Answer:
The correct answer: F (Scalene) and A (Acute)
Step-by-step explanation:
F. (Scalene): By definition, a scalene triangle is a triangle that has no equal sides, and no equal angles. This definition matches your given triangle, since it has no equal sides and angles.
A. (Acute): By definition, an acute triangle is a triangle in which all the internal angles are less than 90 degrees. This definition matches your given triangle, since all of the internal angles are less than 90 degrees.
The given triangle is not obtuse, equilateral, right, and isoceles.
It is <u>not</u> an <em>obtuse </em>triangle because none of the angles are greater than 90 degrees.
It is <u>not</u> an <em>equilateral</em> triangle because its sides are not equal.
It is <u>not</u> a <em>right</em> triangle because none of its internal angles measure 90 degrees.
And it is <u>not</u> an <em>isoceles</em> triangle because by definition, an isoceles triangle must have two equal sides. Your given triangle has no equal sides.
3.
4^3 is equal to 64. Therefor log4(64) must be equal to 3.
The distance between two points (x₁,y1),(x₂,y₂) is d
For the given problem we have
<span>W(1,8),X(7,8),Y(4,5), and Z(1,2)
The length of WY = </span>
= 3√2
The length of WX =
= 6
The length of WZ =
= 6
The length of XY = <span><span>
= 3√2
</span>The length of ZY = </span><span>
= 3√2
∴ WX = WZ ⇒⇒⇒ proved
XY = ZY ⇒⇒⇒ proved
WY = WY ⇒⇒⇒ reflexive property
∴ Δ</span><span>WYZ is congruent to ΔWYX by SSS method</span>
(3x+2)(x-7)
All you need to do is FOIL.
3x^2-7x+2x-14
3x^2-5x-14
You can solve this by substitution:
x + y = -6
y = -6-x
Substitute for y in xy = -7:-
x(-6 - x) = -7
-x^2 - 6x = -7
x^2 + 6x - 7 = 0
(x + 7)(x - 1) = 0
so x = -7, 1
To find the values of y plug these va;ues of x into the equation x + y = -6:-
when x = -7, y = -6 + 7 = 1
when x = 1, y = -6 - 1 = -7
so answer is x = -7 and y = 1
and x = 1 and y = -7
