Work out
m
and
c
for the line:
3
x
+
2
y
−
1
=
0

Answer:

3

Step-by-step explanation:

cool

Hello there! :)

We are given that the line passes through the point (4,5) and that it's perpendicular to the line y=2x-3.

Perpendicular lines have slopes that are opposite reciprocals.

This means we take a number, make it negative, and flop it over:

2

-2

-1/2

So the slope of the line perpendicular to y=2x-3 is -1/2.

Now, we have the slope and a point that the line passes through, so we can write the equation in point-slope form, which looks like so:

y-y1=m(x-x1)

Where

y1 is the y-coordinate of the point

m is the slope

x1 is the x-coordinate of the point

Now, let's plug our values into the equation:

y-y1=m(x-x1)

y-5=-1/2(x-4)

y-5=-1/2x+2

y=-1/2x+2+5

y=-1/2x+7

Hence, that is the equation of the line.

Hope it helps.

~A lonely teen who helps others with a smile

-Grace :-)

Good luck.

Difference between relation and function?

So

Check option A

2 is repeated in domain

Hence table A is a relation.

Table B is a function

Answer:

C

Step-by-step explanation:

This function starts at point (1, 2), so 2 is inclusive. Therefore the range of this function is:

[tex]y \geq 2[/tex]

Answer:

y=5/6x+101/6

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-16)/(-13-(-1))

m=-10/(-13+1)

m=-10/-12

simplify

m=5/6

y-y1=m(x-x1)

y-16=5/6(x-(-1))

y-16=5/6(x+1)

y-16=5/6x+5/6

y=5/6x+5/6+16

y=5/6x+5/6+96/6

y=5/6x+101/6

36.)B

37.)C

38.)C

39.)C

40.)A

hoped that helped :)

Answer:

k

Step-by-step explanation:

Answer:

x = -9/2

Step-by-step explanation:

64 = 2^6

if you have the same base, you can set the exponents equal and solve for x.

-2x-3 = 6

-2x = 9

x = -9/2

good luck on your final! you got this!

Step-by-step explanation:

[tex] {2}^{ - 2x - 3} = 64[/tex]

first, get 64 to a base of 2

[tex] {2}^{ - 2x - 3} = {2}^{6} [/tex]

now we can drop the bases

[tex] - 2x - 3 = 6[/tex]

And now we can solve it like any other equation

[tex] - 2x = 6 + 3[/tex]

[tex] - 2x = 9[/tex]

[tex]x = - \frac{9}{2} [/tex]

Step-by-step explanation:

A. 4+(x-y)

B. 6+xy

C.( x.x.).y

hope it helps.

stay safe healthy and happy.

Answer:

A. 4+(X•Y)

B. 6×xy

C. (X•X)y

137 - 16X = Y

Since Lorraine is picking blackberries in her backyard at a rate of 15 berries per minute, and after 16 minutes of picking, there are still 137 blackberries left to pick, to determine an equation that models how many berries are left (y) after x minutes of picking, the following calculation must be performed:

137 - 16X = Y

Thus, for example, after 5 minutes the calculation would be as follows:

Learn more about maths in https://brainly.com/question/25989509

The equation of a line in point-slope form is expressed as:

y = mx + b

Given the inequality -2y > 7x + 4, this can also be expressed as:

-2y > 7x + 4

y < -7/2x -4/2

y< -7/2x - 2

This shows that the line will be a dashed line and cuts the y-axis at y= -2

Learn more on inequality graph here: https://brainly.com/question/11234618

Answer:

a₆₃ = 575

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 17 and d = a₂ - a₁ = 26 - 17 = 9 , then

a₆₃ = 17 + (62 × 9) = 17 + 558 = 575

You do not have the options listed, but I will tell you what the line needs:

[] A parallel line will need the same slope.

- The slope is our m in y = mx + b

[] What will this be for our problem:

- [tex]y=\frac{-7}{2}x-3[/tex]

- Our slope is [tex]\frac{-7}{2}[/tex]

[] So what will the line look like:

- [tex]y=\frac{-7}{2}x +?[/tex]

- Since you do not have the options listed, I cannot tell you the answer, but I can tell you the answer will have a slope of [tex]\frac{-7}{2}[/tex]

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

138485.1

Step-by-step explanation:

35% of 213,054 = 74568.9

213,054 - 74568.9 = 138485.1

Answer: 7+3/4x >= 31

Step-by-step explanation: 7 more = +7

three - fourths of a number = 3/4 x

no less than = >= (more than or equal to sign)

Step-by-step explanation:

first step is to define the line, and then, secondly find the right direction of the inequality.

we see a few nice points with integer coordinates.

the one on the y-axis is particularly helpful (0, 1), as it gives up the y- intercept right away (1).

another point is (1, 3).

so, the slope is

x changes by +1 (from 0 to 1)

y changes by +2 (from 1 to 3)

so the slope is 2/1 = 2

that means our equation is

y = 2x + 1

the graph says that the inequality is everything bigger than the line value, and the line is not included (dashed line).

so, we get

y > 2x + 1

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

[tex]m[/tex] - slope

[tex]b[/tex] - y-intercept

[tex]11)\ m=-1,\ b=2\\\\y=-x+2\\\\12)\ m=-\dfrac{3}{2},\ b=3\\\\y=-\dfrac{3}{2}x+3\\\\13)\ m=3,\ y=-2\\\\y=3x-2\\\\14)\ y=\dfrac{3}{4},\ b=1\\\\y=\dfrac{3}{4}x+1\\\\15)\ m=\dfrac{1}{2},\ b=1\\\\y=\dfrac{1}{2}x+1\\\\16)\ m=-\dfrac{2}{5},\ b=0\\\\y=-\dfrac{2}{5}x\\\\17)\ m=-7,\ b=2\\\\y=-7x+2\\\\18)\ m=\dfrac{4}{3},\ b=-4\\\\y=\dfrac{4}{3}x-4[/tex]

19) and 20) you have in other your question.

Answer:

62.8 ft

Step-by-step explanation:

Circumference = 2πr

2 * 3.14 * 10 = 62.8

Answer:

25

Step-by-step explanation:

Explanation:

30 ÷3 of [37-{30÷(13-20+12)}-26]

= 30÷3 × [37-{30÷(25-20)}-26]

= 30÷3 × [ 37-{30÷(5)}-26]

= 30÷ 3 × [37-{30÷5}-26]

= 30÷3 × [ 37 - {6}-26]

= 30÷3 × [ 37-6 - 26]

= 30÷3 × [ 37 - 32]

= 30÷3 × [5]

= 30÷3 ×5

= 30÷15

= 2Ans.

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Answer:

[tex] \rm \: Given,30 ÷3 \: of \: [37-{30÷(13-20+12)}-26][/tex]

[tex] \rm \: The \: operation \: 'of'[/tex]

[tex] \rm \: The \: expressions \: like \: twice \: of,one \: fifth \: of, eight \: percent \: of,the \: meaning \: 'of' \: is \: multiplication \: with.[/tex]

[tex] \rm \: 30 ÷3 \times [37-{30÷(13-20+12)}-26][/tex]

[tex] \rm \: 30 ÷3 \times [37-{30÷(13 + 12 - 20)}-26][/tex]

[tex] \rm30 ÷3 \times [37-{30÷(25-20)}-26][/tex]

[tex] \rm30 ÷3 \times [37-{30÷(5)}-26][/tex]

[tex] \rm \: 30 ÷3 [37-{30÷5}-26][/tex]

[tex]30 ÷3 [37-{6}-26][/tex]

[tex] \rm \: 30 \div 3\times [31 - 26][/tex]

[tex] \rm30 \div 3 \times 5[/tex]

[tex] \rm \: 10 \times 5[/tex]

[tex] \rm \: 50[/tex]

Answer:

10

Step-by-step explanation:

8 ÷ 4/5 = 10

I hope this helps!!

First make note of the domain of the left hand side.

• √(x + 1) is defined for x + 1 ≥ 0, or x ≥ -1.

• √(2 + √(x + 1)) is defined for 2 + √(x + 1) ≥ 0. If x ≥ -1, then this condition is satisfied.

• √(7 + √(2 + √(x + 1))) is defined for 7 + √(2 + √(x + 1)) ≥ 0. This condition is also satisified automatically if x ≥ -1.

Now solve the equation. Taking the square of both sides of

√(7 + √(2 + √(x + 1))) = 3

yields

7 + √(2 + √(x + 1)) = 3² = 9

√(2 + √(x + 1)) = 2

Squaring both sides again gives

2 + √(x + 1) = 2² = 4

√(x + 1) = 2

And once more,

x + 1 = 2² = 4   ⇒   x = 3

Answer:

below

Step-by-step explanation:

1 day = 580g

2weeks(14days)= 580×14g

= 8,120g

1g= 0.001kg

8,120g= 8,120 × 0.001(kg)

=8.12kg

Answer:

C

Step-by-step explanation:

Long division

I hope this helps have a great day :)

Answer:

The answer is the last one

Step-by-step explanation:

Answer:

= 66 R 30

= 66 30/61

4056 divided by 61 equals

66 with a remainder of 30

Solution:

   0 0 6 6

6 1 4 0 5 6

 − 0      

   4 0    

 −   0    

   4 0 5  

 − 3 6 6  

     3 9 6

   − 3 6 6

       3 0

Answer:

17,984,000

Step-by-step explanation:

because it is

Answer:

  15π/2 ft

Step-by-step explanation:

Arc length is given by the formula ...

  s = rθ . . . . . r = radius; θ = central angle in radians

A 135° arc has a radian measure of (135)(π/180) = 3π/4. The radius of a circle with a 20 ft diameter is (20 ft/2) = 10 ft. So, the arc length is ...

  s = (10 ft)(3π/4) = 30π/4 ft = 15π/2 ft

we have that

Y - 5 = 0.5x2 + 6x - 3--------------- > y=0.5x2 + 6x -3+5=0.5x2 + 6x+2

y=0.5x2 + 6x +2

using a graphic tool

see the attached figure

the graph have two x-intercepts----------> (-11.657,0) and (0.343,0)

Answer:

0% chance

Step-by-step explanation:

there are no green marbles

Marbles no

There is no green marbles

So it will never occur(impossible event)