Answer: it is -1
Step-by-step explanation: rate of change can be defined as Δy/Δx, or the change in y over the change in c (commonly referred to as rise over run). By looking at the numbers we can see that the relationship modeled is linear (has a constant rate of change), so we are able to use this formula to calculate its rate of change. Simply calculate the change between any two values of y and (the associated) values of x and divide them to obtain your solution. I’m not the best at explaining math in words so here is the solution represented symbolically:
Rate of change = Δy/Δx
Δy/Δx = (y2-y1)/(x2-x1)
(y2-y1)/(x2-x1) = (1 - (-2))/(2 - 5) //the selected values for y2,y1,x2, and x1 are the last and first values for each, respectively.
3/-3 = -1
Answer:
Step-by-step explanation:
9=-d+17
(add d to both sides because it is the opposite of subtracting)
9+d=17
(subtract 9 from both sides because it is the opposite of adding)
d=17-9=8
Answer:
Step-by-step explanation:
Triangle IJK is a right angle triangle.
From the given right angle triangle
JK represents the hypotenuse of the right angle triangle.
With ∠K as the reference angle,
IK represents the adjacent side of the right angle triangle.
IJ represents the opposite side of the right angle triangle.
To determine Cos K, we would apply trigonometric ratio
Cos θ = adjacent side/hypotenuse. Therefore,
Cos K = 36/85
Cos K = 0.4235
Rounding up to the nearest hundredth,
Cos K = 0.42
Answer:
the answer is 1
Step-by-step explanation:
If you do 1441-11 you get 1430.
no other number gives you 0.
Explanation:
There may be a more direct way to do this, but here's one way. We make no claim that the statements used here are on your menu of statements.
<u>Statement</u> . . . . <u>Reason</u>
2. ∆ADB, ∆ACB are isosceles . . . . definition of isosceles triangle
3. AD ≅ BD
and ∠CAE ≅ ∠CBE . . . . definition of isosceles triangle
4. ∠CAE = ∠CAD +∠DAE
and ∠CBE = ∠CBD +∠DBE . . . . angle addition postulate
5. ∠CAD +∠DAE ≅ ∠CBD +∠DBE . . . . substitution property of equality
6. ∠CAD +∠DAE ≅ ∠CBD +∠DAE . . . . substitution property of equality
7. ∠CAD ≅ ∠CBD . . . . subtraction property of equality
8. ∆CAD ≅ ∆CBD . . . . SAS congruence postulate
9. ∠ACD ≅ ∠BCD . . . . CPCTC
10. DC bisects ∠ACB . . . . definition of angle bisector
