MATHEMATICS HIGH SCHOOL

If a translation of T-3,-8 (x,y) is applied to square ABCD, what is the y-coordinate of B'?-12

-8

-6

-2

Answers

Answer 1

Answer:

Answer:

-6

Step-by-step explanation:

The y-coordinate of B is 2. Adding -8 to it makes the y-coordinate of B' be -6.

2 -8 = -6

Answer 2

Answer:

Answer:

-6

Step-by-step explanation:

The given translation is

$T_(-3,-8) (x,y)$

Which means that the original figure will be moved 3 units to the right and 8 units downwards.

Remember, when it comes to translations, when we subtract units to $x$ that means the figure will be moved rightwards. And if we subtract units from $y$ , that means the figure will be moved downwards.

So, the original figure has as vertex B(1,2). If we apply the transformation to its vertical cordinate $y=2$ , we would have

$y'=2-8=-6$

Therefore, the right answer is the third choice -6.

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Determine whether the sequence converges or diverges. If it converges, give the limit. 48, 8, four divided by three, two divided by nine, ...

Answers

The sequence is decreasing so it is r<1, therefore it is converging

This is the formula for how to find the sum/limit of the convergence (or how to find a infinite geometric sequence): a1/(1-r)

a1=48

r=8/48=.167

Verifying r:

a1/r=48*.167=8.016=8

a1/r^2=48*.167^2=1.338672=1.34

4/3=1.33

(close enough)

Putting it into equation:

a1/(1-r)=48/(1-.167)=48/.833=57.62304922

Answer Choices:

A. Converges; 288/5

B. Converges; 0

C. Diverges

D. Converges; -12432

288/5=57.6

ANSWER IS A. Converges; 288/5

48, 8 , 4/3,2/9

note that each term after the first one is calculated by multiplying the previous on by 1/6. The sequence converges

Limit = a1 / (1 -r) = 48 / ( 1- 1/6) = 57.6 or 57 3/5

What is the value of x in the equation 2x+7=1

Answers

2x + 7 = 1

Subtract 7 on both sides

2x = 1 - 7

2x = -6

Divide both sides by 2

x = -6/2

x = -3

Your answer is $\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\bf{x=-3}}}}}}}}}}}}}}}}}}}$

2x+7=1 =>2x=1-7 => 2x=-6 => x= -6\2 => x=-3
Have a nice day!! ^^

A survey shows that the probability that an employee gets placed in a suitable job is 0.65. A psychometric test consultant claims that he could help place any employee in a suitable job based on the result of a psychometric test. The test has an accuracy rate of 70%. An employee working in a particular company takes the test. The probability that the employee is in the right job and the test predicts that he is in the wrong job is ______. The probability that the employee is in the wrong job and the test predicts that he is in the right job is _______.

Answers

The probability that he is in the right job is 0.65, so the probability he is in the wrong job is 0.35, and similarly, the probability that the test is inaccurate is 0.3. Thus, the probability that someone is in the right job and the test is then wrong is 0.65*0.3=.195, and the probability that someone is in the wrong job and the test is wrong is 0.35*.3=.105.

Answer:

.105

Step-by-step explanation:

Is 2.6 bigger than 2.661

Answers

2.6 = 2.600
So, 2.6 is not bigger than 2.661

No because 2.6 is the same as writing 2.60. Know you know that 2.661 is bigger. (2.60 < 2.661) Hope this helps! :D

If ABC = DEC, angle B = 2x, angle C = 48°, and angle D = 74°. x=?

Answers

Answer:

37°

Step-by-step explanation:

angle B = angle D (alternate angle)

2X = 74°

X = 37°

Answer:

Step-by-step explanation:

right in acellus

The function f(t) = 4t^2 − 8t + 6 shows the height from the ground f(t), in meters, of a roller coaster car at different times t. Write f(t) in the vertex form a(x − h)^2 + k, where a, h, and k are integers, and interpret the vertex of f(t).A - f(t) = 4(t − 1)^2 + 3; the minimum height of the roller coaster is 3 meters from the ground
B - f(t) = 4(t − 1)^2 + 3; the minimum height of the roller coaster is 1 meter from the ground
C - f(t) = 4(t − 1)^2 + 2; the minimum height of the roller coaster is 2 meters from the ground
D - f(t) = 4(t − 1)^2 + 2; the minimum height of the roller coaster is 1 meter from the ground

Answers

Answer:

C - f(t) = 4(t − 1)^2 + 2; the minimum height of the roller coaster is 2 meters from the ground.

Step-by-step explanation:

Here we're asked to rewrite the given equation f(t) = 4t^2 − 8t + 6 in the form f(t) = a(t - h)^2 + k (which is known as the "vertex form of the equation of a parabola.") Here (h, k) is the vertex and a is a scale factor.

Let's begin by factoring 4 out of all three terms:

f(t) = 4 [ t^2 - 2t + 6/4 ]

Next, we must "complete the square" of t^2 - 2t + 6/4; in other words, we must re-write this expression in the form (t - h)^2 + k.

(To be continued)

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