Answer:
4
Step-by-step explanation:
Another way to write this is 8/1 x 1/2. Then the answer would be 8/2. Simplify to get 4.
Answer:
c = 196
Step-by-step explanation:
To obtain a perfect square trinomial
Add ( half the coefficient of the x- term )² to x² + 28x
x² + 2(14)x + (14)², that is
x² + 28x + 196
= (x + 14)² ← a perfect square
Answer:
24:5
Step-by-step explanation:
4 yards is 3 feet, so 4*3=12. There are 12 inches in a foot, so 12*12=144. 144:30= 72:15 = 24:5
Answer:
9cm
Step-by-step explanation:
- Since PQST is a rectangle, ∠QST=∠QSR=∠90º. So triangle QSR is a right triangle.
- By the Pythagorean Theorem and that SR=6 and QR=10, we can say that 6^2+b^2=10^2. So, 36+b^2=100. And b^2=64 and b=8. So QS=8.
- Now we know that QS=PT=8.
- By the Pythagorean Theorem and that PR=17 and PT=8, we can say a^2+8^2=17^2. So, a^2+64=289. And a^2=225 and a=15.
- We know that TR=15 and SR=6 and TR-SR=TS, so 15-6=9.
Regroup terms
Add 2x to both sides
Simplify 4 - x + 2x to 4 + x
subtract 4 from both sides
subtract -6 - 4.
Answer: x = -10
