Answer:
x=4
Step-by-step explanation:
-x=1-5 (subtract 5 from both sides to isolate the x variable)
-x= -4 (1-5= -4)
x=4 (divide both sides by -1 so the x will not be a negative.)
Therefore, your answer will be x=4. Hope this helps! :)
Answer:
y = -3x + 7
Step-by-step explanation:
Choosing two points from the given table:
Let (x1, y1) = (-3, 16)
(x2, y2) = (-1, 10)
Plug these given values into the slope formula:
m = (y2 - y1)/(x2 - x1)
= (10 - 16) / (-1 - (-3))
= -6 / (-1 + 3)
= -6/2
= -3
Therefore, the slope is -3.
Next, choose one of the points and plug into the <u>point-slope form</u>:
Let's use (-1, 10) as (x1, y1):
y - y1 = m(x - x1)
y - 10 = -3(x - (-1))
y - 10 = -3(x + 1)
y - 10 = -3x - 3
Add 10 on both sides to isolate y:
y - 10 + 10 = -3x - 3 + 10
y = -3x + 7
Answer:
c
Step-by-step explanation:
its right
Sometimes it helps to draw it out...
(17)
C_______M_________Q
|___________________|
21
therefore, CM + MQ = CQ
17 + MQ = 21
MQ = 21 - 17
MQ = 4 <===
Answer:
The measure of angle K is 118°
Step-by-step explanation:
The sum of the internal angles of a quadrilateral is 360°. So, in this case, we can formulate the following equation:
K + L + M + J = 360°
Where K, L, M, and J represent the measure of the angle K, L, M and J respectively.
From the figure we know that: L is 46°, M is 118° and J is 78°. Replacing these values on the initial equation and solving for K we get:
K + 46° + 118° + 78° = 360°
K + 242° = 360°
K = 360° - 242°
K = 118°
So, the measure of angle K is 118°
Hope this helps :)