The figure shows two triangles on the coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 4, negative 1, vertex B on ordered pair negative 3, negative 1 and vertex C on ordered pair negative 4, negative 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair negative 1, 1, vertex B prime on ordered pair negative 2, 1, and vertex C prime on ordered pair negative 1, 4. What set of transformations is performed on triangle ABC to form triangle A'B'C'? A translation 5 units up, followed by a 270-degree counterclockwise rotation about the origin A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units up A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units to the right A translation 5 units to the right, followed by a 180-degree counterclockwise rotation about the origin

Answer:

segment a double prime b double prime = segment ab over 2

Step-by-step explanation:

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. which equation explains the relationship between segment ab and segment a double prime b double prime?

coordinate plane with triangle ABC at A (- 3,  3), B (1, - 3), and C (- 3, -3).

segment a double prime b double prime = segment ab over 2

segment ab = segment a double prime b double prime over 2

segment ab over segment a double prime b double prime = one half

segment a double prime b double prime over segment ab = 2

Answer:  If triangle ABC at A (- 3,  3), B (1, - 3), and c (- 3, -3) is translated using   (x + 2, y + 0), then the new coordinates of triangle ABC would be at A'(- 3 + 2,  3), B'(1 + 2, - 3), and C'(- 3 + 2, -3) Which is A'(- 1,  3), B'(3, - 3), and C'(- 1, -3). The dilation by a scale factor of from the origin gives A″ (-1/2, 3/2), B″ (3/2, -3/2) and C″(-1/2, -3/2) = (-0.5, 1.5), B″ (1.5, -1.5) and C″(-0.5, -1.5)

The distance AB and A"B" are given as:

[tex]AB=\sqrt{(1-(-3))^2+(-3-3)^2} =\sqrt{5 2} \\\\A"B"=\sqrt{(1.5-(-0.5))^2+(-1.5-1.5)^2} =\sqrt{13}[/tex]

AB = √52 = √(4×52) = 2√13 = 2A"B"

A"B" = AB/2

Answer:

What The Other Guy Said Was Correct

Step-by-step explanation:

2 + 2 = 4

Answer:

16 lollipops

Step-by-step explanation:

4 is 1/4 so multiply 4 by 4

Answer:

E. 4 shifts

Step-by-step explanation:

L.C.M. of 18 and 24

18=2×3×3

24=2×2×2×3

L.C.M.=2×2×2×3×3=72

so after 72 hours time will be same

or 72/18=4 shifts

Answer:

f(6) = 24

Step-by-step explanation:

Simply plug the value of 6 into the equation for x.

f(x) = x^2 - 2x

f(6) = (6)^2 - 2(6)

f(6) = 36 - 12

f(6) = 24

Answer: 24

Step-by-step explanation: you can say that 6=x Wichita in this case we would substitute x for 6

6²-2*6=36-12=24

Hope this helps!

Answer:

[tex]\huge \boxed{\sf \ \ x=-\dfrac{1}{2} \ \ }[/tex]

Step-by-step explanation:

Hello,

We need to express this parabola using this kind of expression

   [tex]y=a(x-b)^2+c[/tex]

and then, the line of symmetry will be the line x = b

Let's do it !

[tex]\text{*** Complete the square ***} \\ \\ x^2+x=x+2\cdot \dfrac{1}{2}\cdot x=(x+\dfrac{1}{2})^2-\dfrac{1^2}{2^2}=(x+\dfrac{1}{2})^2-\dfrac{1^2}{4} \\ \\ \text{*** Apply it to our parabola } \\ \\y=-x^2-x+2=-(x^2+x)+2=-[(x+\dfrac{1}{2})^2-\dfrac{1}{4}]+2 = -(x+\dfrac{1}{2})^2+\dfrac{1+2*4}{4}= -(x+\dfrac{1}{2})^2+\dfrac{9}{4} \\ \\ \text{*** It comes ***} \\ \\ \Large \boxed{\sf \ \ y=-(x+\dfrac{1}{2})^2+\dfrac{9}{4} \ \ }[/tex]

So the line of symmetry is

[tex]\huge \boxed{\sf \ \ x=-\dfrac{1}{2} \ \ }[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

Step-by-step explanation:

All School teachers

Answer:

All school teachers

Step-by-step explanation:

The other groups don't include teachers at all, so they definitely wouldn't be helpful for the survey that is only the teachers' preferences.

Answer:

( x + 3)( x + 4) = 5  

Step-by-step explanation:

A quadratic equation is an equation with the highest power of the variable to the power of 2

( x + 3)( x + 4) = 5  

The highest power is  x^2 +3x+4x+12 =5   is x^2

Quadratic

5(4 x + 2) = 3

20x  + 10 =3

linear

x( x∧2 + 1) = 0

x^3 +x =0

Cubic

Answer:

[tex]( x + 3)( x + 4) = 5[/tex]

Step-by-step explanation:

First of all: What is a quadratic equation?

A quadratic equation is a second-degree polynomial. It means that the highest exponent must be 2.

[tex]( x + 3)( x + 4) = 5[/tex]

Using FOIL

[tex]x^2+4x+3x+12=5[/tex]

[tex]x^2+7x+7=0[/tex]

We got the answer. But just expanding the other equations given:

[tex]5(4 x + 2) = 3[/tex]

[tex]20x+10=3[/tex]

[tex]20x+7=0[/tex]

This one is a linear equation

In this case, actually there's a typo mistake, but it still understandable.

The symbol used is the logical symbol meaning AND (∧)

Of course, you meant [tex]x^2[/tex]

[tex]x(x^2+1)=0[/tex]

[tex]x^3+x=0[/tex]

This one is a cubic equation or third-degree polynomial

Answer:

8 ft

Step-by-step explanation:

Use pythagorean theorem. [tex]a^{2}+b^{2}=c^{2}[/tex]. Put 10 and 6 into the equation as b and c.

[tex]a^{2}+6^{2}=10^{2}[/tex]

[tex]a^{2} =100-36\\a^{2}=64\\a=8[/tex]

Therefore, the answer is 8ft.

A diagram is attached. Sorry it's kinda messy.

Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The height of the window from the ground or the base of the building is 8 feet.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

Given the length of the ladder is 10 feet, while the distance between the base of the ladder and the building is 6 feet. Therefore, the height of the window from the base is,

(Length of the ladder)² = (Length between the two)² + (Height)²

(10 feet)² = (6 feet)² + (Height)²

(Height)² = 100 - 36

Height = 8 feet

hence, the height of the window from the ground or the base of the building is 8 feet.

Learn more about Pythagoras' Theorem:

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Answer:

2.25

Step-by-step explanation:

x/1 = (9+x)/5

9 + x = 5x

9 = 4x

x = 2.25

Answer:

x = 9/4

Step-by-step explanation:

We know that the triangles are similar

We can use ratios to solve

x          x+9

----- = ----------------

1            5

Using cross products

5x = 1(x+9)

5x = x+9

Subtract x

5x-x = x+9-x

4x= 9

Divide by 4

4x/4 = 9/4

x = 9/4

Answer:

D. Can’t be determined

Step-by-step explanation:

There is no relationship.

Answer: can’t be determined

Step-by-step explanation:

Answer: - l x+1 l + 1   remember l is the absolute value sign.

Step-by-step explanation:

We need to know that this is an absolute value function graph. So looking at the graph we could see that is is shifted vertical or up  by 1 and it has been shifted to the left by 1 units and it also opens down.

So we could represent that by the equation.

y =  -l x +1 l +1  

Answer: The difference in the temperatures is 8° C colder between noon and 6 pm

Step-by-step explanation: To find the difference, subtract.

-12 -(-4) = -12 +4 = -8

Answer:

Step-by-step explanation: I tried to work it out well.

I Hope it helps:)

[tex]3x + 9 < 4(x-5) -x + 3 + 2x\\\mathrm{Group\:like\:terms}\\3x+9<-x+2x+4\left(x-5\right)+3\\\mathrm{Add\:similar\:elements:}\:-x+2x=x\\3x+9<x+4\left(x-5\right)+3\\Expand ; x+4\left(x-5\right)+3\\=x+4x-20+3\\=5x-17\\3x+9<5x-17\\\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\3x+9-9<5x-17-9\\Simplify\\3x<5x-26\\\mathrm{Subtract\:}5x\mathrm{\:from\:both\:sides}\\3x-5x<5x-26-5x\mathrm{Simplify}\\-2x<-26\\[/tex]

[tex]Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)\\\left(-2x\right)\left(-1\right)>\left(-26\right)\left(-1\right)\\Simplify\\2x>26\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2x}{2}>\frac{26}{2}\\\\x>13[/tex]

Answer:

0.22

Step-by-step explanation:

2/9 as a decimal is 0.22222222

This number rounded off to its nearest hundredth is 0.22

Hope it helped

Answer:

[tex]\boxed{\sf 0.22}[/tex]

Step-by-step explanation:

[tex]\sf \frac{2}{9} =0.2222222222222222...[/tex]

[tex]\sf Round \ to \ nearest \ hundredth.[/tex]

[tex]\sf \frac{2}{9} \approx 0.22[/tex]

Answer:

x=25

Step-by-step explanation:

To find x (hypotenuse), it is a^2+b^2=c^2

24^2+7^2=625

[tex]\sqrt{625}[/tex]=25

x=25

Hope this helps!!

Answer:

-8q +18

Step-by-step explanation:

-3 ( 2q -6) -2q

Distribute

-6q+18-2q

Combine like terms

-8q +18

Answer:

Both inequalities use the division property to isolate the variable, y. When you divide by a negative number, like –7, you must reverse the direction of the inequality sign. When you divide by a positive number, like 7, the inequality sign stays the same. The solution to the first inequality is y > -23, and the solution to the second inequality is y <>

Step-by-step explanation:

Answer:

Y=12x

If Y represents the Cost and X represents the number of books purchased.

WORD FORM:

Cost equals 12 times as many books that are purchased.

Answer:

FG H(2) = F*G*H(2) = 0

Step-by-step explanation:

Your  F(x) = 2x - 4; GX) = 3x + 2; Hpx)=x2 requires a bit of guesswork for the reader to understand it.  I believe you meant:

F(x) = 2x - 4; G(X) = 3x + 2; H(x)=x2 Find FG H(2)

First find F(2):  f(2) = 2(2) - 4 = 0

Because this multiplicand is zero, further multiplication will result in zero also.  Thus, the final answer is zero (0).

Answer:

Step-by-step explanation:

Spinner pointing to red, blue or yellow is equally likely:

P(blue) = P(yellow) = P(red) = 1/3.

In a perfect world, the spinner would land on blue (1/3)(150) = 50 times; on red 50 times and on yellow 50 times.

If in real life the spinner lands on yellow 44 times (C) is most reasonable, as that is closest to the ideal 50 times.

A) Lands on blue 60 times - Reasonable outcome.

B) Lands on red 120 times - Not reasonable.

C) Lands on yellow 90 times - Not reasonable.

D) Lands on yellow 44 times - Reasonable.

If the spinner has three colors (red, yellow, and blue) with equal areas, and we spin it 150 times, the reasonable outcomes would be:

A) Lands on blue 60 times - Reasonable since there is an equal chance of landing on each color, and 60 is a fraction of 150 that falls within the expected range.

B) Lands on red 120 times - Not reasonable since the expected number of times for each color is 150 / 3 = 50, and 120 is significantly higher than this expected value.

C) Lands on yellow 90 times - Not reasonable since the expected number of times for each color is 150 / 3 = 50, and 90 is significantly higher than this expected value.

D) Lands on yellow 44 times - Reasonable since there is an equal chance of landing on each color, and 44 is a fraction of 150 that falls within the expected range.

Therefore, the reasonable outcomes would be A) Lands on blue 60 times and D) Lands on yellow 44 times.

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Answer: 4

Step-by-step explanation:

Because the equation says at least 45, we know the sign is [tex]\leq[/tex].  Because she has already run 6 rounds, the equation must have + 6.

Hope it helps <3

Answer:

6 units squared

Step-by-step explanation:

To solve this problem you can solve for the entire area of the square and subtract the area of the unfilled areas for the area of the shaded region..

Area of entire square is 4*4=16

Now for the sections that are unfilled:

4*3/2= 6

1*1/2= 0.5

2*1 = 2

1*1 = 0.5

2*1/2 = 1

Total area of Unfilled region = 6 + 0.5 + 2 + 0.5 +1 = 10

Area of filled region = 16 - 10 = 6 units squared

Hope this helped!

Answer:

243 ways

Step-by-step explanation:

Fruits = 5

Bowls = 3

Remember that, There are three bowls for five fruits. So the possible outcomes are:

=> [tex]3^5 = 3*3*3*3*3 = 243[/tex] ways

Answer:

Option D

Step-by-step explanation:

=> [tex]\sqrt[3]{16}[/tex] is an irrational number because it cannot be written in the form of [tex]\frac{p}{q}[/tex] which is one of the most important characteristics of rational number.

=> The simplified form of [tex]\sqrt[3]{16}[/tex] is [tex]16 ^{1/3[/tex].

Answer:

[tex]\boxed{\sqrt[3]{16}}[/tex]

Step-by-step explanation:

Irrational numbers cannot be expressed as a fraction in the form [tex]\frac{p}{q}[/tex], where [tex]p[/tex] and [tex]q[/tex] are whole integers.

[tex]\sqrt{100} =10[/tex]

[tex]\frac{1}{8} = \frac{1}{8}[/tex]

[tex]-2.2675=\frac{-907}{400}[/tex]

[tex]\sqrt[3]{16} = 2.51984209979...[/tex]

Answer:

18.75%

Step-by-step explanation:

(round answer if needed)

Answer: 18.75%

Step-by-step explanation:

divide 100 by 16

100/16=6.25

6.25x3=18.75

Answer:

The hikes ordered from the least to the greatest number of animals seen per kilometre

Canyon Creek < Wooded Marsh < Rivers Edge

2.33 < 2.50 < 2.67

Step-by-step explanation:

Question Properly written

You went on three hikes. On each hike, you saw a different number of animals:

Hike | Length of hike (km) | Number of animals seen

Rivers Edge | 3 | 8

Wooded Marsh | 8 | 20

Canyon Creek | 15 | 35

Order your hikes by number of animals seen per kilometer from least to greatest.

Solution

Number of animals seen per kilometre = (Number of animals seen) ÷ (Length of hike in kilometres)

Rivers Edge

Number of animals seen = 8

Length of hike in kilometres = 3

Number of animals seen per kilometre = (8/3) = 2.67

Wooded Marsh

Number of animals seen = 20

Length of hike in kilometres = 8

Number of animals seen per kilometre = (20/8) = 2.50

Canyon Creek

Number of animals seen = 35

Length of hike in kilometres = 15

Number of animals seen per kilometre = (35/15) = 2.33

Ordering the hikes by number of animals seen per kilometer from least to greatest.

2.33 < 2.50 < 2.67

Canyon Creek < Wooded Marsh < Rivers Edge

Hope this Helps!!!

Answer:

A.) Option C

B.) Option A

Step-by-step explanation:

A.) Rita is delivering a pizza to Mark's house. We will assume she is starting from rest as She drives at a constant speed toward the house until she hits a traffic jam and has to stop for several minutes. On the graph, the line will be horizontal as she stop for some time.

After, she starts up again and drives at a faster speed than before. The slope of the latter will be greater than the former.

Since the graph is distance - time graph, the best graphical representation for this illustration is C

B.) The is a speed - time graph.

At constant speed, the graphical line will be horizontal. As Chau speed up, that means he accelerated and increased the speed. The slope of the line will be positive. And finally, as he slow down, the car will be decelerating. The slope of the graph will be negative.

The correct graphical representation for this illustration is A

Answer:

47

Step-by-step explanation:

If a number x < 0, |x| = -x, in this case, x = -47, therefore |-47| = -(-47) = 47.

Answer:

Fraction- 12/20 or 3/5

Percentage- 60%

Decimal-0.6

Step-by-step explanation: Add 8 and 12 together and that’s your denominator and top is 12 because those are many consonants there are. So the fraction is 12/ 20 an you can simplify it. Then you can change it into a decimal and percentage.

Answer:

32 m

Step-by-step explanation:

The distance across the river is give as x and we are interested in finding the value of x.

Both the triangles are similar by AA Postulate.

Therefore,

20/x = 10/16 (by c.s.s.t.)

2/x = 1/16

x = 16*2

x = 32 m