Answer:
Option D is correct.
(-5, -6)
Step-by-step explanation:
Ordered pair states that a pair of number that is locate a point on a coordinate plane i.,e (x, y)
Given the line: .....[1]
Option A:
(12, -73)
Substitute the value of x = 12 and y = -73 in [1] we have;
2(12) - 3(-73) = 8
24 + 219 = 8
243 = 8 False.
Similarly for;
Option B
(-2, 4)
2(-2) - 3(4) = 8
-4 -12 = 8
-20 = 8 False.
Option C
(2, 43)
2(2) - 3(43) = 8
4-129= 8
-125= 8 False.
Option D
(-5, -6)
2(-5) - 3(-6) = 8
-10 +18 = 8
8 = 8 True.
Therefore, only (-5, -6) ordered pair is on the line 2x-3y = 8
The base angles of an isosceles triangle are equal
The base angles are 15 degrees, while the vertex angle is 150 degrees
The base angles are given as:
Base = (6a- 3) and (a + 12)
So, we have:
Collect like terms
Divide both sides by 5
Substitute 3 for a in Base = (6a- 3),
So, the base angle is 15 degrees.
The vertex angle is calculated using:
So, we have:
Hence, the vertex angle is 150 degrees
Read more about isosceles triangles at:
Answer:
<h2>See the explanation.</h2>Step-by-step explanation:
3 or less than 3 tires among the 10 tires should be blemished.
There are some possibilities.
1000 tires are blemished, (5000 - 1000) = 4000 tires are not blemished.
From the 5000 tires, 10 tires can be chosen in ways.
Possibility 1: <u>3 tires are blemished.</u>
Total 10 tires can be chosen with 3 blemished tires in ways.
Possibility 2: <u>2 tires are blemished.</u>
Total 10 tires can be chosen with 2 blemished tires in ways.
Possibility 3: <u>1 tires are blemished.</u>
Total 10 tires can be chosen with 1 blemished tires in ways.
Possibility 4: <u>No tires are blemished.</u>
Total 10 tires can be chosen with no blemished tires in ways.
Hence, the required probability is .