Step-by-step explanation:
Given equations:
y = x² + 3x - 29 ------ (i)
y = 2x - 9 ---------------- (ii)
Now to solve this problem, we must determine the value of x and y;
Equate equations 1 and 2;
x² + 3x - 29 = 2x - 9
x² + 3x - 2x - 29 + 9 = 0
x² + x - 20 = 0
x² + 5x - 4x - 20 = 0
x(x + 5 ) - 4(x + 5) = 0
(x - 4) (x+ 5) = 0
x - 4 = 0 or x + 5 = 0
x = 4 or x = -5;
So; solve for y now;
y = 2x - 9
input x = 4 or x = -5;
y = 2(4) - 9 or y = 2(-5) - 9
y = -1 or y = -19
Answer:
Step-by-step explanation:
see the attached figure with letters to better understand the problem
Let
a ----> the height of rectangle in mm
b ---> the base of rectangle in mm
step 1
Find the base of rectangle
----> by segment addition postulate
substitute
step 2
Find the height of rectangle
---> by segment addition postulate
substitute the given values
Find the length sides CG
Applying the Pythagorean Theorem
substitute the given values
simplify
therefore
step 3
Find the area of rectangle
we have
substitute
4 4/5. Check the linked photo for some explanation.
Hello!
1/4 is equal to 0.25. Let's divide below.
5/0.25=20
When dividing by fractions, you multiply by the reciprocal. The reciprocal of 1/4 is 4, and 5(4)=20
Therefore, our answer is 20.
I hope this helps!
