Find the other endpoint of the line segment with the given endpoint and midpoint.

Answer:

(3, -7) and (1, 2) are solutions to the equation

Step-by-step explanation:

Simply replace the (x, y ) pair of values in the equation and see if the equality holds:

Pair (0, -8) :

9 (0) + 2 (-8) = -16  therefore this pair is NOT a solution of the equation

Pair (3, -7):

9 (3) + 2 (-7) = 27-14 = 13  therefore this pair IS a solution of the equation

Pair (1, 2):

9 (1) + 2 (2) = 9 + 4 = 13  therefore this pair IS a solution of the equation

Pair (4, -5):

9 (4) + 2 (-5) = 36 - 10 - 26  therefore this pair is NOT a solution of the equation

Answer:

Step-by-step explanation:

You'll do height by width. Or base by height.

So let's say 6 cubes by 11 cubes.

A = 66.

Others, please correct me if I'm wrong.

Answer:

Question 4. Option C,

Question 5. Option A

Step-by-step explanation:

Question 4.

Take a look at the procedure below;

[tex]34 / 5 = x / 6,\\34 * 6 = 5 * x,\\204 = 5 * x,\\\\x = 40.80\\\\Conclusion - Option C[/tex]

To solve this problem, you could have to cross - multiply, and through simple algebra, isolate x.

Question 5.

If Becky charges an amount per hour per baby, to determine the total amount she would earn, multiply the number of hours by the number of babies taken care of, and multiply that amount by the cost she demands per hour per baby;

[tex]Children = 3,\\Hours = 5,\\Amount Charged = 7,\\\\Profit = 3 * 5 * 7 = 105 Dollars,\\\\Conclusion - Option A[/tex]

Answer:

I’m pretty sure it the third one

Step-by-step explanation:

Answer:

The combination formula is 8! / (8-5)! * 5!

= 8! / 3! * 5!

= 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1/ 3 * 2 * 1  * 5 * 4 * 3 * 2 * 1 (expand)

= 8 * 7 * 6 / 3 * 2 * 1 (5 * 4 * 3 * 2 * 1 cancels on both sides)

= 8 * 7 = 56 (3 * 2 * 1 = 6)

Answer:

7

Step-by-step explanation:

You can divide both 14 and 21 by seven and get a whole number.

Answer:

7

Step-by-step explanation:

hope this helps

Answer:

I believe its 30 different ways.

Step-by-step explanation:

Each different topping can be added  times. so 5 times 6 is 30.

Answer: The answer is A. (1, 4)

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

# of black marbles/ total # of marbles

3/(3+4+5)

3/12

1/4

Answer:

1/4

Step-by-step explanation:

3 black marbles, 4 white marbles and 5 striped marbles. = 12 marbles

P(black) = number of black / total

             =3/12

               =1/4

Answer: 1,267 meters

Step-by-step explanation:

1,091 + 176 = 1,267

Answer:

1,267 meters

Step-by-step explanation:

Joy started at 1,091 meters above sea level. Then she ascended in her helicopter, which added 176 meters to her elevation. 1,091 + 176 = 1,267 meters. The instructions say to write your answer as an integer, so your answer is 1,267 :)

Answer:

[tex]M.A.D = 1[/tex]

Step-by-step explanation:

Given

9, 7, 6, 8, 7, 5

Required

Mean Absolute Deviation

The first step is to calculate the mean of the given data;

[tex]Mean = \frac{\sum{x}}{n}[/tex]

where x = 9, 7, 6, 8, 7, 5 and n = 6

[tex]Mean = \frac{9+ 7+ 6+ 8+ 7+ 5}{6}[/tex]

[tex]Mean = \frac{42}{6}[/tex]

[tex]Mean = 7[/tex]

Subtract mean (7) from each data

[tex]9 - 7 = 2\\7 - 7 = 0\\6 - 7 = -1\\8 - 7 = 1\\7 - 7 = 0\\5 - 7 = -2[/tex]

Return the absolute values of each

[tex]|2| = 2\\|0| = 0\\|-1| = 1\\|1| = 1\\|0| = 0\\|-2| =2[/tex]

Calculate mean of the above absolute values

[tex]Mean = \frac{\sum{x}}{n}[/tex]

[tex]Mean = \frac{2+0+1+1+0+2}{6}[/tex]

[tex]Mean = \frac{6}{6}[/tex]

[tex]Mean = 1[/tex]

Hence, the mean absolute deviation of the given data is 1

Answer:

D

Step-by-step explanation:

Answer:

10 + 8i

Step-by-step explanation:

noting that i² = - 1

Given

2i(4 - 5i) ← distribute the parenthesis

= 8i - 10i² = 8i - 10(- 1) = 10 + 8i

Answer:

D, 10+8i

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

[tex]z(14x -2y)=7[/tex]

Required;

Solve for x, when

[tex]z(14x -2y)=7[/tex]

Divide both sides by z

[tex]\frac{z(14x -2y)}{z} = \frac{7}{z}[/tex]

[tex]14x -2y = \frac{7}{z}[/tex]

Add 2y to both sides

[tex]14x -2y + 2y= \frac{7}{z} + 2y[/tex]

[tex]14x = \frac{7}{z} + 2y[/tex]

Divide both sides by 14

[tex]\frac{14x}{14} = \frac{1}{14}(\frac{7}{z} + 2y)[/tex]

[tex]x = \frac{1}{14}(\frac{7}{z} + 2y)[/tex]

The above expression is the value of x when [tex]z\neq 0[/tex]

To solve for when z = 0, we simply substitute 0 for z

[tex]x = \frac{1}{14}(\frac{7}{z} + 2y)[/tex]

[tex]x = \frac{1}{14}(\frac{7}{0} + 2y)[/tex]

0 cant't divide any number; hence, from the above expression we conclude that

[tex]x = \ u\ n\ d\ e \ f\ i \ n\ e\ d[/tex]

or

x doesn't have a solution

Answer:

[tex]x=1/2[/tex]

Step-by-step explanation:

[tex]27 = 3^{4x+1}[/tex]

[tex]3^3 = 3^{4x+1}[/tex]

[tex]3=4x+1[/tex]

[tex]2=4x[/tex]

[tex]2/4=x[/tex]

The value of x in the given equation is 1/2

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given is an equation, [tex]27 = 3^{4x+1}[/tex]

Solving for x,

3³ = [tex]3^{4x+1}[/tex]

Therefore,

3 = 4x+1

4x = 2

x = 2/4

x = 1/2

Hence, the value of x in the given equation is 1/2

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Answer:

Step-by-step explanation:

if (x,y) is any point on unit circle then

x²+y²=1²

x²+y²=1

(3/4)²+y²=1

9/16+y²=1

y²=1-9/16=(16-9)/16=7/16

y=±√7/16

If the point P = (3/4, y) lies on the unit circle then y = ± 0.66.

The equation for a circle has the generic form x² + y² + 2gx + 2fy + c = 0.

The standard equation of a circle is x² + y² = r².

The polar form of the equation of the circle is (rcosθ)² + (rsinθ)² = p².

We know if (x ,y) is any point on the unit circle then

x² + y² = 1².

x² + y² = 1.

(3/4)² + y² = 1.

9/16 + y² = 1.

y² = 1 - 9/16.

y² = (16 - 9)/7.

y² = 7/16.

y = ± √7/16.

y = ± 0.66.

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Answer:

0.4032

Step-by-step explanation:

.56% of 72 =0.4032

hope this heps

Answer:

5.9 your welcome

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

(0, 1)

Step-by-step explanation:

In the picture attached, the question is shown.

From the picture:

Ratio m:n, means that m = 1 and n = 2.

Replacing into the formulas:

x-coordinate = m/(m+n) * (x2- x1) + x1 = 1/3 * (-4 - 2) + 2 = 0

y-coordinate = m/(m+n) * (y2- y1) + y1 = 1/3 * (9 - (-3)) + (-3) = 1

Answer:

0,1

Step-by-step explanation:

Answer:

The required number of outcomes is 4 and the last option is correct.

Important information:

From the given tree diagram, it is clear that the total number of outcomes is 6.

The numbers greater than 1 on the spinner are 2 and 3.

The outcomes that result in a number greater than 1 on the spinner are:

heads, 2

heads, 3

tails, 2

tails, 3

Therefore, the required number of outcomes is 4 and the last option is correct.

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Answer:

40 points

Step-by-step explanation:

32 points = 80% or 4/5

if you divide 32 by 4, you get 8+8+8+8=32

that means you need to add 8 to 32 to get the total number of points

Answer:

for the inverse variation equation p = 8/v, the value of v when p= 4 is 2.

Answer:

x=8in

Step-by-step explanation:

Let the unknown side=xin

Hypotenuse^2=opposite^2+adjacent^2

Hyp=17in

Opp=xin

Adj=15in

Hyp^2=opp^2+adj^2

17^2=x^2+15^2

17^2-15^2=x^2

289-225=x^2

64=x^2

x=√64

x=8in

The midpoint is represented as M and the value of x of the line is x = 4

Given data:

The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.

Measure the distance between the two end points, and divide by 2.

Let V ( x₁ , y₁ ) be the first point

Let W ( x₂ , y₂ ) be the second point

The midpoint between A and B is M ( a , b ) where

a = ( x₁ + x₂ )/2

b = ( y₁ + y₂ ) / 2

The points on the lines are represented by ( 4x - 1 ) and ( 3x + 3 )

So, the points are in same distance from V and W

And, 4x - 1 = 3x + 3

x = 4

Hence, the point x = 3

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Answer:

Independent events

Step-by-step explanation:

They are independent events because by "lands on yellow" and "lands on green", we're assuming that we're doing something like spinning a spinner, because then we're not taking anything and not replacing it. When we're replacing something, then that's an independent event, and by spinning a spinner once, for Event A, and again for Event B, then we're already replacing everything.

Answer: Disjointed

Step-by-step explanation:

The reason why the answer is disjointed is that the events had nothing in common.

Answer:

No

Step-by-step explanation:

Because thats the rule of Math

Answer:

A quadrilateral with one pair of parallel sides is a trapezoid. If it has two pairs of parallel sides it is a parallelogram

Step-by-step explanation:

Answer:

Your answer is mean absolute deviation.

Step-by-step explanation:

Answer:

d) √2/2

Step-by-step explanation:

cos∠E= 5/5√2= 1/√2=√2/2

Correct option is d)√2/2

Answer:

The error was in step 3

Step-by-step explanation:

The first two steps are correct, the property of addition of internal angles of a triangle that equal [tex]180^o[/tex] is properly used, Also the addition of supplemental angles to total  [tex]180^o[/tex] is also properly used.

In step 3. there is an error. Notice how it should have been done:

[tex]\angle m+\angle n +\angle o=180^o\\\angle o + \angle p = 180^o\\then:\\\angle m+\angle n +\angle o=180^o=\angle o+\angle p\\\angle m+\angle n +\angle o=\angle o+\angle p[/tex]