Answer:
z = 7
Step-by-step explanation:
4z - 8 = 20
Add 8 to each side
4z - 8+8 = 20+8
4z = 28
Divide each side by 4
4z/4 = 28/4
z = 7
The answer is -10 because when u plug in -2 for x u get 4(-2)=-8 then -2+-8=-10
Answer:
5.6 cm
Step-by-step explanation:
As you can see in the picture, there is a right triangle formed. The right angle is opposite the 6.5 cm side, so that is the hypotenuse, and the other sides are the two legs. The side we do not know in the right triangle is the height of the pyramid.
We know that a²+b²=c² for a hypotenuse c and two legs a and b in a right triangle.
height²+3.3²=6.5²
subtract 3.3² from both sides to isolate height²
31.36 = height²
square root both sides to isolate height
height = 5.6 cm
Answer: The required transformation rule is given by
(x, y) -----> (-x, y).
Step-by-step explanation: We are given to write a rule that describes a transformation across the y-axis.
We know that
if a point is reflected across the y-axis, then the sign before the x co-ordinate changes.
That is, if the point (x, y) is reflected (transformed) across the y-axis, then its new co-ordinates will be
(-x, y).
Thus, the required transformation rule is given by
(x, y) -----> (-x, y).
Answer: -3x+y=-4
Step-by-step explanation:
Standard form is Ax+By=C. In y=Mx+b form, it would be y=3x-4. To put it into standard form you subtract 3x from both sides. So then you have -3x+y=-4.