find the coordinates of F' after reflection across the line
x = -1 and then across the line
y = -1. Answer in form (a,b). Part 6a​

Answer:

-4

Step-by-step explanation:

i just did it..

Answer:

The correct answer is -4

Step-by-step explanation:

I hope this helps you.

Answer:

8km

Step-by-step explanation:

1:100000

8 : x

x = the distance travelled in cm = 8 x 100000 = 800000cm

convert cm to km = 800000/100000 = 8km

Hope this helps.

Good Luck

Answer:

[tex]8x^2-10x-3[/tex]

Step-by-step explanation:

[tex](2x-3)(4x+1)[/tex]

[tex]2x(4x+1)-3(4x+1)[/tex]

[tex]8x^2+2x-12x-3[/tex]

[tex]8x^2-10x-3[/tex]

Answer:it would be D

Step-by-step explanation:

Input would be the x and output the y

Answer: D

Step-by-step explanation: The input is X, Output is Y

Answer:

0.6206

Step-by-step explanation:

We would be using the Z score probability to answer this question

The formula to find the is given as :

is z = (x-μ)/σ,

x = observed value

μ = mean or average value

σ = Standard deviation

To find the probability that between 3,000 and 4,800 acres will be burned in any given year

Step 1

Find the probability that that between 3,000 will be burned in any given year

z = (x-μ)/σ,

x = observed value = 3000

μ = mean or average value = 4500

σ = Standard deviation = 780

z = (3000- 4500)/780

z = -1.92308

Step 2

Find the probability that that between 4,800 will be burned in any given year

z = (x-μ)/σ,

x = observed value = 4800

μ = mean or average value = 4500

σ = Standard deviation = 780

z = (4800- 4500)/780

z =0.38462

Step 3

Using the Z score normal distribution table:

= P(Z <0.38462) - P(Z < - 1.92308)

= P(-1.92308 < Z < 0.38462)

Using the Z score normal distribution table:

P(z) -1.92308 = 0.02743

P(z) 0.38462 = 0.64803

Therefore, the probability that between 3,000 and 4,800 acres will be burned in any given year

0.64803 - 0.02743

= 0.6206

Answer: 0.6225

Step-by-step explanation:

$P\left(3,000<X<4,800\right)=0.6225

The mean is μ=4500 and the standard deviation is σ=780. Because the probability between two values is to be calculated, subtract the probability of the lower value from the higher value. In this case, you have to use the NORMDIST function twice.

1. Open Excel and click on any empty cell. Click Insert function, fx.

2. Search for NORMDIST in the search for a function dialog box and click GO.

3. Make sure NORMDIST is on top in select a function. Then click OK.

4. In the function arguments of the NORMDIST function, enter 4800 for X, 4500 for mean, 780 for Standard_dev, and TRUE for Cumulative, all for the higher value of X. Thus, the answer, rounded to four decimal places, is 0.6497.

5. Click on any other empty cell. Click Insert function, fx.

6. Search for NORMDIST in the search for a function dialog box and click GO.

7. Make sure NORMDIST is on top in select a function. Then click OK.

8. In the function arguments of the NORMDIST function, enter 3000 for X, 4500 for mean, 780 for Standard_dev, and TRUE for Cumulative, all for the lower value of X. Thus, the answer, rounded to four decimal places, is 0.0272.

Now subtract: 0.6497−0.0272=0.6225. Thus, the probability that between 3,000 and 4,800 acres will be burned in any given year is 0.6225.

Answer: V=1008π units³

Step-by-step explanation:

The formula for volume is [tex]V=\pi r^2h[/tex]. We can plug in our values to find volume.

[tex]V=\pi (12)^2(7)[/tex]

[tex]V=1008\pi[/tex]

Answer:

rational

irrational

  irrational

 rational

rational

irrational  

Step-by-step explanation:

sqrt(16) +  (-21/5) = 4 + (-21/5) = 4+(-4 1/5)= rational both can be written as fractions

pi +24  irrational  pi is irrational

sqrt(8) + pi = 2 sqrt(2) + pi   irrational because  both are irrational

sqrt(4) +5 = 2+5 = 7  rational

sqrt(36) + cuberoot(27) =6+3 = 9  rational

3/4+ sqrt(27) = 3/4 + 3sqrt(3) = irrational   sqrt(3) is irrational  

Answer:

rational

irrational

irrational

rational

rational

irrational  

Step-by-step explanation:

√16 = 4 is rational.

-21/5 is rational it can be expressed as a fraction.

[tex]\pi[/tex] is irrational.

√4 = 2 is rational.

5 is a rational number.

√36 = 6 is rational.

∛27 = 3 is rational.

3/4 is rational.

√27 is irrational.

Answer:

258 cm

Step-by-step explanation:

Given:

Distance from the base of the pole to the base of a tent guy line is [tex]2\frac{1}{2}[/tex]

Length of a tent guy line is 359 cm

To find: Height of the upright tent pole

Solution:

Let AB denotes the pole and AC denotes a tent guy line.

According to Pythagoras theorem, in a right angled triangle, square of hypotenuse is equal to sum of squares of other two sides.

[tex]AC^2=AB^2+BC^2[/tex]

[tex]AC=359 cm\\AB=x\\BC=2\frac{1}{2}\,m=\frac{5}{2}\,m=\frac{5}{2}\times 100=250\,cm[/tex]

Therefore,

[tex](359)^2=x^2+(250)^2\\128881=x^2+62500\\128881-62500=x^2\\66381=x^2\\x=257.6\,cm\approx 258\,cm[/tex]

Answer:

C

Step-by-step explanation:

9.16 meters

The length of sandbox 2 is 9.16 meters.

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.

Given Two sandboxes with the same area,

area of sand box 1 = 25 m²

area of sand box 2 = w(3w+1) = 25

25 = w(3w + 1)

3w² + w - 25 = 0

w = 2.7248 (round to 2.72 m)

length is (3w + 1) = 3(2.72) + 1 = 9.16 m

Hence the length is 9.16 meters.

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the complete Question is,

Two sandboxes with the same area are shown. The equation w(3w+1)=5^2 represents the area of Sandbox 2 in terms of its width. Which is the approximate length of the longest side of Sandbox 2? Round the answer to the nearest hundredth of a meter. and area of sandbox 1 ia 25 m².

Answer:

Option B.

Step-by-step explanation:

Let the two matrix A and [tex]A^{-1}[/tex] are,

A = [tex]\begin{bmatrix}4 & 3\\ 3 & 2\end{bmatrix}[/tex] and [tex]A^{-1}[/tex] = [tex]\frac{1}{(-1)}[/tex][tex]\begin{bmatrix}2 &-3\\-3 & 4\end{bmatrix}[/tex]

Therefore, [tex]A^{-1}[/tex] = [tex]\begin{bmatrix}-2 & 3\\3 & -4\end{bmatrix}[/tex]

Now [tex]A.A^{-1}[/tex] = [tex]\begin{bmatrix}4 & 3\\ 3 & 2\end{bmatrix}.\begin{bmatrix}-2 & 3\\3 & -4\end{bmatrix}[/tex]

                   = [tex]\begin{bmatrix}(-8+9) & (12-12)\\(-6+6) & (9-8)\end{bmatrix}[/tex]

                  = [tex]\begin{bmatrix}1 & 0\\0 & 1\end{bmatrix}[/tex]

Therefore, Option (B) will be the answer.

Answer:

4 km -> 400,000 mm

put a decimal point at the end of 4 and move it to the left 6 times because we know that 1 km is equal to 100,000 and it has zeros.

hence, it is proven that 4 km is equal to 4000,000.

Answer:

b

Step-by-step explanation:

i did the test and I got the answer right here after being corrected so yah.

Answer:

All real numbers

Step-by-step explanation:

Answer:

Step-by-step explanation:

When the question comes with answer choices, please share them.   In this case it sounds like there were four graphs from which to choose.

f(x) = |x^2 − x − 2| is always zero or greater, due to the absolute value function.

x^2 − x − 2 = 0 factors to (x - 2)(x + 1) = 0, so the zeros of f(x) are {-1, 2}.

Plot x-intercepts {-1, 2}.  The axis of symmetry is the vertical line x = 1/2, which is precisely halfway between the x-intercepts.  If we now choose the test number x = 0, we find the value of f(0) to be |-2}, which tells us that the y-intercept is (0, |-2|), or (0, 2), so we have a parabolic curve opening down between x = -1 and x = 2 and touching (but not crossing) the x-axis at those x-values. To the left of x = -1 the curve increases steadily from y = 0 in Quadrant II; to the right of x = 2, the curve increases steadily from y = 0 in Quadrant I.

The graph for the given function is plotted below.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is f(x)=|x²-x-2|.

Graph the absolute value using the vertex and a few selected points.

Put x= -2, -1, 0 and 1 in the given function, we get

When x=0

y= |0-0-2|

y=0

When x=1

y=|1-1-2|

y=2

When x=-2

y=|4+2-2|

y=2

Now, plot points (-2, 4), (-1, 0), (0, 2) and (1, 2) on graph

Therefore, the graph for the given function is plotted below.

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Answer:

x = -4

Step-by-step explanation:

6 -x = 5x + 30

6 - 30 = 5x + x

-24 = 6x

divide both sides by 6 to get x = -4

Answer:

[tex]=-4[/tex]

Step-by-step explanation:

[tex]6-x=5x+30\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\6-x-6=5x+30-6\\\mathrm{Simplify}\\-x=5x+24\\\mathrm{Subtract\:}5x\mathrm{\:from\:both\:sides}\\-x-5x=5x+24-5x\\Simplify\\-6x=24\\\mathrm{Divide\:both\:sides\:by\:}-6\\\frac{-6x}{-6}=\frac{24}{-6}\\Simplify\\\frac{-6x}{-6}=\frac{24}{-6}\\\mathrm{Simplify\:}\frac{-6x}{-6}:\quad x\\\frac{-6x}{-6}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{6x}{6}\\\mathrm{Divide\:the\:numbers:}\:\frac{6}{6}=1\\=x[/tex]

[tex]\mathrm{Simplify\:}\frac{24}{-6}:\quad -4\\\frac{24}{-6}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\=-\frac{24}{6}\\\mathrm{Divide\:the\:numbers:}\:\frac{24}{6}=4\\=-4\\[/tex]

Answer:

[tex]\frac{1}{5x-5}[/tex]

Step-by-step explanation:

=> [tex]\frac{x-1}{5(x-1)^2}[/tex]

=> [tex]\frac{x-1}{5(x-1)(x-1)}[/tex]

Cancelling (x-1)

=> [tex]\frac{1}{5(x-1)}[/tex]

=> [tex]\frac{1}{5x-5}[/tex]

The simplified form of the expression (x-1)/5(x-1)² is 1/(5x-5).

The given expression is (x-1)/5(x-1)²

To simplify the expression (x-1)/5(x-1)², we can first cancel out the common factor of (x-1) in the numerator and denominator:

(x-1)/(5(x-1)²) = 1/[5(x-1)]

The expression simplifies to 1 divided by 5 times (x-1), which can be written as:

1/(5x-5)

So, the simplified form of (x-1)/[5(x-1)²] is 1/(5x-5).

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Answer:

153 members

Step-by-step explanation:

Given;

117 had used treadmills

N(A) = 117

89 had used stationary bikes

N(B) = 89

53 had used both types of equipment

N(A∩B) = 53

The number of members that had used treadmills, stationary bikes, or both is;

N(A or B) = N(A) + N(B) - N(A∩B)

N(A or B) = 117 + 89 - 53

N(A or B) = 153

The number of members that had used treadmills, stationary bikes, or both is 153

Answer:

2

Step-by-step explanation:

10a² : 5a² = 10 : 5 = 2

Answer:

[tex]-4y-1[/tex]

Step-by-step explanation:

[tex](5y+-y+-8y)+(8+-8+-1)[/tex]

[tex]-4y-1[/tex]

Answer:

5y + 8 - 1y - 8 - 8y - 1

variables = -4y

numbers = -1

Answer:

y = 8x +4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

These lines are parallel so they have no solutions

Answer:

Infinite Solutions

Step-by-step explanation:

When graphed, the lines overlap with each other. This means that the system has an infinite number of solutions.

Answer:

i need help

Step-by-step explanation:

Answer:

a) 1 and 7 = congruent

b) 2 and 5 = supplementary

c) 4 and 6 = congruent

d) 3 and 8 = supplementary

Step-by-step explanation:

Congruent angles are the same, but in different forms. So they might be flipped around, but they are still the same angle and they have the same number of degrees.

Supplementary angles are 2 angles that add up to 180 degrees.

For example, you know that 2 + 3 = 180 degrees, because its sitting on a straight line, and so they are supplementary. They have been cut unevenly which makes 2>3. Same goes for all the other pairs of angles. Using this, you can determine which ones are supplementary and congruent.

So, even though they haven't given you exact values for each of the angles, just by looking at the shape, you can often tell very easily what kind they are:

*acute angles = angles that are less than 90 degrees

*obtuse angles = angles more than 90 degrees, but less than 180 degrees.

a) 1 and 7 have the same shape. Both are acute angles, just flipped upside down.

b) 2 and 5 are complementary. 5 is an acute angle, like 1 and 7. 2 is an obtuse angle, like 6 and 8. If you look at it closely, you can tell that they add up to 180 degrees.

c) 4 and 6 are congruent. They are both obtuse angles.

d) 3 and 8 are supplementary. 3 is an acute angle and 8 is obtuse.

Hope this helped : )

Answer:

2/5

Step-by-step explanation:

0.4 = 4/10 which in simplest form is 2/5

Answer:

2/5

Step-by-step explanation:

Answer:

3.1 ≤d≤183.1

Step-by-step explanation:

d = 4.5t + 3.1

Since this is a line, we can find the range by putting in the minimum and maximum of the domain

domain = 0≤t≤40

Let t =0

d = 0+3.1  so the minimum of the range is 3.1

Let t = 40

d = 4.5(40)+3.1

d = 183.1 so the maximum is 183.1

The range is 3.1 ≤d≤183.1

Answer:

..........................

Answer:

(-1, 4)

Step-by-step explanation:

In the figure attached,

Ordered pair representing point P is (3, 4) [parallel to y-axis]

If this point has been reflected across a line x = 1

New point after reflection across x = 1 will be,

P(3, 4) → P'(-1, 4)

Since point P and P' will be equidistant from the line (x = 1), so the x ordinate of P' will be = 3 - 4 = -1

And y-ordinates of point P' will be same as y = 4

Answer: The above answer is correct.

1. C

2. B

Step-by-step explanation: I got this right on Edmentum.

The vertices of the hyperbola will be (–20, 41) and (–20, 1). Then the correct option is C. The foci of the hyperbola will be (–20, 50) and (–20, –8). Then the correct option is B.

The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.

The equation of the hyperbola is given below.

[tex]\rm \dfrac{(y-21)^2}{20^2}-\dfrac{(x+20)^2}{21^2}=1[/tex]

The vertices (h, k + a), (h, k – a) are the two bending points of the hyperbola with center (h, k).

The center of the hyperbola will be at (-20, 21).

The value of a and b will be 20 and 21, respectively.

Then the vertices of the hyperbola will be

(–20, 21 + 20) and (–20, 21 – 20)

(–20, 41) and (–20, 1)

Then the correct option is C.

The foci (h, k + c), (h, k – c) are the two bending points of the hyperbola with center (h, k).

c² = a² + b²

c² = 20² + 21²

c = 29

Then the foci of the hyperbola will be

(–20, 21 + 29) and (–20, 21 – 29)

(–20, 50) and (–20, –8)

Then the correct option is B.

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Answer:

[tex]\frac{3y+4}{2-6y} = -\frac{2}{5} \\y=-8[/tex]

Answer:

y = -8

Step-by-step explanation:

[tex]\frac{3y+4}{2-6y} = \frac{-2}{5}[/tex]

5 ( 3y + 4) = -2 ( 2 - 6y)

15y + 20 = -4 + 12y

15y - 12y + 20 = -4 + 12y -12y

3y + 20 = -4

3y + 20 - 20 = -4 -20

3y = -24

y = -8

Hope this helps ^-^