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3 years ago

Write the rule of the transformation

Mathematics

1 answer:

Ratling [72]3 years ago

3 0

Answer:

(x + 5, y + 1)

Step-by-step explanation:

As we can see, what we have is a translation

let us pick a point

G( -5,-2)

To;

G’(0,-1)

so the shift on the x-axis is;

(0-(-5)) = 5

shift on the y-axis is;

(-1-(-2) = 1

we have a rightward shift of 5 units on the x-axis and 1 unit on the y-axis

So we have the rule as;

(x + 5, y + 1)

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The triangular faces of the peaks on a roof are congruent isosceles triangles with vertex angles U and V.

Rina8888 [55]

Answer:

(a). ∠UXV, ∠XVY ; (b). UV = 8 m .

Step-by-step explanation:

3 0

3 years ago

Dubnium-262 has a half-life of 34 s. How long will it take for 500.0 grams to

dmitriy555 [2]

Answer:

the time taken for the radioactive element to decay to 1 g is 304.8 s.

Step-by-step explanation:

Given;

half-life of the given Dubnium = 34 s

initial mass of the given Dubnium, m₀ = 500 grams

final mass of the element, mf = 1 g

The time taken for the radioactive element to decay to its final mass is calculated as follows;

$1 = 500 (0.5)^{\frac{t}{34}} \\\\\frac{1}{500} = (0.5)^{\frac{t}{34}}\\\\log(\frac{1}{500}) = log [(0.5)^{\frac{t}{34}}]\\\\log(\frac{1}{500}) = \frac{t}{34} log(0.5)\\\\-2.699 = \frac{t}{34} (-0.301)\\\\t = \frac{2.699 \times 34}{0.301} \\\\t = 304.8 \ s$

Therefore, the time taken for the radioactive element to decay to 1 g is 304.8 s.

4 0

2 years ago

Identify the pairs of corresponding angles

topjm [15]

Answer: A

Step-by-step explanation:

If you flip the second triangle straight upwards so that x is on top and z,y are on the bottom, you could visualize the points and angles in the same locations.

6 0

3 years ago

In a survey 9 out of 15 named math as their favorite class. express this rate as a decimal

ZanzabumX [31]

0.6 is 9/15 as a decimal.

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3 years ago

If the tip varies directly with the number of guest,which equation represents the relationshipbbetween the tip,t,and the number

sergejj [24]

If the tip, t, varies directly with the number of guests, g, then it means that any change in tip there is a corresponding change in the number of guests. When the tip increases the number of guests increases as well. Therefore,

t α g

To change the it to equal sign, we incorporate a proportionality constant, k.

t = kg

This equation will represent the relation of t to g.

6 0

3 years ago