Look at △ABC and △DEF on this coordinate grid.




Which transformation shows that △ABC and △DEF are similar?


A

a dilation of △ABC with a scale factor of 2


B

a translation of △ABC 1 unit up and 3 units to the right


C

a dilation of △ABC with a scale factor of 12


D

a translation of △ABC 3 units up and 3 units to the right

The number of the lions that live in the region investigated by the considered scientist is 80.

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, we're specified that:

Let we take:

x = number of lions the scientist located and tagged on thursday.

Then, we get:

x - 10 = number of lions the scientist located (and assumingly found that they're tagged) on friday,

4 = number of lions he found tagged on friday.

That means, x -10 is same number as 4

or, we get:

[tex]x - 10 = 4\\\text{Adding 10 on both the sides}\\\\x = 14[/tex]

That means, on thursday, the scientist located and tagged 14 lions.

Now, suppose that the region had 'y' number of lions,

Then, as per the data in the question,

one-fifth of y =  number of lions located by scientist on thursday

or, we get:
[tex]\dfrac{y}{5} = x\\\\\dfrac{y}{5} = 14\\\\\text{Multiplying 5 on both the sides}\\\\y = 80[/tex]

Thus, the number of lions that live in the region considered is 80

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The total number of lines is 70.

We have given that,

A scientist wants to estimate the number of lions living in a region.

On Thursday, he locates and tags some lions.

On Friday he returns and locates 10 less lions than he had on Thursday.

He notices that 4 of the lions are tagged

The scientist works out an estimate for the total number of lions living in the region.

we have to determine the no of lines in the length.

on Thursday no.of lines=x

on friday=(x-10)=4

x-10=4

add like terms

Like terms are terms whose variables and their exponents such as the 2 in x^2 are the same.

x=10+4

x=14

No.of total lions =5th of (no. of tagged on Thursday.)

=5(14)

=70

Therefore the total number of lines is 70.

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Answer:

(5,-1)

Step-by-step explanation:

rotate the point

The additive inverse of the given polynomial is

-f(x,y)=-9xy^2+6x^2y-5x^3

You have the polynomial f(x,y)=-9xy^2+6x^2y-5x^3.

Additive inverse means changing the sign of the number and adding it to the original number to get an answer equal to 0.

The additive inverse of a polynomial f(x,y) is a polynomial that makes zero when it is added to polynomial f(x,y).

So additive inverse of polynomial f(x,y) will be -f(x,y).

Thus, the additive inverse will be

-f(x,y)=-9xy^2+6x^2y-5x^3

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Answer:

D

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

To tell whether two triangles are similar or not, we can compare their side lengths or angle measures

in this case, only angle measure are given so will compare those:

m<F = m<I but this is not enough, we need to compare other angles as well

m<H is not equal to m<G

The sum of interior angles in a triangle is equal to 180

so the measure of angle J

100+55+J = 180

J = 25

The measure of angle E

100+35+E = 180

E = 45

Now, neither of these angles are equal to each other so we can conclude that these triangles are not similar.

A system of equations has no solution. if y = 8x+ 7 is one of the equations, The other equation will be y = 8x - 7.

A set of two linear equations with two variables is called a system of linear equations. They create a system of linear equations when evaluated collectively.

The first equation is given as:

y = 8x + 7

The equations in the system would have different constant values if the system of equations had no solution.

y=8x+b

Where:

b is a variable that is not equal to 7.

The equation whose standard form is y=ax+b has no solution. Only equation 2 satisfies the generalized form.

Hence.if y = 8x+ 7 is one of the equations, The other equation will be y = 8x - 7.

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Answer:

B

Step-by-step explanation:

A system of equations has no solution. If y = 8x + 7 is one of the equations, which could be the other equation?

2y = 16x +14  

y = 8x – 7

y = –8x + 7

2y = −16x − 14

Answer: Option (3)

Step-by-step explanation:

So it can be shown as:

[tex]\sf \dfrac{read \ books}{total \ books \ in \ list}[/tex]

[tex]\hookrightarrow \sf \dfrac{4}{12}[/tex]

on simplifying

[tex]\hookrightarrow \sf \dfrac{1}{3}[/tex]

So, option 1 is correct.

First one

Let's find

fraction:-

Cancel by 4

Hence verified

Answer:

First and second are both true.

Third and fourth are not true.

Step-by-step explanation:

4−2(3+7)=4−2⋅3−2⋅7

4−2(3+7)= 4 - 2(3+7)  [  -2*3 - 2*7 :  the -2 can be removed from -2*3-2*7 to make -2(3 + 7); communative]  This results in 4-2(3+7), the same on the left side

4−2(3+7)=4+−2⋅3+−2⋅7

The (4+-2*3+-2*7) can be written as (4-2*3-2*7) to simplify the "-+" to simply "-".  That can be written as 4 - 2(3+7), the same as on the left side.

4−2(3+7)=4−2⋅3+2⋅7

4−2(3+7)=4−(2⋅3+2⋅7)

Answer:

The answer is C. The frequency is 15 more than expected.

Step-by-step explanation:

A dice has 1-6. There are 3 odd numbers and 3 even numbers. So a 50% chance of landing an even number. Since you rolled 30 times and got 18 even then more than half of 30 times.

Answer:

151 inches

Step-by-step explanation:

Answer:

Θ ≈ 98.5° , 261.5°

Step-by-step explanation:

using the identity

cosΘ = [tex]\frac{1}{sec0}[/tex] , then

cosΘ = [tex]\frac{1}{-6.743}[/tex] ≈ - 0.1483

since cosΘ < 0 then Θ is in 2nd and 3rd quadrants

Θ = [tex]cos^{-1}[/tex] (- 0.1483) ≈ 98.5° ← in 2nd quadrant

related acute angle = 180° - 98.5° = 81.5° , then

Θ = 180° + 81.5° = 261.5° ← in 3rd quadrant

Answer:

0.57888

Step-by-step explanation:

0.24

2.412

----------

0.57888

Hope I helped

Answer:

Stephanie has more than $900

Step-by-step explanation:

Represent the unknowns:  a for Alexandra and s for Stephanie.

Then a + s > $2,500, and a = s + $700.

Substituting the latter into the former equation, we get:

(s + $700) + s > $2,500, or

2s > $1800

Then s > $900; Stephanie has more than $900.

Answer:

32 unit is your correct answer

Answer:

Step-by-step explanation:

the answer is 32

Answer:

A. 75 in³

Step-by-step explanation:

[tex]volume = \frac{1}{3} \times \pi \: {r}^{2} \: h = \frac{1}{3} \times \pi \times { 3}^{2} \times 8 = 75.4[/tex]

Check the picture below.

Answer:

  3(x+2)/(2(x+4))

Step-by-step explanation:

A compound fraction is simplified by rewriting it as a simple fraction, and reducing it to lowest terms by cancelling common factors from numerator and denominator. The division of one fraction by another is accomplished in the usual way: multiply the numerator by the inverse of the denominator.

__

  [tex]\dfrac{\left(\dfrac{6x^2-24}{x^2+7x+12}\right)}{\left(\dfrac{4x^2-4x-8}{x^2+4x+3}\right)}=\left(\dfrac{6x^2-24}{x^2+7x+12}\right)\times\left(\dfrac{x^2+4x+3}{4x^2-4x-8}\right)\\\\=\dfrac{6(x-2)(x+2)}{(x+3)(x+4)}\times\dfrac{(x+1)(x+3)}{4(x-2)(x+1)}=\dfrac{3(x-2)(x+1)(x+2)(x+3)}{2(x-2)(x+1)(x+3)(x+4)}\\\\=\boxed{\dfrac{3(x+2)}{2(x+4)}}[/tex]

Answer:

Step-by-step explanation:

8(y+4)=2(x+1)

divide by 8    y+4=1/4x+1/4   subtract 4    y=1/4x - 3 3/4   multiply by 4   y=1/4(x-15)

Answers:

Equation in standard form: [tex]y = \frac{1}{8}(x+1)^{2} -4[/tex]

Axis of Symmetry: x = -1

Vertex: (-1, -4)

Focus: (-1, -2)

Directrix: y = -6

Step-by-step explanation:

First, let's clean up some of the mess with the equation that we have been given in this question and put it in standard form so that we can find the features we've been asked to give.

Our initial equation is:  [tex]8(y+4)=(x+1)^{2}[/tex]

In order to put our equation in standard form, we must isolate y, so that it is in terms of y.

First, we need to divide both sides by 8. When we do this, we get  [tex]y+4=\frac{(x+1)^{2} }{8}[/tex] or [tex]y+4=\frac{1}{8}(x+1)^{2}[/tex]. Then we need to subtract 4 from both sides to get:  [tex]y = \frac{1}{8}(x+1)^{2} -4[/tex].

Now, we can start to find the features of the parabola. Remember, the standard form of equations involving parabolas is [tex]y=a(x-h)+k[/tex] where [tex]a =\frac{1}{4p}[/tex].

The axis of symmetry is at [tex]x=h[/tex], in this case [tex]h=-1[/tex] so the axis of symmetry is [tex]x=-1[/tex].

The vertex is located at [tex](h, k)[/tex]. As we previously stated [tex]h=-1[/tex], but additionally, [tex]k=-4[/tex] making the vertex located at [tex](-1,-4)[/tex].

The focus is located at [tex](h, k+p)[/tex] and the directrix is located at [tex]y=k-p[/tex]. For this, we need to find p which we can find with the equation [tex]a =\frac{1}{4p}[/tex]. Substituting the value of “a” into the equation, we get [tex]\frac{1}{8} = \frac{1}{4p}[/tex]. We can cross-multiply to get the equation [tex]4p=8[/tex]. Dividing by 4 on both sides, we get [tex]p=2[/tex]. Now we can find the focus and directrix.

The focus is located at [tex](-1, [-4+2])[/tex] or [tex](-1,-2)[/tex] and the directrix is represented by the equation [tex]y=(-4-2)[/tex] or [tex]y=-6[/tex].

Hopefully this answered your question this time, and with this, I hope you are able to solve it without help the next time

Answer:

I=$48

t=2 years

r=8%

Principal=(I×100)/(t×r)

($48×100)/(2×8)

$4800/16

$300

Answer: Phillip has 262 more cards than Nicholas

Step-by-step explanation:

Since we are looking for how many more cards Phillip has compared to Nicholas we can subtract Nicholas' amount from Phillip's amount to see how much more he has.

721-459=262

Taking a simple difference, we can see that Phillip has _262_

more cards than Nicholas.

To find this, we need to take the difference between the number of cards that Philip has and the number of cards that Nicholas has, so we just need to solve a subtraction:

Phillip's cards - Nicholas' cards

Where:

Phillip's cards = 721

Nicholas' cards = 459

Then the difference is:

721 - 459 = 262

So we can see that Phillip has 262 more cards than Nicholas.

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The function which has range (2, infinity) from the provided function is y = 5ˣ +2. Option 4 is correct.

Range of a function is the set of all the possible output values which are valid for that function.

The function whose range is (2, ∞) has to be find out.

The first function given in the problem is,

[tex]y=2^x[/tex]

This function has the periodic function with period of logarithmic function and the range of this function is all the real number. This is not the correct option.

The second function given in the problem is,

[tex]y=2(5)^x[/tex]

This function has the periodic function with period of logarithmic function and the range of this function is all the real number. This is not the correct option.

The fourth function given in the problem is,

[tex]y=(5)^x+2[/tex]

This function is translated 5 units up to the function 5ˣ which has the range (0,∞).

Thus, the range of this function is (2, ∞).

Hence, the function which has range (2, infinity) from the provided function is y = 5ˣ +2. Option 4 is correct.

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Answer:

D ) y = 5^x + 2

Step-by-step explanation:

Here ya go ladies and gentlemen

Answer:

31 Centimeters

Step-by-step explanation:

Since a square has 4 equal sides, each side will be the same in measurement. Therefore, we take our total (124 centimeters) and divide it into 4.

124 / 4 = 31

Answer:

an = 30000 * 2^(n-1)

Step-by-step explanation:

The explicit rule of Mr. Blue 's salary

is an = 30000 * 2^(n-1)

How to determine the explicit

How to determine the explicitformula?

Mr. Blue's salary is a geometric sequence

with the following parameters:

First term, a1 = 30000

Rate, r = 2

The explicit rule is calculated as:

an = a1* r^(n-1)

This gives

an = 30000 * 2^(n-1)

Answer:

45%

Step-by-step explanation:

In Tanvi's simulation, landing on a white section represents a chocolate with a caramel filling. Tanvi records 20 trials, and the spinner lands on at least 1 white section in 9 of them. So, the probability that at least 1 of the chocolates has a caramel filling is

9

20

Convert

9

20

to a percent. Write an equivalent fraction with 100 as the denominator.

9

20

=

95

205

=

45

100

Based on Tanvi's results, the probability that at least 1 of the chocolates has a caramel filling is 45%.

Answer:

4.5 meters high

Step-by-step explanation:

3.6 + 2.25 = 5.85. 5.85 divided by 1.3 is 4.5.

[tex]~~~~~2x^2 -3 =0\\\\\implies 2x^2 = 3\\\\\implies x^2 =\dfrac 32\\\\\implies x = \pm\sqrt{\dfrac 32 }[/tex]

Answer:

The answer is B :)

Step-by-step explanation:

The closed dot means less than or equal to. That is why b is correct :)

Have an amazing day!!

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Answer:

no a, is the answer not b. salamat po