Answer:
The first x = 4
The second x = 6.25
Step-by-step explanation:
For the first question. We need to make use of the midsegment theorem which says, if you have a trapezoid with base1 and base2, then the midsegment is given as:
(Base1 + Base 2)/2.
We are given Base 1 = 5x + 3 and Base 2 = 12x – 3 and the midsegment, JK = 34. To find x we have:
(5x + 3 + 12x – 3)/2 = 34
This gives: 17x/2 = 34.
Therefore, x = (34 x 2)/17 = 4. Thus, x = 4.
As for the second question, we have two diagonals of the rectangle, FH and JG. We are given that JG = 40. We know that the diagonals of the rectangle are equal, therefore FH = 40 as well.
We are told that M is the midpoint, meaning FM is half of the diagonal FH. Mathematically this can be written as:
FM = FH/2
Given that FM = 3.2x and FH = 40, we have:
3.2x = 40/2
3.2x = 20
x = 20/3.2
x = 6.25
Answer:
19/12 = 1 7/12
Step-by-step explanation:
add 3/4 + 5/6 and you got your answer!
hope this helps
Hello!
Since we are given the zeros for each function, we can write the equation in factored form first, and then we can simplify it into standard form. Remember that if you were to use the zero product property to find the zeros of a quadratic function, you would need to subtract or add the factors to find the zeros.
1. x = -2 and x = -5
(x + 2)(x + 5) = 0
x² + 7x + 10 = 0
2. x = -2 and x = 0
x(x + 2)
x² + 2x = 0
3. x = -2
(x + 2)² = 0
x² + 4x + 4 = 0
Therefore, the answer to question one is x² + 7x + 10 = 0, the answer to question two is x² + 2x = 0, and the answer to question 3 is x² + 4x + 4 = 0.
Answer:
y = -3x
Step-by-step explanation:
Equation of the line going through the origin: y = mx
Substitute any point in the above equation.
Here, Chosen point( 1 ,-3)
-3 = m*1
m = -3
Equation of the line: y = -3x
