Time taken by Ria to paint a room = 4 hours
Time taken by Destiny to paint a room = 6 hours
If they work together, they complete 1 job. So,
![\frac{1x}{4}+\frac{1x}{6}=1](https://tex.z-dn.net/?f=%5Cfrac%7B1x%7D%7B4%7D%2B%5Cfrac%7B1x%7D%7B6%7D%3D1)
The LCD of 4 and 6 is 12
![\frac{3x+2x}{12}=1](https://tex.z-dn.net/?f=%5Cfrac%7B3x%2B2x%7D%7B12%7D%3D1)
![\frac{5x}{12}=1](https://tex.z-dn.net/?f=%5Cfrac%7B5x%7D%7B12%7D%3D1)
![5x=12](https://tex.z-dn.net/?f=5x%3D12)
![x=\frac{12}{5}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B12%7D%7B5%7D)
Hence, both of them can paint the room in
hours or 2.4 hours.
Answer:
66
Step-by-step explanation:
multiply everything together
Answer:
-1, -1
Step-by-step explanation:
Answer:
y = -2x^2 - 4x - 1
Step-by-step explanation:
We can see that the graph passes through (-2, -1), (-1, 1) and (0, -1).
Let's solve
ax^2 + bx + c = y
a(-2)^2 + b(-2) + c = -1
4a - 2b + c = -1
a(-1)^2 + b(-1) + c = 1
a - b + c = 1
a0^2 + b0 + c = -1
c = -1
we got c = -1 so we input it into the other 2
4a - 2b - 1 = -1
4a - 2b = 0
2a - b = 0
2a = b
a - b - 1 = 1
a - b = 2
a = b + 2
Let's input b = 2a
a = 2a + 2
-a = 2
a = -2
b = 2a = 2*(-2) = -4
c = -1
y = -2x^2 - 4x - 1
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
Let's first establish that the shape is a triangle meaning that the following formula is applicable as displayed below:
Angle sum of a triangle = 180°
As well as this, the shape is an equilateral triangle meaning that each angle of the triangle is equivalent in value. Also, the following formula is also applicable as displayed below:
Each angle of an equilateral triangle = the same value
Therefore:
Each angle of an equilateral triangle = angle sum of a triangle ÷ no. of angles in a triangle = 180° ÷ 3 = 60°
Based on this, the following is applicable:
2x - 4 = 60°
2x = 60 + 4
2x = 64
x = 64 / 2
x = 32°
ANSWER:
Therefore, the answer is:
The value of ( x ) is 32°
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