Answer:
y=(x+6)^5+3
Step-by-step explanation:
Answer:
8.7 cm
Step-by-step explanation:
The question is a 2-two-step Pythagoras theorem. (c^2 = a^2 + b^2)
Consider as such, If I were to draw a diagonal line along the base of the cube what is the length of the diagonal line. To find out that we use the theorem. We can substitute a for 5 and b for 5 as well. So
a^2 +b^2 = c^2
5^2 + 5^2 = c^2
25 + 25 = c^2
√50 = c
Then since the line side of the cube is on a 3d angle we need to do the same process again but now using the imaginary diagonal line that we just calculated and the height (5).
a^2 +b^2 = c^2
√50^2 + 5^2 = c^2
50 + 25 = c^2
√75 = c
c = 8.6602...
<em>when rounded to 1 d.p.</em>
c = 8.7
Line AB is 8.7 cm long.
Answer:
-4.2
Step-by-step explanation:
Answer:

Step-by-step explanation:
The slope-intercept form of an equation of a line:

Convert the equation of a line 3x + 4x = 2y - 9 to the slope-intercept form:

<em>add 9 to both sides</em>
<em>divide both sides by 2</em>

Parallel lines have the same slope. Therefore we have the equation:

Put the coordinates of the point (4, -4) to the equation:


<em>subtract 14 from both sides</em>

Finally we have the equation:

Answer:
x=+/-3
Step-by-step explanation:
x^4-5x^2-36=0
factor
(x^2-9)(x^2+4)=0
split into 2 equations because one of these terms will need to equal zero for the eqation to be true
x^2-9=0 x^2+4=0
x^2=9 x^2=-4
x=+/-3 no real numbers