Divide the first one to 2 rectangles by drawing a line and then find the area of both rectangles, then add them.
The second one is divided in to 2 trapezoids. Find the area of both trapezoids and then add them.
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<u>Answer:</u>
K = (e, d)
<u>Step-by-step explanation:</u>
We are given the coordinates of three vertices of a rectangle and we are to find the coordinates of the fourth point J.
H (0, 0)
I (0, d)
K (e, 0)
J = ?
We can find this using the following formula:
K = H + (I - H) + (K - H)
K = H + I - H + K - H
K = I + K - H
Substituting the given values in it to get:
K = 
K = 
K = (e, d)
Answer:
The value of 7w - 8 is -22
Step-by-step explanation:
Let us solve the question
∵ -4w - 5 = 3
→ Move -5 from the left side to the right side by adding both sides by 5
∴ -4w - 5 + 5 = 3 + 5
∴ -4w = 8
→ Divide both sides by -4
∵
= 
∴ w = -2
→ Now let us find the value of the given expression
∵ The given expression is 7w - 8
→ Substitute w by -2 to gets its value
∴ 7w - 8 = 7(-2) - 8
∴ 7w - 8 = -14 - 8
∴ 7w - 8 = -22
∴ The value of 7w - 8 is -22
Answer:
- The required value of q is 35.
Step-by-step explanation:
Let α and β are the zeros of quadratic equation, x^2−12x+q=0.
- It is given that difference between the roots of the quadratic equation x^2−12x+q=0 is 2.
Equation : α - β = 2
Equation : α + β = 12
Equation : αβ = q
We have to create an algebraic expression.
(a+b)² = (a-b)² + 4ab
(12)² = (2)² + 4q
144 = 4 + 4q
144 - 4 =4q
140=4q
q = 140/4
q = 35
Therefore, the required value of q is 35.
<u>Some information about zeroes of quadratic equation. </u>
- Sum of zeroes = -b/a
- Product of Zeroes = c/a