Answer:
Step-by-step explanation:
The perpendicular lines have opposite reciprocal slopes.
<u>The given line has a slope of:</u>
<u>The perpendicular slope is:</u>
<u>And its y-intercept is:</u>
<u>The line is:</u>
<u>Convert this into standard form and compare with answer choices:</u>
- 3y = 2x + 21
- - 2x + 3y = 21
Correct choice is A
Answer:

Step-by-step explanation:
Standard form is written this way: 
However, in this case, we just have to simplify 8x-3y=6-4x, as it is already mostly in standard form.
So, to do this, we have to combine like terms.
The only like terms that can be combined are -4x and 8x.
So, we add 4x to both sides, and we get:
.
0.5 < x < 16.5 given: Two sides of triangle: 8.0 units and 8.5 units
Measure of third side = x
According to the triangle's inequality,
Sum of any two sides > third side. (i)
Difference between the sides < third side. (ii)
If x is the third side, then
x < 8+8.5 [Using (i)]
i.e. x< 16.5
Also, x > 8.5-8 [Using (ii)]
i.e. x> 0.5
Hence, Range of possible sizes for side x would be 0.5 < x < 16.5.
Answer:
The value of f(2) would be -40.
Step-by-step explanation:
Given function is,

Substituting x = 2 in the above function,
We get,




Hence, the value of f(2) would be -40.