Answer:
If b=-3 then the first expression is equal to 24 and the second expression is equal to -14.
If b=-2 then the first expression is equal to 8 and the second expression is equal to -36.
If b=10 then the first expression is equal to 440 and the second expression is equal to 324.
Yes, it is true.
Step-by-step explanation:
b=-3:
4b(b+1)=4(-3)(-3+1)=-12(-2)=24
(2b+7)(2b-8)=(2(-3)+7)(2(-3)-8)=(-6+7)(-6-8)=1(-14)=-14
b=-2:
4b(b+1)=4(-2)(-2+1)=-8(-1)=8
(2b+7)(2b-8)=(2(-2)+7)(2(-2)-8)=(-4+7)(-4-8)=3(-12)=-36
b=10:
4b(b+1)=4(10)(10+1)=40(11)=440
(2b+7)(2b-8)=(2(10)+7)(2(10)-8)=(20+7)(20-8)=27(12)=324
Answer:
Equilateral triangles are always acute triangles.
Scalene triangles are sometimes acute triangles.
Right triangles are never acute triangles.
Obtuse triangles are sometimes isosceles triangles.
Step-by-step explanation:
Equilateral triangles are always acute because each angle is 60⁰.
Scalene triangles have sides that are different lengths. They can be right, obtuse, or acute.
A right triangle is never acute because it has a 90⁰ angle. Acute means all angles are less than 90⁰.
An obtuse triangle can be either scalene or isosceles. It always has one angle greater than 90⁰ (obtuse).
A. 2x^2 - 3x + 10 = 2x + 21
2x^2 - 3x - 2x + 10 - 21 = 0
2x^2 - 5x - 11 = 0 (quadratic equation)
2x^2 - 6x - 7 = 2x^2
2x^2 - 2x^2 - 6x - 7 = 0
-6x - 7 = 0 (not a quadratic equation)
5x^2 + 2x - 4 = 2x^2
5x^2 - 2x^2 + 2x - 4 = 0
3x^2 + 2x - 4 (quadratic equation)
5x^3 - 3x + 10 = 2x^2
5x^3 - 2x^2 - 3x + 10 = 0 (not a quadratic equation)
Therefore, options a and c can be solved using the quadratic formula.
Answer:
B. 77
Step-by-step explanation:
7 + x = 84
Subtract 7 from both sides
x = 77