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gizmo_the_mogwai [7]
3 years ago
13

A translation moves point V(-2,3) to V’(2,7). Which are true statements about the translation?

Mathematics
1 answer:
Stolb23 [73]3 years ago
3 0

Answer:

The translation is right 4 units and up 4 units

Step-by-step explanation:

we know that

The rule of the translation of the point V to V' is equal to

(x,y) ----> (x+4,y+4)

That means ----> The translation is right 4 units and up 4 units

Verify

V(-2,3) -----> V'(-2+4,3+4)

V(-2,3) -----> V'(2,7)

Is correct

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vekshin1

Answer:

7.1x106=752.6

8.2 x 101=828.2

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For what value of k is there one solution to the given quadratic equation (k+1)x²+4kx+2=0.
andriy [413]

Answer:

If k = 1 or k = -\frac{1}{2}, there is only one solution to the given quadratic equation.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = (x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

The signal of \bigtriangleup determines how many real roots an equation has:

\bigtriangleup > 0: Two real and different solutions

\bigtriangleup = 0: One real solution

\bigtriangleup < 0: No real solutions

In this problem, we have the following second order polynomial:

(k+1)x^{2} + 4kx + 2 = 0.

This means that a = k+1; b = 4k; c = 2

It has one solution if

\bigtriangleup = 0

b^{2} - 4ac = 0

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We can simplify by 8

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The solution is:

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3 years ago
In the circle below, DB = 22 cm, and m&lt;DBC = 60°. Find BC. Ignore my handwriting.​
Karo-lina-s [1.5K]

Answer:

BC=11\ cm

Step-by-step explanation:

step 1

Find the measure of the arc DC

we know that

The inscribed angle measures half of the arc comprising

m\angle DBC=\frac{1}{2}[arc\ DC]

substitute the values

60\°=\frac{1}{2}[arc\ DC]

120\°=arc\ DC

arc\ DC=120\°

step 2

Find the measure of arc BC

we know that

arc\ DC+arc\ BC=180\° ----> because the diameter BD divide the circle into two equal parts

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Find the measure of angle BDC

we know that

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substitute the values

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step 4

Find the measure of BC

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1\frac{2}{35}x

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