Write the equation of the line with a slope of 6 and pass-through (-2,-4)

Answer:

Step-by-step explanation:

vector e is (-1,5),f is (3,-4),g is (2,1)

2i+j=x(-i+5j)+y(3i-4j)

2=-x+3y (multiply by 5)

10=-5x+15y

1=5x-4y

add

11=11y

y=1

2=-x+3(1)

x=3-2=1

2i+j=1(-i+5j)+1(3i-4j)

Answer:

The area is 4.

Step-by-step explanation:

hope this helps.

Answer:

1/6

Step-by-step explanation:

Check the attachment.

Answer:

Step-by-step explanation:

Step-by-step explanation:

calculate the missing angle 'a'

9:57

Answer

Hence in 77 days 107. will decay Remain = 90%

Explanation

Given: half life = 385 half-life

To find: what fraction remains after 22 days

Solution.

Let total amount = 100%.

time taken for decaying Si%. = 385

In time of 72 days = 305 77

= 5

→ Remarwiny = 50 = 10%.

Hence in 72 days 1-7. will decay Remain = 90%.

The 3/8 chance is the probability of winning a scholarship.

The odds of winning a scholarship is 3/5

The probability is given as:

P(Win) = 3/8

The odds is calculated using:

Odds = P(Win)/[1 - P(Win)]

This gives

Odds = 3/8/[1 - 3/8]

Evaluate the difference

Odds = (3/8)/(5/8)

Evaluate the quotient

Odds = 3/5

Hence, the odds of winning a scholarship is 3/5

Read more about probability at:

https://brainly.com/question/251701

Answer: The width of the rectangle is 5 cm and the length is 13 cm

Step-by-step explanation:

Let the width be x cm

Let the length be (x+8) cm

Area = 65cm²

[tex]\Rightarrow x(x+8)=65 \ [\because$ Area of rectangle $=$ length $\times$ width $]$ \\$\Rightarrow x^{2}+8 x-65=0 \Rightarrow x^{2}+13 x-5 x-65=0$ \\$\Rightarrow x(x+13)-5(x+13)=0 \Rightarrow(x+13)(x-5)=0$ \\$\Rightarrow x=-13$ or $x=5$ \\But width car't be negative. so $x=5$ \\[/tex]

Therefore:

Width = 5 cm

Length = 5 + 8 = 13 cm

Answer:

y = -1.4x + 16

Step-by-step explanation:

the slope is -1.4x

Use the slope formula:-

[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]

Plug in the values:-

[tex]\displaystyle\frac{9-2}{5-10}[/tex]

Simplify:-

[tex]\displaystyle\frac{7}{-5}= -\frac{7}{5}[/tex]

 [tex].~~~~~~~\uparrow\sf{Slope}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

A

Step-by-step explanation:

multiply the 6 with the numbers in the bracket

6x -12 + 21 < 39

addition(-12+21 =9)

6x + 9 < 39

grouping

6x < 39-9

6x < 30

divide both sides by the coefficient of x

6x/6 < 30/6

x < 5

Answer:

Step-by-step explanation:

The diagonal of a rectangular garden forms a hypotenuse with the width and length sides.  We can use the Pythogorean Theorem to calculate the remaining side.

Let W, L, and H stand for the Width, Length, and Hypotenuse, all in meters.

W^2 + L^2 = H^2

Enter the data:

(63/4)^2 + L^2 = (111/4)^2

248.06 + L^2 = 770.06

L^2 = 522

L = 22.847 meters

Perimeter is 2W + 2L

Perimeter = 2(63/4) + 2(22.847)

Perimeter = 77.19 meters

I bet the sum you're referring to is supposed to be

[tex]\displaystyle \sum_{r=0}^{20} r^2 \times {}^{20}C_r[/tex]

or equivalently,

[tex]\displaystyle \sum_{r=0}^{20} r^2 \binom{20}r[/tex]

where [tex]\binom nk = \frac{n!}{k!(n-k)!}[/tex] is the binomial coefficient.

Recall the binomial series,

[tex](1+x)^\alpha = \displaystyle \sum_{r=0}^\infty \binom\alpha r x^r[/tex]

which is valid for |x| < 1. (Note that if r > α, the binomial coefficient is defined to be zero, so there really are only α many terms when α is a whole number.)

Differentiating both sides with respect to x gives

[tex]\alpha (1+x)^{\alpha-1} = \displaystyle \sum_{r=0}^\infty r \binom\alpha r x^{r-1}[/tex]

Multiply both sides by some arbitrary x in |x| < 1 :

[tex]\alpha x (1+x)^{\alpha-1} = \displaystyle \sum_{r=0}^\infty r \binom\alpha r x^r[/tex]

Repeat:

[tex]\alpha (1+x)^{\alpha-1} + \alpha(\alpha-1) x(1+x)^{\alpha-2} = \displaystyle \sum_{r=0}^\infty r^2 \binom\alpha r x^{r-1}[/tex]

[tex]\alpha x (1+x)^{\alpha-1} + \alpha(\alpha-1) x^2 (1+x)^{\alpha-2} = \displaystyle \sum_{r=0}^\infty r^2 \binom\alpha r x^r[/tex]

Let α = 20, and let x approach 1 from below. The right side converges to the sum we want, while the left side converges to

[tex]20 \times 2^{19} + 20\times19\times 2^{18} = (20 + 10\times19)\times2^{19} = \boxed{210\times2^{19}}[/tex]

Answer:

500 grams

Step-by-step explanation:

we can conclude that the mass of each box is 0.5 kg by dividing 4 by 8

0.5 kg is 500 grams

Answer:

The answer is C

Step-by-step explanation:

The formula of a circle is pie radius ^2. Its asking for the surface area. So I got C because you do pie 18^2 and gets you approximately 1017. Although A also says 18 as the radius, it says meters. After you solve a surface area problem you do square meters or square units. For volume you have to use   units cubed or units ^3. Make sure to always do this or your teacher might count you as wrong.

Answer:

Let's first try to find the radius before finding the diameter because when you find the radius, you double it to get the diameter.

To find the radius, use the area for a circle formula and plug in the values you know so far, so the formula is;

A = π[tex]r^{2}[/tex]

What we know:

Plug that area in our equation:-

A = π[tex]r^{2}[/tex]

1,017 = 3.14[tex]r^{2}[/tex]

Solve for r;

÷3.14  ÷3.14

324(approximate) = [tex]r^{2}[/tex]

√324 = r

18 = r, the radius is around 18 square meters (do not mistake the unit for some other unit).

Plug in your options' numbers into the equation;

A = π[tex]r^{2}[/tex]

And by looking at the options, we can see the only number here being used is 18, so we use 18 in the formula for the area of a circle to check if it'll result in 1,017 as the area.

Also: Notice if it says diameter or radius when using this solution, you are looking for the radius first.

Answer:

x = 2

x = - 2

Step-by-step explanation:

⇒ 1: Common Factor

⇒ 2: Use the sum-product pattern

⇒ 3: Common factor from the two pairs

I dont feel like adding more details.

- rewrite in factored form

16(x(x+2)-2(x+2))=0

16(x-2)(x+2)=0

- create seperate equations

16(x-2)(x+2)=0

x-2=0

x+2=0

- solve

*rearrange and isolate the variable to find each solution

x = -2

x = 2

Answer:

B.x=2

Step-by-step explanation:

[tex]16x ^{2} - 64 = 0[/tex]

[tex]16x ^{2} = 64[/tex]

[tex]4 ^{2} {x}^{2} = {4}^{3} [/tex]

[tex] {x}^{2} = \frac{4 ^{3} }{4 ^{2} } [/tex]

[tex]x^{2} = 4[/tex]

[tex] \sqrt{x ^{2} } = \sqrt{4} [/tex]

[tex]x = 2[/tex]

Answer:

5/28

Step-by-step explanation:

1/1 represents the whole amount of tickets.

4/7 are sold on Thursday.

an additional 1/4 are did on Friday.

fraction of available tickets on Saturday are therefore

1/1 - 4/7 - 1/4 = 4/1 - 16/7 - 1/1 = 28/1 - 16/1 - 7/1 = 5/1

that means out of 28 equal parts of the total number of tickets 16+7 = 23 parts have been sold.

so, there are only 5 out of the total 28 parts available on Saturday, and the fraction of available tickets is therefore 5/28.

we could have also tried to bring both fractions to the same denominator, and found that this is 28.

and then

4/7 + 1/4 = 4/4 × 4/7 + 7/7 × 1/4 =

= 16/28 + 7/28 = 23/28

and the whole is 28/28.

so we have 28/27 - 23/28 = 5/28 left.

surprise, surprise, it is the same result ...

Answer:

y = -3/2x + 3

Step-by-step explanation:

slope-intercept form: y - y₁ = m (x - x₁)

y - 9 = -3/2 ( x + 4)

y = -3/2 x - 6 + 9

y = -3/2x + 3

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

C

Step-by-step explanation:

3/5 + 2/5 + 4/5 = 1 4/5 or 9/5

Answers are c !!!

Step-by-step explanation:

if you added them you would get c I think hope this helps!!

Answer: 1) Real, human and financial capital must be rented from owners, 2) Risk and expected reward go hand in hand, 3) While accounting is the language of business, cash is the currency, 4) New venture financing involves search, negotiation and privacy, 5) A venture’s financial objective is to increase value, 6) It is dangerous to assume that people act against their own self-interests, 7) Venture character and reputation can be assets or liabilities. 

Answer:

i think that B..is a right answer

Answer:

An octagon is a polygon with eight sides.

Step-by-step explanation:

Octa or Octo means eight. Like an octopus. They call it an octopus because it has eight limbs.

A stop-sign is an examle of an octagon.

Hope that helps!

Answer: C) 1/16

Hope this helps :)

=====================================================

Explanation:

The first two rows are already done. They have X's for every month to indicate a monthly payment regularly throughout the year without any extra conditions/requirements.

The third row will have exactly 4 copies of X in it. Two of them are already placed for January and April. The other two payments are in July and October. Notice the months are spaced 3 apart and how 12/4 = 3.

The fourth row will have X's across every cell in the same way the first row does since the internet bill is monthly. The same applies to the cell phone bill and food rows.

Something like the car loan will only have 2 copies of X in that row. Semiannual means twice a year, aka every 6 months. One copy of X is already placed for us in this row. This is in January (month 1). Six months later in month 1+6 = 7 (July) is when the next car loan payment occurs.

Lawn care will have X's only for the months of April through September; any other month won't have an X.

Day care will have X's for February, April, June, August, October, December. We start with February and alternate each month to fill out the rest of the year. This is due to the phrasing "every other month".

The gym membership will have one X for July only, since it's an annual payment.

Answer:

my best estimate would be 15,116,600

Step-by-step explanation:

,

Answer:

Step-by-step explanation:

The given relations allow us to write three equations in the three unknown values. We can let x, y, z represent the three numbers, in order.

__

  x +y +z = 10 . . . . . . . the sum of the three numbers is 10

  2x +4y +5z = 33 . . . . . designated sum is 33

  6x -y = 28 . . . . . . . . 6 times the first is 28 more than the second

__

There are many ways to solve a system of equations like this. Perhaps one of the easiest is to enter the equations as an augmented matrix in your calculator, and let it do the work. (Some calculators will solve the equations directly.)

The three numbers are 5, 2, and 3.

_____

Additional comment

The third equation lets you write an expression for y in terms of x:

  y = 6x -28

Substituting this into the first two equations, we get ...

  x +(6x -28) +z = 10   ⇒   7x +z = 38

  2x +4(6x -28) +5z = 33   ⇒   26x +5z = 145

Subtracting the second from 5 times the first of these equations gives ...

  5(7x +z) -(26x +5z) = 5(38) -(145)

  9x = 45 . . . . . the y-variable is eliminated

  x = 5

Use equations from above to find z and y.

  z = 38 -7x = 3

  y = 6(5) -28 = 2

Answer:

[tex]\red{\frac{ {c}^{10}}{{d}^{10} } }[/tex]

Step-by-step explanation:

[tex] \huge \: \frac{ {c}^{ - 6} {d}^{4}}{ {c}^{ - 16} {d}^{14} } \\ \\ = \huge \: \frac{ {c}^{16 - 6}}{{d}^{14 - 4} } \\ \\ = \huge \: \red{\frac{ {c}^{10}}{{d}^{10} } }[/tex]

Answer:

Diego has 7

Step-by-step explanation:

So if Susan has 21 and she has 3 times as much money as Diego the equation is 21 divided by 3. 21 divided by 3 is 3 groups of 7 so the answer is 7

Answer:

Ok if Susan has $21 and She has 3 times as much money as Diego.

That means the equation is 21 divide by 3.

So that means Diego has $7.

Step-by-step explanation:

Answer:

7, -9

Reasoning:

When x is 7 or -9, the denominator equates to zero, making the expression undefined because nothing can be divided by zero.

Answer:

TRUE

Step-by-step explanation:

Do the pencil test . It doesnt have repeating X's.

Answer:

It is actually True so when you do it press true

Answer:

s = 66

Step-by-step explanation:

S = number of shakes

N = number of people

(N-1) = takes yourself out of the equation

÷ 2 = shaking hands with everyother person

so when 12 people present:

s = 12(12-1) /2

s = 12(11) /2

s = 132 /2

s = 66

Answer:

This is called an exponential function, values are inserted to variables where applicable, aka, n = total number of people at the party, if there are only 12 people, (b:) insert into function where 'n' appears: (12(12-1)/2 = 66. This means 66 handshakes will occur if there are 12 people present.

Answer:

The formula for calculating elapsed time is elapsed time = end time – start time. Subtract the minutes and hours separately. For example to calculate the elapsed time between 12:10 and 16:40, subtract 12:10 from 16:4. Looking at the hours, 16 – 12 = 4 and looking at the minutes, 40 – 10 = 30.