Answer:
x=10
Step-by-step explanation:
3x-8=22
3x-8+8=22+8
3x=30
3x/3=30/3
Answer:
y = ax +b
slope = 1/4 => a =1/4
This line passes (-8,6) => (1/4)*(-8) +b =6 => -2 +b =6 => b = 8
=> y =(1/4)x+8
<h2>1.</h2><h3>1)</h3>
Put the given values of p and q in the factored form equation.
... f(x) = (x -(-1))(x -(-2)) . . . . p and q values put in
... f(x) = (x +1)(x +2) . . . . . . .simplified
<h3>2)</h3>
Multiplying the factors, we have
... f(x) = x(x +2) + 1(x +2) = x² +2x +1x +2
... f(x) = x² +3x +2
<h2>2.</h2>
We want to factor x³ -x² -6x. We notice first of all that x is a factor of all terms. Thus we have
... = x(x² -x -6)
Now, we're looking for factors of -6 that add up to -1. Those are -3 and 2. Thus the factorization is ...
... = x(x -3)(x +2)
<h2>3.</h2>
We want a description of the structure and an equivalent expression for
... 64x⁹ -216
We note that 64, 216, and x⁹ are all cubes, so this expression is ...
... the difference of cubes.
It can be rewritten to
... = 8((2x³)³ -3³)
and so can be factored as
... = 8(2x³ -3)(4x⁶ +6x³ +9)
Answer:
B. The two lines are neither parallel nor perpendicular.
Step-by-step explanation:
First, put both lines into the same format. In this example, we're going to use y=mx+b format.
x - 4y = -9
-4y = -x + -9
y = (-x + -9) / -4
y = (x+9)/-4
y = (-1/4)x + (-9/4)
y = 3x - 7
If two lines are parallel, they have the same slope. (ie 4 and 4)
If two lines are perpendicular, one line's slope is the negative reciprocal of the other. (ie 4 and -1/4)
Neither is true here.
<span>1. line goes through the points (9, 10) and (-3, 2). (a) What is the slope of the line? Show your work
slope = (10 - 2)/(9 + 3)
slope = 8/12
slope = 2/3
</span><span>2. Write the equation of the line in point-slope form.
Show your work
</span>
point-slope form. <span>
y - y1 = m(x - x1)
so equation
y - 2 = 2/3(x + 3)
</span><span>3. Write the equation of the line in slope-intercept form.
Show your work.</span><span>
</span>slope = 2/3, passing thru <span> (-3, 2)
</span><span>
y = mx + b
b = y - mx
b = 2 - (2/3)(-3)
b = 2 + 2
b = 4
equation
y = 2/3(x) + 4
</span>
