Answer:
true
Step-by-step explanation:
they are the same, but they are positioned in other ways and or places
Answer:
square roots
quadratic formula
factoring
complete the square
Step-by-step explanation:
1. In the first one, we can divide both sides by -2 and then square root it, getting x^2 = -98 so x = 7i \sqrt(2).
2. We can use the quadratic formula to find out the second one.
3. We can factor 4x^2 - 21x - 18 = 0 and get (x + 6)(4x - 3).
4. In the last one, we can complete the square, getting (x + 9)^2 + 16.
Answer: <em>Yes</em>, a coefficient can have two variables.
Answer:
Measure of angle M = 41°
Step-by-step explanation:
From the figure attached,
NM ≅ NO [Given]
Therefore, ∠O ≅ ∠M [Opposite angle of the equal sides]
By triangle sum theorem,
m∠O + m∠N + m∠M = 180°
m∠O + m∠N + m∠O = 180° [Since, ∠M ≅ ∠O]
By substituting the values of the given angles,
(4y - 15)° + (7y)° + (4y - 15)° = 180°
(15y - 30) = 180
15y = 210
y = 14
Therefore, m∠M = (4y - 15)°
= 4(14) - 15
= 56 - 15
= 41°
Answer:
The length of new ramp is 49.03 ft.
Step-by-step explanation:
It is given that 26 ft long ramp is used to reach 10 ft up a wall. The ramp covers a horizontal distance of 24 ft.
If the horizontal distance is doubled, then the horizontal distance is 48 ft. The height remains same. Therefore the height of ram is 10 ft.
Use pythagoras in new right angle triangle.
Therefore the length of new ramp is 49.03 ft.
