The points which represents the vertices of the given equation are; (15, −2) and (−1, −2).
<h3>Which points among the answer choices represents the vertices of the ellipse whose equation is given?</h3>
The complete question gives the equation of the ellipse as; (x-7)²/64+(y+2)²/9=1.
Since, It follows from convention that general equation of ellipse with centre as (h, k) takes the form;
(x-h)²/a² +(y-k)²/b² = 1.
Consequently, it follows from observation that the value of a and b in the given equation in the task content is; √64 = 8 and √9 = 3 respectively.
Since, 8 > 3, The vertices of the ellipse are given by; (h±a, k).
The vertices in this scenario are therefore;
(7+8, -2) and (7-8, -2).
= (15, -2) and (-1, -2).
Read more on vertices of an ellipse;
brainly.com/question/9525569
#SPJ1
Hello!
We are given the equation below.
x+40=3x
We want to get all of the variables on side. First of all let's subtract 40 from both sides.
x=3x-40
Now we rearrange our equation so the commutative property will work.
x=3x+(-40)
x=-40+3x
Now we subtract 3x from both sides.
-2x=-40
We divide both sides by -2.
x=20
Our answer is A) 20.
I hope this helps!
Answer:
The first six terms of this arithmetic sequence are: 30, 32, 34, 36, 38, 40
Step-by-step explanation:
The nth term of an arithmetic sequence is given by:
In which d is the common difference, that is, each term is increased by d.
d = 2, Po= 30
First term is 30, each consecutive is increased by 2. So
30, 32, 34, 36, 38, 40
To get the result we have to transform given formula into y=ax+b form.
Lets do this
5x+3y=6 /-5x (subtract 5x both sides)
3y=-5x+6 /:3 (divide both sides by 3)
y=
In form y=ax+b we know that a is slope and b is y intersect. We can read from our transformed equation that slope a=
and its the result
To order numbers, they need to all be under the form. So let's transform all this numbers to the decimal form.
3/5 = 0.6
-24% = -24/100 = -0.24
√9 = 3 = 3.0 (all integers are decimals with a zero after the decimal point)
-2 = -2.0
1.6 bar = 1.66666666666 (the bar above the 6 represents an endless number of the digit 6)
π² = 9.86........ endless
(4√5)/2 = 4.47...... endless
4(4/5) = 4 + 4/5 = 4 + 0.8 = 4.8
Now that we got all forms under the decimal form, we can order the numbers from least to greatest:
-2.0 < -0.24 < 0.6 < 1.6666 < 4.47 < 4.8 < 9.86 < 3.0
By correspondence, we get:
-2 < -24% < 3/5 < 1.6 bar < (4√5)/2 < 4(4/5) < π² < 3
Hope this helps! :D
