Find the vector that translate A (-2, 7) to A' (6,4) *

Mathematics

2 answers:

GrogVix [38]2 years ago

7 0

Answer:

Step-by-step explanation:

Nataly_w [17]2 years ago

6 0

A vector translation translates the figure on the coordinate from its current location to another

The vector that translates A(-2, 7) to A'(6, 4) is $\dbinom{8}{-3}$

The given preimage of the vector = A(-2, 7)

The given image of the vector = A'(6, 4)

Required: To find the vector that translates A(-2, 7) to A'(6, 4)

Solution:

The vector are given in component form, therefore, the vector, ΔA, that translates (moves from) vector A(-2, 7) to A'(6, 4) is the difference between the two vectors which is given as follows;

ΔA = A' - A = ((x' - x), (y' - y)

∴ ΔA = ((6 - (-2)), (4 - 7))

ΔA = (8, -3)

In vector form, vector that translates A to A' is $\dbinom{8}{-3}$

Learn more about vector translation here:

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The reasonable estimate of the current customer price index is 195. The option B is the correct option.

<h3>Customer price index</h3>

Customer price index is the price index which measures the weight average of price of basket of customers goods or services.

It can be given as,

$\rm CPI_t=\dfrac{C_t}{C_0}\times 100$

Here $\rm C_t$ is the cost of market basket in current period and $\rm C_0$ is the cost of market basket in the base period.

Cost of market basket in current period is

$\rm C_t=15.66+119.75+23.99+37.50\\\\C_t=196.9$

Cost of market basket in 1983 is,

$\rm C_0=8.85+71.25+13.95+22.7\\\\C_0=116.8$

Substitute all the values in the formula

$\rm CPI_t=\dfrac{C_t}{C_0}\times 100\\\\\rm CPI_t=\dfrac{196.9}{116.8}\times 100\\\\\rm CPI_t=1.685\times 100 \\\\ CPI_t=168.5\\\\\rm CPI_t= 170 \ \rm approx$