Answer:
i) x = 65° ii) x = 60° iii) x = 34°
y = 50° y = 80° y = 124°
Step-by-step explanation:
i) x = 180-115= 65°
y = 65+65= 130
= 180-130= 50°
ii) x = 90+30= 120
180-120= 60°
y = 60+20= 80
180-80 = 100
180-100= 80°
iii) y = 34+90= 124
x = 180-124= 56
56+90= 146
180-146= 34°
<em><u>I hope this helped, mark me brainliest please :)</u></em>
Answer:
The solution is x = 2 and x = 4
Step-by-step explanation:
<em>Let us revise some rules in logarithmic function:</em>
- The logarithmic function is the inverse of the exponential function
- is the inverse of
<em>Let us solve the question</em>
∵
→ By using the first rule above
∴
→ Multiply x by (6 - x)
∵ x(6 - x) = x(6) - x(x) = 6x - x²
∴
→ Change the logarithmic function to exponential function using
the second rule above
∴
∵ 2³ = 8
∴ 8 = 6x - x²
→ Add x² to both sides
∴ x² + 8 = 6x
→ Subtract 6x from both sides
∴ x² - 6x + 8 = 0
→ Factorize it into 2 brackets
∴ (x - 2)(x - 4) = 0
→ Equate each factor by 0 to find the values of x
∵ x - 2 = 0
→ Add 2 to both sides
∴ x = 2
∵ x - 4 = 0
→ Add 4 to both sides
∴ x = 4
∴ The values of x are 2 and 4
∴ The solution of the equation is x = 2 and x = 4
Answer:
x
+
2
y
−
9
Step-by-step explanation:
To find the slope of a line, we need to use the formula for finding slope, m, which is:
m = change in y/change in x = y2-y1/x2-x1
This means that we must use the given ordered pairs and substitute these values into the formula above. However, it is important to remember that x1 and y1 should be from the same pair and x2 and y2 should be from the other pair, otherwise you will get the wrong answer.
Let's let (x1, y1) be (7,3) and (-5,9) be (x2, y2).
Now, we must plug into the formula.
m = (9-3)/(-5-7) = 6/(-12) = -1/2
Therefore, the slope between these two points is -1/2.
Hope this helps!
.16 because the square root of 16 is 4, then you would want to divide 4 by 25.. which would equal .16 or 4/25