Please help thank you.
1 answer:
Question 1:
All sides of an equilateral triangle are equal.
7x - 5 = 3x + 15
Add both sides by 5 and subtract both sides by 3x
4x = 20
x = 5
(Whoa! Watch out for the first choice! We're looking for the length of a side, not the value of x)
Plug x = 5 into 3x + 15.
You get 30. All the sides have a length of 30 in.
The last choice is your answer.
Question 2:
Draw it (or just look at the image).
I'm a terrible artist.
Angle CAB = Angle ACB
Angle CAB + Angle ACB + Angle ABC = 180
2 * Angle CAB + Angle ABC = 180
2x - 6 + 4x - 3 = 180
6x = 189
x = 31.5
(Again! Watch out! We're not looking for the value of x!)
Angle CAB = Angle ACB = x -3 = 31.5 - 3 = 28.5
The first choice is your answer.
Question 3:
The second choice is your answer.
There's not much explanation... That's what it's called.
Have an awesome day! :)
All sides of an equilateral triangle are equal.
7x - 5 = 3x + 15
Add both sides by 5 and subtract both sides by 3x
4x = 20
x = 5
(Whoa! Watch out for the first choice! We're looking for the length of a side, not the value of x)
Plug x = 5 into 3x + 15.
You get 30. All the sides have a length of 30 in.
The last choice is your answer.
Question 2:
Draw it (or just look at the image).
I'm a terrible artist.
Angle CAB = Angle ACB
Angle CAB + Angle ACB + Angle ABC = 180
2 * Angle CAB + Angle ABC = 180
2x - 6 + 4x - 3 = 180
6x = 189
x = 31.5
(Again! Watch out! We're not looking for the value of x!)
Angle CAB = Angle ACB = x -3 = 31.5 - 3 = 28.5
The first choice is your answer.
Question 3:
The second choice is your answer.
There's not much explanation... That's what it's called.
Have an awesome day! :)
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Answer:
J. The equation has one real solution and two complex solutions.
Step-by-step explanation:
Complex solutions come in pairs, so there can only be an even number of them. So we can rule out G, H, and K.
To find the other roots, we can factor using either long division or grouping. To use long division, see the attached picture. To use grouping:
3x³ − 4x² + x − 10 = 0
3x³ − 6x² + 2x² + x − 10 = 0
3x² (x − 2) + (2x + 5) (x − 2) = 0
(x − 2) (3x² + 2x + 5) = 0
The other factor is 3x² + 2x + 5. The discriminant of this is (2)² − 4(3)(5) = -56. Since the discriminant is negative, the roots are complex.
