Answers: (y = 2) and (x = 1)
Steps:
Answer:
angle1=70
angle2=65
angle4=115
angle7=45
angel6=45
angle5=45
Step-by-step explanation:
110+angle1 = 180
angle1 =180-70
angle1 = 70
115+angle2=180
angle2=180-115
angle2=65
angle4=115 because lines are parallel
angle1+angle2+angle7=180 because triangle
70+65+angle7=180
135+angle7=180
angle7=180-135
angle7=45
angel6=45
angle5=45
Equation of a line that passses through (x1,y1) and has a slope of m is
y-y1=m(x-x1)
perpendicular lines have slopes that mulitply to get -1
given
y-2=7/3(x+5)
slope is 7/3
perpendicular
7/3 times slope=-1
times 3/7 both sides
slope=-3/7
given point is (-5,2)
y-2=-3/7(x-(-5))
y-2=-3/7(x+5)
C is answer
If it is perpendicular to the x-axis, it is a vertical line of the form:
x=k, since it must pass through (5,1) that vertical line is:
x=5
Answer:
a) Correct: D
b) Plants grow 3.5 units of height each day
c) 140.7 units
Step-by-step explanation:
Looking at the graph we can see the relation between x and y is an increasing function, which means when x increases, y also does
a) The alternative D is the correct one
b) Increasing lines have a positive slope and the slope is the coefficient of x. The first two alternatives (A and B) have negative slopes, so they are discarded.
To decide between C or D, we see that when x is near 30, y is near 110 and the y-intercept is close to zero. The division of 110/30 = 3.67 must be near the slope of the correct line.
So the alternative D is the correct one
The slope means how fast the bamboo plants grow in time. It can be understood that they grow 3.5 units of height each day.
The y-intercept is interpreted as the initial height of the bamboo plants at day zero (assuming the experiment was conducted after it appeared above the soil)
c) If we use the relation
y=3.5x+0.7 and set x=40 days, we have
y=(3.5)(40)+0.7 = 140.7 units of height
