3.7.5 Practice: Modeling: Pumpkin Launch

Answer:

17 degrees

Step-by-step explanation:

x would be roughly 15

so sorry if incorrect

To find the slope of a line, remember:

[tex]slope=\frac{rise}{run}[/tex].

Also, the points that you choose to use to calculate your rise and your run must meet at an exact point, not in the middle of a block. In your graphs the points are the little blue dots, so that's already been done for you and that's what we'll use to calculate the slope!

Also, recall that the rise is how many blocks the line has changed vertically (so is one point lower/higher than another point)

The run is how many blocks the line has changed horizontally (so how many blocks over is the next point)

Therefore, for #1 we can see that the point on the right is over 3 blocks (run), and it goes down 1 block (rise).

So for #1, your answer is:  [tex]slope=\frac{rise}{run}=\frac{-1}{3}[/tex] or [tex]-\frac{1}{3}[/tex]

For #2 we see that one point is higher by 3 blocks (rise) and it also goes over one block (run)

So, your answer to #2 is:  [tex]slope=\frac{rise}{run}=\frac{3}{1}=3[/tex]

Hope this helps! :)

Step 1: Find the Slope

Slope Formula: (y2 - y1) / (x2 - x1)

Point 1 = (4, -3)

Point 2 = (2, 1)

Slope = (1 - - 3) / (2 - 4) = (4) / (-2) = -2

Step 2: Find the Y-Intercept

Plug in the slope and one of the points into slope-intercept form and solve for b.

Slope-Intercept Form: y = mx + b

1 = -2(2) + b

1 = -4 + b

b = 5

Step 3: Put it all together

Plug in the slope and y-intercept into slope-intercept form.

Slope-Intercept Form: y = mx + b

y = -2x + 5

Hope this helps!! :)

Answer:

-7q and 9q, 2 and 6

Step-by-step explanation:

they are like each other

Answer: Terms that have identical variable parts (same variable(s) and same exponent(s)). So in this case the like terms are -7q and 9q AND 2 and 6 are like terms *REMEMBER: constant (which are numbers with NO variables can also be like terms)

but to solve this:

first group the like terms so:

(-7q+9q) that gives us 2q

(2+6) that gives us 8

*In your FINAL answer ALWAYS put the number(s) with variables first so the final answer is 2q+8

Answer:

Step-by-step explanation:

A+K+L=159

A-K=11

2K=L

Plug in 2K instead of L in the equation: A+K+L=159

A+3K=159

Plug in K+11 instead of A in the equation: A+3K=159

4K+11=159

4K=148

Kevin=$37

Pluge in 37 instead of K in the equation: A-K=11

A-37=11

Austin=$48

Plug in 48 instead of A and 37 instead of K in the equation: A+K+L=159

48+37+L=159

L=74

The correct reason for each step in the solution of the equation would be as follows:

12 − 5x + 6x = 4 - Given

12 + x = 4 - Combine Like Terms

x= −8 - Subtraction Property of Equality

Hope this answers the question. Have a nice day.

Answer:   (P.s its very hard to write special characters here, i hope this helped though)

((−6d0)(g−3))(h2)

d−5m3g−2h5

=

−6d5g2h2

g3h5m3

=

−6d5

gh3m3

Correct answer: [tex]b = \frac{2A}{h}[/tex], first option.

[tex]A=\frac{bh}{2}[/tex]

[tex]2*A=\frac{bh}{2}*2[/tex]  | multiply both sides by 2, 2's cancel out on the right.

[tex]2A=bh[/tex]

[tex]\frac{2A}{h} =\frac{bh}{h}[/tex]  | divide h on both sides, h's cancel out on the right

[tex]b = \frac{2A}{h}[/tex]

The length of line JL which has endpoints J(8,10) and L(20,5) is; JL = 13.

According to the question, we are required to determine the length of line JL.

However, the coordinates of the end points of line JL are given as;

The length of line JL is given by Pythagoras theorem as;

JL = 13.

Therefore, the length of line JL which has endpoints J(8,10) and L(20,5) is; JL = 13.

Read more:

https://brainly.com/question/13502098

Answer:

what's the question to this given data?

Answer:

15, 16, 17

Step-by-step explanation:

let the consecutive numbers be n , n + 1 , n+ 2 , then

n + n + 2 = 32 ( sum of first and third )

2n + 2 = 32 ( subtract 2 from both sides )

2n = 30 ( divide both sides by 2 )

n = 15

n + 1 = 15 + 1 = 16

n + 2 = 15 + 2 = 17

The 3 numbers are 15, 16, 17

Step-by-step explanation:

let the 1st and 2nd consecutive number be

x , x + 1 , x + 2

their sum = 32

so, x + x + 2 = 32

→ 2x + 2 = 32

→ 2x = 32 - 2 = 30

→ x = 30/2 = 15

so,

1st and 3rd consecutive number is

x = 15

x + 2 = 15 + 2 = 17

as they are consecutive number so 2nd number is 16

and a/q sum of 1st and 3rd number is 32

15 + 17 = 32

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

5 : 6

Step-by-step explanation:

The ratio of apples to oranges is 5 : 2 = 5x : 2x ( x is a multiplier )

There are 18 more apples than oranges , that is

5x = 2x + 18 ( subtract 2x from both sides )

3x = 18 ( divide both sides by 3 )

x = 6

There are 5 × 6 = 30 apples and 2 × 6 = 12 oranges

The number of oranges is increased by 24, to 12 + 24 = 36 , then

30 apples : 36 oranges ( divide both parts by 6 )

= 5 : 6

Answer:

Mass of the object (m)= 10kg

Acceleration of the object (a)= 2m/s^2

Force acting on the object (F)= ?

Solution

F = m × a

F = 10 × 2

F= 20N

The force acting on the object is 20N.

Step-by-step explanation:

8N of force is needed to push a 10kg ball to an acceleration of 0.8 m/s²

Force is an influence that can change the motion of an object.

Given,

Mass of the object (m)= 10kg

Acceleration of the object (a)= 0.8m/s²

We need to find Force acting on the object (F)= ?

Force=Mass ×Acceleration

F = m × a

Plug in the values of mass and acceleration

F =10 × 0.8

F= 8N

Hence, The force acting on the object is 8N.

To learn more on Force click:

https://brainly.com/question/13191643

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Using the theory of Number line in location linear distances, the final position of the ball is 31 yards while the relative position is 6 yards to the right of its initial position.

Final position of the ball = Initial position + distance moved

Final position = (25 yards + 6 yards) = 31 yards

Final position of the ball relative to its starting position :

Therefore, the final position of the ball is 31 yards and it is 6 yards to the right of its starting position.

Learn more : https://brainly.com/question/1889174

Answer:

f = t/m

Step-by-step explanation:

Answer:

3.1567 * 10^-4 miles

Step-by-step explanation:

1 ft = 1.894 * 10^-4 miles , so

1 inch = 1.894 * 10^-4 / 12  miles

= 0.15783 * 10^-4

= 1.5783* 10^-5 miles  ( in scientific form).

Multiplying this by 20 we get

31.567 * 10^-5

= 3.1567 * 10^-4 miles.

Answer:

The graph of y = a·f(x) will compress (or shrink) vertically when |a| < 1.

Step-by-step explanation:

A compression is a transformation that decreases the distance between corresponding points of a graph and a line.

A vertical compression (or shrink) by a factor of a , such that y = a·f(x), where 0 < a < 1. This means that when a is between 0 and 1, the parent graph tends to widen.

In the given problem where y = 0.1x², the a = 0.1, which made the graph wider. This represents the vertical shrink (toward the x-axis) by a factor of 0.1.

Answer:

Step-by-step explanation:

For number 8, to start,:

[tex]\frac{x}{4}[/tex] - 1 = 1

the first step is to add 1 to both sides of the equation; then, simplify.

[tex]\frac{x}{4}[/tex] - 1 = 1

   +1    +1

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

next, the -1 and +1 will cancel.

[tex]\frac{x}{4}[/tex] = 2

the last step is to multiply both sides of the equation by 4.

4 · [tex]\frac{x}{4}[/tex] = 2 · 4

simplify; the 4s cancel out on the left side.

x = 8

**************************************************

For number 9, :

9 = 6 + [tex]\frac{x}{7}[/tex]

like in number 8, the first step is to subtract 6 from both sides of the equation; also, a helpful tip you can use is move the 9 to the right side; speaking personally, it often helps make things visually easier to work out. you would then rewrite the equation like: 6 + [tex]\frac{x}{7}[/tex] = 9

6 + [tex]\frac{x}{7}[/tex] = 9

now, we'd subtract 6 from both sides.

6 + [tex]\frac{x}{7}[/tex] = 9

-6         -6

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

next, the 6 and -6 will cancel.

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

the last step is to multiply both sides of the equation by 7.

7 · [tex]\frac{x}{7}[/tex] = 3 · 7

simplify; the 7s cancel out on the left side.

x = 21

HERE IS THE ANSWER (see the picture)

Answer:

5g-8

Step-by-step explanation:

i don't know

have a great day

Answer:

Step-by-step explanation:

Base on the question where as asking to state the translation vectors could have been used for the pair of figures, base on my research, I would say  that the answer would be arrow pointing to the right.

Answer:

- 1/3

Step-by-step explanation:

Answer:

55-10=45

Step-by-step explanation:

Answer:

The equation of the scenario is

✔ p = 55 – 0.5w

.

The values of p must be

✔ any real number 45 to 55

.

Step-by-step explanation:

edge 2021

Answer:

Step-by-step explanation:

you can go to (math) it usually helps me a lot with stuff and maths x hope u find ur answer(way).

check the things in brackets that how the site its called.

Answer:

A

Step-by-step explanation:

Just did it

Answer:

A

Step-by-step explanation:

I took the test on edge