

highest common factor of 20 and 30=10

there will be 5 pens in each box.
Answer:
y =
x + 8
Step-by-step explanation:
the equation of a line in slope intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange 2x + 3y = 9 into this form
subtract 2x from both sides
3y = - 2x + 9 ( divide all terms by 3 )
y = -
x + 3 ← in slope-intercept form
with slope m = - 
given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
, hence
y =
x + c ← is the partial equation
to find c substitute (- 2, 5) into the partial equation
5 = - 3 + c ⇒ c = 5 + 3 = 8
y =
x + 8 ← equation of perpendicular line
Answer:
x = 5
Step-by-step explanation:
Also in this case we can use the Pythagorean theorem in this way
x^2 + (5√3)^2 = 10^2
x^2 + 75 = 100
x^2 = 25
x = +/- 5
we take only the positive value because a lenght can’t be negative
x = 5
Answer:
False
Step-by-step explanation:
This is false because A density graph is not used to find the probability of a discrete random variable taking on a range of values. This is because you have to use a calculations instead of a graph. The correct how to calculate is: Determine a single event with a single outcome. Identify the total number of outcomes that can occur. Divide the number of events by the number of possible outcomes.
Therefore, it's B ( false).
Answer:
Q (-4, -2); 2 units; Q' will be above the x-axis; 2 unites; no; yes, the y coordinates are multiplied by -1; Q' (-4, 2); R' (-2, 2), S' (1, 5), T' (-2, 5);
Step-by-step explanation:
even after a reflection over the x-axis, each points distance from the x-axis will stay the same
the x-coordinates don't change because the distance from the y-axis stays the same
the picture below shows points of Q'R'S'T', just connect the vertices