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posledela
3 years ago
5

The point A(-8, 6) is translated using T: (x,y) → (x + 5. y - 4). What is the distance from A to A'?

Mathematics
2 answers:
Vsevolod [243]3 years ago
8 0
Translated means the points are moving across the plane without rotating or changing shape. In this case, the x-coordinate would be moving up 5 (x + 5) and the y-coordinate would be moving to the left 4 (y - 4).

A is (-8, 6). A' is the result of the translation from this point. The results of the solution above in A is the point (-3, 2) = A'.

Now you must find the distance between these two coordinates. To find the distance you must use the distance formula: √<span>(x2 - x1)^2 + (y2 - y1)^2. Since you now have two points, A and A', plug these into the distance formula.

</span>√(-3 - (-8))^2 + (2 - 6)^2
√5^2 + (-4)^2
√25 + 16
√41

The distance from A to A' is √41.
faltersainse [42]3 years ago
8 0
Sqrt(41) is the answer

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BRAINLIESTTT ASAP! PLEASE HELP ME :)
marta [7]

We can use the Pythagorean theorem to solve for the perimeter of the kite.

a² + b² = c²

3² + 4² = UV²

9 + 16 = UV²

25 = UV²

√25 = √UV²

5 = UV

In the kite, adjacent sides are the same so UV = VW

3² + 9² = UX²

9 + 81 = UX²

90 = UX²

√90 = √UX²

9.49 ≈ UX or 3√10 ≈ UX

Now, add to find the perimeter.

5 + 5 + 9.49 + 9.49 or 5 + 5 + 3√10 + 3√10

28.98 or 10 + 6√10

Therefore, the perimeter is approximately 28.98 or 10 + 6√10

Best of Luck!

6 0
3 years ago
Is it multiplication or division?...How much ch ice cream does each cone hold of four cones hold 1/2 pound
zubka84 [21]

2 ounces

using the conversion

1 pound = 16 ounces ⇒ \frac{1}{2} = 8 ounces

Divide 8 by 4 to calculate amount for each cone

amount = 8 ÷ 4 = 2 ounces


4 0
3 years ago
20% of x is 11. What is x?
ipn [44]

Answer:

55

Step-by-step explanation:

20% is the same as 1/5, so we can multiply 11 by 5:

11*5=55

5 0
3 years ago
A rancher wants to fence in an area of 1000000 square feet in a rectangular field and then divide it in half with a fence down t
frosja888 [35]

The shortest length of the fence used by the rancher in a rectangular field of 1000000 square feet is 4899 ft.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle is a region enclosed in four corners where two opposite sides are equal. The area of the rectangle is mathematically expressed as:

Area of a rectangle = length(x) × breath(y)

1000000 sq.ft = (x) × (y) ---- (1)

However, to determine the fencing, we have:

Length of fencing = 2x + 2y  

  • since the rectangle has four sides and opposite sides are equal

Suppose we use the x-direction to estimate the region where the fencing is located, we have:

Length of fencing = 2x + 2y + x

Length of fencing = 3x + 2y ---- (2)

From equation (1), make (y) the subject of the formula and replace the value of y with equation (2)

The Length of fencing is:

\mathbf{L = 3x - 2( \dfrac{1000000}{x})}

\mathbf{\dfrac{dL}{dx} = 3 - \dfrac{2000000}{x^2} = 0}

\mathbf{ x^2= \dfrac{2000000}{3} }

\mathbf{ x= \dfrac{1000\sqrt{2}}{\sqrt{3}} }

\mathbf{x = \dfrac{1000 \sqrt{6}}{3}}

Now, if we replace the value with equation (1), then y will be:

\mathbf{y = \dfrac{1000000}{\dfrac{1000 \sqrt{6}}{3}} }\\ \\  \\ \\ \mathbf{y = \dfrac{3000 }{\sqrt{6}}}

\mathbf{x =500\sqrt{6}}

Now, the shortest length of the fencing can be computed by using the equation (2):

L = 3x + 2y

\mathbf{L = 3( \dfrac{1000  \sqrt{6}}{3}) + 2(500 \sqrt{6})}

\mathbf{L =1000  \sqrt{6} + 1000 \sqrt{6}}

\mathbf{L =2000  \sqrt{6} }

\mathbf{L \simeq 4899 \ ft}

Learn more about the area of a rectangle here:

brainly.com/question/25292087

6 0
2 years ago
Solve using any method 4x-y=20 and -2x-2y=10
dsp73

Answer:

if you're trying to find the slope, it is (3, -8) were you looking for the slope?

Step-by-step explanation:

i hope this helps, have a great day:)

7 0
3 years ago
Read 2 more answers
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