Answer:
- a) AB = 10 units
- b) Midpoint is (2, 6)
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<h3 /><h3>Given</h3>
- Points A( - 1, 10) and B(5, 2)
<h3>To find</h3>
- a) The length of AB
- b) The midpoint of AB
<h3>Solution</h3>
a) Use the distance formula:
Substitute the coordinates and calculate:
The distance is AB = 10 units
b) Use midpoint formula and find x and y- coordinates of this point:
and 
Substitute coordinates and find the midpoint:
and 
The midpoint is (2, 6)
Answer:
Step-by-step explanation:
m=pq+rq(2)
Opening bracket
m = pq + 2rq
m - 2rq = pq
Dividing each term q
(m - 2rq)/q = pq/q
p = (m - 2rq)/q
Answer:
61
Step-by-step explanation:
This composite function can be easily solved
First solve f(-2)
f(-2)=(-2)³+3
f(-2)=-8+3=-5
Now plug -5 for x in function g(x)
=2(5)²+2(5)+1
=50+10+1
=61
Answer:
Wasim has enough money.
Step-by-step explanation:
1. find the area of the garden path:
600 cm x 120 cm = 72,000 sq. cm
2. find the area of each stone:
it is a square of 30 cm by 30 cm, so:
30 cm x 30 cm = 900 sq. cm
3. find how many stones can fit in the path:
72,000 / 900 = 80 stones
4. multiply that by the price of each stone:
80 stones x $2.50 = $200
Wasim's budget is $220 and the stones will only cost $200, so it is within the budget
