Zero product property to solve equations1. a^2+8a=0
2. (3h-6)(2h-8)=0
3. 6m^2+17m+5=0
4. y^2-36=0
5. (3g+4)^2=0
Answers
a(a) + (8) = 0
a(a + 8) = 0
a = 0 or a + 8 = 0
- 8 - 8
a = -8
2. (3h - 6)(2h - 8) = 0
(3(h) - 3(2))(2(h) - 2(4)) = 0
(3(h - 2))(2(h - 4)) = 0
6(h - 2)(h - 4) = 0
6 6
(h - 2)(h - 4) = 0
h - 2 = 0 or h - 4 = 0
+ 2 + 2 + 4 + 4
h = 2 h = 4
3. 6m² + 17m + 5 = 0
6m² + 15m + 2m + 5 = 0
3m(2m) + 3m(5) + 1(2m) + 1(5) = 0
3m(2m + 5) + 1(2m + 5) = 0
(3m + 1)(2m + 5) = 0
3m + 1 = 0 or 2m + 5 = 0
- 1 - 1 - 5 - 5
3m = -1 2m = -5
3 3 3 3
m = ⁻¹/₃ m = -1²/₃
4. y² - 36 = 0
y² - 6y + 6y - 36 = 0
y(y) - y(6) + 6(y) - 6(6) = 0
y(y - 6) + 6(y - 6) = 0
(y + 6)(y - 6) = 0
y + 6 = 0 or y - 6 = 0
- 6 - 6 + 6 + 6
y = -6 y = 6
5. (3g + 4)² = 0
(√(3g + 4))² = √(0)
3g + 4 = 0
- 4 - 4
3g = -4
3 3
g = -1¹/₃
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Answers
- odd number ++plus even number
odd number
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7 + 47 + 47 plus, 4 = 101 + 4 = 105that is odd
11 + 311 + 3 = 325
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Answers
Answer:
Y=-4x+2/3
Step-by-step explanation:
-3y=-4x-2
Y=-4x+2/3
Answer:
The answer is y = 4/3x + 2/3
B) Y= -3
C) X= 3
D) X= -3
Answers
Answer:
Step-by-step explanation:
Relation between focus, vertex and directrix-
The vertex of the parabola is at equal distance between focus and the directrix. As any point on the parabola is equidistant from both focus and directrix.
And the directrix is always perpendicular to axis of symmetry and does not touch the parabola.
From the graph, the focus is at (3, 0) and axis of symmetry is x axis or y=0 line.
So the directrix will be horizontal and on the left of the parabola.
Hence, the equation of directrix of the given parabola will be x= -3
^3 sqrt 5
^3 sqrt 25
sqrt 5
Answers
Answer: is equivalent to the given expression.
Step-by-step explanation:
Given expression,
we can write, =
(because,
)
⇒ =
⇒ =
(because,we can write, )
B.sin (a/c)
C. tan^-1 (c/a)
D. cos^-1 (c/a)
Answers
tan(C) = c/a
We can use an inverse ratio to find the measure of <C.
C = tan^-1(c/a)
Therefore:
C=tan⁻¹(c/a)
So your answer is C.
Answers
Answer:
0.3907.
Step-by-step explanation:
Using trigonometric identities, we can write cos 23° in terms of sin 23° as, cos(23°) = √(1 - sin²(23°)). Here, the value of sin 23° is equal to 0.3907.
Answer:
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