1
Select the correct answer from each drop-down menu.
AB Is dilated by a scale factor of 3 to form A' B'. Point O, which lies on AB, is the center of dilation.
The slope of AB is 3. The slope of A' B' is
AB
through point O.

Answer:

C≈40.21cm

Step-by-step explanation:

Answer:

40.192

Step-by-step explanation:

the radius is half of the diameter so the diameter is 12.8 now 12.8 times pi / 3.14

Part 1

You have the following triangle in the coodinate plane:

The previous triangle has the following vertices:

A(0,1), B(1,0), C(-1,-1)

Part 2

If the triangle is translated six units upand three units left, it means that you subtract to each x-coordinate 3 units, and you add 6 unit to each y-coordinate.

Then, the coordinates of the new points of the vertices of the triangle are:

A'(0 - 3 , 1 + 6 ) = A'(-3 , 7)

B'(1 - 3 , 0 + 6) = B'(-2 , 6)

C'(-1 - 3 , -1 + 6) = C'(-4 , 5)

Part 3

If you reflec the orignal triangle acroos the y axis, all y coorindates remain the same, and each x-coordinate becomes its opposite number, that is, it is the same number but ith opposite sign, just as follow:

A'(0 , 1)

B'(-1 , 0)

C'(1 , -1)

Part 4

If the triangle is rotated 90 degrees clockwise, the points are transformed in the following way:

P(x,y) => P'(-y,x)

Then, you have;

A'(-1 , 0)

B'(0 , 1)

C'(1 , -1)

Part 5

If the triangle is dilate by a scale factor of 1/2, the new coordinates are the result of multiplying the original coordinates by the scale factor, just as follow:

A'(1/2x0 , 1/2x1) = A'(0 , 1/2)

B'(1/2x1 , 1/2x0) = B'(1/2 , 0)

C'(1/2x(-1) , 1/2x(-1)) = C'(-1/2 , -1/2)

This problem is about "the rule of three". Notice that the problem is giving us a "ratio", an equivalence between the number of marbles and the dimensions of the rectangular prism. So, the first step would be to find the volume of the rectangular prism.

We know that the volume of a rectangular prism is defined as:

That is, the volume is the product of all three dimensions, which in this case are: 4 inches by 9 inches by 11 inches. So, let's multiplicate

This means 248 marbles fill a 396 cubic inches rectangular prims. That's our initial ratio to apply the rule of three.

Now, we need to find the volume of the new rectangular prims with dimensions 7 inches by 10 inches by 13 inches, that way we'll be able to establish a proportion.

Let's use the rule of three: if 248 marbles fill a 396 cubic inches prism, then how many marbles will fit in a 910 cubic inches prism? (This is the question of our problem) We just need to use a proportion

Therefore, in a 910 cubic inches rectangular prism can fit 569 marbles, approximately. It's important to consider that in this case, we can't approximate the number to 570, because we can't fit incomplete marbles.

Notice that the rule of three was applied with the proportions of the problem, the important thing of doing well is that you need to ensure that the result is according to the problem, that is, the question is about marbles, and we got marbles.

1) Using order of operations, the solution to the given expression is; 12

2) The estimated cost of groceries if the prices are estimated to the nearest dollar is; $42

In mathematics , the acronym for the right order of operations is PEMDAS which denotes;

P- Parentheses

E- Exponents

M- Multiplication

D- Division

A- Addition

S- Subtraction.

3) From the given statement, we are to add 6 to 12, then divide the sum by 4. Thereafter, we divide the quotient by negative nine and then multiply by twenty-four. This is expressed as;

[(6 + 12)/4] = 18/4 = 9/2

Then divide by -9 to get;

(9/2) ÷ 9 = 1/2

Then we multiply by 24 to get;

1/2 * 24 = 12

4) Let us first estimate each cost to the nearest dollar to get;

$6.47 ≈ $6

$14.72 ≈ $15

$7.99 ≈ $8

$9.40 ≈ $9

$2.79 ≈ $3

Total estimated cost = 6 + 15 + 8 + 9 + 3 = $42

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Answer and Step-by-step explanation:

To find x, we must find the interior angles first, then we can find the value of x.

To find the interior angle, we need to use the exterior angle. We subtract the exterior angle from 180 to get the interior angle.

180 - 157 = 23

180 - 78 = 102

Now we need to find the last interior angle.

180 - 23 - 102 = 55

Now to find x.

180 - 55 = 125

x = 125

#teamtrees #PAW (Plant And Water) #ALM (All Lives Matter)

I hope this helps!

Answer:

the value of x is 124

Step-by-step explanation:

A polynomial function f(x) of degree 3 with given zeros, 2, -3 , 5 and condition f(3)=6 is given by f(x) = -1/2 (x-2)(x+3)(x-5).

Degree of the polynomial function is equal to 3.

Zero's of the polynomial function is equal to 2, -3 , 5 .

And f(3) = 6

If 2, -3, and 5 are zeros of f(x), then we can write function as,

f(x) = a(x-2)(x+3)(x-5)

where a is some constant.

To determine the value of a, we can use the fact that f(3) = 6.

Substituting x = 3 into the equation above, we get,

f(3) = a(3-2)(3+3)(3-5)

     = -12a

Here we have,

f(3) = 6, so we can set these two expressions equal to each other and solve for a,

⇒ -12a = 6

⇒ a = -1/2

Now we can substitute this value of a back into the equation for f(x) that we found earlier,

⇒ f(x) = -1/2 (x-2)(x+3)(x-5)

Therefore, a polynomial function f(x) of degree 3 with zeros 2, -3, 5, and f(3) = 6 is equal to f(x) = -1/2 (x-2)(x+3)(x-5).

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Answer:

x = sqrt(13) - 4 or x = -4 - sqrt(13)

Step-by-step explanation:

Solve for x:

x^2 + 8 x + 3 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 3 from both sides:

x^2 + 8 x = -3

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 16 to both sides:

x^2 + 8 x + 16 = 13

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x + 4)^2 = 13

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x + 4 = sqrt(13) or x + 4 = -sqrt(13)

Hint: | Look at the first equation: Solve for x.

Subtract 4 from both sides:

x = sqrt(13) - 4 or x + 4 = -sqrt(13)

Hint: | Look at the second equation: Solve for x.

Subtract 4 from both sides:

Answer: x = sqrt(13) - 4 or x = -4 - sqrt(13)

Step-by-step explanation:

Perimeter of the quadrilateral = sum of the length of all the four sides. Note: Missing side of the quadrilateral = Perimeter of the quadrilateral - Sum of the length of three sides.

Answer:

slope is 3/2

Step-by-step explanation:

m = y2 - y1 / x2 - x1

m = -1 - 2 / 2 - 4

m = -3/-2 ( can be simplified )

simplified ver. = 3/2

Answer:

Slope is 3/2

Step-by-step explanation:

To find slope, subtract the y's, put that on top of a fraction. Then subtract the x's and put that on the bottom of the fraction.

(4,2) and (2,-1)

Subtract y's:

2 - -1

=3

Put it on top of a fraction:

3/something

Subtract the x's:

4 - 2

= 2, put that on the bottom of the fraction.

3/2

Slope is 3/2.

Answers:

x = 7

angle NML = 24 degrees

=========================================================

Work Shown:

OML is the largest angle

OMN and NML are the two pieces that make up that largest angle.

They add like so

OMN + NML = OML

(9x) + (3x+3) = 10x+17

12x+3 = 10x+17

12x-10x = 17-3

2x = 14

x = 14/2

x = 7

You have the correct x value.

Now use this to find each angle

angle OMN = 9x = 9*7 = 63

angle NML = 3x+3 = 3*7+3 = 24

angle OML = 10x+17 = 10*7+17 = 87

As a check,

OMN+NML = 63+24 = 87

which matches with the measure of angle OML.

This confirms OMN+NML = OML to be true and it confirms our answers.

I just need points lol

sorry

Answer:

The speed of Todd's snowmobile was 22 miles an hour

Step-by-step explanation:

:))

The speed of Todd's automobile is 31 miles per hour.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

Given that It took Todd 11 hours to travel over pack ice from one town in the Arctic to another town 330 miles away. During the return journey, it took him 15 hours.

For the first journey,

v₁ + v₂ = 330 / 11    ......................( 1 )

For the return journey,

v₂ - v₁ = 330 / 15 .........................( 2 )

From equation ( 1 ) and equation ( 2 ),

2v₂ = ( 330 / 11 ) + ( 330 / 15 )

2v₂ = ( 330 ) ( 31 / 165 )

v₂ = 165 ( 31 / 165 )

v₂ = 31 miles per hour

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Answer:

A=40.8 B=8

Step-by-step explanation:

A Explanation

£7.20*3=£21.6

£9.60*2=£19.2

19.2+21.6=40.8

B Explanation

£9.60*3=£28.8

86.40-28.8=57.6

57.6/7.20=8

Answer:

x = -4/3

Step-by-step explanation:

6x + 11 = -6x - 5

12x = -16

x = -4/3

Answer:

x = -4/3

Step-by-step explanation:

6x + 11= - (6x + 5)

Distribute the minus sign

6x+11 = -6x-5

Add 6x to each side

6x+11 +6x = -6x-5+6x

12x+11 = -5

Subtract 11 from each side

12x+11-11 = -5-11

12x = -16

Divide by 12

12x/12 = -16/12

x = -4/3

Answer: 92/3 OR 30 2/3 ??

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The slope is 3 because when two lines are parallel, they have the same slope.

Answer:

Two lines that are parallel have the same slope. So in this case, the slope to the function parallel to f(x)= 3x+2 is equal to 3

11, - 6, -1, 4, 9, 14, 19, ... are mapped onto 4. ... A;-l = (-ltQn (mod N),. (A5.34) ... 131 2, 14, 34, 38, 42, 78, 90, 178, 778, 974(1000).

Step-by-step explanation:

the nearest .1/2 incp, we say the 'unit 131/2 incl. 1.4 a measUrement is-stated tp- be 546 inch, this UM= the

Answer:

C = 10.05

Step-by-step explanation:

Formula: C = 2\(\pi\)r

circumference = ?

Solution:

C = 2\(\pi\)(1.6 m) (multiply)

C = 3.2\(\pi\)m

C = 3.2(3.14) m (multiply)

C = 10.048

Rounded off (If needed): 10.05

Answer:

The minimum sample size is \(n = 2295 \)    

Step-by-step explanation:

From the question we are told that

    The margin of error is  \(E = 0.09\)

    The sample mean is  \(\= x = 6.6\)

     The variance is  \(\sigma^2 = 4.84\)

Generally the standard deviation is mathematically represented as

      \(\sigma = \sqrt{\sigma^2}\)

=> \(\sigma = \sqrt{4.84 }\)

=> \(\sigma = 2.2\)

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.05\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.96\)

Generally the sample size is mathematically represented as  

   \(n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2\)

=>   \(n = [\frac{1.96  *  2.2 }{0.09} ] ^2\)

=>   \(n = 2295 \)    

Answer:

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

Collinear points are the points on the same line.

There are two lines in the diagram.

The collinear points:

The points that are collinear are  D,G and E  and another set of points which are collinear are L,G and J.

The points which lie on the same straight line are known as collinear points.

Similarly, if three or more number of points are collinear then they form a straight line.

If we observe the figure, the points D,G and E are collinear points as they are on same line.

Similarly the points L, G and H are in the straight line which makes them collinear.

Therefore , the points L,G and J are collinear points.

Hence, the points that are collinear are  D,G and E and another set of points which are collinear are L,G and J

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Answer:

The probability that you are able to guess ten or more correct answers is P(x≥10) = 0.0026

Step-by-step explanation:

The question is incomplete:

You take a multiple choice test that you are not prepared for, so you have to guess on all twenty questions. The probability that you guess correctly on any given question is 20% (since there are five choices on each question). What is the probability that you are able to guess ten or more correct answers?

This can be modeled by a binomial random variable, with sample size n=20 and probabillity of success p=0.2.

The probability of guessing k answers right can be calculated as:

\(P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{20}{k}\cdot0.2^k\cdot0.8^{20-k}\)

We have to calculate the probabiltiy that 10 or more answers are correctly answered guessing: P(x≥10)

\(P(x\geq10)=\sum_{k=10}^{20}P(x=k)\)

\(P(x=10)=\dbinom{20}{10}\cdot0.2^{10}\cdot0.8^{10}=184756\cdot0.0000001\cdot0.1074=0.0020\\\\\\P(x=11)=\dbinom{20}{11}\cdot0.2^{11}\cdot0.8^{9}=167960\cdot0.00000002\cdot0.1342=0.0005\\\\\\P(x=12)=\dbinom{20}{12}\cdot0.2^{12}\cdot0.8^{8}=125970\cdot0\cdot0.1678=0.0001\\\\\\P(x=13)=\dbinom{20}{13}\cdot0.2^{13}\cdot0.8^{7}=77520\cdot0.000000001\cdot0.2097=0.0000\\\\\\P(x\geq14)=0.0000\)

\(P(x\geq10)=0.0020+0.0005+0.0001=0.0026\)

The value of the expression z² + 6(x - z)² is 252.

Given information:

z² + 6(x - z)².

And x = 12 and z = 6.

To find the value of the expression, substitute x = 12 and z = 6 into the expression:

z² + 6(x - z)² = 6² + 6(12 - 6)²

= 36 + 6(6)²

= 36 + 216

= 252

Therefore, when x = 12 and z = 6, the value of the expression z² + 6(x - z)² is 252.

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The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).

To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.

Apply the product rule:

Let u(x) = -5cos(x) and v(x) = xtan(x).

Then, the product rule states that (uv)' = u'v + uv'.

Derivative of u(x):

u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]

Derivative of v(x):

v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]

= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]

Applying the product rule:

(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))

= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Simplify the expression:

df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.

Substitute x = π/4 into the derivative expression:

df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)

Simplify the trigonometric values:

sin(π/4) = cos(π/4) = 1/√2

tan(π/4) = 1

sec(π/4) = √2

Substituting these values:

df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)

Simplifying further:

df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)

= (5π/4√2) - (10π/4√2) - (5/√2)

= (5π - 10π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:

df = (-5π - 5√2)/(4√2) * (1/24)

= (-5π - 5√2)/(96√2)

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Answer:

20° and 70°

Step-by-step explanation:

complimentary angle sum to 90°

let x be the compliment then the angle is 3x + 10 , so

x + 3x + 10 = 90 , that is

4x + 10 = 90 ( subtract 10 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

3x + 10 = 3(20) + 10 = 60 + 10 = 70

the 2 angle measures are 20° and 70°

Answer:

70.2

Step-by-step explanation:

28.08 / 0.4 = 70.2

Answer:

y =24 -x

Explanation:

Mr Ledger has 24 donuts and if he uses x donuts then the amount he will have left will be

and since we are calling this amount left y, we can say

which is our answer!

When Mr Ledger uses 18 donuts, the number left will be

And when Mr Ledger uses 22 donuts, we will have left

donuts.

The graph of the two points is given below.