Answer:
He needs to get up at 6:30 am.
Step-by-step explanation:
- convert all time to minutes (easier to add times and you can later convert back to hours)
- add all the minutes up
- divide by 60
- subtract the quotient from 9 (since that is the time he needs to get there)
- you should get 6.5 which is 6:30
Area of a triangle is 0.5* perpendicular height* base
0.5*4*8
Where four is the perpendicular height and eight is the base
Therefore, area is equal to 16
The value of x and y in the equation -5x + 8y = -21 and 3x - 4y = 15 are 9 and 4 respectively.
<h3>What is an equation?</h3>
An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
The equation is given as:
-5x + 8y = -21
3x - 4y = 15
Multiply equation i by 3
Multiply equation ii by 5
-15x + 24y = -63
15x - 20y = 75
Add both equations
4y = 12
Divide
y = 12/4
y = 3
From 3x - 4y = 15
3x - 4(3) = 15
3x - 12 = 15
Collect like terms
3x = 12 + 15
3x = 27
Divide
x = 27/3
x = 9
Therefore, x = 9 and y = 4.
Learn more about equations on:
brainly.com/question/2972832
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<h3>
Answer: x-3</h3>
Since p(3) = 0, this means x = 3 plugs into p(x) to get 0
We can write p(x) as p(x) = (x-3)q(x) where q(x) is some other polynomial that multiplies with (x-3) to lead to x^3-3x^2-x+3
Let's plug in x = 3 and see what happens
p(x) = (x-3)q(x)
p(3) = (3-3)q(3)
p(3) = 0*q(3)
p(3) = 0
No matter what the result of q(3) was, it doesn't matter because it multiplies with 0 to get 0.
The general rule is: if p(k) = 0, then x-k is a factor of p(x). This is a special case of the remainder theorem.
Answer:
A, C, E
Step-by-step explanation:
-4 + (4+5) = 5
A: (4 - 4) + 5 = 5, equivalent
B: (-4 - 4) + 5 = -3, not equivalent
C: -(4-4) + 5 = 5, equivalent
D: -(4) + (-4) + 5 = -3, not equivalent
E: -4 + 4 +5 = 5, equivalent
