Answer:
u & v = 8
Step-by-step explanation:
This triangle is a special 45-45-90 triangle!
In a 45-45-90 triangle, to solve for the hypotenuse use the formula
Here we see that 8 is being multiplied by radical 2!
We can prove that 8 is the side length by using the Pythagorean Theorem!
The solution of the system of equations is (6 , -7)
Step-by-step explanation:
There are two method to solve the system of equations
- Elimination method: we make the coefficients of one variable in the two equations have same values and different signs, then we add the two equations to eliminate this variable and have an equation of other variable, we solve it to find the other variable, then substitute the value of this variable in one of the two equations to find the first variable
- Substitution method: We use one of the two equations to find one variable in terms of the other, then substitute it in the second equation to have an equation of the other variable, we solve it to find the other variable, then substitute the value of this variable in the equation of the first variable
Let us use the elimination method with your problem
∵ 3x + 2y = 4 ⇒ (1)
∵ 3x + 6y = -24 ⇒ (2)
- Multiply equation (1) by -1 to eliminate x ⇒ to make the coefficients of x in the two equations have same values and different signs
∵ -3x - 2y = -4 ⇒ (3)
- Add equations (2) and (3)
∴ 4y = -28
- Divide both sides by 4
∴ y = -7
Substitute value of y in equations (1) OR (2) to find x
∵ 3x + 2(-7) = 4
∴ 3x - 14 = 4
- Add 14 for both sides
∴ 3x = 18
- Divide both sides by 3
∴ x = 6
The solution of the system of equations is (6 , -7)
<em>I hope this explanation help you</em>
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Answer:
14
Step-by-step explanation:
If Donnie is 3 times younger than Donnie's dad, that adds up to four parts. In other words, Donnie is 1/4 his dads age. So, divide 56 by four and you have Donnie's age. The rest is Donnie's dad age.
Answer:
3*(5x + 2) choice A
Step-by-step explanation:
(5x + 2) + (5x + 2) + (5x + 2) for all values of x
(5x + 2) + (5x + 2) + (5x + 2) = 3*(5x + 2) choice A
Answer:
For the 1st row its Line Graph and Changes over time.
For the 2nd Row its Bar Graph and Categorical.
Step-by-step explanation:
