What is the equation of a line that passes through (4, 3) and has a slope of 2?
Oy= 2x – 11
Oy=2x-1
Oy= 22 – 5
y= 22 - 7

Answers

Answer 1

Answer:

[tex]y=2x-5[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

We're given that the slope is 2. Plug this into [tex]y=mx+b[/tex] as m:

[tex]y=2x+b[/tex]

Now, to solve for the b, plug in the point (4,3):

[tex]3=2(4)+b\\3=8+b\\3-8=b\\-5=b[/tex]

Therefore, the y-intercept is -5. Plug this back into [tex]y=2x+b[/tex] as b:

[tex]y=2x+(-5)\\y=2x-5[/tex]

I hope this helps!

Answer 2
Given :-

(x,y) = (4,3)

m = 2

Solution :-

We know that

y = 2x + b

3 = 2(4) + b

3 = 8 + b

3 - 8 = b

-5 = b

Now

We need to find the equation

Equation = y = 2x + b

We have

x = x

y = ?

b = -5

y = 2(x) + (-5)

y = 2(x) - 5

y = 2x - 5

Option C is exactly correct.


Related Questions

Rearrange the formulae to make x the subject:
ay/x - dx= wx
Thanks in advance

Answers

Answer:

[tex] \frac{ay}{x} - dx = wx [/tex]

multiply x through out:

[tex]ay - {dx}^{2} = w {x}^{2} \\ {wx}^{2} + {dx}^{2} = ay[/tex]

factorise out x²:

[tex] {x}^{2} (w + d) = ay \\ {x}^{2} = \frac{ay}{w + d} [/tex]

take square root on both sides:

[tex] \sqrt{ {x}^{2} } = \sqrt{ \frac{ay}{w + d} } \\ \\ x = \sqrt{ \frac{ay}{w + d} } [/tex]

Step-by-step explanation:

the biggest obstacle is usually a division by x.

so, let's get rid of it by multiplying both sides of the equation by x

ay - dx² = wx²

then

ay = wx² + dx² = (w+d)x²

y = (w+d)x²/a = x² × (w+d)/a

Some math help please?

Answers

Answer:

∠ LMP = 77° , ∠ NMP = 103°

Step-by-step explanation:

The 2 angles on the straight line sum to 180° , that is

∠ LMP + ∠ NMP = 180 , substitute values

- 16x + 13 - 20x + 23 = 180 , that is

- 36x + 36 = 180 ( subtract 36 from both sides )

- 36x = 144 ( divide both sides by - 36 )

x = - 4

Then

∠ LMP = - 16x + 13 = - 16(- 4) + 13 = 64 + 13 = 77°

∠ NMP = - 20x + 23 = - 20(- 4) + 23 = 80 + 23 = 103°

resolve into factors:- 49m² + 154m + 121

Answers

Answer:

4m^2 +154m +121

49m^2 +( 77+77)m +121

49m^2 + 77m +77m +121

7m (7m +11) +11 (7m +11)

(7m+11) (7m+11)

hope it was helpful

Answer:

[tex](7m + 11 {)}^{2} [/tex]

Step-by-step explanation:

[tex]49 {m}^{2} + 154m + 121[/tex]

➡️ [tex] {7}^{2} {m}^{2} + 2 \times 7m \times 11 + {11}^{2} [/tex]

➡️ [tex](7 m{)}^{2} + 2 \times 7m \times 11 + {11}^{2} [/tex]

➡️ [tex] = (7m + 11 {)}^{2} [/tex] ✅

2. χΣ -4
Please help

Answers

Step-by-step explanation:

1)x is less than 7

2)x is greater than and equal to -4

Help (Geomotry)!!!!

Answers

LM + MN = LN

x + 7 + 3x + 20 = 6x - 5

4x + 27 6x - 5

4x - 6x-27-5

-2x = -32

x = -32: (-2)

x = 16

Therefore

MN = 3x + 20 = 3 16+ 2048 + 20 = 68 Answer: MN = 68.

If it says area does it mean

A, addition
B, subtract
C, multiplication
E, division
F, equals

Answers

The answer is C, multiplication.

Answer:

C. Multiplication

Step-by-step explanation:

To find the area, you multiply the width and length.

Squares, Rectangles, Rhombuses: l x w = a

Triangles: l x w

                  2      

What is the length of a rectangle with width 12in. and area 66in.²​?

Answers

Answer:

5.5 inches

Step-by-step explanation:

Because Length * Width = Area, Length * 12 = 66.

If we solve for Length by dividing both sides by 12, we end up with Length = 5.5 inches

14 +3n = 8n - 3(n - 4)

Answers

Answer:

n=1

Step-by-step explanation:

Start by distributing the -3 to (n-4)

14+3n=8n-3n+12

Then combine like terms on the right

14+3n=5n+12

Subtract 12 from both sides

2+3n=5n

Subtract 3n from both sides

2=2n

Divide both sides by 2

1=n

B
8
С
Find the length of "c" to the
nearest tenth using the
Pythagorean Theorem.
Enter

Answers

Answer:

10.6

Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

Where a and b = the legs and c = hypotenuse

We are given two legs and need to find the hypotenuse

Given:

Short leg (a) = 7

Long leg (b) = 8

Hypotenuse = c

Now to find the value of c we simply plug in the values of the variables into the Pythagorean theorem and solve for c

Pythagorean theorem: a² + b² = c²

a = 7, b = 8, c = c

Plug in values

7² + 8² = c²

Now solve for c

Simplify exponents

49 + 64 = c²

Add

113 = c²

Taking the square root of both sides

c = 10.6 ( rounded to the nearest tenth )

Answer:

c = 10.6

Step-by-step explanation:

[tex]h {}^{2} = p {}^{2} + b {}^{2} \\ c {}^{2} = (8) {}^{2} + (7) {}^{2} \\ c = \sqrt{64 + 49} \\ c = \sqrt{113} \\c = 10.6[/tex]

Suppose y varies directly with x, and y = 12 when x= - 4. Find x when y= 15.

Answers

Answer:x=-5

Step-by-step explanation:

Sarah is going on a trip. She drives for 2 hours and 50 minutes, rests for 30 minutes and drives
for another 1 hours 10 minutes.
What is her total travel time in hours and minutes

Answers

Answer:

4hr and 30 min

Step-by-step explanation:

2hr and 50 min + 30 min = 3hr and 20 min

3hr and 20 min + 1hr and 10min = 4 hr and 30min

20=x+12

What is the value of x, please help me, thank you.

Answers

Answer:

20-12= x

8=x

x=8

Step-by-step explanation:

I think check once to confirm tho

Answer:

8

Step-by-step explanation:

20 = x + 12                           Subtract 12 from both sides to get x on it's own.

20-12= x                               Simplify

8 = x

x = 8                                     Here is your answer!

Hope this helps,

Please mark me the brainliest!

PLEASE HELP I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER
himari is solving the equation 4 ( x - 3 ) = 16. Her first step is 4x - 12 = 16
which step could be the next step? select all that apply.
1. 4x - 12 + 12 = 16 + 12
2. 4x - 12 - (-12) = 16 - (-12)
3. 1/4 x ( 4x - 12 ) = 16 x (1/4)
4. 4x/4 - 12 = 16/4
5. 4 x ( 4x - 12 ) = 16 x 4

Answers

It’s 1. (4x - 12 + 12 = 16 + 12)

Answer:

1. could be the next step.

3. could be the next step.

Step-by-step explanation:

I need help I’m been stuck on this section forever

Answers

There is 6.05 gallons of gas left in her car when she drives for an hour

evaluate the impact of risky behaviour on your personal expectations in relation to your career help with maths too​

Answers

Step-by-step explanation:

In triangle ADE:

sum of all angles is 180.

3x-10+58+42=180

3x+90=180

3x=180-90

3x=90

x=90/3

x=30

As line DA and CB are parallel:

angle D=angle C

angle y=58

In angle BCE, sum of angles is 180.

z+58+42=180

z+100=180

z=180-100

z=80

Simplify (2^-1 +5^-1)^2 *(-5/8)^-2

Answers

Answer: 1.2544

Step-by-step explanation:

2^-1 = 1/2

5^-1 = 1/5

1/2+1/5 = 7/10

(7/10)^2=49/100=0.49

(-5/8)^-2 = 64/25=2.56

(2^-1 +5^-1)^2 *(-5/8)^-2 = 0.49 * 2.56 = 1.2544

my family uses 3 cartons of milk a day . how many cartons did we use in january

Answers

Answer:

93 cartons

Step-by-step explanation:

January-31

no of cartons-3 × 31=93

Midpoints & endpoints

Answers

Answer:

The coordinates of A are (1, -4)

Step-by-step explanation:

The formula for finding a midpoint is ((x1 + x2) / 2, (y1 + y2) / 2)

However, in this problem, we're already given the midpoint.  We're trying to find an endpoint.  So, the equation changes into:

((x + 9) / 2 = 4, (y + 0) / 2 = -2)

For the x and y coordinates, multiply both sides by 2

(x + 9 = 8, y = -4)

(x = -1, y = -4)

Rewrite as coordinates.

(-1, -4)

Is this a function? {(-3, 1), (1, -2), (3, 0), (4, 5)}

Answers

Yes it is a function :))))))))))

Solve - 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] + 3 ( x - 1 ) (and could you please explain it to me?? I really don't get it. Thanks!)

Answers

Answer:

Step-by-step explanation:

[tex](x+2)(x-1)= x^2+2x-x-2= x^2 +x -2\\\\( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 =x^2+x-2-x^2+1=x-1\\\\- 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] =-3(x-1)=-3x+3\\\\- 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] + 3 ( x - 1 ) =-3x+3+3x-3=6x\\[/tex]

if two planes intersect, then their intersection is a point true or false

Answers

I believe that it is true

Step-by-step explanation:

sorry if im wrong

Answer:

False.

Step-by-step explanation:

Solve for x: the quantity of x plus 20 over 2 = 3x

Question 6 options:

x = 10


x = 4


x = −14


x = −17

Answers

Answer:

B. x = 4

Step-by-step explanation:

Answer: X = 4

Step-by-step explanation:

(x + 20)/2 = 3x

x + 20 = 2*3x

x + 20 = 6x

20 = 6x - x

20 = 5x

20/5 = x

x = 4


Which pair of transformations moves quadrilateral 1 to quadrilateral 2?

a:Reflect over the line y = -3, then rotate it 90 degrees counterclockwise about the origin

b:Reflect it over the x-axis, then rotate it 180 degrees about the origin

c:Rotate it 90 degrees counterclockwise about the point (-3, -3) then translate it 8 units to the right

d:Translate it 8 units to the right, then reflect it over the line y=-3

Answers

Answer:

Answer choices:

a. Reflection takes it to Q2, further rotation takes it back to Q3

Incorrect

b. Reflection takes it to Q2, rotation takes to Q4 with right shape.

Correct

c. Rotation takes is to Q4, translation keeps in same Q but with wrong shape

Incorrect

d. Translation takes it to Q4, reflection keeps it in same Q but with wrong shape

Incorrect
Reflect it over the x-axis, then rotate it 180 degrees about the origin

Because the shape is present in Q3

So reflection over x axis takes it to Q2

Then 180° rotation about origin takes it to Q4

Hence Option B is correct

Write a rule for the geometric sequence with the given description. The first term is -3, and 5 is the previous term.

Answers

Answer:

The rule is (-3)(5)^(n-1).

Step-by-step explanation:

OK so the common ratio is 5 and first term = -3.

nth term = ar^(n-1)

= (-3)(5)^(n-1).

Identify the perfect squares.
Select all that apply:

Answers

Answer:

81, 64, 49

Step-by-step explanation:

81/9=9

64/8=8

49/7=7

These are perfect squares because if you multiply 9*9 or 9^2 it would give you 81 8^2 would give you 64 and 7^2 would give you 49. Answers are: 81, 64, 49

solve for X: -0.6x>3

Answers

Answer:

x < -5

Step-by-step explanation:

-0.6x > 3

=> Dividing 0.6 on both sides

=> -x > 3/0.6

=> -x > 5

=> x < -5     [When we multiply -1 on both sides the sign changes]

The solution to the inequality -0.6x > 3 is x < -5.

To solve for x in the inequality -0.6x > 3, we need to isolate x on one side of the inequality.

First, to divide both sides of the inequality by -0.6 to remove the coefficient in front of x.

Remember that when dividing or multiplying both sides of an inequality by a negative number, we need to reverse the inequality sign.

So, dividing both sides by -0.6 gives

x < 3 / -0.6

Simplifying the right side of the inequality, we have:

x < -5

Therefore, the solution to the inequality -0.6x > 3 is x < -5.

Learn more about inequality ;

brainly.com/question/14164153

#SPJ6

Im bad at money :/ do please help me

Answers

The third answer

1 quarter, 6 dimes, 1 nickel, 7 pennies

If angle f and g are complementary. And f is 4 times bigger than angle g what are their measures

Answers

Answer:

Step-by-step explanation:

3

help its urgent please

Answers

Hi,

Answer is $0.19

Step-by-step explanation:-

We know that:-

15 dimes = $1.50

20 nickels = $1.00

8 quarters = $2.00

half dollar = $0.50

19 pennies = $0.19

Total = $5.19

Since Billy spended $5, so,

$5.19 - $5 = $0.19

Hope it helps you...

HELP WILL MARK AS BRAINLIEST!!!

MAGIC SQUARE HELP PLEASE

Answers

Answer:

Top Middle: 2/10 or 1/5 or 4/20

Bottom right: 2/20 or 1/10

Middle right: 2/10 or 1/5

Middle Middle: 7/40

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