<span>The answers to this problem are:<span>(<span>±5</span></span>√3/8,±5/8)<span>Here is the solution:
Step 1: <span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span></span>
Step 2: Substitute:<span>
</span><span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)
</span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)</span></span>
</span><span>x^2</span>−<span>y^2</span>=<span>25/32</span><span>.
Add [2] and [3]:<span>
</span><span>2<span>x^2</span>=<span>75/32
</span><span>x^2</span>=<span>75/74</span></span>
<span>x=±5</span></span>√3/8<span>
Substitute into [2]:<span>
</span><span><span>75/64</span>+<span>y^2</span>=<span>50/32
</span><span>y^2</span>=<span>25/64</span></span>
<span>y=±<span>5/8</span></span>
</span>
</span>
Answer:
12 units
Step-by-step explanation:
(-7,-6)
if you reflect it over the x-axis then the second number would be changing
-6 the opposite is 6
(-7, 6)
from -6 to 6 is 12 jumps
12 units is the distance from the original point
Step-by-step explanation:
4x³ + 19x² + 29x + 14
= (4x³ + 7x²) + (12x² + 21x) + (8x + 14)
= x²(4x + 7) + 3x(4x + 7) + 2(4x + 7).
= (x² + 3x + 2)(4x + 7).
Hence 4x³ + 19x² + 29x + 14 divided by 4x + 7 is x² + 3x + 2 or (x + 1)(x + 2).
% damaged = (14 000/40000) * 100%
= 14/40 * 100%
= 0.35*100%
= 35%
(2)
we know that
when two lines do not intersect , they can be parallel lines or skew lines
so,
Lines that do not intersect are called <u>parallel or skew lines</u>
(4)
we know that
A circle is the set of all points in a plane that are equidistant from a given point
so,
The set of points in a plane that are equidistant from a given point form a <u>circle</u>
(8)
Moving a figure around a fixed point in the plane is called making <u>a image of the figure</u>
(3)
A <u>translation</u> of the plane is a transformation which shifts all the points in a plane figure, without altering the shape of the figure
(6)
All the points on a line that are between two given points form a line <u>segment</u>
