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3 years ago

ABC has been translated 5 units to the right, as shown in the diagram. What is the length of A1B1?

Mathematics

2 answers:

kolezko [41]3 years ago

7 0

Answer:

Step-by-step explanation:

If the triangle is translated ANY amount of units ANYWHERE, the length of each segment AND the angles will ALL be the same.

Why?

Because if you translate something, you are only moving it somewhere else. You aren't stretching the shape or making any modifications. You are simply moving it, and that will only change the coordinates the points will be at.

fgiga [73]3 years ago

7 0

Answer:

Step-by-step explanation:

During a Translation the lenghts of the sides don't change

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The function f(x) = 1/2 x + 2 is changed to f(x) = − 1/2 x + 2. Which describes the effect of the change on the graph of the ori

Dimas [21]

Answer:

Step-by-step explanation:

This is because the line was growing starting form the y-int=2.

Now the line is decreasing starting from y-int=2.

3 0

3 years ago

how do you do this? i don't need it solved i just don't know how to do it. i know the note on the side says how to but i'm still

olchik [2.2K]

Answer:

Perimeter of triangle J= 18.0 units (3 s.f.)

Perimeter of triangle K= 19.0 units (3 s.f.)

Step-by-step explanation:

The length of each side of the triangle can be found using the distance formula below:

$\boxed{d= \sqrt{(y1- y2)^{2} + (x1 - x2)^{2} } }$

Please see the attached pictures for full solution.

5 0

3 years ago

Assume the random variable X is normally distributed with mean mu equals 50 and standard deviation sigma equals 7. Compute the p

drek231 [11]

Answer:

The probability that X is less than 42 is 0.1271.

Step-by-step explanation:

The random variable X follows a Normal distribution.

The mean and standard deviation are:

E (X) = μ = 50.

SD (X) = σ = 7.

A normal distribution is continuous probability distribution.

The Normal probability distribution with mean µ and standard deviation σ is given by,

$f_{X}(\mu, \sigma)=\frac{1}{\sigma\sqrt{2\pi}}e^{-(x-\mu)^{2}/2\sigma^{2}};\ -\infty$

To compute the probability of a Normal random variable we first standardize the raw score.

The raw scores are standardized using the formula:

$z=\frac{x-\mu}{\sigma}$

These standardized scores are known as z-scores and they follow normal distribution with mean 0 and standard deviation 1.

Compute the probability of (X < 42) as follows:

$P(X$

*Use a z-table for the probability.

Thus, the probability that X is less than 42 is 0.1271.

The normal curve is shown below.

6 0

3 years ago

The sides of an isosceles triangle are 8, 8, and 3. The measure of the vertex angle to the nearest degree is _____°. 44 17 31 22

Doss [256]

We may draw a vertical that bisects the vertex angle and the shorter side of the triangle, to form a right-triangle with the measurements:
hypotenuse = 8
length = 1.5

We may then apply:
sin(∅) = P / H
sin(∅) = 1.5 / 8
∅ = 10.8 ≈ 11°

This is half of the vertex angle, so the vertex angle is:
11 * 2 = 22°

4 0

3 years ago

Read 2 more answers

What is the equation of the line that passes through the point (6, 8) and has a slope 1/2

Korvikt [17]

Answer:

y=1/2x+5

Step-by-step explanation:

Plug it into the formula for a point and a slope.

(y-(y(subscript 1)))=(m)(x-(x(subscript 1)))

Y-8=1/2(x-6)

Then multiply the 1/2 to the x and -6. After you do that, move everything so that it has y by itself on the left. Your ending should be y=1/2x+5.

7 0

2 years ago