To find out if a triangle is a right triangle, you can use the Pythagorean theorem(which can only be used for right triangles):
a² + b² = c² (c is the hypotenuse or the longest side) And you can plug in the side lengths into this equation. If they are the same number on both sides, it is a right triangle, if they are different numbers it is not a right triangle.
6.) a² + b² = c²
(4√3)² + (11)² = (13)²
(16(3)) + 121 = 169
48 + 121 = 169
169 = 169 It IS a right triangle
7.) a² + b² = c²
(5)² + (2√14)² = (9)²
25 + (4(14)) = 81
25 + 56 = 81
81 = 81 It IS a right triangle
8.) a² + b² = c²
(6)² + (√49)² = (√82)²
36 + 49 = 82
85 = 82 It is NOT a right triangle
9.) a² + b² = c²
(13)² + (2√39)² = (16)²
169 + (4(39)) = 256
169 + 156 = 256
325 = 256 It is NOT a right triangle
Answer:
y = - 
x + 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mc + c ( m is the slope and c the y- intercept )
Here m = - and crosses the y- axis at (0, 10 ) ⇒ c = 10
y = - x + 10 ← equation of line
Y = 6
Since there is no slope the equation would look like this y=0x+6
Well 0 times x is 0 so y=+6
Answer:
4 people
Step-by-step explanation:
Let's first write an equation.
We want to find the number of tickets t
The total was $49 so our equation will equal $49 and they spent $15 in snacks so on the other side of the eqaution we have to add $15, on the same side as the snacks we need to add in the cost of tickets, which is $8.50 multiplies by t, or the total number of tickets.
$49 = $8.50t + $15
Solve for t, first subtract $15 from both sides.
$49 - $15 = $8.50t
$34 = $8.50t Divide both sides by $8.50
$34/$8.50 = $8.50t/$8.50
$34/$8.50 = t
4 = t
4 tickets meaning 4 people went.
