin{array}{c}1\\2\end{array}\right]=\left[\begin{array}{c}2\\-3\end{array}\right]\\\\\left[\begin{array}{cc}3&2\\5&5\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{c}1\\-5\end{array}\right]\\\\\left[\begin{array}{c}x\\y\end{array}\right]=\dfrac{1}{5}\left[\begin{array}{cc}5&-2\\-5&3\end{array}\right]\left[\begin{array}{c}1\\-5\end{array}\right][/tex]

Performing the multiplication of the matrix by the vector gives the solution.

  x = ((5)(1) +(-2)(-5))/5 = 15/5 = 3

  y = ((-5)(1) +(3)(-5))/5 = -20/5 = -4

Using your variables, x1, x2, the solution is ...

  (x1, x2) = (3, -4)

Answer:

d

Step-by-step explanation:

Answer:

nt cbhhujvti'

Step-by-step explanation:

Answer:

RM 4.05

Step-by-step explanation:

6mnts=70% of 500 is 350, so 150

1 year= 70% of 150 is 105, so 45

1 n half year = 70% of 45 is 31.5, so 13.5

2 years = 70% of 13.5 is 9.45, so Rm 4.05

BETTER ASK HER TO DONATE THE PHONE.....LOL

Answer:

2 /5

Step-by-step explanation:

26 pieces

There are 26 pieces in total, and the cube has 8 corners and 6 centers.

Given:

Consider the given statement is "7 more than the quotient of a number and 9 is 2".

To find:

The value of the unknown number.

Solution:

Let be the unknown number.

Quotient of a number and 9: [tex]\dfrac{x}{9}[/tex]

7 more than than the quotient of a number and 9: [tex]\dfrac{x}{9}+7[/tex]

It is given that, 7 more than the quotient of a number and 9 is 2.

[tex]\dfrac{x}{9}+7=2[/tex]

Multiply both sides by 9.

[tex]x+63=18[/tex]

[tex]x=18-63[/tex]

[tex]x=-45[/tex]

Therefore, the unknown number is -45.

Answer:

I believe the answer is 1/12

Step-by-step explanation:

the volume of a rectangular prism is length × width × height

Answer:

[tex] \frac{1}{12} \: cubic \: foot[/tex]

Step-by-step explanation:

[tex]V_{box} = lbh \\ = 1 \frac{1}{2} \times \frac{1}{6} \times \frac{1}{3} \\ \\ = \frac{ \cancel3}{2} \times \frac{1}{6} \times \frac{1}{ \cancel3} \\ \\ = \frac{1}{12} \: cubic \: foot[/tex]

Answer:

Step-by-step explanation:

36/78 = 0.46153,,,, nope.. not a choice

36/123 = 0.2926.... so the last answer looks good

Answer:

b or c???

Step-by-step explanation:

The point that best approximates √45 is C.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

√45

This can be written as,

= 6.7082

Now,

6.7082 is near 7 so,

The point that best approximates √45 is C.

Thus,

The point that best approximates √45 is C.

Learn more about expressions here:

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Answer:

1) x- y = 8

x + y = 12

eliminate one variable by adding the equations

2x = 20

divided by 2 on both sides

x = 10

substitute the value of x in the equation 1

10 - y = 8

-y = 8- 10

y =2

[x , y]

[10 , 2]

2) 2x - y = 4

3x + y = 6

eliminate one variable by adding the equations

5x = 10

x = 2

substitute the value of x in the equation

2(2) - y = 4

4 - y = 4

y = 0

[x ; y]

[2; 0]

3) x + 2y = 10

x + 4y = 14

multiply equation 1 by - 1

-x -2y = -10

x + 4y = 14

eliminate one variable by adding the equations

2 y = 4

y = 2

substitute the value of y in the equation 1

x + 2(2) = 10

x + 4 = 10

x = 6

[x ; y]

[6 ; 2]

4 ) 3x + y = 9

y = 3x + 6

simplify the expression

3x + y = 9

- 3x + y = 6

eliminate one variable by adding the equations

2y = 15

y = 15/2

substitute the value of y in equation 1

3x + 15/ 2 = 9

3x = 3/2

x = 1/2

[x ; y]

[1/2 ; 15/ 2]

5) 4x + 5y = 15

6x - 5y = 18

eliminate one variable by adding the equations

10 x = 33

× = 33/10

substitute the value of x in equation I

4 (33/10) + 5y = 15

66/5 + 5y =15

5y = 9/5

y = 9/25

[x ; y]

[33/10 ; 9/25]

6) 5x = 7y

x + 7y = 21

in equation I move the variable to the left

5x - 7y = 0

x + 7 y = 21

eliminate one variable by adding the equations

6x = 21

x = 7/2

substitute the value of x in the equation

5(7/2) = 7y

35/2 = 7y

5/2 = y

[x ; y ]

[7/2 ; 5/2 ]

Answer:

316.41 m³

Step-by-step explanation:

7.5x7.5x3.75=210.9375

3.75x3.75x7.5=105.46875

210.9375+105.4675=316.405

Answer:

8.74

Step-by-step explanation:

The distance can be calculated by Distance Formula , as :-

⇒ Distance = √[( x₁ - x₂ )² + (y₁ - y₂ )² ]

⇒ D = √ [ ( 3 + 2)² + (5+2)² ]

⇒ D = √ 5² + 7²

⇒ D = √ [ 25 + 49 ]

⇒ D = √ 74

⇒ D = 8.74 units .

Answer: 90 yards

Step-by-step explanation:

10 by 3 by 3 is 90

Answer:

b

Step-by-step explanation:

Answer: I AM GOING TO SAY THE ANSWER IS 25%

Step-by-step explanation:

Answer:

The results are presented below.

Question 1 - sin L = [tex]\frac{3}{5}[/tex]

Question 2 - tan N= [tex]\frac{4}{3}[/tex]

Question 3 - cos L = [tex]\frac{4}{5}[/tex]

Question 4 - sin N= [tex]\frac{4}{5}[/tex]

Question 5 - x=8.5

Question 6 - x=27.2

Step-by-step explanation:

For solving this question, you need to apply the right triangle properties and trigonometric ratios in each triangle.

This question asks the sin L.  You can find this value from the trigonometric ratio of sin from given right triangle:

        [tex]sin L=\frac{opposite}{hypotenuse} \\\\ sin L=\frac{6}{10}=\frac{3}{5}[/tex]

This question asks the tan L. You can find this value from the trigonometric ratio of tan from given right triangle:

        [tex]tan N=\frac{opposite}{adjacent} \\\\[/tex]

The question gives the adjacent side for N, but you need to find the opposite side from Pythagorean theorem.

       [tex]10^2=6^2+(ML)^2\\ 100=36+(ML)^2\\ (ML)^2=100-36\\ (ML)^2=64\\ (ML)=\sqrt{64} \\ (ML)=8\\ or \\ (ML)=-8[/tex]

There is not side with negative dimension, hence, ML=8. Now, you can find the tangent of N.

      [tex]tan N=\frac{8}{6} =\frac{4}{3}[/tex]

This question asks the cos L. You can find this value from the trigonometric ratio of cos from given right triangle:

      [tex]cos L=\frac{adjacent}{hypotenuse}[/tex]

The adjacent side (ML) you found in the question 2. ML=8, therefore:

      [tex]cos L=\frac{adjacent}{hypotenuse}\\ \\ cos L=\frac{8}{10}=\frac{4}{5}[/tex]

This question asks the sin N. You can find this value from the trigonometric ratio of sin from given right triangle:

      [tex]sin N=\frac{opposite}{hypotenuse} \\\\ sin N=\frac{8}{10}=\frac{4}{5}[/tex]

You can find x from the trigonometric ratio of cos :

      [tex]cos 32=\frac{adjacent}{hypotenuse}\\ \\ cos 32=\frac{x}{10}[/tex]

From calculator, you have cos 32° = 0.8480. Then,

      [tex]cos 32=\frac{adjacent}{hypotenuse}\\ \\ 0.8480=\frac{x}{10}\\ \\ x=8.5[/tex]

You can find x from the trigonometric ratio of sin:

      [tex]sin 54=\frac{opposite}{hypotenuse}\\ \\ sin 54=\frac{22}{x}[/tex]

From calculator, you have sin 54° = 0.8090. Then,

      [tex]sin 54=\frac{opposite}{hypotenuse}\\ \\ 0.8090=\frac{22}{x}\\ \\ 0.8090x=22\\ \\ x=\frac{22}{0.8090} \\ \\ x=27.2[/tex]

Learn more about trigonometric ratio here:

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Answer:

Step-by-step explanation:

Answer:

Approximately [tex]0.428[/tex].

Step-by-step explanation:

(This approach requires looking up values on a [tex]z[/tex]-table. Calculators aren't required.)

A typical [tex]z[/tex]-table lists probabilities in the form [tex]P(Z \le z)[/tex] (or equivalently, [tex]P(Z < z)[/tex],) where [tex]z\![/tex] is real number (typically greater than or equal to [tex]0[/tex].)

However, the question asks for a probability in the form [tex]P(a < Z < b)[/tex]. It would be necessary to rewrite this probability for this [tex]\!z[/tex]-table approach to work.

Let [tex]a[/tex] and [tex]b[/tex] denote two real numbers, with [tex]b > a[/tex]. [tex]P(a < Z < b)[/tex] would be equal to [tex]P(Z < b) - P(Z < a)[/tex]. In this question:

[tex]\begin{aligned} & P(0 < Z < 1.46) \\ & = P(Z < 1.46) - P(Z < 0) \end{aligned}[/tex].

Look up the value of [tex]P(Z < 1.46)[/tex] on a [tex]z[/tex]-table: [tex]P(Z < 1.46) \approx 0.927855[/tex].

On the other hand, [tex]P(Z < 0) = 0.5[/tex] because the Gaussian distribution is symmetric.

Therefore:

[tex]\begin{aligned} & P(0 < Z < 1.46) \\ & = P(Z < 1.46) - P(Z < 0) \\ &\approx 0.927855 - 0.5 \\ &\approx 0.428\end{aligned}[/tex].

Answer:

Hi! The answer to your question is [tex]X = 3[/tex]

Step-by-step explanation:

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☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:675

Step-by-step explanation:

The answer is 3.93 hours. This is because in one hour there are 60 minutes so you would need to divide your number 236 by 60 and you should end up with 3.9333, which rounded to would just be 3.93 hours in total.

Hope that helps!

Answer:

Find an interquartile range for an odd set of numbers: Second ... — (1, 2, 5, 6, 7, 9), (9, 12, 15, 18, 19, ... Box Plot interquartile range: How ... Example question: Find the interquartile ... Q1 is represented by the left ... (GPA) in the following data set: ... The “1” in this Excel formula(A2:A10,1) represents the ...

Step-by-step explanation:

Answer:

D. 22

Step-by-step explanation:

Your answer is correct sir :)

Step-by-step explanation:

just follow the answer good luck

Answer:

96ft³

Step-by-step explanation:

Okay, so the formula for finding the volume of a triangular prism is base x height, so we first have to find the base:

6 x 4 ÷ 2 = 12

So then we plug our numbers into the formula:

12 x 8 = 96

So, the volume of the tent is 96ft³

hope this helps:)

Answer:

No solutions

Step-by-step explanation:

-8x+2y = -16

   4x-y  = 10 [multiply by 2 so it is easier to add/subtract]

-8x+2y = -16

8x -2y = 20

        0 = 4

0 and 4 cant be equal so theres no solution

Answer:

it is B

Step-by-step explanation: