Write an equation that passes through the point and is parallel
to the equation
Write the equation of the line that passes through the
given point and is parallel to the given equation
(2,6) and
y=-3x + 5

Answer:

[tex]\displaystyle{(d+5b)^3 = d^3 + 15bd^2 + 75b^2d + 125b^3}[/tex]

Step-by-step explanation:

The Binomial Theorem states that:

[tex]\displaystyle{(x+y)^n = \binom{n}{0}x^ny^0 + \binom{n}{1}x^{n-1}y^1+\binom{n}{2}x^{n-2}y^2 + \dots + \binom{n}{n}x^{n-n}y^n}[/tex]

Note that:

[tex]\displaystyle{_n C _r = \binom{n}{r} = \dfrac{_n P _r}{r!} = \dfrac{n!}{(n-r)!r!}}[/tex]

Therefore, first, we will write the expansion:

[tex]\displaystyle{(d+5b)^3 = \binom{3}{0}d^3(5b)^0 + \binom{3}{1}d^2(5b)^1+\binom{3}{2}d^1(5b)^2 + \binom{3}{3}d^0(5b)^3}[/tex]

Evaluate each terms:

[tex]\displaystyle{(d+5b)^3=\dfrac{3!}{3!0!}d^3 + \dfrac{3!}{2!1!}d^25b+\dfrac{3!}{1!2!}25b^2d + \dfrac{3!}{0!3!}125b^3}\\\\\displaystyle{(d+5b)^3 = d^3 + 15bd^2 + 75b^2d + 125b^3}[/tex]

Henceforth, [tex]\displaystyle{(d+5b)^3 = d^3 + 15bd^2 + 75b^2d + 125b^3}[/tex] is the expansion.

Answer:

Step-by-step explanation:

If you want to add a positive integer, jump right side and if you want to add negative number, then jump left side.

-3 + 5 = 2

2 +(-7) = -5

Answer:

Step-by-step explanation:

Given:

1cm = 85 km (on the map)

so map is

14 x 14 long or 85 x 85

Part A:

since the map is 14cm long, and the river is also 14 cm long, and each centimeter is equal to 85km, that means, =

14 x 85 = 1190km

so the river is 1190km long

Part B:

we can use just convert 765 into map cm to get answer,

sooo

765/85 = 9cm

SO THERE YOU HAVE IT:D

Answer:

undefined

Step-by-step explanation:

x=-6 is a vertical line at x=-6.

Any vertical line has an undefined slope.

Let's pick two points on x=-6– (-6,1) and (-6,0)

(1-0)/(-6-(-6))=1/-6+6=1/0

Because you cannot divide by 0, a vetical line has an undefined slope.

Answer:

1 ft =30.48 c.m

5 ft= 5 *30.48cm

=152.4 c.m

to reach 5 feet she need to grow

=152.4 c.m-148c.m

4.4 c.m

Answer: -7, -8, -9, and so on

Step-by-step explanation:

Answer:

[tex]3b^{4}[/tex]

Step-by-step explanation:

[tex]36a^{4} b^{7} / 12a^4b^3\\[/tex]

Break it down step by step.

[tex]36/12=3\\a^4-a^4=0\\b^7-b^3=4[/tex]

Answer:

he is right

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

1 oboe in every 7 clarinets so there would be 2 in 14 and 3 in 21

Answer:

  no

Step-by-step explanation:

The triangle inequality requires the sum of the shorter two sides exceed the length of the longest one. Here, we have ...

  10 +12 = 22 . . . . does not exceed 22

The lengths will not form a triangle.

_____

Additional comment

Some authors write the triangle inequality as ...

  a +b ≥ c

If this is the one your curriculum author uses, then these side lengths will form a triangle.

Answer:

30 degrees

Step-by-step explanation:

The angle is a combination of the 14 degrees and 18 degrees from the opposite side

Answer:

y = 3x - 1

Explanation:

1)

passes y-axis means x will be 0,

when x = 0,

y = 3x − 1

y = 3(0)-1

y = -1 ................so matches with option 1.

2)

Here given in second option passes through ( 1 , 2 )

if x = 1

y = 3x − 1

y = 3(1) − 1

y = 2 ..........................so matches with option 2.

Therefore equation: y = 3x - 1 represents the current following.

Answer:

y = 3x - 1

Step-by-step explanation:

Answer:

m=33.7g

Step-by-step explanation:

See attachment

Answer:

The answer is what you have selected: (1, -5)

Step-by-step explanation:

To solve a system of equations by graphing, all you have to do is graph the equations and see where they intersect. It's pretty simple, especially if you use a website like Desmos. Here's a photo of my graph with the solution. (the point of intersection).

I hope this helps! Feel free to give me Brainliest if you feel like this helped. Best of luck with your assignment. :)

Answer:

I think A is the answer

Step-by-step explanation:

Comment down if I am wrong but if I am right give me stars or a thank you or a thank you comment.

Answer:

I believe it is c 216-6n sorry hope you know what I am talking about

Step-by-step explanation:

m

Answer:

F. -5

Step-by-step explanation:

2x + 1 its x < 4 not x ≤ 4 so theres no function for f(4) on the first inequality

To calculate the number of divisors by the prime factors, one has to take all the exponents in the factorization.

It should be noted that a prime factor simply means the prime numbers that are multiplied to get a number.

In order to calculate the number of divisors by the prime factors, one has to take all the exponents in the factorization, add one to each and then multiply the exponents.

Learn more about prime factors on:

https://brainly.com/question/945630

Answer:

C. 3x=21

x=7

Step-by-step explanation:

Answer:

Number A

Because he want to now the number of people the van is carrying

Step-by-step explanation:

Answer:

Step-by-step explanation:

2(3x+4) = 32 show work please

2 * (3x + 4) = 32

6x + 8 = 32

6x = 24

x = 24 : 6

x = 4

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

check

2 * (3 * 4 + 4) = 32

2 * 12 + 8 = 32

32 = 32

the answer is good

Answer:

The value of x is 4.

Step-by-step explanation:

CONCEPT :

Here, we will use the below following steps to find a solution using the transposition method:

[tex]\begin{gathered}\end{gathered}[/tex]

SOLUTION :

To solve this equation, we'll use this given concept :

[tex]\begin{gathered}\qquad{\twoheadrightarrow{\sf{2(3x + 4) = 32}}}\\\\\qquad{\twoheadrightarrow{\sf{(2 \times 3x) + (2 \times 4) = 32}}}\\\\\qquad{\twoheadrightarrow{\sf{(6x) + (8) = 32}}}\\\\\qquad{\twoheadrightarrow{\sf{6x + 8 = 32}}}\\\\\qquad{\twoheadrightarrow{\sf{6x = 32 - 8}}}\\\\\qquad{\twoheadrightarrow{\sf{6x = 24}}}\\\\\qquad{\twoheadrightarrow{\sf{x = \dfrac{24}{6}}}}\\\\\qquad{\twoheadrightarrow{\sf{x = 4}}}\\\\\qquad{\star{\boxed{\sf{\purple{x = 4}}}}}\end{gathered}[/tex]

Hence, the value of x is 4.

[tex]\rule{300}{2.5}[/tex]

Answer:

You need to actually input the question

Step-by-step explanation:

yeah

Answer:

Step-by-step explanation:

The coordinates of the given vertices are ...

Reflection across the y-axis changes the sign of the x-coordinate:

  (x, y) ⇒ (-x, y) . . . . . . reflection across the y-axis

This means the reflected figure has coordinates ...

  D(1, 1) ⇒ D'(-1, 1)

  E(4, 8) ⇒ E'(-4, 8)

  F(8, 8) ⇒ F'(-8, 8)

Answer:

the fraction shown is 2 and 3/8

Step-by-step explanation:

there are 7 spaces between each whole number this means that we are using 8th's meaning that if we are on the 3rd space it is 3/8

Given :-

To Find :-

Solution :-

As we know that ,

→ (-) × (-) = (+)

→ (-) × (+) = (-)

→ (+) × (-) = (-)

→ (+) × (+) = (+)

On using these open the brackets ,

→ -1/3 - 1( -4 + 1/6 )

→ -1/3 - 1(-4) + -1(+1/6)

→ -1/3 (-)(-)(1* 4) (+)(-) (1*1/6)

On using now above stated rules ,

→ -1/3 +4 -1/6

Somewhat rearrange ,

→ 4 -1/3 -1/6

Take (-) as common,

→ 4 - (1/3 +1/6)

Hence Option (d) & (f) are correct .

I hope this helps.

Answer:

y=2x-8

Step-by-step explanation:

Hi there!

We want are given a line with a slope of 2, that passes through the point (9, 10)

We want to find the equation of this line in slope-intercept form

Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept

As we are already given the slope, we can immediately plug it in as m in the formula.

y=2x+b

Now we need to find b, which is the value of the y intercept

As the equation passes through the point (9, 10), it is a solution to the equation, meaning that if we plug it into the equation of the line, it will create a true statement.

So we can use its values of x and y to help us solve for b.
Substitute 9 as x and 10 as y in the equation.

10=2(9) + b

multiply

10=18+b

Subtract 18 from both sides to isolate b on one side

-8=b
Substitute -8 as b into the equation

y=2x-8
Hope this helps!

If you would like additional problems to practice, here are two of them, both with explanations (n.b., the solution to the first link included uses a different method from the one in this answer.)
https://brainly.com/question/18112053
https://brainly.com/question/25508767

Answer:

-2

Step-by-step explanation:

if lines are parallel then they always have the same slope!

Answer:

Answer is A

Step-by-step explanation:

» Consider two points plotted on the line;

» General equation of a line has an expression in format of;

[tex]{ \rm{y = mx + c}}[/tex]

» Finding the slope [m] :

[tex]{ \rm{slope = \frac{y_{2} - y _{1}}{x _{2} - x _{1} } }} \\ [/tex]

• But remember from the points or coordinates we fetched out of the graph;

Therefore, lets feed in the formular:

[tex]{ \tt{m = \frac{ {}^{ - } 2 - 0}{0 - 3} = \frac{ - 2}{ - 3} }} \\ \\ { \boxed{ \tt{m = \frac{2}{3} }}}[/tex]

» Finding y-intercept [c] :

☑ REMEMBER: y = mx + c

• Consider point (0, -2)

[tex]{ \tt{y = mx + c}} \\ { \tt{ - 2 = ( \frac{2}{3} \times 0) + c}} \\ \\ { \boxed{ \tt{ \: c = - 2 \: }}}[/tex]

» Arrange the equation:

Equation is y = ⅔x - 2

The equation of the linear function in the given graph, in slope-intercept form, is: A. y = 2/3x - 2

The equation of a linear function can be defined by the equation, in slope-intercept form, as y = mx = b.

Slope (m) = rise/run = 2 units/3 units = 2/3

Y-intercept (b) = -2

Substitute b = -2 and m = 2/3 into y = mx + b.

y = 2/3x + (-2)

y = 2/3x - 2 (Option A)

Learn more about the equation of a linear function on:

https://brainly.com/question/15602982

#SPJ2

Answer:

£44.05 per ticket

24.3%

Step-by-step explanation:

The amount of profit per ticket is

£225 - £180.95 = £44.05

The percent profit is:

£44.05/£180.95 × 100% = 24.3%

Step-by-step explanation:

20

opposite angles are equal

6x = 120

x = 20