Answer:
Actual correct answer (I checked because the first answer was wrong)
Step-by-step explanation:
x product of powers
quotient of powers
power of a power
x power of a product
negative exponent
x zero exponent
I got this right the second time.
<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
When the squared terms are of different signs, the equation generally describes a hyperbola. This one has its vertices at x=±30, so the parameters of interest are
domain: (-∞, -30] ∪ [30, ∞)
range: (-∞, ∞)
Answer:
x = 23.5
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 54 = x / 29
29 sin 54 = x
x=23.46149
To the nearest tenth
x = 23.5
P=2(l+w)
190=2[(2l+5)+l)
190=4l+10+2l
190=6l+10
180=6l
l=30
190=2(30+w)
190=60+2w
130=2w
w=65
The width of the rectangle is 65.