Answer:
-1
Step-by-step explanation:
Complete y2 - y1 over x2 - x1 with your given points:
-2 - 5 = -7
_____ ____
3 - (-4) = 7
= ⁻⁷⁄₇ = -1 Simplify to lowest term
Answer:
k ≥ 1
Step-by-step explanation:
Step 1: Write inequality
4(k - 5) + 12k ≥ -4
Step 2: Solve for <em>k</em>
- Distribute 4: 4k - 20 + 12k ≥ -4
- Combine like terms: 16k - 20 ≥ -4
- Add 20 to both sides: 16k ≥ 16
- Divide 16 on both sides: k ≥ 1
Answer:
(x, y) = (4, 3)
Step-by-step explanation:
The first equation gives an expression for y that can be substituted into the second equation:
3(2x -5) -x = 5
5x -15 = 5 . . . . . . simplify
5x = 20 . . . . . . . .add 15
x = 4 . . . . . . . . . . divide by 5
y = 2(4) -5 = 3 . . substitute for x in the first equation
(x, y) = (4, 3)
__
Solution by graphing confirms this result.
Answer:
The Length of <em>JK</em> is 10
Step-by-step explanation:
Because <<em>J </em>is congruent to <<em>L</em> we know that the triangle in question must be isosceles as in an isosceles triangle two angles opposite of each other are equal. (This is also true for equilateral triangles, however, in an equilateral triangle all sides must be congruent, so we can rule equilateral out as <em>LJ </em>is not congruent to <em>KL.) </em>This means that the triangle must be isosceles.
In an isosceles triangle the side opposite each other are congruent, and the angles opposite each other are congruent when split down the line of symmetry.
Therefor, the length of <em>JK </em>must be congruent to the length of <em>KL. </em>In other words if <em>JK </em>= 10, then <em>KL </em>must equal 10 as well.
