Which shows the pre-image of quadrilateral W'X'Y'Z' before the figure was rotated according to the rule (x,y) → (-x, -y)?
у
6
5
Z
Y'
4
3
X
2
1
х
1. 2. 3. 4. 5. 6
6.-5.4-3-2-11
-2
5
LE
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Answer:

see explanation

Step-by-step explanation:

1

Given

2x² - 16 = 0 ( add 16 to both sides )

2x² = 16 ( divide both sides by 2 )

x² = 8 ( take the square root of both sides )

x = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex]

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

2

Given

- 5x² + 9 = 0 ( subtract 9 from both sides )

- 5x² = - 9 ( divide both sides by - 5 )

x² = [tex]\frac{9}{5}[/tex] ( take the square root of both sides )

x = ± [tex]\sqrt{\frac{9}{5} }[/tex] = ± [tex]\frac{3}{\sqrt{5} }[/tex]

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

3

Given

6x² - 15 = 27 ( add 15 to both sides )

6x² = 42 ( divide both sides by 6 )

x² = 7 ( take the square root of both sides )

x = ± [tex]\sqrt{7}[/tex]

Answer:

√ 2 or in decimal form 1.4

Have a nice day! :)

Step-by-step explanation:

-12 +7

=-5 .

Therefore, 5-19-5

= -19.

In all, -12+7 can not be 5-19 or 19

Answer:

Step-by-step explanation:

2:3  = 6: ___

[tex]\frac{2*3}{3*3}=\frac{6}{9}[/tex]

2:3 = 6 :_9___

Answer:2:3=6:9

Step-by-step explanation:

2×3/3×3=6/9

2:3=6:9 !!!!!!!!

Answer:

5[tex]\frac{3}{50}[/tex]

Step-by-step explanation:

0.06 = 6/100 = 3/50

Answer:

5 [tex]\frac{3}{50}[/tex]

Step-by-step explanation:

Answer:

36.70

Hope this helps!

Answer:

The estimation of this equation is the number 33

Step-by-step explanation:

First Estimate is defined as to roughly calculate or judge the value of a number or a quantity. In this case we are roughly calculating a number or otherwise known as a fraction. So 3 3/8 would be Rounded to the whole number 3 , due to the fact that the 3/8 is less then the 4/8 , and the 10 13/15 would be estimated to 11 , due to the fact that is more than the 7.5/ 15 . So, 3 times 11 would be the estimate of 33.

Answer: None, 0 real roots

Step-by-step explanation:

To find the discriminant, you simply do [tex]b^2 - 4ac[/tex]

b = 2

a = -1

c = -5

[tex]2^2-4(-1)(-5) = 4 - 20 = -16[/tex]

iff x > 0: 2 roots

iff x < 0: none

iff x = 0: 1 root

Actual Explanation and Intuition behind it:

If the answer is negative, you cant take the square root of the number. Because no matter what, you will always strive for a positive number. Unless you implement calculus, but that is way beyond a middle schoolers level

If the answer is postive, there will be 2 roots because you can make x itself equal to a negative number because when you square it, it will be positive. So the positive and negative value will be an acceptable answer

If the answer is 0, then youre basically doing the square root of 0. Thats equal to 0

The discriminant formula itself comes straight from the quadratic formula, which you should memorize because it is extremely useful.[tex]\frac{-b (+/-) \sqrt{b^2-4ac} }{2a}[/tex]

Answer:

no

Step-by-step explanation:

to see, plug in -5 for x and find your y outcome.

y = 7(-5) -5

y = -35 - 5

y = -40

since y does not equal 0, (-5,0) is not a solution for the equation.

Answer:

no

Step-by-step explanation:

y = 7x − 5?

Substitute the point into the equation

0 = 7(-5) -5

0 = -35-5

0 = -40

This is not true so (-5,0) is not a solution

Answer:

  2/3

Step-by-step explanation:

Your model may show you that 1/4 = 2/8. Of course that will be 2 out of 3 of the 3/8 making up the other fraction of the same whole.

  1/4 = 2/3 of the fraction 3/8

Answer:

22

Step-by-step explanation:

5(5) -3

25-3

22

Answer:

the answer is 22.

Step-by-step explanation:

Answer: 7bb +19 ll ≥210

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

The product of the number of hours he works babysitting (bb) and the amount he earns per hour (7); plus The product of the number of hours he works lifeguarding (ll) and the amount he earns per hour 19; must be higher or equal to the amount he must earn this week (210)

Mathematically speaking:

7 bb + 19 ll ≥210

Answer:

12 + 6 + 15 = 12 + 15 + 6

Hope this helps :D

y = v₀t - gt²/2

For y=0 (back to where we started),

0 = t(v₀ - gt/2)

t=0 (which we knew) or v₀ - gt/2 = 0

v₀ = gt/2

2v₀ = gt

t = 2v₀/g

t = 2 (35.7 m/s) / (9.8 m/s/s) = 7.3 seconds

Answer: 7.3 seconds

Answer: B

Step-by-step explanation:

Given that the scatter plot with points going down from about zero comma 4 to the right to about 7 comma zero. That is, (0 , 4 ) to ( 7, 0 )

Let's first find the slope M

M = (0 - 4)/( 7 - 0)

M = - 4/7

Since the line of best fit is linear, let adopt general equation of straight line

Y = MX + C

As the line passes through ( 0 , 4 )

Substitutes for Y and X

4 = - 4/7 (0) + C

C = 4

Where C = intercept

The equation for the line of best fit to represent the data will be:

Y = - 4/7 X + 4

Y equals negative two thirds times x plus 4

Answer:

It is B.

Step-by-step explanation:

I took the test...  :)

The three consecutive odd integers : 7, 9, 11

Further explanation

Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.

The main composition of algebraic expressions are:

• 1. phrases

algebraic forms separated by arithmetic operations

consists of one phrase (monomial) to many phrases (polynomial)

• 2. variable

is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.

• 3. constants

is a fixed value, can be a number

• 4. arithmetic operations

+ , - , : , x

integer number: numbers consist of positive, negative and 0 numbers

Odd number: Any integer that cannot be divided by 2.

The last digit is 1, 3, 5, 7 or 9

Because it is divided by 2, the difference between the two numbers is also 2 for consecutive numbers

Then consecutive odd numbers can be symbolized:

x, x + 2, x + 4, x + 6, x + 8, etc.

For example, 3 consecutive odd numbers are:

x + 4, x + 6, x + 8

the sum of the largest and twice the smallest is 25, can be expressed in terms of arithmetic operations:

(x + 8) + 2 (x + 4) = 25

So the solution:

x + 8 + 2x + 8 = 25

3x + 16 = 25

3x = 9

x = 3

So the smallest number is:

= x + 4

= 3 + 4

= 7

or

Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest integer, then which equation could be used to solve the problem? 2x + x + 2 = 25 2x + x + 4 = 25 2x + 2x + 4 = 25.

Answer:

The three integers are 7, 9, 11.

The equation is: 2x + x + 4 = 25

Step-by-step explanation:

The problem asks to use x to represent the smallest of the three integers.

Odd integers are 2 units apart, such as 1, 3, 5, 7. The difference between consecutive odd integers is 2.

Since the smallest odd integer is x, then the next larger one is x + 2. The largest odd integer is x + 2 + 2, or x + 4.

The three odd integers are

x, x + 2, x + 4

The problem then states "the sum of the largest and twice the smallest is 25."

The largest one is x + 4.

Twice the smallest is 2x.

Their sum is 2x + x + 4.

That sum equals 25.

2x + x + 4 = 25

3x + 4 = 25

3x = 21

x = 7

The smallest integer is 7.

Then x + 2 = 7 + 2 = 9,

and x + 4 = 7 + 4 = 11.

Answer: The three integers are 7, 9, 11.

The equation is: 2x + x + 4 = 25

Answer:

30 minutes

Step-by-step explanation:

Dina took 2 hours to finish the path, since she biked at 10 km/h.

This means Masha was biking at 8 km/h because in 2 hours she only biked 16 km.

To bike 4 more km, it will take her 30 minutes or 0.5 of an hour.

Answer:

3. 16a+24b

Step-by-step explanation:

I know this because I grouped the eqatiobs together

Answer:

#3. 16a + 24b

Step-by-step explanation:

P= 2( length plus width).

Answer:

14°

Step-by-step explanation:

→Since the temperature is a negative number, for the degree to reach 0, you must add with the same number.

→The temperature is -14, so to get it to 0, you add 14:

-14 + 14 = 0

Answer: 14 degrees

Step-by-step explanation:

-14 + x = 0

Answer:

x = 12.52°

Step-by-step explanation:

The illustration forms a right angle triangle . The right angle triangle formed has a height of 200 ft and a base of 900 ft.

The opposite side of the triangle is 200 ft while the adjacent side of the triangle is 900 ft.

Using tangential ratio we can find the angle of depression. Therefore,

Let

x = angle of depression

tan x = opposite/adjacent

opposite = 200 ft

adjacent = 900 ft

tan x = 200/900

tan x = 2/9

x = tan⁻¹ 2/9

x = tan⁻¹ 0.222

x = 12.5166739144

x = 12.52°

Answer:

The answer is x = 12.84°

Step-by-step explanation: I took the test

Answer:

35.06

Step-by-step explanation:

So you  have to multiply 27.50 by 0.075 to find the sales tax.

2.0625 ≈ 2.06

If the tip is off the original price, you multiply 27.50 by 0.2.

5.5

The whole meal is 27.50 + 5.50 + 2.06 = 35.06

Total cost of meal is $35.06.

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Given that,

The bill amount = $27.50

tax amount = 7.5%

tip amount = 20%

Now 7.5 % of bill amount

=  27.50x 7.5/100

=  27.50 x 0.075

=2.0625

≈ 2.06

Now 20% of bill amount is

= 27.50 x 20/100

= 27.50x0.2

= 5.5

Now,

The total cost

=  27.50 + 5.50 + 2.06

= 35.06

Hence $35.06 is the total cost.

Learn more about the percentage visit:

https://brainly.com/question/24877689

#SPJ3

Answer:

16

Step-by-step explanation:

The angle in an equilateral triangle is given as:

3x + 12

The angle is an equilateral triangle is 60°. Therefore:

3x + 12 = 60

=> 3x = 60 - 12 = 48

x = 48 / 3 = 16

x is 16

Answer:

yes

Step-by-step explanation:

Yes, since 12 is multiplied by (-4)^-1 every time, and the definition of geometric sequence is that  the first term has to be multiplied by a certain other constant number (referred to as common ratio (r)). The formula for a geometric sequence is An=A1R^(n-1)

Answer:

20

Step-by-step explanation:

Let x represent the number of movies bought/downloaded

3x + 10 = 2x +30

Subtract 2x and 10 from both sides

x = 20

Answer:

3x + 10 = 2x + 30

Step-by-step explanation:

Let the number of movies downloaded = x

Movie time:

3x + 10

Movie city:

2x +30

3x + 10 = 2x + 30

3x -2x = 30 - 10

x = 20

Answer:

60%

Step-by-step explanation:

30/100×200=60%

exactly 60 that's the answer

Answer : The value of x and y is 8 and 10 respectively.

Step-by-step explanation :

As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.

From the given figure we conclude that:

[tex]5x-y+150=180[/tex]       ...........(1)

[tex]5x-y=180-150[/tex]

[tex]5x-y=30[/tex]      ............(2)

[tex]5x+y+130=180[/tex]       ...........(3)

[tex]5x+y=180-130[/tex]

[tex]5x+y=50[/tex]        ...........(4)

Now we adding equation 2 and 4, we get the value of x.

[tex]5x-y+5x+y=30+50[/tex]

[tex]10x=80[/tex]

[tex]x=8[/tex]

Now we are putting the value of x in 4, we get the value of y.

[tex]5x+y=50[/tex]

[tex]5(8)+y=50[/tex]

[tex]y=50-40[/tex]

[tex]y=10[/tex]

Therefore, the value of x and y is 8 and 10 respectively.