Step-by-step explanation:
a) Let 'm' represents score in a Mathematics test. The variable has a fixed value because the marks Sarah obtained in her test will not change
b) Let 'd' represent the distance between the Zen house and the school. The variable has a fixed value because by using the same route, the distance will always remain constant.
c) Let 't' represent the temperature on the summit of Mount Everest. The variable has a changed value because the temperature may alter depending on the time of day and also climatic conditions which will affect the temperature.
Answer:
The equation for a line that is parallel to y + 5 = 3(x - 1) and goes through the point (3,-4) will be:
Step-by-step explanation:
Given the equation
y + 5 = 3(x - 1)
Writing in the slope-intercept form
y=mx+b
where m is the slope and b is the y-intercept
y = 3(x-1) -5
y = 3x-3-5
y = 3x - 8
Thus, the slope = m = 3
We know that the parallel lines have equal slopes.
So, the slope of a parallel line is also 3
Using the point-slope form of the line equation
substituting the values m = 3 and the point (3, -4)
y-(-4)=3(x-3)
y+4 = 3x-9
y = 3x-9-4
y = 3x-13
Thus, the equation for a line that is parallel to y + 5 = 3(x - 1) and goes through the point (3,-4) will be:
Answer:
D Antenna #4
Step-by-step explanation:
As per given graph we can write the function
- the intercept is zero, as x=0, y=0
- at x=2, y=30 ⇒ 30= 2*15
- at x=4, y=60 ⇒ 60= 4*15
The slope is 15, so the function is
And the function for the antenna revolving at twice the rate would be
Comparing data in given tables we can see it is D Antenna #4
- x= 22 ⇒ y= 22*30= 660
- x=24 ⇒ y= 24*30= 720
Area of rectangle = LxW = 13x7 = 91
Area of triangle = bxh/2 = 7x7/2= 24.5
Total area= 91+24.5= 115.5 in^2
Answer:
8x² + 8
Step-by-step explanation:
Given
(x² + 3)² - (x² - 1)² ← expand both factors using FOIL
= 
+ 6x² + 9 - ( - 2x² + 1) ← distribute by - 1
= + 6x² + 9 - + 2x² - 1 ← collect like terms
= 8x² + 8
