slope from two points

Answer:

y = -3x - 16

Step-by-step explanation:

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

Given: y - 2 = -3(x + 6)

Slope-intercept form: y = mx + b

To write the equation in slope-intercept form, we need to know the slope(m) and the y-intercept(b). By looking at the given equation, we can see that the slope is -3. We are also given the value of one point: (-6, 2).

To find the y-intercept, input the given values of the slope and the point into the equation format and solve for b:

y = mx + b

2 = -3(-6) + b

2 = 18 + b

Subtract 18 from both sides of the equation to isolate b:

2 - 18 = 18 - 18 + b

-16 = b

The y-intercept is -16.

Now that we know the slope and the y-intercept, we can write the equation:

y = -3x - 16

Answer:

times it

Step-by-step explanation:

Answer:

749, 715, 710

Step-by-step explaination:

Answer:

10

Step-by-step explanation:

Rounding to the nearest 100 miles gives you 800 and rounding to the nearest 10 miles gives you 790.

Answer:

A line segment has two ends, and a line doesn't end.

Step-by-step explanation:

Answer:

1. the best teacher

teach from the heart ❤️

not from the book

2. a good education can change anyone.

a good teacher can change everything.

3.teaching is a work of a Heart

Answer:i say c or b either one.

Answer:

Please see the images attached. #2 is the one with three different background colours & three different lines. #3 is the one with one background colour (other than white) and one line.

Step-by-step explanation:

Graph them onto a graphing calculator. Let me know if you need more help!

Answer:

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x = 3

Step-by-step explanation:

Multiply both sides by 3. I take it mean 1/3 * x and not 1/(3*x) which puts x in the denominator.

6x - 15 = (1/3) x * 3             Cancel on the right.

6x - 15 = x                          Subtract 6x from both sides.

6x - 6x - 15 = x - 6x           Collect light terms

- 15 = - 5x                          Divide by - 5

-15/-5 = -5x/-5

x = 3

Answer: plane A = 333.33mph

Plane B = 500mph

Step-by-step explanation:

Given data:

Distance between the two planes = 2400miles.

Plane A flew North

Plane B flew south

Solution:

Let v represent plane A.

Let 2v represent plane B.

Distance between the two plane

v + 1.5* v = 3*v

7.5v = 2500miles

v = 333.33mph

Plane B has one and half times the speed of plane A

= 1.5 * 333.33

= 500mph

The y-intercept of the graph is -3

The y-intercept is the point where the line intersects the y-axis. This is the value of y when x is equals to zero.

Using slope intercept formula,

y = mx + b

where

Now, let's trace the value of y when x = 0 in the graph.

Therefore,

when x = 0, y = -3

Hence, the y-intercept of the graph is -3

learn more on y-intercept here: https://brainly.com/question/20759265

#SPJ1

Answer:

A. 15-year mortgage =$141,478.20

30-year mortgage =$187,707.60

B. $46,229.40

Step-by-step explanation:

A. Calculation to Determine the amount they would save on the cost of the house if they selected the 15-year mortgage rather than the​ 30-year mortgage.

Calculation for 15-year mortgage

Cost amount to save for 15-year mortgage=$785.99*15-year*12 months

Cost amount to save for 15-year mortgage =$141,478.20

Calculation for 30-year mortgage

Cost amount to save for 30-year mortgage =$521.41*30-year*12 months

Cost amount to save for 30-year mortgage =$187,707.60

B. Calculation for How much would they save if they selected the​ 15-year mortgage

Using this formula

Amount to save=30-year mortgage -15-year mortgage

Let plug in the formula

Amount to save=$187,707.60-$141,478.20

Amount to save=$46,229.40

Therefore How much would they save if they selected the​ 15-year mortgage will be $46,229.40

Answer:

42

Step-by-step explanation:

[tex]41^{2}[/tex] + [tex]9^{2}[/tex] = [tex]c^{2}[/tex]

So, what's 41 to the power 2?

Thus;

1,681

Do the same for the other one.

9 to the power of 2

Thus;

81

Add all these up all your final answer to get a total of 1,762.

1681+81=1762

Thus;

[tex]c^{2} = 1762[/tex]

Then square root your final answer

[tex]\sqrt[]{1762}[/tex]=[tex]c^{2}[/tex]

Thus;

42= [tex]c^{2}[/tex]

Answer: the area is 224

Step-by-step explanation:

Answer:

y=5/4-10

Step-by-step explanation:

Answer:

126

Step-by-step explanation:

42% of 100 in 42

100x3=300 soooo

42x3=126

Step-by-step explanation:

1. (4m² - 1.5m + 2) + (9m - 2m³ + 2m)

= 4m² - 1.5m + 2 + 9m - 2m³ + 2m

= 4m² + (-1.5m + 9m + 2m) + 2 + 2m³

= 4m² + 9.5m + 2 + 2m³

= 2m³ + 4m² + 9.5m + 2

2. (-3y + 2y² - 6) + (3y + 4y² + x)

= -3y + 2y² - 6 + 3y + 4y² + x

= (-3y + 3y) + (2y² + 4y²) - 6 + x

= 0y + 6y² - 6 + x

= 6y² - 6 + x

Answer:

37 beads

Step-by-step explanation:

Given that:

Adel : Claire = 7 : 4

Let Adel be = A;  &

Let Claire be = C

A: C = 7 : 4

[tex]\dfrac{A}{C} =\dfrac{7}{4}[/tex]

7C = 4A

[tex]C = \dfrac{4A}{7}[/tex] --- (1)

When Adel gave 68 beads to claire, we have:

C + 68 = 25:41

[tex]\dfrac{A}{C+68}= \dfrac{25}{41}[/tex]

25(C + 68) = 41A

C + 68 = [tex]\dfrac{41}{25}A[/tex]

[tex]C = \dfrac{41}{25}A - 68[/tex] --- (2)

Equating (1) and (2) together;

[tex]\dfrac{4 * A}{7} = \dfrac{41 *A}{25} - 68[/tex]

[tex]\dfrac{4 * A}{7}-\dfrac{41 *A}{25} = - 68[/tex]

[tex]\dfrac{100A - 287 A}{175} =- 68[/tex]

[tex]\dfrac{-187A}{175} = -68[/tex]

- 187 A = 175 × (-68)

-187 A = - 11900

A = - 11900/ -187

A ≅ 64

From; [tex]C = \dfrac{4A}{7}[/tex]

[tex]C = \dfrac{4*64}{7}[/tex]

C = 36.57

C ≅ 37 beads

The question is incomplete, the complete question is shown in the image attached.

Answer:

Material 1

Step-by-step explanation:

Given the table shown in the complete question, we can see that the weights in material 1 does not have a proportional relationship with length.

If something has a proportional relationship, then it increases or decreases by a constant value called the constant of proportionality. This is not the case in material 1 as seen from the table.

Answer:

material 1

Step-by-step explanation:

Answer:

$66.55

or $66.60

Step-by-step explanation:

Answer:

426+315=741

Step-by-step explanation:

Answer:

426+315 = 741

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

At the vertex, the quadratic term in this notation must be zero, i.e., the (x-1)  part. This happens for x=1. So you can already rule out answers C and D.

Now fill in x=-2 in both remaining answers and see what happens.

For A: y = -2(-2 - 1)² + 3 = -15

For B: y = (-2 - 1)² + 3 = 12

That eliminates B and leaves A.

Answer:  17/18

In words, this is seventeen eighteenths

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

Work Shown:

4/9 + 9/18

8/18 + 9/18 ... see note below

(8+9)/18

17/18

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

note: To go from 4/9 to 8/18, we multiply top and bottom by 2. So that's why 4/9 = 8/18.

The diagram below shows a visual representation of why 4/9 = 8/18.

In the top row, I've drawn out 9 rectangles of the same size. Then I've shaded 4 of the 9 rectangles to represent the fraction 4/9. In the bottom row, I've cut each of those 9 rectangles into two smaller equal pieces, so we have 9*2 = 18 rectangles now. Note how the shaded regions are the same size, so this shows 4 green regions doubles to 2*4 = 8 yellow regions; therefore 4/9 is the same as 8/18.

Answer: its 17/18

Step-by-step explanation:

hope it help's ヾ(•ω•`)o

Answer:

The answer is A

Step-by-step explanation:

B was the closest but it's A

Answer:

Displacement = 0 mi

Distance = 164,996.45 mi

Step-by-step explanation:

In this case, the displacement will be zero because the satellite goes back to its starting point after one day. If there is no distance traveled between the starting point and the ending point, then the Displacement will be zero.

When it comes to the distance, we will need to calculate the perimeter of the circle the satellite describes when making one whole turn around the earth.

The perimeter of a circle is given by the equation:

[tex]p=2\pi r[/tex]

so we need to start by finding what the radius of the circle is. This radius if found by adding the radius of the earth and the distance above the equation the satellite is located at, so we get that:

[tex]r=r_{earth}+h[/tex]

where h is the height of the satellite, so the radius of the circle is:

[tex]r=22,300mi + 3,960 mi[/tex]

so

r=26,260 mi

so now we can use the perimeter equation to get:

[tex]p=2\pi r[/tex]

[tex]p=2\pi (26,260)[/tex]

So the distance traveled by the satellite in one day will be:

P=164,996.45 mi.

Answer:

12$ an hour.

Step-by-step explanation:

Simply set it up as fraction in a way set it as  30/2.5 and divide both values by 2.5 which you get 12 from 30 and 1 from 2.5 there's your unit rate. 12/1 or 12$ an hour.

Answer:

8.28

Step-by-step explanation:

since you have 5, you would round up 1 so 8.

You’re welcome :)

Answer:

y=2x-1

Step-by-step explanation:

Gradient : (7-3) / (4-2) = 2

y=2x+c

substitute one of the points

3=2*2+c

c=-1

y=2x-1

Answer:

Volume = 315 cm³

Step-by-step explanation:

Volume = Length × Width × Height

→ Substitute in the values

Volume = 6 cm × 3.5 cm × 15 cm

→ Simplify

Volume = 315 cm³