Answer:
the equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5)
= -5 = -2x + 15
Step-by-step explanation:
Write an equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5).
Using the slope intercept equation,
y = mx +c
m = slope = 1/2
For two lines to be perpendicular, the product of their slopes is -1
Let the slope of the other line be m2
m1×m2 =-1
1/2×m2 = -1
m2 = -1/(1/2) = -2
Slope of line = -2
For points (10, -5), x = 10, y =-5
-5 = -2× 10 +c
-5 = -20+ c
c = -5+20= 15
the equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5)
-5 = -2x + 15
Answer:
3 with a remainder of 4 beads
Step-by-step explanation:
if you want to put 10 beads on each bracelet but you only have 34 beads you are going to do subtraction (this is division but subtraction is the easiest way to explain it) so you have 34 bead and that’s more than 10 so you can make a bracelet so subtract 10 from 34, so now you have 24 beads and one bracelet, now 24 is greater than 10 so subtract again, 24-10 which is 14 so now you have 14 beads and 2 bracelets and 14 is greater than 10 so we can make another, 14-10 is 4 so now you have 4 beads and 3 bracelets now 4 is less than 10 so you can’t make another (hope this helps)
PLEASE ME
Which of the following BEST explains why Japan has a high gross domestic product when it has few natural resources?
A.
Japan can purchase many goods internationally to make up for their lack of natural resources.
B.
Japan relies on natural resources found in the ocean to make up for its lack of resources on land.
C.
Japan has invested in capital goods and human resources to make it a larger producer of finished goods for trading.
D.
Japan has placed tariffs on foreign goods which allows consumers to pay lower prices because goods are produced domestically.
Answer:
(64,86.5)
Step-by-step explanation:
find the case where he gets 70 and the case where he gets 79
if his average is 70:
(75+62+85+2x)/5=70
(222+2x)/5=70
222+2x=350
2x=128
x=64
if his average is 79:
(75+62+85+2x)/5=79
(222+2x)/5=79
222+2x=395
222+2x=395
2x=173
x=86.5
Step-by-step explanation:
the equation :
Hn = 7n + 3
where :
Hn : the height of trees at year to-n
n : year to-n (n = 1,2,3,...)
so, the rate of change : increasing 7 feet per year.
