Rewrite the equation by completing the square. X^2-14x+40=0

Answer:

y + 1 = -1/4 (x - 1) Answer choice C is correct.

Step-by-step explanation:

Point Slope Formula: y - y1 = m (x-x1)

Your points:

(1,-1) and (5,-2)

You need to find the slope first:

Use the formula: y2 - y1 / x2 - x1

Your y2 is -2

y1 is -1

x2 is 5

x1 is 1

-2 - (-1)/5-1

-2 + 1 /4

-1/4 is your slope and the "m" in the formula.

Now we know our y1 is -1 and x1 is 1 you just need to plug them in

y + 1 = -1/4 (x - 1)

Notice that I didn't write y - (-1) this is because the negatives cancel into positives.

Answer choice C is correct.

Answer:

c. [tex]y+1=-\frac{1}{4} (x-1)[/tex]

Step-by-step explanation:

Hi there!

We are given the points (1, -1) and (5, -2)

We want to find the equation of that line using those points, in point-slope form

Point-slope form is written as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point

First, let's find the slope of the line

The formula for the slope (m) calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We already have everything we need to find the slope, but let's label the values of the points to avoid any confusion when calculating.

[tex]x_1=1\\y_1=-1\\x_2=5\\y_2=-2[/tex]

Now substitute:

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-2--1}{5-1}[/tex]

Subtract

m=[tex]\frac{-2+1}{5-1}[/tex]

m=[tex]\frac{-1}{4}[/tex]

The slope of the line is -1/4

Now substitute this into the formula to find point-slope form (remember that this is [tex]y-y_1=m(x-x_1)[/tex], and that m is the slope value)

Therefore:

[tex]y-y_1=-\frac{1}{4} (x-x_1)[/tex]

Now, let's substitute the values of [tex]x_1[/tex] and [tex]y_1[/tex], which we found earlier (which are 1 and -1 respectively) into the equation

[tex]y--1=-\frac{1}{4} (x-1)[/tex]

Simplify

[tex]y+1=-\frac{1}{4} (x-1)[/tex]

This equation matches option c, which is the answer.
Hope this helps!

Answer:

5.5 and 6

Step-by-step explanation:

i got it wrong and it told me this was the correct answer

Answer:

5.5 and 6

Step-by-step explanation:

Let's see

LHS

Keep it stay

RHS

Use distributive law

Hence proved

Answer:

zero

Step-by-step explanation:

because it's horizontal line

Answer:

0

Step-by-step explanation:

-2 + 2 = 0

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

Step-by-step explanation:

Here is how I found it:

Required:

Correct choice is A.

Answer:

The answer of the first on is 15 b because to find the perimeter of 2d shapes we have to add all the sides given ex: 5+5+5=15 so the answer of first question if 15.

Step-by-step explanation:

Answer:

Label ELabel E

Step-by-step explanation:

Label ELabel ELabel k

Ans: D

differentiate sinx=cosx and differentiate x=1

:)

Answer:

0.05 mg for 1 kg, so multiply 0.05 by 50, since the patient is 50 kg, and you get 2.5 mg.

Answer:

2.5 mg

Step-by-step explanation:

.05 mg / kg    *   50 kg = 2.5 mg

Answer:

The sum is 16 and the difference is 8 unless subtraction 12 from 4 and it would be -8.

Step-by-step explanation:

12 + 4 = 16

12- 4 = 8

4 - 12 = -8

Answer:

#6:

Step-by-step explanation:

#6

So these two angles are actually the same. Since the lines l and m are parallels and those angles are opposite from each other, they are the same.

This means you can solve for x by saying:

3x-63 = 2x+2

x = 65

#7

Since the l and m are parallels, and the angles are NOT opposite, when you add the two angles together, you should get 180 degrees

So:

(2x + 20) + (6x + 24) = 180

x = 17

Answer:

[tex]\sf x\ge \:4[/tex]

solving steps:

[tex]\sf 8\left(x-5\right)-3x\ge \:-20[/tex]

[tex]\sf \left(8x-40\right)-3x\ge \:-20[/tex]

[tex]\sf 5x-40\ge \:-20[/tex]

[tex]\sf 5x\ge \:-20+40[/tex]

[tex]\sf 5x\ge \:20\\[/tex]

[tex]\sf x\ge \:\dfrac{20}{5}[/tex]

[tex]\sf x\ge \:4[/tex]

Answer:

Sorry I only know answer to the second question

That is 12000

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Given the cost of glass per square foot, the cost for the replacement of the triangular shaped window glass is 1826.77$.

A triangle is simply a polygon with three vertices, three side and three sides.

An equilateral triangle is of triangle with all its three sides equal in length.

There area of an equilateral triangle is expressed as;

A = (√3/4) × a²

Where a is the length of the sides.

Given the data in the question;

First we determine the area of the window which is in the shape of an equilateral triangle.

A = (√3/4) × a²

A = (√3/4) × (15ft)²

A = (√3/4) × 225ft²

A = 97.4279ft²

Now, cost of window replacement will be the area of the window multiplied by the cost of glass per square foot.

CoW = A × C

CoW = 97.4279ft² × $18.75 per ft²

CoW = 1826.77$

Therefore, given the cost of glass per square foot, the cost for the replacement of the triangular shaped window glass is 1826.77$.

Learn more about area of triangles here: https://brainly.com/question/19305981

Answer:

1

Step-by-step explanation:

The distance between A to B is 1 unit

Answer:

[tex]D.~4x^2-20xy+25y^2[/tex]

Step-by-step explanation:

[tex]4x^2-20xy+25y^2\\\\=(2x)^2-2\cdot 2x \cdot 5y+(5y)^2\\\\=(2x-5y)^2[/tex]

Answer:

The Answer Is 2200in^3

Step-by-step explanation:

I Took The Test And Got It Right

Answer:

15 unit that is the answer

Step-by-step explanation:

hope it is help you

The length of the line segment BC is 15 units

In order to determine the length of BC, we will use the Pythagoras theorem as shown;

AB² = AC² + BC²

Substitute the given parameters

17² = 8² + BC²

BC² = 289 - 64

BC² = 225

BC=. 15 units

Hence the length of the line segment BC is 15 units

Learn more on pythagoras theorem here: https://brainly.com/question/654982

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Answer:

[tex] \displaystyle{ \frac{x + 4}{x - 4} + \frac{x - 4}{x + 4} = 3 \frac{1}{3} }[/tex]

[tex]\displaystyle{ \frac{ {(x + 4) }^{2} + {(x - 4)}^{2} }{(x + 4)(x - 4)} = \frac{10}{3} }[/tex]

[tex]\displaystyle{ \frac{ {x}^{2} + 8x + {4}^{2} + {x}^{2} - 8x + {4}^{2} }{ {x}^{2} - {4}^{2} } = \frac{10}{3} }[/tex]

[tex]\displaystyle{ \frac{ {2x}^{2} + 16 + 16 }{ {x}^{2} - 16 } = \frac{10}{3} }[/tex]

[tex]\displaystyle{3( {2x}^{2} + 32) = 10( {x}^{2} - 16) }[/tex]

[tex]\displaystyle{ {6x}^{2} + 96 = {10x}^{2} - 160 }[/tex]

[tex]\displaystyle{ {10x}^{2} - 160 = {6x}^{2} + 96 }[/tex]

[tex]\displaystyle{ {10x}^{2} - {6x}^{2} - 160 - 96 = 0 }[/tex]

[tex]\displaystyle{ {4x}^{2} - 256 = 0}[/tex]

[tex]\displaystyle{4( {x}^{2} - 64) = 0}[/tex]

[tex] {x}^{2} - {8}^{2} = \displaystyle{ \frac{0}{4} }[/tex]

[tex]\displaystyle{(x + 8)(x - 8) = 0}[/tex]

[tex]\displaystyle{ \rm{either, \: x + 8 = 0............(1) }}[/tex]

[tex] \rm{or ,\: x - 8 = 0...............(2)}[/tex]

From equation (1)

[tex]x + 8 = 0[/tex]

[tex]x = - 8[/tex]

From equation (2)

[tex]x - 8 = 0[/tex]

[tex]\displaystyle{x = 8}[/tex]

[tex] \therefore{x=±8}[/tex]

Answer:

4

Step-by-step explanation:

had to look it up but do 20 x 0.2 (1/5) and u get 4

Answer:

2n+1

Step-by-step explanation:

i dont know  but i tried to do it in paper and got this

Answer:

d = 3h - 6

Step-by-step explanation:

Given formula:

[tex]h=\dfrac{d}{3}+2[/tex]

Subtract 2 from both sides:

[tex]\implies h-2=\dfrac{d}{3}+2-2[/tex]

[tex]\implies h-2=\dfrac{d}{3}[/tex]

Multiply both sides by 3:

[tex]\implies (h-2) \times 3=\dfrac{d}{3} \times 3[/tex]

[tex]\implies 3(h-2)=d[/tex]

Apply the distributive law  [tex]a(b-c)=ab-ac[/tex]

[tex]\implies 3h-6=d[/tex]

[tex]\implies d=3h-6[/tex]

Answer:

[tex]d=3h-6[/tex]

Step-by-step explanation:

[tex]h=\frac{d}{3}+2[/tex]

[tex]h-2=\frac{d}{3}+2[/tex]

                 -[tex]2[/tex]

[tex]h-2=\frac{d}{3}[/tex]

[tex](h-2)*3=\frac{d}{3}*3[/tex]

[tex]3(h-2)=d[/tex]

[tex]3h-6=d[/tex]

[tex]d=3h-6[/tex]

-{ModPatrol}

The proportion of students who chose popcorn will be 14/33.

From the information, the frequency table shows the number of students selecting each type of

food.

The number of people who choose popcorn = 14

Total number of people = 33

Therefore, the proportion of students chose popcorn will be:

= 14/33

Learn more about proportion on:

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Answer:

0.42

Step-by-step explanation:

Answer:

x=29

Step-by-step explanation:

0.3(x-5)=7.2

multiply by 10

3(x-5)=72

divide by 3

[tex]x-5=\frac{72}{3} \\x-5=24\\x=24+5\\x=29[/tex]