Write in point-slope form the equation of a line that has a slope of -5 and passes through the point (-1, 3).

Answer:

  [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}3\\2\\\end{array}\right][/tex]

Solution of the given system of equations

 x = 3 and  y= 2

Step-by-step explanation:

Step(i):-

Given system of equations are

                                      4x - y =  10 ...(i)

                                     8x +5y = 34...(ii)

The matrix form

                          A X = B

[tex]\left[\begin{array}{ccc}4&-1\\8&5\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}10\\34\\\end{array}\right][/tex]

Step(ii):-

By using matrix inversion method

[tex]A^{-1} = \frac{1}{|A|} adj A[/tex]

|A| = ad-b c = 4(5) - 8(-1) = 20+8 = 28

Given matrix

            [tex]A = \left[\begin{array}{ccc}4&-1\\8&5\\\end{array}\right][/tex]

[tex]AdjA = \left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right][/tex]

[tex]A djA = \left[\begin{array}{ccc}5&1\\-8&4\\\end{array}\right][/tex]

Inverse of the matrix

                           [tex]A^{-1} = \frac{1}{|A|} adj A[/tex]

                          [tex]A^{-1} = \frac{1}{|A|} A djA =\frac{1}{28} \left[\begin{array}{ccc}5&1\\-8&4\\\end{array}\right][/tex]

Step(iii):-

The solution of the given system of equations by using matrix inversion method

                     X = A⁻¹ B

                    [tex]X = A^{-1}B =\frac{1}{28} \left[\begin{array}{ccc}5&1\\-8&4\\\end{array}\right]\left[\begin{array}{ccc}10\\34\\\end{array}\right][/tex]

                   [tex]X = A^{-1}B =\frac{1}{28} \left[\begin{array}{ccc}5X10+1X34\\-8X10+4X34\\\end{array}\right][/tex]

                 [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right] =\frac{1}{28} \left[\begin{array}{ccc}84\\56\\\end{array}\right][/tex]

                 [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}3\\2\\\end{array}\right][/tex]

Final answer:-

Solution of the given system   x = 3 and  y= 2

Answer:

alternate interoir

Step-by-step explanation:

Answer:

alternate interior

Step-by-step explanation:

don't really know how to explains this one, it's just the definition of alternate interior angles: "angles on opposite sides of the transversal, in between two lines"

Answer:

The degree of the remainder should be 4 for the division process to be stopped

Step-by-step explanation:

From the question, we have the degree of the divisor as 5

So, for the division process to be stopped, the degree of the remainder should be one less than the degree of the divisor

Once the degree of the remainder is less than the degree of the divisor, we have no option that to stop and not proceed further with the division

So in the case of the particular question, the degree of the remainder should be of degree 4

Answer:

sin 28° = 8/17

Step-by-step explanation:

sin A = opp/hyp

sin 28° = 8/17

The value of sin 28° is: sin 28° = 8/17

So, Option B is correct.

Here, given that, a right angle triangle has hypotenuse = 17 units,

height = 8 units,

base = 15 units.

now, we have, the angle between hypotenuse and base is: sin 28°.

from trigonometry we know that,

sin A = opp/hyp

so, here, we get, sin 28° = height/hypotenuse

putting the values, we have,

sin 28° = 8/17

Hence, The value of sin 28° is: sin 28° = 8/17

So, Option B is correct.

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Answer:

B) 45%

Step-by-step explanation:

There are 20 trials in total.

It says that the numbers 4 and 5 represent SUVs. All we have to do is look and count how many trials of the 20 that have the number 4 or 5.

That would be 9 trials that have the number 4 or 5 within it. Then you divide them. 9/20 = 0.45 or 45%

Answer:

45%

Step-by-step explanation:

it was the right answer

Answer:

if you are trying to say 40 percent, its 127

Answer:

Step-by-step explanation:

50.8/40=1.27

40 *1.27=50.8 if that is not your question just tell me

Answer:

d) [tex]4\cdot 10^{6}[/tex] times

Step-by-step explanation:

Scientific Notation

We are given two quantities and we must find the ratio between them and use scientific notation.

The diameter of a pearl is about

[tex]4\cdot 10^{-3}\ cm[/tex]

Converting to meters, we divide by 100

[tex]4\cdot 10^{-3} / 100 = 4\cdot 10^{-5}\ m[/tex]

The diameter of an atom is about

[tex]10^{-11}\ m[/tex]

The ratio between both diameters is:

[tex]\displaystyle \frac{4\cdot 10^{-5}\ m}{10^{-11}\ m}= 4\cdot 10^{-5+11}=4\cdot 10^{6}[/tex]

Answer: d) [tex]\mathbf{4\cdot 10^{6}}[/tex] times

Answer:

Step-by-step explanation:

they are asking where is the center of the shape

it's at 1/3 of the way in both direction so V looks about right

The final statement is: The value of x is 1/6

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here:   The expression x+2/3=5/6

substracting -2/3 both sides   x=5/6-2/3

                                                      x=1/6

Hence, The value of x is equal to 1/6

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Answer:

x = 1/6

Step-by-step explanation:

Given equation,

→ x + (2/3) = 5/6

Now the value of x will be,

→ x + (2/3) = 5/6

→ x = (5/6) - (2/3)

→ x = (5/6) - (4/6)

→ x = (5 - 4)/6

→ [ x = 1/6 ]

Hence, the value of x is 1/6.

Answer:

y=1(3)^x

Step-by-step explanation:

First take the y and do 3/1

Then take x and do 1-0

Then do 3(sqrt)1 which is just 3

3 is ur b value

Then it is y=1(3)^x

Answer:

$207.20

I hope this can help in any way!

Answer:

[tex]x=\frac{1\pm i\sqrt{11}}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define Equation

4x² - 2x + 3 = 0

Step 2: Identify Variables

a = 4

b = -2

c = 3

Step 3: Solve for x

Answer:

D 36

Step-by-step explanation:

I checked it and it’s right hope this helps!

Answer:

y=4

y= -1

Step-by-step explanation:

Question

Juan deposited $2,250 in the bank to celebrate the birth of his son. After three years, he received his statement and the bank said he had $2,587.50 in the account.

How much interest did Juan earn in three years?

How much interest did Juan earn per year?

What was the interest rate?

Answer: GOOD LUCK

337 and 112.33

Answer:

337 and 112.33

Step-by-step explanation:

First answer is 337 u take the difference between the 2 numbers. And the interest is 112.33 per year u divide the interest by 3. I hope this helps.

Step-by-step explanation:

they each had 25 mushrooms for Carl and his friends there are 4 of them each and they got the same portions and if you count by 5s to 25 that will be the answer so the answer is 5

Answer:

5

Step-by-step explanation:

Number of mushrooms = 25

Number of persons = 5

Each of them ate the same number of mushrooms. so the square root of 25 will be number of mushrooms eaten by each

Number of mushroom eaten by each of them = √25

              = 5

Answer:

36

Step-by-step explanation:

since x=5, you multiply 8x5 to get 40. then, subtract four.

Answer: x=15

Step-by-step explanation: Side splitter theorem means you can treat the triangle sides as a ratio. So if 25/15 = 1.666666667 then 1.666666667*9 = 15

Answer:

2 ≤ x ≤ 8

Step-by-step explanation:

This is a compound inequality and we are going to solve for x on both sides

For the first part,

0 ≤ 3x - 6

6 ≤ 3x

6/3 ≤ x

2 ≤ x

For the second part

3x - 6 ≤ 18

3x ≤ 18 + 6

3x ≤ 24

x ≤ 24/3

x ≤ 8

So the solution will be;

2 ≤ x ≤ 8

Answer:

x= 8/  6 + y

Step-by-step explanation:

Answer:

0.0072

Step-by-step explanation:

The answer is 0.0072. I really hope this helps!

If it does help can you be kind and mark me the brainliest please? Peace and Love

Answer:

I'm sorry if I'm not helpful but I think it is 70 degrees

Step-by-step explanation:

Answer:

25 boys, 15 girls

Step-by-step explanation:

You can setup 2 equations where b is the number of boys and g is the number of girls to get [tex]b+g=40[/tex] and [tex]b-8=g+2[/tex]. Simplifying the second equation gets you [tex]b-10=g[/tex] insert [tex]b-10[/tex] for g in the first equation to get [tex]2b-10=40[/tex]. Simplify this equation to get [tex]b=25[/tex]. To find the number of girls, substitute 25 for b in the first equation to get [tex]g=15[/tex]

9514 1404 393

Answer:

  yes, if you allow complex numbers; no, if you don't

Step-by-step explanation:

The sum of squares can be considered to be the difference of squares, where one of the squares is negative. The negative square is the square of an imaginary number, so the factoring involves imaginary numbers.

  x^2 +25 = x^2 - (-25) = x^2 -(5i)^2

  = (x -5i)(x +5i) . . . . factoring in the complex numbers

There is no factoring in real numbers.

Answer:

dd4l

Step-by-step explanation:

yup

Answer:

10% of your monthly earning

Answer:

A

Step-by-step explanation:

-5 i s greater than -2.

Nope that aint true

-2 is greater than -5 is correct since -2 is closer to the postivie numbers and zero.

-5 is farther so it is less than -2.

Answer:

the change in the amount of time is 30 minutes

Step-by-step explanation:

The computation of the change in the amount of time is shown below

= Number of consecutive ways × number of  minutes more each day

= 6 days × 5 minutes

= 30 minutes

Hence, the change in the amount of time is 30 minutes

Therefore the correct option is D.

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Answer:

gg

Step-by-step explanation:

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Answer:

-1536 would be your answer

Answer:

The data shows a linear association between the variables.

The data shows a negative association between the variables.