Answer:
1 ± √47
Step-by-step explanation:
Combine like terms in 2x^2 +3 x-7 =x^2 +5x +39:
2x^2 - x^2 = x^2 (first term);
3x - 5x = -2x (second term);
-7 - 39 = -46 (third term)
Then we have, all on the left side, x^2 - 2x - 46, which is a quadratic equation. Here the coefficients are a = 1, b = -2 and c = -46.
Then the discriminant, b^2 - 4ac, is:
(-2)^2 - 4(1)(-46) = 4 + 184.
The roots are:
-(-2) ±√188 2 ± √4√47
------------------- = -------------------
2 2
= 1 ± √47 (last of the answer choices)
=
x = ------------------
Answer:
The equation of a vertical ellipse is
Step-by-step explanation:
Here, given:
Length of major axis: 20
⇒ 2 a = 20 , or , a = 10
Length of minor axis: 12
⇒ 2 b = 12 , or , b = 6
Also, center (h,k) = (6,3)
Now, STANDARD EQUATION OF ELLIPSE :
Now, substituting the values, a, b , h and k in above expression, we get:
or,
Hence, the equation of a vertical ellipse is
Answer: The answer is down below
Step-by-step explanation:
While we have learned about what heat is in quick succession, it is also important to learn about how it is measured and the unit of heat. Let’s discuss them below.
SI Unit of Heat
Generally, in the SI system, all forms of energy are measured in terms of joules. Notably, heat is a form of energy, and therefore the SI unit of heat is also joules (J) which are defined as the amount of energy needed to raise the temperature of a given mass by one degree. Usually, 4.184 joules of heat energy is necessary to increase the temperature of a unit weight (say 1 g) of water from 0 degrees to 1 degree Celsius.
Other Heat Units
In the CGS system, heat is expressed in the unit of calories which is further said to be the heat energy needed to increase the temperature of 1 gm of clean water by one degree Celsius. Sometimes kilocalorie (kcal) is also referred to as a unit of heat where 1 kcal = 1000 cal.
Additionally, the British thermal unit (BTU), which is part of the imperial system, is also used to measure or calculate heat.
The answer is 4pi because the formula to find the circumference is C = 2 pi r. this question is asking for the terms of pi which means you remove the pi from the formula and solve it with out it. the radius is 2 because of the 2 units on the graph is halfway of the circle. you would just multiply 2 x 2 and get 4. after that you put the pi on the end of the 4. so the answer is C. (4pi)
The point-slope form of a line:
We have the points (-9, -5) and (2, -4). Substitute:
The standard form of a line:
<em>multiply both sides by 11</em>
<em>subtract 9 from both sides</em>
<em>subtract 11y from both sides</em>