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3 years ago

Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.

1 answer:

riadik2000 [5.3K]3 years ago

7 0

<span>First of all to calculate the distance between two points we can use distance formula

d=Square Root [(x2-x1)^2 + (y2-y1)^2]

Now substitute the given points p(x1,y1) and q(x2,y2)in above distance formula

The values are X2=3, X1=8and Y2=8and Y1=2.

After Substituting the values

d=Square Root[(-5)^2+(6)^2]

d=Square Root(25+36]

d=Square Root[61]

d=7.8

7.8 is the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.</span>

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In the coordinate plane, the point A, 4− 2 is translated to the point A′, 1− 5. Under the same translation, the points B, 7− 4 a

Inga [223]

Answer:

The coordinates of B' and C' are $B'(x,y) = (4, -7)$ and $C'(x,y) = (-1, -8)$ , respectively.

Step-by-step explanation:

From the Linear Algebra, we define the translation of a given point as:

$O'(x,y) = O(x,y) + T(x,y)$ (1)

Where:

$O(x,y)$ - Original point, dimensionless.

$T(x,y)$ - Translation vector, dimensionless.

$O'(x,y)$ - Translated point, dimensionless.

If we know that $A'(x,y) = (1, -5)$ and $A(x,y) = (4,-2)$ , then the translation vector is:

$T(x,y) = A'(x,y)-A(x,y)$ (2)

$T(x,y) = (1,-5)-(4,-2)$

$T(x,y) = (-3,-3)$

If we know that $B(x,y) = (7,-4)$ , $C(x,y) = (2,-5)$ and $T(x,y) = (-3,-3)$ , then the translated points are, respectively:

$B'(x,y) = B(x,y)+T(x,y)$ (3)

$B'(x,y) = (7,-4) +(-3,-3)$

$B'(x,y) = (4, -7)$

$C'(x,y) = C(x,y) +T(x,y)$

$C'(x,y) = (2,-5) + (-3,-3)$

$C'(x,y) = (-1, -8)$

The coordinates of B' and C' are $B'(x,y) = (4, -7)$ and $C'(x,y) = (-1, -8)$ , respectively.

5 0

2 years ago

Solve the inequality<br> x/3 - 2 <4

Afina-wow [57]

Answer:

brainliest please

Step-by-step explanation:

x/3-2<4

x/3<6

x<18

8 0

2 years ago

12^3 tanx-4^3tan2x<br>solve next step fast guys

shepuryov [24]

Step-by-step explanation:

3 tan 2x - 4 tan 3x = tan² 3x * tan 2x

3 (tan 2x - tan 3x) = tan 3x + tan² 3x * tan 2x

= tan 3x (1 + tan 3x * tan 2x)

3 (tan 2x - tan 3x)/(1 + tan 3x * tan 2x) = tan 3x

3 * (- tan x) = tan 3x

-3tanx = (3 tan x - tan³ x) / (1 - 3 tan² x)

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3 years ago

While looking at some reports, a store manager notes that televisions that retail for $475 and up costing customers $513 once th

Mekhanik [1.2K]

The sales tax percentage of the store manager report is 7.41%

<h3>How to solve for the sales tax percentage</h3>

Customers are subject to a charge known as sales tax when they buy goods and services.

It is a pass-through tax, which means you must collect it from clients and send the money to your state or local government. the seller do not contribute sales tax.

The sales tax is first calculated by

= price after tax - price before tax

= 513 - 475

= 38

sales tax percentage is calculated using the formula

= (Tax amount / Price before tax) × 100%

= (38 / 513) * 100

= 7.4074

= 7.41%

Learn more about sales tax at:

brainly.com/question/20220356

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KatRina [158]

i think that's the answer

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