find the rate of change from the equation y=-7/8x+3​

Answer:

Line [tex]a[/tex] and line [tex]c[/tex] are parallel to each other.

Line [tex]b[/tex] is perpendicular to line [tex]a[/tex].

Line [tex]b[/tex] is perpendicular to line [tex]c[/tex].

Step-by-step explanation:

Rewrite the equation of each line in the slope-intercept form [tex]y = m\, x + b[/tex] to find the slope [tex]m[/tex] of that line.

In the slope-intercept form, [tex]y[/tex] need to be on the left-hand side of the equation while [tex]x[/tex] need to be on the right-hand side. The coefficient of [tex]y[/tex] must be [tex]1[/tex]. The slope of the line would then be equal to the coefficient of [tex]x[/tex].

For example, the equation of line [tex]a[/tex] could be rewritten in slope-intercept form as [tex]y = 3\, x + 5[/tex]. The coefficient of [tex]x[/tex] is [tex]3[/tex], so the slope of this line would be [tex]m_{a} = 3\![/tex].

Similarly, rewrite to obtain the the slope-intercept equation of line [tex]b[/tex]:  [tex]y = (-1/3)\, x + (2/3)[/tex]. The slope of this line would be [tex]m_{b} = (-1/3)[/tex].

The equation of line [tex]c[/tex] is already in slope-intercept form. The slope of that line would be [tex]m_{c} = 3[/tex].

Let [tex]m_{1}[/tex] and [tex]m_{2}[/tex] denote the slopes of two lines in a Cartesian plane.

In this question, the slope of line [tex]a[/tex] and line [tex]c[/tex] are the same: [tex]m_{a} = m_{c}[/tex]. Thus, line [tex]a\![/tex] and line [tex]c\![/tex] would be parallel.

The product of the slopes of line [tex]a[/tex] and line [tex]b[/tex] is [tex]m_{a}\, m_{b} = 3 \times (-1/3) = (-1)[/tex]. Thus, line [tex]a\![/tex] and line [tex]b[/tex] are perpendicular to each other.

Similarly, line [tex]b[/tex] and line [tex]c[/tex] are perpendicular to each other because the product of their slopes is [tex](-1)[/tex].

Answer:

A,C,D

Step-by-step explanation:

The slope of a line can be found by graph using rise over run ([tex]\frac{rise}{run}[/tex]). Look at the image below to see what this mean.

Rise = vertical

run = horizontal

I took two clear points on the line as seen below and drew a right angle that formed a right triangle with the line.

Now let's count how many units the rise is (look at the second image). This is 3 units

rise = 3

Count the units of the run (third image). This is 1 unit

run = 1

Let's put these two numbers together in the [tex]\frac{rise}{run}[/tex] form:

[tex]\frac{3}{1}[/tex] or simplified = 3

However, this is not the final answer. This is a negative slope, meaning that when you look at the line from left to right (like when you are reading words) the line reaches from the top left corner to the bottom right corner. A positive slope (reading left to right) reaches from the bottom left corner to top right corner.

To signify that the slope is negative you simply add a negative sign to it:

-3

Let me know if you have any further questions.

Answer:

the normal x is three and the red x is negative three

Step-by-step explanation:

Answer:

the radius of the circular target in the center is 2.12 feet

Step-by-step explanation:

the total area of the dartboard is

π x r² = π x 3² = 9π  (28.27 ft²)

The area of the actual target in the center needs to be half of the dartboard (4.5 π)  (14.14 ft²)

(Small area :  4.5π =  π x r²

                      Divide both sides by  π

        4.5 = r²

       √4.5 = r

      r= 2.12132034.......  (2.12 feet)

Answer:

we is right

Step-by-step explanation:

the correct answer is isosceles acute

Answer:

Vt = 58.86 m/s

Step-by-step explanation:

Stunt height = 10000 m

Stunt mass = 60 kg

force of gravity = 9.81 m/s^2

proportionality constant λ = 10

Forces acting on the stunt double : Gravity and air resistance

attached below is the detailed solution

Vt = 58.86 m/s

Answer:

border, meaning the perimeter would be 52 1/2 ft.

Step-by-step explanation:

(13 3/4 x 2) + (12 1/2 x 2) = 52 1/2

1/3, 2/4, 1/5, 9/3, etc....

Answer:

4x

Step-by-step explanation:

In algebra, to avoid confusing the multiply sign and x, we always just put the terms next to each other to show that they multiply each other. Here, since x is unknown, we can't find a specific answer and therefore just write it as 4x, which means 4 times x.

Answer:

-4.8

Step-by-step explanation:

an integer is a whole number that is not a fraction or decimal.

Answer:

The answer would be D :)

Step-by-step explanation:

Answer:

The distance is approximately 10.4 miles.

Answer:

exact distance is = 7.28010988928

rounded to the tenth of a mile is

distance is approximately 7.3 miles

Step-by-step explanation:

hypotenuse of a triangle that's 2 by 7

Pythagorean theorem

a^2 + b^2 = c^2

2^2 + 7^2 = c^2

4 + 49 = c^2

c^2 = 53

c = √53

c = 7.28010988928

tenth of a mile is

c = 7.3

Answer:

Hi Suuuman  the answer for your deleted question is OP = 7.75

Step-by-step explanation:

– 2x + 23 and -8 + 2x = 23 - 2x and -8 + 2x = x= 31 /4 =7 3/4 =7.75 measure of OP = – 2 ( 7.75) + 23 = -15.5 + 23 = 7.75

Step-by-step explanation:

Answer for this question Sarah went on a 36 mile trip to a soccer game. On the way back, due to road construction she had to drive 18 miles per hour slower. This made the trip take 1 hour longer.   36 = 18 +18(a+1)How fast did she drive to the soccer game? let the returning speed be x mphgoing to game speed = x+18 Answer is 18 km/h while returning

Step-by-step explanation:    Distance = 36

1 hour more while returning

time return - time going = 1

36/x - 36/(x+18) = 1

LCD= x ( x + 18 )

multiply by LCD

36 ( x + 18 ) - 36 x = 1 x ( x + 18 )

36*18=

36 x + 648 - 18 x = 1x ^2 + 18 x

648 = 1 x^2 - 18 x

x^2 + 18 x -648 = 0

x^2 +36x-18x-648=0

x(x+36)-18(x+36)=0

(x-18)(x+36)=0

x=-36 or 18

x =18

18 km/h while returning

while going speed = 18+18 = 36 km/h

SuuuuMan deseres all the credits as someone deleted his first ever question in error and i was shocked to see as no diagram was needed there or here -see answer in this post instead- and have requested moderators get SuuuMan an appology ok as and while you both learn the any ways to interprete x and setting both amounts to 0 and or setting amounts to = each other to find the value of x

Step-by-step explanation:

please mark me as brainlest

If 7 feet below the surface of a river is written as -7 then 0 would be the surface of the river.

Answer:

1673

Step-by-step explanation:

Answer:

9 miles

Step-by-step explanation:

5 ----50

x -----90

[tex]x=\frac{(90)(5)}{50} =\frac{450}{50} =9[/tex]

Hope this helps

Answer:

Hello there buddy

Your answer is

90 miles

Hope it’s helps you buddy

Step-by-step explanation:

~Awesome Jayden

Answer:

They have 30  miles to go

Step-by-step explanation:

1st: you find 3/4 of 120= 90 miles

They have traveled 90 miles

Next, you do 120-90.

You get 30 miles

Answer and Step-by-step explanation:

Solution:

(a) Let (bn) be a bounded sequence of (an) then, Bolzano- Weierstrass theorem,

(bn) contains a subsequence that is converges.

(b) The sequence :

Xn = 1 + (-1) n / 2 + 1/n

Clearly, (xn) does not contain 1 or 0.

If we take sequence (x2n), then it converges to 1 and when we take sequence (x2n+1),

Then it converges to 0.

(c) The sequence:

1

1,1/2

1, 1/2, 1/3

1, 1/2, 1/3, 1/4

i.e

(xn) = (1,1/2, 1, 1/2, 1/3, …)

Then, the subsequence (xn) that is identically ½ in second column and 1/3 is third column and so on.

It has sub sequence that converges to every point in infinite set {1, 1/2, 1/3, 1/4, 1/5…}.

(d) The sequence

{1, 1/2, 1/3, 1/4, 1/5…}

if we take sequence of given set, then, this set converges to zero. This is not contained in it.

If (xn) converges to every point in set {1, 1/2, 1/3 …} then there exists subsequence which converges to 0. And 0 does not belong to given set.

Answer:

Multiply 10 and 2 each by 4 and .07. Then add.

Step-by-step explanation:

Answer:

Multiply 10 and 2 each by 4 and .07. Then add.

Step-by-step explanation:

Answer:

The axis of symmetry should be x = 2

Step-by-step explanation:

should be written  :   f(x) = –(x + 2)^2 – 1

vertex form of the equation:

y = a(x - h)² + k

vertex means highest or lowest part

lowest part is (-2,-1)

axis of symmetry is

x = -b/2a

https://brainly.com/question/11657119

Answer:

your answer would be angleCED

Answer:

id say a geometric sequence

Step-by-step explanation:

you multiply 3 to get the next number of pies

9514 1404 393

Answer:

  11

Step-by-step explanation:

Put 3 where x is and do the arithmetic.

  g(x) = x² +2

  g(3) = 3² +2 = 9+2

  g(3) = 11

Answer:

correct

Step-by-step explanation:

it it is 10,000 because 10 * 10 * 10 = 10,000 but if it really wasn't that another way you could do it is I believe so 10 times three no cuz that's actually 30 10 times 20 or something but yeah correct