Answer:
(b) 5k+1
Step-by-step explanation:
https://www.symbolab.com/solver/step-by-step/simplify%20%5Cfrac%7B30k%5E%7B2%7D%2B6k%7D%7B5k%2Bk%7D
Answer:
y = -x - 4
Step-by-step explanation:
the equation of a linear graph is y = mx + b
you know the m = -1
so now the equation is y = -x + b
from here, what you could do to find b is...
plug (-1, -3) into the equation
1) x = -1, y = -3
2) -3 = -(-1) + b
3) -3 = 1 + b
4) -4 = b
or you can look at the y-intercept which is where the line intersects with the y-axis
it seems to be (0, -4)
so "b" would be equal to -4
this makes the final equation y = -x + (-4) or y = -x - 4
Your mom your mom your mom your dad your mom
Answer:
is the last one
Step-by-step explanation:
Answer:
c = 13
m∡A = 60°
m∡B = 30°
Step-by-step explanation:
This is a 5-12-13 triangle. However, to make sure, I will put the steps.
Allow for each sides to be denoted as a-b-c, in which c is the hypotenuse (longest side). Set the equation:
a² + b² = c²
Plug in the corresponding numbers to the corresponding variables:
5² + 12² = c²
Simplify. First, solve the exponents, and then add:
(5²) = 5 * 5 = 25
(12²) = 12 * 12 = 144
25 + 144 = c²
c² = 169
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, c, by rooting both sides:
√c² = √169
c = √169 = √(13 * 13) = 13
c = 13
13 is your answer for c.
Note the measurements of the angles. We know that this is a 30-60-90 triangle, and so it will be easy to figure it out. Note that the corresponding angles will depend on that of the opposite side's measurement lengths. The hypotenuse will always be on the opposite side of the largest angle (as given), as c, the longest side, is opposite of ∡C, which is the largest angle (90°). Based on this information, it means that ∡A would be 60° (as it is opposite of the middle number, 12), and ∡B would be 30° (opposite of the smallest number, 5).
