Answer:60 I think
Step-by-step explanation: 6x10= 60
Find the vertex form Y=3(x+3^2-34
14.375 hours a week hope this helps, mark as brainlyest
Answer:
19, 58 and 103
Step-by-step explanation:
Okay. Here we need to convert whatever statements we have into a mathematical expression.
Firstly, let’s give the smallest angle a value of x. Where do we now go from here? The measure of one angle is 1 degree greater than 3 times the size of the smallest angle. This means the value of the second angle is 3x + 1
Now for the third angle, the question stated that the third angle is thirteen degrees less than twice the measure of the second angle. The value for this is: 2( 3x + 1) - 13
Now when we add all these angles, surely, we get a result equal to 180.
x + 3x + 1 + 2(3x + 1) - 13 = 180
4x + 1 + 6x + 2 - 13 = 180
10x - 10 = 180
10x = 190 and x = 19.
Now the measure of the other angles are as follows:
3x + 1 = 3(19) + 1 = 57 + 1 = 58
2(3x + 1) - 13 = 2(58) - 13 = 103
Answer: x = 2
y = 2
Step-by-step explanation:
The given system of equations is expressed as
y = x²- 3x + 4- - - - - - - - - - - - -1
x + y = 4- - - - - - - - - - - -2
We would the method of substitution by substituting equation 1 into equation 2. It becomes
x + x²- 3x + 4 = 4- - - - - - - - - - -3
x² + x - 3x + 4 = 4
x² - 2x + 4 = 4
Subtracting 4 from the left hand side and the right hand side of the equation, it becomes
x² - 2x + 4 - 4 = 4 - 4
x² - 2x = 0
Adding 2x to the left hand side and the right hand side of the equation, it becomes
x² - 2x + 2x = 0 + 2x
x² = 2x
Dividing the left hand side and the right hand side of the equation by x, it becomes
x²/x = 2x/x
x = 2
Substituting x = 2 into equation 1, it becomes
y = 2²- 3 × 2 + 4
y = 4 - 6 + 4
y = 2