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2 years ago

Triangle ABCis rotated 90° clockwise around the origin to get

Mathematics

1 answer:

Elanso [62]2 years ago

7 0

Answer:

The distance A’C’ is 4.47 units

Step-by-step explanation:

Before we go on, we need to get the appropriate transformation

Mathematically, we have a 90 degrees clockwise rotation yielding the following;

(x,y) to (-y,x)

A is (-4,1)

C is (-2,5)

By transforming, we have

A’( -1,-4)

C’ (-5,-2)

To get the magnitude of the line segment, we are going to use the distance formula between points

We have this as;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(-5-(-1))^2 + (-2-(-4))^2

D = √(-4)^2 + (2)^2

D = √(16 + 4)

D = √20

D = 4.47 units

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Someone pwease help mwe

Mariana [72]

Answer:

0.06

Step-by-step explanation:

ok 1 tenth and 1 sixth are our equasions so lets conver then to desimals and lets start with 1 tenth so we devide 1/10 is 0.1 and now for 1 sixth is 0.6 so now we multiply the two and get 0.06

4 0

2 years ago

What is the distance between the two points (-8,-6) and (-2,4)?

MAVERICK [17]

Answer:

$\sqrt{136}$ = 11.66 units

Step-by-step explanation:

distance between 2 points (a,b) and (c,d) = $\sqrt{(a^{2}-c^{2} ) +(b^{2}-d^{2} ) }$

= $\sqrt{((-8)^{2}-(-2)^{2} ) + ((-6)^{2}-4^{2}) }$

= $\sqrt{136}$

= 11.66 units

6 0

3 years ago

When y = 35,x = 2.5. If the value of y varies directly with x what is the value of y when the value of xis 3.25

leonid [27]

Answer:

The value of y would be 45.5

Step-by-step explanation:

To solve this problem, start with the base form of direct variation.

y = kx

Now we can use our original values to model the equation and find k.

35 = k(2.5)

14 = k

Now we can model the equation as:

y = 14x

Now to find y, when x = 3.25, simply put 3.25 into the equation.

y = 14(3.25)

y = 45.5

8 0

3 years ago

Amanda teaches the art of quilling to four students these students each teach the art of quilling to four other students if this

il63 [147K]

Answer:

341

Step-by-step explanation:

The number of people who know the art of quilting in each successive generation is

1, 4, 16, …

These numbers represent a geometric sequence where each term has the form

aₙ = a₁rⁿ⁻¹

In your sequence, a₁ = 1 and r = 4.

Then, the formula for your sequence is

aₙ = 4ⁿ⁻¹

Sum over five generations

The formula for the sum of the first n terms of a geometric series is

Sum = a₁[(1 - rⁿ)/(1 - r)]

Sum = 1[(1 - 4⁵)/(1 - 4)

= (1 - 1024)/(-3)

= -1023/-3

= 341

If the process continues for five generations, 341 people will know the art of quilting.

4 0

3 years ago

Read 2 more answers

Suppose x is a normally distributed random variable with a mean of 12 and a standard deviation of 3. The probability that x equa

Contact [7]

Answer:

The probability that x equals 19.62 is 0

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In the normal probability distribution, the probability of an exact value, that is, P(X = x) is 0. Thus, the probability that x equals 19.62 is 0

8 0

2 years ago