Answer:
x = 0
y = 5
z = -5.
Step-by-step explanation:
X-5y-z=-20
-2x-y-6z=25
-x-4y-z=-15
Add equation 1 and 3:
-9y - 2z = -35 .......... A
Multiply the first equation by 2:
2x - 10y - 2z = -40
Now add this to equation 2:
-11y -8z = -15.............B
Now multiply equation A by -4:
36y + 8x = 140.........C
Add equations B and C:
25y = 125
y = 5.
Substitute for y in equation A:
-9*5 - 2z = -35
2z = -45 + 35 = - 10
z = -5.
Now find x by substituting for y and z in the first equation:
x - 5(5) - (-5) = -20
x - 20 = -20
x = 0.
<h3>Explanation:</h3>
<em>Lateral Area</em>
The lateral area is the area of the sides of the prism. If the faces are perpendicular to the bases, then each face is a rectangle. The area of each rectangle is the product of its length and width, generally the product of the height of the prism and the length of one edge of the base.
The total lateral area will then be the product of the height of the prism and the perimeter of the base.
<em>Total Area</em>
The total area is the sum of the lateral area (computed as above) and the area of the two bases of the prism. The formula for that area depends on the shape of the prism. (You have already seen formulas for the areas of triangles, rectangles, and other plane shapes. If not, they are readily available in your text or using a web search.)
This will be easier to write, and a lot easier to read, if we temporarily
use another symbol ... say, 'Q' ... to represent ' sin(2x) ' .
Here we go:
Original equation: Q² - 0.5 Q = 0
Factor the left side: Q (Q - 0.5) = 0
This equation is true if either factor is zero:
-- If Q=0, then sin(2x) = 0
2x = 0°, 180°, 360°
x = 0°, 90°, 180°
-- If (Q-0.5) = 0, then Q = 0.5
sin(2x) = 0.5
2x = 30°, 150°
x = 15°, 75°
The whole collection of solutions
between 0° and 360° :
x = 0°, 15°, 75°, 90°, 180° .
Answer:
The answer is -13/8 or -1 5/8 in mixed form.
Step-by-step explanation:
The fraction 1 5/8 converted to improper is 13/8 so count 13 points to the right of the number line from 0. So that is where it falls.
Now if we are to find the opposite of a positive integer or fraction we are just to put a negative mark so it will be -1 5/8 or -13/8 in improper form. So just count 13 points to the left of the number line from 0 and that's your answer buddy!
But tbh this is actually an extensive and time taking process but if you follow this you can be sure of your answer. So the easier process is to see the whole and the parts of whole. As you can see there are 8 parts between each number so it means each number is divided into 8 parts and to make it easier the fraction shows that 1 5/8 has 8 parts for each to. So we will take the 1 of the 1 5/8 and skip 8 parts to the whole number 1. Then we will take the 5 from 5/8 and count 5 points from 1. That's the position of 1 5/8 on the number line. As for the opposite, add negativity sign and do just the same! And that's the answer!
HOPE it helps though...
