Using the pythagorean theorem find the length of a leg of a right triangle if the other leg is 8feet long and the hypotenuse is 10 feet long

[tex]|\Omega|=1+2+3+3=9\\|A|=3\\\\P(A)=\dfrac{3}{9}=\dfrac{1}{3}\approx33\%[/tex]

The probability of drawing a red marble out of the bag without looking is 1/3

Probability is the likelihood or chance that an event will occur

Probability = expected outcome/total outcome

If a bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, the total outcome will be;

Total outcome = 1 + 2 + 3 + 3 = 9 marbles

If  a red marble out of the bag without looking, the expected outcome is 3

Pr(drawing a red marble) = 3/9 = 1/3

Hence the probability of drawing a red marble out of the bag without looking is 1/3

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[tex]4y-8-2y+5=0\\\\(4y-2y)+(-8+5)+0\\\\2y-3=0\qquad|\text{add 3 to both sides}\\\\2y=3\qquad|\text{divide both sides by 2}\\\\y=\dfrac{3}{2}\\\\\boxed{y=1\dfrac{1}{2}}\to\boxed{c.}[/tex]

4y - 8 - 2y + 5 = 0

2y - 3 = 0

2y = 3

y = 3/2

Answer:

x= 1  and y = -1

Step-by-step explanation:

3x + y = 2

y+ 4 = 3x

For the following system, use the second equation to make a substitution for y in the first equation.

LEts start with second equaiton y+4 = 3x

Solve for y, subtract 4 from both sides

y = 3x- 4

Now substitute y = 3x -4 in first equation

3x + y = 2

3x + 3x -4 = 2

combine like terms

6x -4 = 2

Add 4 from both sides

6x = 6 (divide by 6)

x= 1

To solve for y we plug in x=1 in y= 3x-4 equation

y=3(1)-4= -1

so x= 1  and y = -1

9/16 divided by 39/8

KCF

9/16 x 8/39

Simplify

9/2 x 1/39 = 9/78 or 3/26

Here in the given equation, 3x + 8 the term 8 represents the weight of the empty bucket.

Its given that the number of marbles is x, and the weight of each marble is same which is 3. So, total weight of marbles is 3x.

Now, if 3x + 8 is the weight of the bucket and marbles, then 8 represents the weight of the empty bucket.

55a and 22b both are terms in that equation

The values of the slope and y-intercept are m=8 and b=−25

m=8

b=−25

To find the slope you would use the slope formula since you have two point coordinates. The slope formula is:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where y2 and y1 are the y coordinates of the two points and x2 and x1 are the x coordinates of the two points.

Substitute in 7 and -1 for y2 and y1; substitute in 4 and 3 for x2 and x1. Now your expression should look like:

[tex]\frac{7-(-1)}{4-3}[/tex]

Subtract -1 from 7, which is basically the same as 7 + 1. Then subtract 3 from 4. Once you complete these steps you can rewrite your fraction.

[tex]\frac{7+1}{4-3} =\frac{8}{1} =8[/tex]

The final answer is 8 after substituting the appropriate coordinates into the slope formula. This means that the slope of the line passing through the points (3, -1) and (4, 7) is 8.

The answer is: the slope of the line is 8.

The correct choice is D!

Hope this helped you out! :)

Answer:

the answer is no

Step-by-step explanation:

8²+12²≠16²

the answer is 12,000

how i get this is because you do 2000 multiplied by 6

Answer:

{x,y} = {12,5}

Step-by-step explanation:

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3x-7y=1;-x+y=-7

Solution :

{x,y} = {12,5}

System of Linear Equations entered :

  [1]    3x - 7y = 1

  [2]    -x + y = -7

Graphic Representation of the Equations :

   -7y + 3x = 1        y - x = -7  

Solve by Substitution :

// Solve equation [2] for the variable  y

 [2]    y = x - 7

// Plug this in for variable  y  in equation [1]

  [1]    3x - 7•(x -7) = 1

  [1]    -4x = -48

// Solve equation [1] for the variable  x

  [1]    4x = 48

  [1]    x = 12

// By now we know this much :

   x = 12

   y = x-7

// Use the  x  value to solve for  y

   y = (12)-7 = 5

Solution :

{x,y} = {12,5}

Answer:

To solve this problem, we need to use the following formula

[tex]d=\sqrt{\frac{3h}{2} }[/tex]

Where [tex]h[/tex] is the eye-level height and [tex]d[/tex] is the horizontal distance to the horizon.

For Pam, we know that [tex]h=256ft[/tex],

[tex]d=\sqrt{\frac{3(256)}{2} }=\sqrt{384} \approx 19.6[/tex]

She can see around 19.6 feet to the horizon.

For Adam, we know that [tex]h=400 ft[/tex]

[tex]d=\sqrt{\frac{3(400)}{2} }=\sqrt{600} \approx 24.5[/tex]

He cansee around 24.5 feet to the horizon.

Now, the difference is

[tex]\Delta d= d_{Adam} -d_{Pam} \\\Delta d= 24.5 - 19.6 = 4.9[/tex]

Therefore, Adam can see 4.9 feet much farther than Pam.

Additionally, the expression that models this situation is [tex]\Delta d= d_{Adam} -d_{Pam}[/tex]

Answer: The answer is A. s

The center of the circle shown below will be S.Option A is corect.

It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.

[tex]\rm r = \sqrt{{{(x_2-x_1)^2 + (y_2-y_1)^2}}[/tex]

The equation of a circle with center (h,k) with radius r is;

[tex]\rm (x-h)^2 + (y-k)^2 = r^2[/tex]

The center of the circle is equidistant from all the points on its locus forming circumferrence.

The center of the circle shown below will be S.

Hence, option A is corect.

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Answer:

Given : A parallelogram ABC D in which BD is the Diagonal.

 ∠ABD =1, ∠ CDB =2, ∠CBD =3, ∠ ADB =4

To prove: Opposite sides of parallelogram are congruent.

Proof : AB is parallel to DC and AD is parallel to BC Definition of parallelogram

2 angle 1 = angle 2, angle 3 = angle 4 If two parallel lines are cut by a transversal then the alternate interior angles are congruent

3 BD = BD Reflexive Property

4 triangles ADB and CBD are congruent [If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle, then the triangles are congruent by[ ASA]

5 AB = DC,  

AD = BC Corresponding parts of congruent triangles are congruent

Out of four options given

2. ASA postulate is the correct answer

A- angle, S-side,A-angle

Answer:

ASA postulate is the answer

Hello there!

[tex]1-f=\frac{9}{10}[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓↓

First you had to subtract by 1 from both sides of the equation.

[tex]1-f-1=\frac{9}{10}-1[/tex]

Simplify

[tex]-f=-\frac{1}{10}[/tex]

Then you divide by -1 from both sides of the equation.

[tex]\frac{-f}{-1}=-\frac{1}{10}/-1[/tex]

Simplify it should the correct answer.

[tex]f=\frac{1}{10}[/tex]

Answer⇒⇒⇒f=1/10

Hope this helps!

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-Charlie

Final answer:

Joseph's new balance, after borrowing more money which equals 5 times his initial debt of $15, is -$75.

Explanation:

Joseph initially owes his older brother $15, which can be represented as a balance of -$15. If Joseph's new balance is 5 times the previous amount, we would perform the following calculation:

Previous balance x 5 = New balance

So we would multiply -$15 by 5:

-$15 x 5 = -$75

Therefore, Joseph's new balance with his brother is -$75.

Given my current rate = $129.00 per month.

Savings of 15% over your prices.

Therefore, saving = 15% of $129.00 = 0.15 × 129.00 =$19.35.

Adjusted rate = current rate - saving = 129 - 19.35 = $109.65

Therefore, We can rewrite above expression as :

My current rate is $129.00 per month." Representative: "We will match any competitive offer. Your adjusted rate will be 109.65 dollars per month."

If my current rate is $129.00 per month. Your adjusted rate will be $109.65 dollars per month.

Using this formula

Adjusted rate = Current rate - Adjustment

Where:

Current rate=$129

Adjustment=(15%×$129)

Let plug in the formula

Adjusted rate=$129-(15%×$129)

Adjusted rate = $129 - $19.35

Adjusted rate =$109.65 per month

Inconclusion your adjusted rate will be $109.65 dollars per month.

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Solution is given in attachment.

So 8^2 is need to add both sides for completing square.

How to get answer:

[tex]\mathrm{Group\:like\:terms}\\4x+8=2x+2x+7-20\\\mathrm{Add\:similar\:elements:}\:2x+2x=4x\\4x+8=4x+7-20\\\mathrm{Add/Subtract\:the\:numbers:}\:7-20=-13\\4x+8=4x-13\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\4x+8-8=4x-13-8\\\mathrm{Simplify}\\4x=4x-21\\\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}\\4x-4x=4x-21-4x\\Simplify\\0=-21\\The\:sides\:are\:not\:equal\\[/tex]

Steps:

4x + 8 = 2x + 7 + 2x - 20

Group like terms:

4x + 8 = 2x + 2x + 7 - 20

Add similar elements: 2x + 2x = 4x

4x + 8 =4x + 7 - 20

Add/Subtract the numbers: 7 - 20 = -13

4x + 8 = 4x - 13

Subtract 8 from both sides

4x + 8 - 8 = 4x - 13 - 8

Simplify:

4x = 4x - 21

Subtract 4x from both sides:

4x - 4x = 4x - 21 - 4x

Simplify

0 = -21

Hope this helps! :) and Happy Halloween! ~Zane

Parabola A: directrix is at x = -1 and focus is at (2,2) so the vertex is the midpoint between those.  Vertex = (0.5, 2)

Parabola B: directrix is at x = 5 and focus is at (2,2) so the vertex is the midpoint between those.  Vertex = (3.5, 2)

Distance between Vertex A and Vertex B is the distance between (0.5, 2) and (3.5, 2) = 3

Answer: B

Answer:

90.5

Step-by-step explanation:

 0 9 0. 5 0 0

1 1 9 9 5. 5 0 0

 − 0          

   9 9        

 − 9 9        

     0 5      

   −   0      

       5 5    

     − 5 5    

         0 0  

       −   0  

           0 0

         −   0

             0

<7 = 62° ----alternate exterior angle

Answer is C) < 7

Answer:

x intercepts   (0,0) and (3,0)

y intercept (0,0)

Step-by-step explanation:

To find out x intercepts we look at the points on the graph where it crosses or touches x axis. x axis is the horizontal line. y axis is the vertical line

The graph touches the x axis at x=0  and x=3

Always write the x intercepts as (x,0)

So our x intercepts are (0,0) and (3,0)

To find out y intercepts we look at the points on the graph where it crosses or touches y axis

the graph touches y axis at y=0

So y intercept of the graph is (0,0)

65X60/45=260/3km/hr=86.66km/hr

p^q , p-> q and ~p ^ q . all these three statements will give false when p is true and q is false