ΔDEF ∼ ΔABC. What is the sequence of transformations that maps ΔABC to ΔDEF?
A reflection across the y-axis and a translation 4 units down
B. A rotation of 180° about the origin and a dilation with center (0, 0) and scale factor 2
C. A reflection across the y-axis and a translation 2 units down
D. A rotation of 90° about the origin and a translation 2 units down

Answer:

mark me branlist plz

Step-by-step explanation:

3x^2-3 step 1 - 3(2)^2-3=9

step 2 x=2, y=(2)^3- 3(2)+4

(2,6)

step 3 y=mx+b

6=9(2) +b

b=-12

y=9x-12 yr welcome have a great day

Answer:

12

Step-by-step explanation:

Add each number given = 132

132 / 6 (amount of given numbers)

=12

Answer:

150 degrees

Step-by-step explanation:

Hi,

Since one of the angles is 30 degrees and this is a line, we know that 30 + u must equal 180 degrees.

30 + u = 180

Subtract 30 from 180 to find the value of u.

u is 150 degrees.

I hope this helps :)

Answer: 150 degrees

Step-by-step explanation:

A line is 180 degrees in total, since that acute angle is 30 degrees you just subtract 30 from 180, which gives you the other side ( which has to equal 180) of 150 degrees. If it were 40 degrees ( instead of 30) it would be 140 degrees on the other side.... etc

Answer:

::::::::::

(x + 1) (3x - 7)

Answer:

20

Step-by-step explanation:

22+8=30

30-10=20

ur welcome

Answer:

44

Step-by-step explanation:

The absolute value of a number tells us how far the number is from 0 on a number line. Because 44 is 44 places away from 0, the absolute value of 44 is 44.

The absolute value of -44 would also be 44 because it's also 44 places away from 0.

I hope this helps!

Answer:

23/112

Step-by-step explanation:

......23 goes ontop of 112 like...23/112

Answer:

$54870.50

Step-by-step explanation:

Order them from smallest to largest and look at the middle number.

Answer:

ffytyfgdmcnfmd CGM CG dm sdsz Zac jxc BM jkkhff mm s

Answer:

-12a+21

Step-by-step explanation:

-4*(3a-4)+5

-12a+16+5

-12a+21

Answer:

Yes the ladder is safe because 59.25 degrees < 75 degrees

Step-by-step explanation:

In the below photos I have included a screenshot of the equation I used, which I got from another user, and my work with an unfinished diagram and completed equations to the side

Answer:

50

Step-by-step explanation:

Answer: The answer for both is infinity. You might want to recheck the question as it is not very common but if the question is correct this is the answer to it:

Step-by-step explanation:

1. Using the formula m = y2 - y1 / x2 - x1

m = 1 - 1 / -3 -(-3)

m = 0/0

m = infinity

2. Using the formula m = y2 - y1 / x2 - x1

m = -14-(-14) / 7-7

m = 0/0

m = infinity.

Answer:

199

Step-by-step explanation:

82+25=107

107+92= 199

Answer:

the first option

Step-by-step explanation:

for a number to be rational, it should be able to be expressed as a fraction.  Non terminal decimals must have a repeating pattern. Square roots of random numbers aren’t rational. Just like the first rule with decimals, the third number cannot be expressed as a fraction

Answer:

Step-by-step explanation:

it’s the first one

Answer:

x> -20

x= -19,-18,-17,-16,.....

Step-by-step explanation:

-2x + 5 < -x + 25

-2x + x < 25- 5

-x < 20

x> -20

x= -19,-18,-17,-16,......

Answer:

Sorry but it's too hard to answer

Answer:

hiiiiiiiiiiiiiiiiiiii

9514 1404 393

Answer:

  n = √108

Step-by-step explanation:

The triangles in the figure are all similar, so corresponding sides have the same ratio.

  long side/short side = n/6 = 18/n

  n² = 6·18 = 108

  n = √108

_____

Additional comment

The same is true for other side relationships.

  hypotenuse/short side = m/6 = (6+18)/m

  m² = 6(24) = 144

  m = √144 = 12

Answer:

(-3, 5) satisfies both the equation 6x + 5y = 7 and the equation x + 4y = 17.

Answer:

D

Step-by-step explanation:

Answer: i don’t know you can search it up

Step-by-step explanation:

Answer:

The answer to this problem is 1/24

The probability that he spells the word GIRL in the correct order is 1/24.

Probability is the measurement of possibilities in numbers.

Number of letters in word GIRL =4

So, the probability of spelling out G the first time = 1/4

Total words left now =3

So, the probability of spelling out I second time = 1/3

Total words left now =2

So, the probability of spelling out R the third time = 1/2

Total words left now =1

Probability of spelling out L the fourth time = 1/1

So, total probability = (1/4)*(1/3)*(1/2)*(1/1)=1/24

Hence, the probability that he spells the word GIRL in the correct order is 1/24.

To get more about probability visit:

https://brainly.com/question/24756209

Answer:

Volume = (24x⁵ + 78x⁴ - 147x³ - 624x² - 360x)

Step-by-step explanation:

Container given in the picture is in the shape of a cuboid.

And volume of a cuboid is measured by the expression,

Volume of a cuboid = Length × width × height

Now substitute the measure of the container's dimensions given in the picture

Volume = (4x² + 3x)(x²- 8)(6x + 15)

             = [(4x² + 3x)(x²- 8)](6x + 15)

             = [4x²(x² - 8) + 3x(x² - 8)](6x + 15)

             = (4x⁴ - 32x² + 3x³ - 24x)(6x + 15)

             = (4x⁴ + 3x³ - 32x² - 24x)(6x + 15)

             = 6x(4x⁴ + 3x³ - 32x² - 24x) + 15(4x⁴ + 3x³ - 32x² - 24x)

             = 24x⁵+ 18x⁴ - 192x³ - 144x² + 60x⁴ + 45x³ - 480x² - 360x

             = 24x⁵ + 78x⁴ - 147x³ - 624x² - 360x

Answer:

V = 24x⁵+78x⁴-147x³-624x²-360x

Step-by-step explanation:

Answer:

[tex]x \leqslant - \frac{1}{2} [/tex]

Answer:

Step-by-step explanation:

To factorise

3x² - 6x

3x² - 6x

[Taking common term out]

= (3x × x) - (3x × 2)

= 3x ( x - 2)

Hence, factorised answer of 3x² - 6x is 3x (x-2) (Ans)

Answer:

(a)

x cubed is

=x^3=x3

5 times the cube of x is

=5x^3=5x3

4 times x is

=4x=4x

the quotient of 4 times x and 3 is

=\frac{4x}{3}=34x

so,

the difference of 5 times the cube of x cubed and the quotient of 4 times x and 3 is

=5x^3-\frac{4x}{3}=5x3−34x ..........Answer

(b)

5 times cube of x is

=5x^3=5x3

5 times cube of x divided by 4 times x is

=\frac{5x^3}{4x}=4x5x3 ..........Answer

(c)

difference of 5 times x cube and 4 is

=5x^3 -4=5x3−4

so,

the quotient of the difference of 5 times x cube and 4 and x is

=\frac{5x^3-4}{x}=x5x3−4 ...........Answer

(d)

difference of 5 times x and 4 is

=5x-4=5x−4

so,

the cube of the difference of 5 times x and 4 is is

=(5x-4)^3=(5x−4)3 ............Answer

Answer:

(1) 5.23599

(2) 0.314159

(3) 1.8326

Answer:

.52¢

Step-by-step explanation:

One apple cost 52 cents. The expression below represents the cost of an apple.

5a =2.60

5a/5= 2.60/5

a =0.52

Answer:

Each apple costs $0.52.

Step-by-step explanation:

Christ spent a total of $2.60 for 5 apples. We want to find the cost of one apple.

To find this: total cost/total apples

2.60/5 = 0.52

Each apple costs $0.52.

Let's check our answer.

If one apples costs $0.52, 5 apples should cost 0.52 • 5

0.52 • 5 = 2.60

This is how much Christ spent; therefore your answer is correct.

Hope this helps!

Answer:

217.5

Step-by-step explanation:

Answer:

The answer is 2700 i think

Step-by-step explanation:

Answer:

0.0031 = 0.31% probability that exactly 7 out of 10 individuals will visit the Statue of Liberty

Step-by-step explanation:

For each individual, there are only two possible outcomes. Either they visit the Statue of the Liberty, or they do not. The probability of an individual visiting the statue is independent of any other individual. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The sample probability of an individual traveling to the statue is 25%

This means that [tex]p = 0.25[/tex]

The probability that exactly 7 out of 10 individuals will visit the Statue of Liberty is

This is [tex]P(X = 7)[/tex] when [tex]n = 10[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031[/tex]

0.0031 = 0.31% probability that exactly 7 out of 10 individuals will visit the Statue of Liberty