7x + 5y = -1
get: y = mx + c
firstly, subtract 7x from both sides:
5y = -7x -1
divide both sides by 5:
y = (-7x -1)/5:
y= -7x/5 -1/5
therefore the slope, m = -7/5 in the formula y = mx + c
perpendicular test m1 .m2 = -1
m1 = -7/5, substitute in formula:
(-7/5) x m2 = -1
m2 = -1 /(-7/5) which equals [ invert and multiply] -1 x -5/7 = 5/7
perpendicular slope m2 = 5/7
new line y=mx +c is:
y = 5/7 x -1/5
The line
<span>The sum of twice x and 3 times y is less than 6
is the same as
2x + 3y < 6
which can be transformed into
y < -2x/3 + 2
and
</span><span>y must be greater than 1 less than twice the x
is
y > 2x - 1
The solution is represented by the first figure.</span>
Answer:
A
Step-by-step explanation:
because values of y increase from negative 2 to negative 1
A fraction is a short way to write a division problem. When you see a fraction, it means "the top number divided by the bottom number".
When you actually DO the division, the answer is the decimal that's equal to the fraction.
Cylinder volume = PI * radius^2 * height
cylinder volume = 3.14159 * 16 * 4
cylinder volume = 3.14159 * 64
cylinder volume =
<span>
<span>
<span>
201.06</span></span></span>