What is the equation of the line described below written in slope-intercept form? the line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0

Answer:

I and II

Step-by-step explanation:

I: 10 is less than or equal to 2(11) - 1

10 <= 22 - 1

10 <= 21

10 is less than or equal to 21

solution

II: 10 is less than or equal to 2(8) - 1

10 <= 16 - 1

10 <= 15

10 is less than or equal to 15

solution

III: 10 is less than or equal to 2(3) - 1

10 <= 6 - 1

10 <= 5

10 is not less than or equal to 5

not a solution

Answer:

x=7

Step-by-step explanation:

16x-8x-12= 24+20

(16x-8x)-12= 24 +20

8x - 12= 24 +20

8x = 24+ 20 + 12

8x = 54

x = 54/8

x= 7

Answer:

x=7

Step-by-step explanation:

1. combine like terms

2. isolate x

3. divide by 8 to get x

Answer:

95

Step-by-step explanation:

Find the mean by adding all of it and dividing it by the total of numbers,so I did that and put an extra 95 and the mean was 90,Please give me brainliest if it help

Jaylin's test grades in History class → 92, 89, 85, 89 and 90

Let the marks achieved in the final semester = x

Total marks achieved = 92 + 89 + 85 + 89 + 92 + x

                                    = 447 + x

Minimum or the average marks required in 6 semester = 90

Total marks required in 6 semesters = 90×6

                                                             = 540

447 + x = 540

x = 540 - 447

x = 93

Therefore, Jaylin should achieve minimum 93 marks in the last semester.

Learn more,

https://brainly.com/question/11153270

Answer:

the answer is 12.08

Step-by-step explanation:

Use the distance between point formula

Answer:

I hope it helped you and you understood it.

Answer:

we know that,

Force is directly proportional to rate of change of momentum.

→ F [tex]\propto[/tex] (Pv - pu)/t

→ F = k p (v - u)/t

→ F = k p a

Here, body must have some mass.

→ F = ma

Derived.

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

i just did the question on my test!

Answer:

no

Step-by-step explanation:

beacuse the power of a odd no. will get the sign of negative not positive

Answer:

(1/2)^5 =1/2^5

Step-by-step explanation:

(1/2)^5 =1^5/2^5 =1/2^5

1^5 =1

2^5 =32

Answer:

m=1/5

Step-by-step explanation:

please mark me as a brainlist...

HK consists of two part, HJ and JK

HK = HJ + JK

We know that:

HK = 12.2ft

JK = 3.1ft

HJ = ?

Let's plug our values into the equation above.

12.2ft = HJ + 3.1ft

Subtract 3.1ft from both sides.

9.1ft = HJ

Answer:

-2°C

Step-by-step explanation:

Add 3 to -5:

-5 + 3

= -2

So, the actual low temperature in December was -2°C

Answer:

-2

Step-by-step explanation:

i took the assignment

Answer:

12x-4

Step-by-step explanation:

8x+4(x-1)

multiply whats inside the parenthesis by 4

8x+4x-4

add like terms

12x-4

Answer:

Blue, if you look, they both are close, but due to the pathagrium theory blue is longer.

Step-by-step explanation:

Answer:

Red is longer

Step-by-step explanation:

With the distance equation formula, you can find this. The distance equation formula is d=[tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2} } \\[/tex]. (x1,y1)(x2,y2) are the coordinates of each individual point.

If you turn the grid into a graph, red's points would be (0,0)(3,3)

Blue's points would be (0,3)(-1,-1). Using the distance formula blue is [tex]\sqrt{17}[/tex].

The red is [tex]\sqrt{18}[/tex], so red is longer.

Answer:

[tex]x = \frac{-r - 21}{2}[/tex]

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.  Remember to do the opposite of PEMDAS.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 6 from both sides:

2x + 6 (-6) = -r - 15 (-6)

2x = -r + (-15 - 6)

2x = -r + (-21)

2x = - r - 21

Next, divide 2 from both sides:

[tex]\frac{2x}{2} = \frac{-r - 21}{2}[/tex]

[tex]x = \frac{-r - 21}{2}[/tex]

~

Answer:

x = 133

y = 43

Step-by-step explanation:

x + 47 = 180

so x is 133

47 + y = 90

so y is 43

Answer:

Step-by-step explanation:

w≤500-285

Answer:C 50%

Step-by-step explanation:

Answer:

x=85/11

Step-by-step explanation:

[tex]\frac{x}{5}= \frac{17}{11} \\\\5*\frac{x}{5} =\frac{17}{11} \\\\x=\frac{85}{11}[/tex]

Step-by-step explanation:

a=4 so 3a becomes 3x4.

3x4=12

12+6c^2

C=2 so 6c^2 becomes (6x2)^2

6x2=12 and 12x12 because of the exponent.

12x12=144

12+144=156

If it's wrong, i'm sorry

Answer:

3160

Step-by-step explanation:

3.16 x 10^3

10^3 = 1000

so you move the decimal point three times to the right

I hope this helps

Answer:

3,160

Step-by-step explanation:

This is expressed in scientific notation. Since 3 is positive, that means the number is actually larger than 3.16, not smaller.

You would take

3.1600

and move the decimal point 3 spaces to the right

31.600

316.00

3160.0

3,160 is your answer

Hope this helps :-)

Answer:

yes.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]30x+18=35−4x[/tex]

First of all using the addition property add 4x to both sides

That's

[tex]30x + 4x + 18 = 35 + 4x - 4x \\ 34x + 18 = 35[/tex]

Next using the subtraction property subtract 18 from both sides to make 34x stand alone

We have

[tex]34x + 18 - 18 = 35 - 18 \\ 34x = 17[/tex]

Divide both sides by 34

That's

[tex] \frac{34x}{34} = \frac{17}{34} [/tex]

We have the final answer as

[tex]x = \frac{1}{2} [/tex]

Hope this helps you

Answer:

10 meters

Step-by-step explanation:

Area of a square is represented by the following formula:

A= s²

Plug in your area and solve.

√100 m² =√ s² (square both side)

10 m² = s

Thus, your one side length is 10

Answer:

the answer is the 2nd one

Step-by-step explanation:

Answer:

+ or - $9

Step-by-step explanation:

Answer:

The polynomial function for the volume of the box ([tex]V[/tex]) in terms of [tex]x[/tex] is

[tex]V(x)= 108\cdot x -42\cdot x^{2}+4\cdot x^{3}[/tex].

Step-by-step explanation:

We present a representation of the specifications of the open box in a image attached below. The volume of the open box ([tex]V[/tex]), measured in cubic inches, is represented by this expression:

[tex]V = w\cdot h \cdot l[/tex]

Where:

[tex]w[/tex] - Width, measured in inches.

[tex]h[/tex] - Height, measured in inches.

[tex]l[/tex] - Length, measured in inches.

Polynomial functions in standard form are represented by the following form:

[tex]y = \Sigma_{i=0}^{n} c_{i}\cdot x^{i}[/tex]

Where:

[tex]n[/tex] - Order of the polynomial, dimensionless.

[tex]c_{i}[/tex] - i-th Coefficient, dimensionless.

[tex]x[/tex] - Indepedent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.  

If we get from figure that [tex]w = 12 - 2\cdot x[/tex], [tex]h = x[/tex] and [tex]l = 9 - 2\cdot x[/tex], then:

[tex]V = (12-2\cdot x) \cdot x \cdot (9-2\cdot x)[/tex]

[tex]V = (12\cdot x -2\cdot x^{2})\cdot (9-2\cdot x)[/tex]

[tex]V = 108\cdot x-18\cdot x^{2}-24\cdot x^{2}+4\cdot x^{3}[/tex]

[tex]V = 108\cdot x -42\cdot x^{2}+4\cdot x^{3}[/tex]

The polynomial function for the volume of the box ([tex]V[/tex]) in terms of [tex]x[/tex] is

[tex]V(x)= 108\cdot x -42\cdot x^{2}+4\cdot x^{3}[/tex].

The volume of a box is the amount of space the box can occupy.

The polynomial function is: [tex]\mathbf{V(x) = 4x^3 -42x^2 + 108x }[/tex]

The dimension of the cardboard is given as:

[tex]\mathbf{Length = 12}[/tex]

[tex]\mathbf{Width = 9}[/tex]

Assume the size removed from the box is x

The dimension of the box becomes

[tex]\mathbf{Length = 12 -2x}[/tex]

[tex]\mathbf{Width = 9 -2x}[/tex]

[tex]\mathbf{Height = x}[/tex]

So, the volume (V) of the box is:

[tex]\mathbf{V = Length \times Width \times Height}[/tex]

Substitute known values

[tex]\mathbf{V = (12 -2x) \times (9 - 2x) \times x}[/tex]

Open brackets

[tex]\mathbf{V = (12 -2x) \times (9x - 2x^2)}[/tex]

Open brackets

[tex]\mathbf{V = 108x -24x^2 - 18x^2 + 4x^3}[/tex]

[tex]\mathbf{V = 108x -42x^2 + 4x^3}[/tex]

Rewrite as:

[tex]\mathbf{V = 4x^3 -42x^2 + 108x }[/tex]

Express as a function

[tex]\mathbf{V(x) = 4x^3 -42x^2 + 108x }[/tex]

Hence, the polynomial function is:

[tex]\mathbf{V(x) = 4x^3 -42x^2 + 108x }[/tex]

Read more about volumes and functions at:

https://brainly.com/question/1758167

Answer:

4

Step By Step Explanation:

Hope it helps

Answer:

x=−14

Step-by-step explanation:

I hope this helps you