Your missing angle will be 73 degrees, because the angles all add up to 180. So you add 33 and 74 then subtract that from 180
Answer:
y = 2x + 6
Step-by-step explanation:
y = mx + n
m = slope = 2
y = 2x + n
Plugging in x=-1 and y =4 gives:
4 = 2*(-1) + n <=> 4 = -2 + n <=> n = 6.
So y = 2x + 6.
Answer:
9 and -4
Step-by-step explanation:
change the word form to math form so now
x² - 36 = 5x <u>This look like a factoring problem, so we put it equal to 0</u>
x² - 5x - 36 = 0 <u>Now factor</u>
(x - 9) (x + 4) <u>We have to find 2 numbers that give -36 when we multiply and -5x when we add</u>
x - 9 = 0
x = 9
x + 4 = 0
x = -4
you can check by plugin the x value to actual equation.
Answer:
Step-by-step explanation:
5(-3k+5)=-4K+k+1
Opening bracket
-15k + 25 = -4k + k + 1
-15k + 4k - k = 1 - 25
-12k = -24
k = -24/-12
k = 2
Answer:
I) f + g = 10/3
II) 4f + 2g = 20/3
III) f = 2 and g = 4/3
Step-by-step explanation:
From the chart,
P = 25
q = 40
The total number of one centimeter lines in the first n diagrams is given by the expression
2/3n^3 + fn^2 + gn.
When n = 1, the total number of line = 4. So,
2/3(1)^3 + f(1)^2 + g(1) = 4
2/3 + f + g = 4
Make f+g the subject of formula
f + g = 4 - 2/3
f + g = (12 - 2)/3
f + g = 10/3 ......(1)
When n = 2
Total number of line = 12
2/3(2)^3 + f(2)^2 + g(2) = 12
2/3×8 + 4f + 2g = 12
16/3 + 4f + 2g = 12
4f + 2g = 12 - 16/3
4f + 2g = (36 - 16)/3
4f + 2g = 20/3 ......(2)
(iii) To find the values of f and g, solve equation 1 and 2 simultaneously
f + g = 10/3 × 2
4f + 2g = 32/3
2f + 2g = 20/3
4f + 2g = 32/3
- 2f = - 12/3
f = 12/6
f = 2
Substitutes f in equation 1
f + g = 10/3
2 + g = 10/3
g = 10/3 - 2
g = (10 - 6)/3
g = 4/3