Answer:
D
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 3 = 4(x - 10) ← is in point- slope form
with slope m = 4
Given a line with slope m then the slope of a line perpendicular to it is
= -
= - 
The perpendicular line passes through (- 3, 7), hence
y - 7 = -
(x - (- 3)), that is
y - 7 = -
(x + 3) → D
First, let's simplify the expression: 7 - 5 + 3x - 1 ⇒ 3x + 1 <em>(slope=3, y-intercept = 1)</em>
Next, let's understand what they are asking for:
<u>no solutions</u> means same slope but different y-intercepts
Answer: 3x + _______ (the blank can be anything except 1)
<u>one solution</u> means different slopes
Answer: ________x + _______ (the first blank can be anything except 3, the second blank can be anything)
<u>infinitely many solutions</u> means same slope and same y-intercept
Answer: 3x + 1
Answer:
20 feet
Step-by-step explanation:
There are 3 feet in a yard, so 9 yards and 1 foot = 28 feet. You find this by multiplying 9x3 = 27 and adding the extra foot, which makes it 28. To find the final answer just subtract 8 from 28, which gives you 20.
Answer:


Step-by-step explanation:
step 1
Find the equation of the solid line
From the graph take the points (0,3) and (4,11)
Find the slope

The equation of the solid line in slope intercept form is equal to

we have

----> the y-intercept is the point (0,3)
substitute

therefore
The inequality is

step 2
Find the equation of the dashed line
The slope is given

From the graph take the y-intercept (0,-5)
The equation of the solid line in slope intercept form is equal to
we have

substitute

therefore
The inequality is

because the shaded region is below the dashed line
therefore
The system of inequalities is

