In the second equation:
Subtract 8x from both sides.
2z = 22 - 8x
Divide 2 on both sides.
z = 11 - 4x
Plug this into the first equation.
-66 - 2(11 - 4x) = -196
-66 - 22 + 8x = -196
Combine like terms.
-88 + 8x = -196
Add 88 to both sides.
8x = -108
Divide 8 on both sides.
x = -13.5
Put this into the second equation.
8(-13.5) + 2z = 22
-108 + 2z = 22
Add 108 to both sides.
2z = 130
Divide 2 on both sides.
z = 65
and
x = -13.5
Hope this helps!
By splitting the shape into a semi-circle and rectangle, we can see that we have a semi-circle with a diameter of 14 cm and a rectangle with dimensions of 28 cm by 15 cm. To find the area of the entire shape, we can add the areas of the two shapes up.
We can find the area of the semi-circle using the formula 
, where 
is the radius of the semi-circle. In this case, the area would be:
The formula for the area of a rectangle is 
, where 
is the length of the rectangle and 
is the width. In this case, the area would be:
Thus, the area of the total shape is:
The first step for simplifying this fraction is to divide the numerator and denominator by 6.
Divide the numbers on the numerator (top) of the fraction.
Lastly,, divide the numbers on the denominator (bottom) of the fraction to get your final answer.
Let me know if you have any further questions.
:)
Hi there!
Here are all the steps into multiplying these 2 parentheses :
(9x + 2y) × (9x - 2y)
9x × 9x = <u>81x²</u>
9x × -2y = <u>-18xy</u>
2y × 9x = <u>18xy</u>
2y × -2y = <u>-4y²</u>
81x² - 18xy + 18xy - 4y²
-18xy + 18xy = 0
Your answer is: 81x² - 4y²
There you go! I really hope this helped, if there's anything just let me know! :)
The answer to this question would be:320 ounces
In this case, sandy has two kinds of a pitcher with different volume. To find the total volume of the pitcher, you need to multiply the pitcher count with the pitcher volume separately. The equation would be:
Total volume= pitchercount1 * pitchervolume1 + pitchercount2 * pitchervolume2
Total volume= 2 * 64 ounces + 4 * 48 ounces = 128+192= 320 ounces
