Write and solve a system of equations made up of Aiden’s and Natalie’s lines of best fit that they can use to find the catapult arm length that they could both use to launch their tennis balls the same distance. What is the solution to the system?

Type the correct answer in the box. Round each number to the nearest tenth.

( , )

Answer:

A

Step-by-step explanation:

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

B: y + 2 = -3(x-4)

C: y + 1 = 6(x-4)

D: y + 1 = -6(x+4)

Point slope formula: y₂ ± y₁ = m( x₂ ± x₁ )

m = 3

y + 2 = 3(x-6)

Answer:

1/2x

Step-by-step explanation:

It's exactly in between the steep slope and the flat line and the steep line's slope is x or 1x.

Answer:

There is only one solution, and that is x=−2 and y=7

Step-by-step explanation:

Answer:

23y -8

Explanation:

perimeter: length measure of all sides

perimeter of this shape:

2y - 9 + 6y +10 +5y - 7 + 10y -2

group terms ↓

2y + 6y + 5y+  10y -9 + 10 -7 -2

add basic numbers ↓

2y + 6y +5y +10y -8

final answer ↓

23y -8

Answer:

D

Step-by-step explanation:

275 increased by 10% = 302.5

10 percent of 275= 27.5

hence, we add 275 plus 27.5 and get 302.5.

5 objects that could represent a point, a line, a plane are:

Hope you could understand.

If you have any query, feel free to ask.

Planes, points and lines are the undefined terms of geometry.

A point is simply a dot, and it can be formed as follows:

A line extends indefinitely on both sides. So, we can represent a line by:

A plane is simply a flat surface. It can be represented by

Hence, the 5 objects that can represent a point, a line and a plane are the objects listed above

Read more about point, line and plane at:​

https://brainly.com/question/13099718

Answer: a) Equation become xy=1 and the second part answer is b) y=1/21

Step-by-step explanation:

Answer:

x = -3.5 or x = 1.7

Step-by-step explanation:

Start by factoring the left side.

We need to find two numbers that have a product of -210 (6 * -35) and a sum of 11...

-10*21=-210

-10+21=11

We can rewrite 11x as -10x+21x...

[tex]6x^2-10x+21x-35=0[/tex]

Then, factor the first and second half of the left side individually:

[tex]2x(3x-5)+7(3x-5)=0[/tex]

Since 2x and 7 are both being multiplied by 3x-5, we can combine them to get:

[tex](3x-5)(2x+7)=0[/tex]

Divide the equation by 3x-5:

2x+7=0

Subtract 7 from both sides

2x=-7

Divide both sides by 2

x=-7/2=-3.5

Now, we also have to consider another answer, in which we divide the equation by 2x+7 instead of 3x-5:

3x-5=0

Add 5 to both sides

3x=5

Divide both sides by 3

x=5/3≈1.7

Answer:

Equation is Y=x/2

Step-by-step explanation:

Answer:

56.52 units²

explanation:

Steps:

Using the formula:

→ (1/2)πr²

→ (1/2)(3.14)(6)²

→ 56.52 units²

Solution:

Note that:

Finding the area of the semicircle:

We can conclude that the area of the semicircle is 56.52 units².

Answer:

if we are simplifying, the answer is 6x⁴y²

Answer:

6x⁴y²

Step-by-step explanation:

2x³ × 3xy²

multiply 2x³ by 3xy²

= 6x⁴y²

Answer:

14g

Step-by-step explanation:

Combine like terms

8g–4g+10g = (8-4+10)g = (4+10)g = 14g

Hi!

I can help you with joy!

Solve by Combining Like Terms:

[tex]\bold{8g-4g+10g}[/tex]

[tex]\bold{4g+10g}[/tex]

[tex]\bold{14g}~(\text{Answer})[/tex]

Hope it helps!

Enjoy your day!

Ask me if you have any doubts.

~Misty~

Answer:

The answer is 1716

Step-by-step explanation:

214.50x8=1716

- 2/9

Step-by-step explanation:

(2/3 - 5/6)÷3/4

we'll first sort out the first part by equalizing denominators

(2/3 × 2/2) - 5/6 = 4/6 - 5/6 = -1/6

dividing by fraction is The Same as multiplying by it's inverse

= - 1/6 × 4/3 = - 4/ 18 = -2 × 2 = - 2/9

----------

2 × 9

Answer:

Step-by-step explanation:

455

Answer:

1 / [tex]\sqrt{2}[/tex]

Step-by-step explanation:

In a 45,45,90 triangle, the two legs of the triangle are equal to each other and the hypotonus being x [tex]\sqrt{2}[/tex]. So that make the unknown sides 6 and 6[tex]\sqrt{2}[/tex]. When solving for cos(45) you divide the leg adjacent to the 45 (6) by the hypotonus (6[tex]\sqrt{2}[/tex]) This gives you 6/6[tex]\sqrt{2}[/tex]. You can simplify the 6s to get 1 / [tex]\sqrt{2}[/tex]

Explanation:

This is a 45-45-90 right triangle, aka isosceles right triangle.

The two legs are 6 units each, because the legs of isosceles triangles are the same length.

The hypotenuse is 6*sqrt(2) through the use of the pythagorean theorem.

From here we can say:

[tex]\cos\left(\text{angle}\right) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos\left(45^{\circ}\right) = \frac{6}{6\sqrt{2}}\\\\\cos\left(45^{\circ}\right) = \frac{1}{\sqrt{2}}\\\\[/tex]

It turns out that the '6' has nothing to do with the final answer, since the '6's cancel out. So we could change that 6 to any number we want, and the answer would still be the same.

Side note: Rationalizing the denominator will have [tex]\frac{1}{\sqrt{2}} = \frac{\sqrt{2}}{2}[/tex]

Answer:

170

Step-by-step explanation:

don't know if its right

i calculate it...hope it help a little

The equation that describes the given situation and the number of packs required are; 25x = (17 * 10) and x = 7 packs

We are told that;

Each sticker comes in a pack of 25

Now, she wants to give each of the 17 guests at least 10 stickers.

Let the number of packs she will require be x. Thus, the expression to describe this situation is;

25x = (17 * 10)

x = (17 * 10)/25

x = 6.8 packs

Approximating to a whole number gives us 7 packs of stickers required.

Read more about Algebraic Equations at; https://brainly.com/question/4344214

Answer:

Each time, t, is associated with exactly one car value, y.

Step-by-step explanation:

The concept being tested is functions.

The graph describe is a vertical parabola that opens downwards.

All vertical parabolas are functions because the pass the vertical line test.

In other words, each time, t, is associated with exactly one car value, y.

The correct answer is the second option.

Answer:

40% decrease.

Step-by-step explanation:

Answer:

? X 3= 6

3 X 3= 9

?= 6/3

?= 2

please mark as Brainliest

Answer:

2

Step-by-step explanation:

6 multiply by 3 to give 18

9 multiply by question mark we represent the question mark with x

so 18 divided by 9 gives 2

Answer:

0.33

Step-by-step explanation:

i found this answer from knowing common sense. 33 hundredths is 0.33. thus making 33 pennies; 0.33

Answer:

Last one: 3x²

Step-by-step explanation:

Quadratics are functions with the power of 2 as the highest.

Option 1 is a Reciprocal function

Option 2 is a linear function

Option 3 is a exponential function

Option 4 is a quadratic function

[tex] \hookrightarrow \sf \dfrac{252}{2} \\ \\ [/tex]

[tex] \hookrightarrow \sf126[/tex]

Answer:

24

Step-by-step explanation:

7m - 4

7(4) - 4

28 - 4

24

Therefore, the value of the expression 7m-4 when m=4 is 24

Answer:

[tex]y=-5.6[/tex]

Step-by-step explanation:

[tex]2.5\left(y + \dfrac{2}{5} \right) =-13\\\\\textsf{divide both sides by 2.5} : y+ \dfrac{2}{5}=-5.2\\\\\textsf{subtract} \ \dfrac{2}{5} \ \textsf{from both sides} : y=-5.6[/tex]

Answer:

H = 58, I = 71, J = 51

Step-by-step explanation:

Set all angles equal to 180

3x - 2 + 4x - 9 + 3x - 9 = 180

Then combine like terms

10x - 20 = 180

      + 20  + 20

10x = 200

/10     /10

x = 20

Then plug in for each angle

3 (20) - 2 = 58

4 (20) - 9 = 71

3 (20) - 9 = 51

Answer:

4/15 of the children are infants

Step-by-step explanation:

Hope it helps!

Answer:

[tex]x^{2}[/tex]+8x+7

Step-by-step explanation:

you wanted it simplified or ..?