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3 years ago

7

Which equation in point-slope form contains the points (0, 5) and (5, 8)?

1 answer:

Radda [10]3 years ago

4 0

Answer:

y-5=3/5(x-0)

or

y-8=3/5(x-5)

Step-by-step explanation:

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Answer:

The only shape you can make is a parallelogram. If both pairs of opposite angles of a quadrilateral are congruent, then it's a parallelogram (converse of a property). If the diagonals of a quadrilateral bisect each other, then it's a parallelogram (converse of a property).

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Neporo4naja [7]

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The triangle is a obtuse triangle

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3 years ago

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3 years ago

Circle P is described by the equation (x−1)2+(y+6)2=9 and circle Q is described by the equation (x+4)2+(y+14)2=4. Select from th

xeze [42]

Answer:

(a) Circle Q is 9.4 units to the center of circle P

(b) Circle Q has a smaller radius

Step-by-step explanation:

Given

$P:(x - 1)^2 + (y + 6)^2 = 9$

$Q:(x + 4)^2 + (y + 14)^2 = 4$

Solving (a): The distance between both

The equation of a circle is:

$(x - h)^2 + (y - k)^2 = r^2$

Where

$Center: (h,k)$

$Radius:r$

P and Q can be rewritten as:

$P:(x - 1)^2 + (y + 6)^2 = 3^2$

$Q:(x + 4)^2 + (y + 14)^2 = 2^2$

So, for P:

$Center = (1,-6)$

$r = 3$

For Q:

$Center = (-4,-14)$

$r = 2$

The distance between them is:

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2$

Where:

$Center = (1,-6)$ --- $(x_1,y_1)$

$Center = (-4,-14)$ --- $(x_2,y_2)$

So:

$d = \sqrt{(1 - -4)^2 + (-6 - -14)^2$

$d = \sqrt{(5)^2 + (8)^2$

$d = \sqrt{25 + 64$

$d = \sqrt{89$

$d = 9.4$

Solving (b): The radius;

In (a), we have:

$r = 3$ --- circle P

$r = 2$ --- circle Q

By comparison

$2 < 3$

<em>Hence, circle Q has a smaller radius</em>

4 0

2 years ago

What is a quotient of 3/10÷8/5 out of these forms 1. 3/16 2. 4/9 3. 15/80 4. 24/50

Zanzabum

Answer:

option 1

Step-by-step explanation:

$\frac{3}{10}$ ÷ $\frac{8}{5}$

• leave the first fraction

• change division to multiplication

• turn the second fraction 'upside down'

= $\frac{3}{10}$ × $\frac{5}{8}$ ( cancel 5 and 10 by 5 )

= $\frac{3}{2}$ × $\frac{1}{8}$

= $\frac{3}{16}$

8 0

2 years ago