Write the equation of a line through the two points in (-2,8) and (5,-1)

What would be the slope of the line parallel to the line given in (-2,8) and (5,-1)

What would be the slope of the line perpendicular to the line given in (-2,8) and (5,-1)

Answer:

D

Step-by-step explanation:

The area of a rectangle is given by the formula:

[tex]A=\ell w[/tex]

So, we are given that the area is:

[tex]x^3-5x^2+3x-15[/tex]

And the width is:

[tex]x^2+3[/tex]

And we want to find the length. To do so, first substitute the expressions into the equation:

[tex]x^3-5x^2+3x-15=(x^2+3)\ell[/tex]

Thus, to find the length, divide by (x²+3):

[tex]\displaystyle \ell = \frac{x^3-5x^2+3x-15}{x^2+3}[/tex]

We can factor the numerator:

[tex]x^3-5x^2+3x-15[/tex]

From the first two terms, factor out a x².

From the third and fourth terms, factor out a 3:

[tex]=x^2(x-5)+3(x-5)[/tex]

Combine:

[tex]=(x^2+3)(x-5)[/tex]

Putting this back:

[tex]\displaystyle \ell = \frac{(x^2+3)(x-5)}{x^2+3}[/tex]

Cancel:

[tex]\ell =x-5[/tex]

Hence, our answer is D.

Answer:

D on Edge 2021 ;))

Step-by-step explanation:

Answer:

l=(P-2W)/2 (first answer choice lol)

Step-by-step explanation:

Answer:

Density = 5751.66 gram per litre

Step-by-step explanation:

It is given that the density of a certain material 6 pounds per pint.

The conversion from pint to liter is as follows :

1 pint = 0.473 litre

The conversion from pounds to kg is as follows :

1 pound = 453.59 kg

We need to express the density from pounds per pint to grams per liter.

1 pound per pint = 958.611 gram per litre

So,

6 pound per pint = 958.611 × 6 gram per litre

6 pound per pint  = 5751.66 gram per litre

Answer:

The last step says the answer is 5751.66

Answer:

For the first one it would be A. x = -3, 4 because they where f(x) and g(x) intersect.

Step-by-step explanation:

For the second one it would be B. Fuction 1 has the larger maximum at (4,1) because the maximum point for Fuction 1 is at (4,1) becuase that the highest point/vertex it goes.

Answer:

I believe it is A

Step-by-step explanation:

Answer:

shirts are $32 each and hats are $18 each

Step-by-step explanation:

x = shirts

y = hats

2x + 5y = 154

3x + 4y = 168

use either substitution or elimination

x = $32

y = $18

The price of each shirt is $32 while the price of each hat is $18.

let

the price of each shirt  = x

the price of each hat = y

Eva's purchase will be

Nicole's purchase will be

Combine the equation to find the price of each shirt and hat.

2x + 5y = 154

3x + 4y = 168

2x = 154 - 5y

x = 77 - 5 / 2 y

3x + 4y = 168

3(77 - 5 / 2 y) + 4y = 168

231 - 15 / 2 y + 4y  = 168

168 - 231 = - 7 /2 y

- 63 = - 7 / 2 y

cross multiply

-126 = -7y

y = 18

2x + 5(18) = 154

2x + 90 = 154

2x = 154 - 90

2x = 64

x = 64 / 2

x = 32

Price of each shirt  = $32

price of each hat  = $18

read more: https://brainly.com/question/19055987?referrer=searchResults

Answer:

$122.28

Step-by-step explanation:

Give the following :

Insurance worth = $240,000

Price sold = $225

P(survival) = 0.999572

P(death) = 1 - 0.999572 = 0.000428

If she survives, insurance firm makes $225

If she dies, insurance firm pays $240,000, hence the company losses :

$(225 - 240,000) = $−239775

Expected value (E(x)) = sum of P(i) * X(i)

E(x) = (P(survival) * profit made) + (P(death) * loss incurred)

E(x) = (225 * 0.999572) + (0.000428 * −239775)

= 224.9037 - 102.6237

=$ 122.28

Answer:

$773.3587

Step-by-step explanation:

The probability that the female survives = 0.999572

therefore, probability that female dies = 1-0.999572 = 0.000428

if the female survives the insurance company makes = $225

x=$250

If the female dies the insurance company pays $240,000.

So, the amount with the company = 240000-225 = $ 2390775

Therefore Expected value = 250(0.999572)-2390775(0.000428)= $773.3587

Answer:

From the RHS:

Cot^4θ-tan^4θ

=(cos^2θ/sin^2θ)*(cos^2θ/sin^2θ)-(sec^2-1)*(sec^2-1)

=(1-sin^2θ)/(sin^2(θ))*(1-sin^2θ)/(sin^2(θ))-(sec^4θ+2sec^2θ+1)

=(cosec^2θ-1)*(cosec^2θ-1)-sec^4θ+2sec^2θ-1

=cosec^4θ-2cosec^2θ+1-sec^4θ+2sec^2θ-1

=cosec^4θ-2cosec^2θ-sec^4θ+2sec^2θ

=LHS

Step-by-step explanation:

Answer:  see proof below

Step-by-step explanation:

Use the following Pythagorean Identities:

sec²A = tan²A + 1

csc²A = 1 + cot²A

Use group factoring:  a(x + y) + b(x + y) = (a + b)(x + y)

Proof LHS → RHS

Given:                    2sec²Ф      - sec⁴Ф             -     2csc²Ф       + csc⁴Ф

Pythagorean:        2(tan²Ф + 1) - (tan²Ф + 1)²    +   -2(1 + cot²Ф) + (1 + cot²Ф)²

Group Factoring:   (tan²Ф + 1)(2 - tan²Ф - 1)     +    (1 + cot²Ф)(-2 + 1 + cot²Ф)

Simplified:               (tan²Ф + 1)(1 - tan²Ф)           +    (1 + cot²Ф)(cot²Ф - 1)

Multiplied:               tan²Ф - tan⁴Ф + 1 - tan²Ф   +    cot²Ф - 1 + cot⁴Ф - cot²Ф

Simplified:                                         1  - tan⁴Ф   +    cot⁴Ф - 1

                                                    =      - tan⁴Ф  +  cot⁴Ф  

                                                    =        cot⁴Ф  - tan⁴Ф    

cot⁴Ф  - tan⁴Ф = cot⁴Ф  - tan⁴Ф    [tex]\checkmark[/tex]

Answer:

Step-by-step explanation:

The expression for the lateral area of a cylinder is given as

AL=2πrh

where r is the radius of the circular surface of the cylinder

and h represents the height of the cylinder

while the constant π has a value of 3.142

Now upon substitution we can solve for the lateral area and the unit for the lateral area is (units)^2 i,e cm^2, mm^2 or m^2 etc.

Hi there! Hopefully this helps!

-------------------------------------------------------------------------------------------------------

First we need to substitute the value of the variable into the expression.

[tex]b^{2}+3(2x-y)[/tex] = [tex]3^{2} + 3 (2(4)-5)[/tex] .

Now we need to solve [tex]3^{2} + 3 (2(4)-5)[/tex].

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]3^{2} + 3 (2(4)-5)[/tex]

First, calculate 3 to the power of 2 and get 9.

[tex]9+3(2\times 4-5)=18[/tex]

Multiply 2 and 4 to get 8.

[tex]9+3(8-5) =18[/tex]  

Subtract 5 from 8 to get 3.    

[tex]9+3\times 3 =18[/tex]  

Multiply 3 and 3 to get 9.

[tex]9+9 =18[/tex].

Answer:

Step-by-step explanation:

The area is given by the product of length and width.

  A = LW

  209 = (4x +3)(4x -5)

  209 = 16x^2 -8x -15

  224 = 16x^2 -8x

You could rearrange and use the quadratic formula at this point, but we elect to "complete the square".

  14 = x^2 -(1/2)x

  14 +1/16 = x^2 -1/2x +(1/4)^2 . . . . . add the square of half the x-coefficient

  (x -0.25)^2 = 14.0625

  x = 0.25 ± 3.75 . . . . . . take the square root; add 0.25

Only positive values of x are useful here, so we have

  x = 4

Then the dimensions are ...

  length = 4x +3 = 4(4) +3 = 19 . . . feet

  width = 4x -5 = 16 -5 = 11 . . . feet

Answer:

The answer is

Step-by-step explanation:

Volume of a sphere is given by

[tex]V = \frac{4}{3} \pi {r}^{3} [/tex]

where r is the radius

From the question

r = 3 inches

So the volume of the sphere is

[tex]V = \frac{4}{3}( {3)}^{3} \pi[/tex]

[tex]V = \frac{4}{3} \times 27\pi[/tex]

[tex]V = 4 \times 9 \times \pi[/tex]

We have the final answer as

Volume = 36 π cubic inches

Hope this helps you

Answer:

36pi cubic inches.

Step-by-step explanation:

Just took the Pre-Test on Edg (2020-2021)!!

Answer: The measure of angle 1 is 39 degrees,the measure of angle 2 is 78 degrees and the measure of angle 3 is 63 degrees.

Step-by-step explanation:

We will represent the measure of angle 1 by x because it is unknown.

It says that the measure of angle 2 is twice angle 1   so we could represent that as  2x  and the measure of angle 2  is 15 less than angle 3 and we could also represent that by  2x - 15.

Now we know they all add up to 180 so add them up and set them equal to 180 and solve for x.

x + 2x + 2x -15 = 180  

5x - 15 = 180

      +15   +15

5x = 195

x = 39  

If x is equal to 39 then the measure of angle 1 is 39 degrees and the measure of angle 2 is twice that so 2(39) = 78   which also gives us the measure of angle 2 as 78.

For angle 3 it says that it has to be 15 less than the measure of angle so  subtract 15 from  78 to find the measure of angle 3.

78 - 15 = 63   The measure angle 3 is 63 degrees. Now add the measures all together to see if they equal 180 degrees .

Check:

39 + 78 + 63 = 180

  180 = 180

Answer:

A

Step-by-step explanation:

a. CD = [tex]\sqrt{13}[/tex], EF = [tex]\sqrt{13}[/tex], CD≅EF

If [tex](x_{1}, y_{1})[/tex] & [tex](x_{2}, y_{2})[/tex] are co-ordinates of two points then the distance between this two points = [tex]\sqrt{(x_{2}- x_{1}) ^{2}+ (y_{2}- y_{1} )^{2} }[/tex]

Here, Point C = (0, 4) & Point D = (3, 2)

Then CD = [tex]\sqrt{(3-0)^{2} +(2-4)^{2} }[/tex] = [tex]\sqrt{3^{2} +(-2)^{2} }[/tex] = [tex]\sqrt{9+4}[/tex] = [tex]\sqrt{13}[/tex]

And Point E = (-2, 1) & Point F = (-4, -2)

Then EF = [tex]\sqrt{((-4)-(-2))^{2}+ ((-2)-1)^{2} }[/tex]= [tex]\sqrt{(-2)^{2} +(-3)^{2} }[/tex]= [tex]\sqrt{4+9}[/tex]= [tex]\sqrt{13}[/tex]

We know that, if two line segment have same length, they are congruent.

Here CD = EF = [tex]\sqrt{13}[/tex]

Since CD & EF have same length, so CD is congruent to EF.

Learn more about congruence of two lines here :

https://brainly.com/question/15580358

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Answer:

5 represent calories from other ingredients

c= 5 1/2 grams

Step-by-step explanation:

Total calories=c grams of carbohydrates + other ingredients

Total calories in granola bite=27

The equation 4c + 5 = 27 represents the relationship between these quantities

1. 5 represent calories from other ingredients

2. Priya said that neither 8 nor 3 could be the solution to the equation

4c + 5 = 27

When the solution is 8

4(8)+5=27

32+5=27

37 =27

Solution 8 gives a higher calories than total calories

When solution is 3

4(3)+5=27

12+5=27

17=27

Solution 3 gives a lower calories than total calories

3. Solution to the equation

4c + 5 = 27

Subtract 5 from both sides

4c+5-5=27-5

4c=22

Divide both sides by 4

c=22/4

=5 2/4

=5 1/2

c= 5 1/2 grams

Answer:

57

Step-by-step explanation:

-7+2*36-8

-7+72-8

65-8

57

Answer:

4-6=-2

4.

rotational - no

reflectional - yes

angle - 90° (vertical)

5.

rotational - no

reflectional - yes

angle - 90° (vertical)

6.

rotational - omnidirectional

reflectional - yes

angle - 90° (vertical)

aswell as (horizontal)

The equation formed using the given data is 195 = x + 12 and your final score is 183 points.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say your final score is x

Given that,

Your final score x is 12 points less than your friend's final score.

So,

x = friend final score - 12

Now,

Friend final score = 195

So,

x = 195 - 12

x + 12 = 195

195 = x + 12

Now,

x = 195 - 12 = 183

Hence "The equation formed using the given data is 195 = x + 12 and your final score is 183 points".

For more about the equation,

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Answer:

D

Step-by-step explanation:

So we have the equation:

[tex]ax+by+c=0[/tex]

First, let's convert this to slope-intercept form.

Subtract ax from both sides:

[tex]by+c=-ax[/tex]

Subtract c from both sides:

[tex]by=-ax-c[/tex]

Divide everything by b:

[tex]y=-\frac{a}{b}x-\frac{c}{b}[/tex]

We are told that a>0, b<0, and c>0.

In other words, a is positive, b is negative, and c is positive.

The slope of the equation is -a/b.

Since a is positive and b is negative, we will have:

-(+)/(-).

The negatives will cancel out. Therefore, our slope will be positive.

Since our slope is positive, our line must be upwards sloping. Eliminate answers A and C.

Also, our y-intercept is:

-c/b.

c is positive and b is negative. Thus, similarly:

-(+)/(-).

Again, the negatives cancel. This means that the y-intercept must be positive.

Out of B and D, the graph that has a positive y-intercept is D.

D is our answer :)

Answer:

one angle : 6x=6(90/11)=540/11 (49.1 rounded to the nearest tenth)

other angle=5(90/11)=450/11 (41 degrees rounded to the nearest ones)

Step-by-step explanation:

ratio of the angles 6:5

when you draw diagonal inside a rhombus it creates four right angled triangle

one angle=90

6x+5x=90 ( the other angles is complimentary)

11x=90

x=90/11

one angle : 6x=6(90/11)=540/11 (49.1 rounded to the nearest tenth)

other angle=5(90/11)=450/11 (41 degrees rounded to the nearest ones)

Answer:

x+5

Step-by-step explanation:

Answer:

[tex]\Huge \boxed{x+5}[/tex]

Step-by-step explanation:

Let the number be x.

5 more than x.

The verbal phrase to algebra:

x + 5

Answer:

linear

Step-by-step explanation:

hey there,

< Linear equations are constant. They are not like parabolas so they are not curved but instead are straight, which allows them to be constant. >

Hope this helped! Ask me any more questions if you still don't understand!

Answer: The answer is a Linear Function

Step-by-step explanation:

Let present age of women be x.

Then,Present age of her daughter be y.

According to the question,

Two years ago,

Woman age = x - 2

Her daughter age = y - 2

Woman was 7 times old as her daughter. [ Given ]

x - 2 = 7 ( y - 2 )

=> x - 2 = 7y - 14

=> x - 2 + 14 = 7y

=> x + 12 = 7y ....( i )

After Three years ,

Woman age = x + 3

Her daughter age = y + 3

she would be 4 times old as the girl. [ Given ]

x + 3 = 4 ( y + 3 )

=> x + 3 = 4y + 12

=> x = 4y + 12 - 3

=> x = 4y + 9....( ii (

Now,

★ Putting the value of x = 4y + 9 from equation ( ii ) in equation ( i ),we get

x + 12 = 7y

=> 4y + 9 + 12 = 7y

=> 21 = 7y - 4y

=> 21 = 3y

=> 3y = 21

=> y = 21/3

=> y = 7

And,

x = 4y + 9

★ Putting the value of y in equation ( ii ), we get

x = 4 × 7 + 9

x = 28 + 9

x = 37

Hence, the present age of women is 37 years and her daughter age is 7.

Answer:

18

Step-by-step explanation:

1/3 of 27 is 9 so 2/3 is 18

Answer:

2.4 hours

Step-by-step explanation:

To find the number of hours it takes to cook 3 kilograms of meat, we must fist find the rate of the ration we have:

12 : 5

= 12 / 5

= 2.4

This means that if you mulitply this by the value of the weight of meat, you'll get the amount of time it takes to cook that amount of meat.  We can do ths is find the time it takes to find the hours it takes to make 3 ilograms of meat:

x : 3

x = 3 * 2.4 = 7.2

x : 3

= 7.2 : 3

I takes 7.2 hours to cook 3 kilograms of meat.  You can use this process to find all the other hours based on the weight.

I hope this helps!  Tell me if I am wrong!

Answer:

1.095, 1.152, 1.153, 1.338, 1.45, 1.729, 1.755, 1.806, 1.935, 1.993

Step-by-step explanation:

Answer:

The perimeter of the rectangle is 10.5p + 10.7q - 3.8r

Step-by-step explanation:

The perimeter of the triangle is calculated by adding the values of the three sides.

In this case, the values of the individual sides are expressed algebraically.

We can still add them, however, taking into consideration like terms.

Perimenter of triangle = (4.1p+4.4q) + (6.4p-5.1r) + (1.3r+6.3q)

Perimeter = 4.1p + 6.4p + 4.4q + 6.3q -5.1r + 1.3r

Now we have grouped them, we can add the different groups separately

Perimeter = 10.5p + 10.7q - 3.8r

Therefore, the perimeter of the rectangle is 10.5p + 10.7q - 3.8r

Answer: Many people mistakenly give credit to Leonardo da Vinci for inventing scissors. Although da Vinci was brilliant, scissors were around for a long time before him. Some historians believe scissors were invented in the Middle East as long as 3,000-4,000 years ago.

Step-by-step explanation: Leonardo da Vinci

Scissors of the kind used today are believed to have been first made in 1 A.D in Rome. Some historians believe that Leonardo da Vinci is the inventor, for he had used it for cutting canvas. Although this view has not been widely accepted, Da Vinci helped to spread the popularity of scissors.

Hope this helps^^

Answer:

Apparently he isnt....

Answer:

n=−5

Step-by-step explanation:

0.6(10n+25)=10+5n

Step 1: Simplify both sides of the equation.

0.6(10n+25)=10+5n

(0.6)(10n)+(0.6)(25)=10+5n(Distribute)

6n+15=10+5n

6n+15=5n+10

Step 2: Subtract 5n from both sides.

6n+15−5n=5n+10−5n

n+15=10

Step 3: Subtract 15 from both sides.

n+15−15=10−15

n=−5

Answer:

Kelly earns more.

Step-by-step explanation:

Find how much Luna makes first.

24hx8days=192 hours

Then put the 192 hours into groups of 4.

192h/4h=48

Now, we take 48 x 500 to find how much Luna makes.

48x$500=$24000

Now, we have found how much Luna makes. Now, we find how much Kelly makes.

24hx10d=240h

Then put the 240 hours in groups of three.

240h/3h=80

Now, we take 80x$490

80x$490=$32900

(disclaimer: This method is what i use, i always come up with them takes me super long)