Question 2.2. Which ordered pairs make the inequality true?
1 answer:
<span>Question 2.2. Which ordered pairs make the inequality true?</span><span>2x + y > –4</span>The solutions are (-1, 2) and (1, -5), look at the graph in the attachment.
Question 3.3. What is the slope of the line represented by the equation?
There is no equation
Question 4.4. What is the slope of the line represented by the equation 6x - 3y = 4?
Convert to slope-intercept form:
6x - 3y = 4
Subtract 6x to both sides:
-3y = -6x + 4
Divide -3 to both sides:
y = -6/-3x + 4/-3
Simplify:
y = 2x - 4/3
Now it's in slope intercept form, y = mx + b, where 'm' is the slope. So the slope here is 2.
Question 5.5. What is the simplified form of the expression?
15y - 3(4y + 10)
Distribute -3 into the parenthesis:
15y - 12y - 30
Combine like terms:
3y - 30
Question 3.3. What is the slope of the line represented by the equation?
There is no equation
Question 4.4. What is the slope of the line represented by the equation 6x - 3y = 4?
Convert to slope-intercept form:
6x - 3y = 4
Subtract 6x to both sides:
-3y = -6x + 4
Divide -3 to both sides:
y = -6/-3x + 4/-3
Simplify:
y = 2x - 4/3
Now it's in slope intercept form, y = mx + b, where 'm' is the slope. So the slope here is 2.
Question 5.5. What is the simplified form of the expression?
15y - 3(4y + 10)
Distribute -3 into the parenthesis:
15y - 12y - 30
Combine like terms:
3y - 30
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Answer:
146
Step-by-step explanation:
Hey there to find the area of this shape we will divide it into 2 shapes first one is a trapezoid and the second one is a triangle. first, we find the area of a trapezoid. to find the area of a trapezoid we use the formula:
A =
in this situation
a = 4
b = 14
h = 10
Now we plug it into the formula which will look like:
A =
if we solve it:
4+14 = 18
18/2 = 9
9*10 = 90
so the area of the trapezoid is 90
Now we find the area of triangle. to find the area of a triangle we use the formula:
A =
in this situation
b = 14
h = 8 ( because the height of the trapezoid was 10 and the height of both shapes combined is 18 so we do 18 - 10 = 8 )
Now we put the numbers into the formula which will look like:
A =
if we solve it :
14*8 = 112
= 56
so the area of the triangle is 56
Now we add the area of both shapes:
56 + 90 = 146
area of the big shape = 146
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Step-by-step explanation:
Hope this helps. Daniel spent $33
