On a coordinate plane, a square has points A (negative 5, 2), B (1, 2), C (negative 4, 1), and D (negative 5, negative 4). If a translation of is applied to square ABCD, what is the y-coordinate of B'?

Answer:

.

Step-by-step explanation:

Answer:

y = 1/2x+1

Step-by-step explanation:

Slope = Δy/Δx

The difference is y increases by 1 and difference in x increases by 2. So the slope is 1/2.

Slope-intercept form: y=mx+b

We take point (0,1) and input into this equation.

1= 1/2×0 +b

1 = b

Answer:

6 meters

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle is always greater than the length of the third side. And this MUST be true for all the combinations

The only length where this is true is 6

3+5 is greater than 6

2+6 is greater than 5

5+6 is greater than 3

Answer:

8 dimes

7 quarters

Step-by-step explanation:

Let number of

Dimes = x ; quarters = y

10x + 25y = 255 ___(1)

25x + 10y = 270 ___(2)

From (1)

10x = 255 - 25y

x = (255 - 25y) / 10

x = 25.5 - 2.5y

Put x = 25.5 - 2.5y in (2)

25(25.5 - 2.5y) + 10y = 270

637.5 - 62.5y + 10y = 270

-52.5y = - 367.5

y = 367.5 / 52.5

y = 7

x = 25.5 - 2.5(7)

x = 25.5 - 17.5

x = 8

Answer: (2, 8)

Since both equations in the system are equal to y, substitute -4x + 16 for y in the quadratic equation, and then solve for x as follows.

Next, substitute x = 2 into either of the original equations to find the y-value of the solution to the system of equations.

Therefore, the solution to the given system of equations is (2,8).

The solution of the system of equations will be;

⇒ x = 2

⇒ y = 8

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equations are,

⇒ y = - 2x² + 4x + 8

⇒ y = - 4x + 16

Now,

Since, The system of equations are,

⇒ y = - 2x² + 4x + 8  ..(i)

⇒ y = - 4x + 16     ..(ii)

Substitute the value of y from (ii) in equation (i), we get;

⇒ - 4x + 16 = - 2x² + 4x + 8

⇒ - 2x² + 4x + 8 + 4x - 16 = 0

⇒ - 2x² + 8x - 8 = 0

⇒ - x² + 4x - 4 = 0

⇒ x² - 4x + 4 = 0

⇒ x = - (-4) ± √ (-4)² - 4×1×4 / 2×1

⇒ x = 4 ± √16 - 16 / 2

⇒ x = 4 / 2

⇒ x = 2

And, y = - 4x + 16

⇒ y = - 4 × 2 + 16

⇒ y = - 8 + 16

⇒ y = 8

Thus, The solution of the system of equations will be;

⇒ x = 2

⇒ y = 8

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Answer:

Z= 180 X = 95   y= 147

Step-by-step explanation:

Z=180 because it is a line and when it is a line it = 180 degrees

for X you want to first find the angle of the other triangle and when you do you subtract that # from 180 because those 2 angles make a line

to find that angle next to X is...

180- (the other 2 angles in the triangle)

180- 45- 50

180-95

85 degrees

now do

180-85

95 degrees   -- this is what X =

now you want to find the angle that is left in one triangle

so do

180- 95- 52

180- 147

33 degrees -- the angle that was missing

to find Y do...

180- 33

147 degrees -- this is what Y =

Answer:

I personally find it easier to put my equation in words before actually writing the equation, so for this particular situation, the equation would sound like this :

→ The cost (C) is equal to 45$ a day (d) plus 25$!

Now that your equation is put into words, all that you have to do is write down the equation without the words :

→ C = (45d) + 25

If you want to make sure that your equation is correct, you can try it out, say for instance you want to rent a car for a week, so for a total of 7 days, and you want to see how much it would cost :

d = 7 (in this particular situation)

C = (45 × 7) +25

↓

C = 315 + 25

↓

C = 340

→ So it would cost 340$ to rent a car for a week!

credit goes to naomi479xx for solving this answer.

Answer:

(a) The probability that more than three arrive in one hour is approximately 0.018988

(b) The probability that no interval contains more than 3 arrivals in 30 separate one-hour intervals is approximately 0.56264

(c) The length of time such that the probability of no arrival is 0.1 is approximately 2.30259 hours

Step-by-step explanation:

The distribution of the arrival time of a small aircraft = Exponential distribution

The mean arrival time, μ = 1 hour

The pdf of a exponential distribution, f(x) = λ·e^(-λ·x)

The mean, μ = 1/λ

∴ 1 = 1/λ

λ = 1 hour

∴ For the exponential distribution, f(x) = 1·e^(-x)

(a) The Poisson probability is given as follows;

[tex]P(X = k) = \dfrac{\lambda^k \times e^{-k}}{k!}[/tex]

The probability for more than 3 is given as follows;

[tex]P(X > 3) = 1 - \dfrac{1^0 \times e^{-1}}{0!} - \dfrac{1^1 \times e^{-1}}{1!} - \dfrac{1^2 \times e^{-1}}{2!} - \dfrac{1^3 \times e^{-1}}{3!} \approx 0.018988[/tex]

(b) P(X ≤ 3) for 30 1 hour intervals = P(X ≤ 3)³⁰ = (1 - 0.018988)³⁰ ≈ 0.56264

(c) When the probability that no arrival occurs is 0.1, we have;

0.1 P(X > x) = f(x) = 1·e^(-x) = e^(-x)

-x·ln(e) = ln(0.1)

∴ x = -㏑(0.1) ≈ 2.30259

The length of time such that the probability that no arrival occur during the interval is 0.1, x ≈ 2.30259 hours.

Answer:

D

Step-by-step explanation:

because i see it xD but like > 15 mean you going to the left soooo and u got to satrt at 15

Answer:

22

Step-by-step explanation:

Add al the digits (198) then divide by how many digits there are (9)

198÷9=22

Answer

this is a Parallelogram or a Polygon

Step-by-step explanation:

most likey the polygon

as i see it, it looks like a polygon

Answer:

True

Step-by-step explanation:

(21+5) >1

Simplify 21+5

26>1

Therefore the solution is

True

Helped by none other than the #Queen herself #DRIPPQUEENMO

Answer:

15per 6 hours

Step-by-step explanation:

2.5x2=5x3=15

Answer:

semiannually = $1609.77

monthly = $1128.71

Step-by-step explanation:

Answer:

(-4,2)

Step-by-step explanation:

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The ordered pair that describes a point that is located 4 units to the left of the origin and 2 units below the x-axis is (-4, -2)

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The point is located 4 units to the left of the origin and 2 units below the

x-axis.

4 units to the left of the origin.

This means,

x = -4

2 units below the x-axis.

This means,

y = -2

The coordinate in the form of ordered pair is (-4, -2).

Thus,

The ordered pair that describes a point that is located 4 units to the left of the origin and 2 units below the x-axis is (-4, -2)

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Answer: 75%

15/60 wore orange shirts

45/60 didn’t

45/60 = 0.75 = 75%

Answer: x=-3 can you mark me brainlyest thanks

Step-by-step explanation:

3(x-6)=2x(x+3)

3x-18=3x+6x

3x-18=9x

-3x      -3x

-18=6x

__   __

6      6

x=-3

Answer:

3 exams

Step-by-step explanation:

[tex]2 \times \frac{1}{4} = \frac{9}{4} [/tex]

[tex] \frac{9}{4} \div 34 = \frac{3}{1} [/tex]

3/1 = 3

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

The formula for dividing fractions.

= a/b ÷ c/d

= ad/bc

The number of subjects studied for the exam is 3 subjects

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

On Saturday:

The number of hours Kiana studied = 2 ¼ hours

This can be written as,

= 2 (1/4)

= 9/4 hours _____(A)

The number of hours studied for each subject.

= ¾ hour ______(B)

The formula for dividing fractions.

= a/b ÷ c/d

= ad/bc

Now,

From (A) and (B) we get,

The number of subjects.

= 9/4 ÷ 3/4

= (9 x 4) / (4 x 3)

= 3 subjects

Thus,

The number of subjects studied for the exam is 3 subjects

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Answer:

y = 1

Step-by-step explanation:

Answer:

40 square feet

Step-by-step explanation:

I gotcha bro

4 x 12 = 48

48 - 3 x 2 - 1 x 2 = 48 - 6 - 2 = 40

Answer:

Step-by-step explanation:

Yeah the equation is change in y over change in x; change in is represented with the delta sign, so y2-y1/x2-x1

Answer:

65ft

Step-by-step explanation:

Pythagoreom therom

Answer:

the answer is 15.

Step-by-step explanation:

you find the answer by turning 25% into 0.25 then you multiple it by 60, this results in 15.

Answer:

a ≤ −4 or a ≥ 8

Step-by-step explanation:

Hope This Helps!

Answer:

cosA = 8/17

Step-by-step explanation:

cos =  adjacent/hypotenuse

The number that is adjacent to angle A is 24 and the hypotenuse is 51

Plug the numbers into the cosine equation, which would look like:

Cos A = 24/51

You can simplify the fraction by dividing it by 3

So Cos A = 8/17 or 0.89130173...

Answer:

64x^6

Step-by-step explanation:

4x^2 x 4x^2 x 4x^2

16x^4 x 4x^2

64x^6