If you would like to eliminate the z-term, you can do this using the following steps:
x + z = 6 /*(-2)
3x + 2z = 1
_____________
-2x -2z = -12
<span>3x + 2z = 1
</span><span>_____________
</span>-2x + 3x = -12 + 1
x = -11
The correct result would be <span>x + z = 6 /*(-2).</span>
Answer:
Step-by-step explanation:
We have been given that at a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. The inner edge of the sidewalk is a circle with a radius of 9 m.
To find the area of the side walk we will subtract the area of inner edge of the side walk of lion pen from the area of the outer edge of the lion pen.
, where r represents radius of the circle.
Therefore, the exact area of the side walk is
To find the approximate area of side walk let us substitute pi equals 3.14.
Therefore, the approximate area of the side walk is .
Answer:
-16
Step-by-step explanation:
Follow . PEMDAS
plug the numbers in
4*2 =8 and -4*6=24
add both...
-16.
Answer:
Triangle E or D
Step-by-step explanation:
Is not the right one
Answer:
opens down
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) - (- 10, - 1 ) , then
y = a(x + 10)² - 1
To find a substitute (- 8, - 5) into the equation
- 5 = a(- 8 + 10)² - 1 ( add 1 to both sides )
- 4 = a(2)² = 4a ( divide both sides by 4 )
- 1 = a
y = - (x - 10)² - 1 ← equation in vertex form
To determine if it opens up/ down consider the value of a
• If a > 0 then curve opens up
• If a < 0 then curve opens down
Here a = - 1 < 0 then curve opens down