A cat leaps from the ground into the air with an initial vertical velocity of 11 ft/s. After how many seconds does the cat land on the ground?

Answer:

x + 2y - 3 = 0

Step-by-step explanation:

Coordinates of the points P and Q are (-3, 0) and (0, 6) respectively.

Slope of PQ = (0- 6)/(-3 - 0) = - 6/-3 = 2

Slope of line perpendicular to PQ = - 1/2

Since, required line passes through point R(7, - 2) and is perpendicular to PQ.

Therefore, equation of line in point slope form is given as:

[tex]y - (-2) = - \frac{1}{2} (x - 7) \\ \\ y + 2 = - \frac{1}{2} (x - 7) \\ \\2(y + 2) = - (x - 7) \\ \\ 2y + 4 = - x + 7 \\ \\ 2y + 4 + x - 7 = 0 \\ \\ x + 2y - 3 = 0[/tex]

Therefore x + 2y - 3 = 0 is the required equation of line.

Answer:

Answer:

x + 2y - 3 = 0

Step-by-step explanation:

Coordinates of the points P and Q are (-3, 0) and (0, 6) respectively.

Slope of PQ = (0- 6)/(-3 - 0) = - 6/-3 = 2

Slope of line perpendicular to PQ = - 1/2

Since, required line passes through point R(7, - 2) and is perpendicular to PQ.

Therefore, equation of line in point slope form is given as:

\begin{gathered}y - (-2) = - \frac{1}{2} (x - 7) \\ \\ y + 2 = - \frac{1}{2} (x - 7) \\ \\2(y + 2) = - (x - 7) \\ \\ 2y + 4 = - x + 7 \\ \\ 2y + 4 + x - 7 = 0 \\ \\ x + 2y - 3 = 0\end{gathered}

y−(−2)=−

2

1

(x−7)

y+2=−

2

1

(x−7)

2(y+2)=−(x−7)

2y+4=−x+7

2y+4+x−7=0

x+2y−3=0

Therefore x + 2y - 3 = 0 is the required equation of line.

hope it helps you

Answer:

The question is not correct. you have two linear functions. do you want to know their intersection point?

Step-by-step explanation:

[tex]f(x)=2x-6\\[/tex]

[tex]2x-6=0[/tex]

[tex]2x=6[/tex]

[tex]\frac{2x}{2} =\frac{6}{2\\}[/tex]

x=3

Then you just plug into g(x)

[tex]g(x)=x-2x[/tex]

[tex]g(x)=3-2(3)\\[/tex]

[tex]g(x)= 3-6[/tex]

So,

f(x)=3

g(x)=-3

Answer:

$3066.58

Step-by-step explanation:

$2893 x 1.06= $3066.58

Hope this helps!

Answer:

7(3 + 3x)  =  21x + 21

2d + 10(4d +4 + 2a)  =  20a + 42d + 40

3t + 2x + x  =  3t + 3x

5(r + 12) - 25  =  5r + 35

18s + 12rs + 10r - 2rs  =  10rs + 10r + 18s

s(12 - 4) + 2  =  8s + 2

w(15 - 3) + 2 + 7w  =  19w + 2

Step-by-step explanation:

Answer:

option a c d are correct

Step-by-step explanation:

    Since, the item was burried at the midpoint of the segment joining bowl and the tool. Archaeologist should dig at the midpoint which is at (2, 7).

        Mid-point = [tex](\frac{a+c}{2},\frac{b+d}{2})[/tex]

Given points representing a bowl and a tool are (1, 4) and (3, 10).

Since, an item is burried at the midpoint of the segment joining bowl and tool,

Use the expression for the position of the mid-point of the segment.

Position of the item → [tex](\frac{1+3}{2},\frac{4+10}{2})[/tex]

                                 → (2, 7)

       Hence, position of the burried item will be at (2, 7).

Learn more to get the center of a segment joining two points here,

https://brainly.com/question/10677252?referrer=searchResults

Answer:

There is a vertical asymptote at x = 4 because lim g(x) = ∝ and lim g(x) = -∝

Answer:

x=5

Step-by-step explanation:

Step 1: you want to have x alone on one side so I will subtract one x from both sides (to remove the 1 x on the right side). Now we're left with 3x=15.

Step 2: Divide both sides by 3 (to remove the 3 in front of 3x). Now we have x=5.

Answer:

i am not smart

Step-by-step explanation:

Answer: 144 minutes

Step-by-step explanation:

Based on the information that has been given in the question, the minutes that the slower pipe alone can use in filling the tank can be denoted by y minutes.

Therefore, the faster pipe will fill it in 1/3 × x = x/3 minutes.

Therefore,

1/x + 3/x = 1/36

4/x = 1/36

x = 36 × 4

x = 144

The number of minutes taken by the slower pipe will be 144 minutes.

Answer:

$35,367

Step-by-step explanation:

Answer:

-7 1/7

Step-by-step explanation:

Hope that helps!

Answer:

x=-6

Step-by-step explanation:

Answer:

Step-by-step explanation:

8-x/3>=11 is the equation, and the answer is:

x<= -9, so any number less than -9 is correct.

The solution is x ≤ -9

What are Inequality Equations?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the number be x

8 - x/3 ≥ 11

Subtracting 8 on both sides , we get

-x/3 ≥ 3

Multiplying by 3 on both sides , we get

-x ≥ 9

Interchanging the sign on both sides , we get

x ≤ -9

Hence , the solution is x ≤ -9

To learn more about inequality equations click :
https://brainly.com/question/84497

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Answer: a a a a. Aa

E s. Ss s

Step-by-step explanation:

s. S s s s. S s s s s

Answer:

Yes it a right triangle!!

Hope it helps you!!

Answer:

No

Step-by-step explanation:

6^2 + 8^2 doesn't equal 12^2

Answer:

x = 3

y = 4

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

Answer:

No

Step-by-step explanation:

If you try to multiply the 2:4 to change it to 5:6 , you can't because 5 is an odd number and 2 is and even

Answer:

4.25

Step-by-step explanation:

The distance Bethany travels is directly proportional to the number of hours she spends working

The formula for direct proportion is :

y = kx

Where k is a constant

in this question, the constant is given by 4.25

Answer:

Step-by-step explanation:

X = distance between eagle and mouse.

sin(15°) = 280/x

X = 280/sin(15°) = 1,081.837 ft

Answer:

68.5

Step-by-step explanation:

each pack 7.5 kg

price for each pack $3

he bought 3

7.5 x 3=22.5

22.5 x3=66.5

Answer:

-50x - 66

Step-by-step explanation:

Answer:

-50x - 66

Step-by-step explanation:

Answer:

B) 10% of 50

Step-by-step explanation:

B) 10% of 50hjxhsujwsdvnidfohiefhiedhefbeefuebfeufbeufrbfrgfeufgeudgegdeudgegdej

correct options arere A,B,D

Answer:

x=-4/5 y= -33/5

Step-by-step explanation:

y=-3x-9

2x+3x+9=5

       5x=-4

x=-4/5

Then plug it in into an equation.....2(-4/5)-y=5

-8/5-y=25/5

-y=33/5

y=-33/5

You can check if you want

Answer:

x = -4/5, y = -6 3/5

Step-by-step explanation:

The way to use substitution to solve is to isolate (Put it on one side without anything else on that side of the equation) a variable. We can use the first equation to isolate y. We can add y on both sides to get that 2x = y + 5 and then subtract by 5 on both sides to get that y = 2x - 5. Next, we can substitute 2x - 5 in for y in the second equation because y = 2x - 5. We would get that 3x + 2x - 5 = -9, so 5x - 5 = -9, and if you add by 5 on both sides, you get 5x = -4. Finally, we can divide by 5 on both sides to get that x = -4/5. If you want to find y, we can find it by substituting x into the equation 2x - 5 = y. 2 * -4/5 - 5 is equal to y, so -8/5 - 5 = y, and lastly, y = -6 3/5

Answer:

12x + 52

Step-by-step explanation:

Distribute.

(4 • 3x + 4 • 12) + 4

12x + 48 + 4

12x + 52

Answer:

-3 sqrt 2 or -4.242640687

Step-by-step explanation: