Answer:
Step-by-step explanation:
Slope-intercept form is 
, so if 
, then we have 
and we'll need to plug in 
to get 
, the y-intercept:
Therefore, the final equation in slope-intercept form is
Answer:
How many animals ? 11
Step-by-step explanation:
Answer:
a) Yes
b) Not a right triangle
Step-by-step explanation:
<h3><u>Part (a)</u></h3>
The sum of the lengths of any 2 sides of a triangle is greater than the length of the 3rd side.
7 + 8 = 15 > 9
7 + 9 = 16 > 8
8 + 9 = 17 > 7
Therefore, a triangle with side lengths 7, 8 and 9 <u>can</u> be made.
<h3><u>Part (b)</u></h3>
To determine if the triangle is a right triangle, use Pythagoras' Theorem:
a² + b² = c² (where a and b are the legs, and c is the hypotenuse)
The hypotenuse is the longest side, therefore:
Substituting these values into the formula:
⇒ a² + b² = c²
⇒ 7² + 8² ≠ 9²
⇒ 113 ≠ 81
As 7² + 8² ≠ 9² then the triangle is <u>not</u> a right triangle.
Answer:
slope=2
Step-by-step explanation:
subrtract -4-(-4) the two negatives make it a + so that becomes 8 and thats for the top one the bottom is 6-2 which is 4 then divide 8 by 4 to find the slope which is 2.
Answer:
<em>s</em> = 87.5
Step-by-step explanation:
We start with 170 + 35 - 5 = 2<em>s</em> + 25
We want to find the value of <em>s. </em>Since one side of the expression (170 + 35 - 5) isn't simplified yet, that's what we should start with.
Evaluate: 170+ 35 - 5
170 + 35 - 5 = 200
Now our equation is 200 = 2<em>s</em> + 25
Solve using algebraic methods:
Start by subtracting 25 from both sides of the equation to get:
175 = 2<em>s</em>
Then, divide both sides by 2:
87.5 = <em>s</em>
The final answer you get should be <em>s </em>= 87.5
Hope this helps!
