Answer:
Step-by-step explanation:
The given quadratic equation :_
To solve this , we first add 15 on the both the sides of the above equation, we get
Now, we divide both sides by 5, we get
Taking square roots on both the sides , we get
Hence, the two possible solutions =
Answer:
x=20
Step-by-step explanation:
3x - 10 + 5x + 30 = 180
8x + 20 = 180
8x = 160
x = 160/8
x = 20
check:
3(20) - 10 + 5(20) + 30 = 180
60 - 10 + 100 + 30 = 180
50 + 100 + 30 = 180
150 + 30 = 180
180 = 180 ✓
Answer: Suppose you're given the two points (–2, 1) and (1, 5), and they want you to find out how far apart they are. You can draw in the lines that form a right-angled triangle, using these points as two of the corners. It's easy to find the lengths of the horizontal and vertical sides of the right triangle: just subtract the x-values and the y-values.
Step-by-step explanation: Then use the Pythagorean Theorem to find the length of the third side (which is the hypotenuse of the right triangle):
c2 = a2 + b2
...so:
c
2
=(5−1)
2
+(1−(−2))
2
c = \sqrt{(5 - 1)^2 + (1 - (-2))^2}c=
(5−1)
2
+(1−(−2))
2
c = \sqrt{(4)^2 + (3)^2}c=
(4)
2
+(3)
2
c = \sqrt{16 + 9} = \sqrt{25} = 5c=
16+9
=
25
=5
Answer:
110°
Step-by-step explanation:
the supplement of an angle is 30 degrees less than twice the measure of the angle itself. find the angle and its supplement.
Let the angle be A, then its supplement = (180 - A)
Now, since the supplement is 30 degrees less than twice the measure of the angle itself, then we'll have:
180 - A = 2A - 30
-3A = - 210
A, or the angle = = 70 °
Its supplement, (180 - A) = 180 - 70 = 110°
Answer:
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