We know that
[area of rectangle]=length*width
area=2g²<span>+34g+140
</span><span>width =2g+14
</span>
step 1
find the roots of 2g²+34g+140
using a graph tool-----> to resolve the second order equation
see the attached figure
the solution is
g=-10
g=-7
so
2g²+34g+140=(2g+14)*(g+10)
therefore
the length is (g+10)
the answer isthe length is (g+10)
Answer:
x = 5/7
Step-by-step explanation:
4 (0.25 - 2) = x - 0.75 (16 - 8x)
1 - 8 = x - 12 + 6x
1 - 8 + 12 = x + 6x
5 = 7x
5/7 = x
Answer:
x^2 - (4+13i)^2
Step-by-step explanation:
This product has the form (a-b)(a+b), which is a 'special product' equal to a^2 - b^2. Following this pattern, [x-(4+13i)][x-(4+13i)] = x^2 - (4+13i)^2. The 2nd term could be expanded if desired, but the above result is the most compact one possible.
The slope of the line parallel to the line –x + 3y = 6 is a 1/3 option (A) 1/3 is correct.
<h3>What is the slope?</h3>
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
It is given that:
The equation of the line:
–x + 3y = 6
Write the equation in standard form:
y = x/3 + 6/3
y = x/3 + 2
m = 1/3
The slope of the line parallel to the line –x + 3y = 6
M = 1/3
Thus, the slope of the line parallel to the line –x + 3y = 6 is a 1/3 option (A) 1/3 is correct.
Learn more about the slope here:
brainly.com/question/3605446
#SPJ1
Answer:
x= 29
Step-by-step explanation:
use Pythagoras because it has a right angle and 2 sides length is given.
when the hypoteneus(side opposite the right angle) is the value you are finding out you use the equation : x²+y²=hypoteneus² (Pythagoras)
then you sub in the values you are given
(21)² + (20)² = hypoteneus²
them take the square root (²) to the opposite side to find the hypoteneus
square root (441+400) = hypoteneus
now you can put into a calculator and you get the value
hypoteneus =29 (for reference to hypoteneus is the same as X-the value you are looking for)
therefore, x=29
for extra reference, say you want to work out a side that is not the hypotenues you use the formula ,
(side u looking for)² = (hypotenues)² - (other side given)²
