Hey DatGamer13!
Question:
Solve for x
Solution:
Subtract 10 from both sides.
3x^2 + 13x − 10 = 10 − 10
3x^2 + 13x − 10 = 0
Factor left side of equation.
(3x − 2) (x + 5) = 0
Set factors equal to 0.
3x − 2 = 0 or x + 5 = 0
Answer:
x = 2/3 or x = −5
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
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The chord that goes through the center of a circle, the diameter, is the longest chord in a circle. Any other chord will be shorter than this. The farther a chord is away from the circle, the shorter it will be. This means that chord CD is shorter than chord AB.
Answer: Sales tax is $4.80 and the total cost is $64.80
Step-by-step explanation: Take the difference in the total before and after tax and divide by the price before tax.
To get $4.80, find the sales tax of $60.00 of 8%
We can use this formula: (selling price x sales tax rate)
The sales tax is: $4.80
To find the total cost, add 60.00 by the sales tax. ($4.80)
60.00 + 4.80 = $64.80
Therefore, these are your answers: $4.80 and $64.80
