Answer:
(2x+9)^2
Step-by-step explanation:
Factor the equation by using the perfect square rule: a^2+2ab+b^2=(a+b)^2 or a^2-2ab+b^2=(a-b)^2 depending on the trinomial
Answer:
he walked 1 mile
Step-by-step explanation:
we find the common denominator which is 10. 3/5=6/10
6/10+4/10=10/10 or 1 mile
Answer:
8
Step-by-step explanation:
Hello,
This is related to ratios and proportions. We have a 12 foot tree that casts a 6 foot shadow, so now we are trying to figure out how tall is a tree that casts a 4 foot shadow.
We can set an easier method to get this.
12 = 6 (this means the 12 foot tree casts a 6 foot shadow)
x = 4 (this means how tall is the tree to cast a 4 foot shadow, the unknown height of the tree is denoted as x)
Then, we can cross multiply.
48 = 6x
Solve for x, which is the unknown height we are trying to figure out.
x = 8
Answer:
x = 5.7 and y = 3.8
Step-by-step explanation:
We have given a system of equation.
5x+2y = 21 eq(1)
-2x+6y = -34 eq(2)
We have to find the solution of the given system.
Multiplying eq(1) by 3 , we have
15x+6y = 63
Subtracting above equation from eq(2), we have
15x+6y - (-2x+6y) = 63-(-34)
15x+6y+2x-6y = 63+34
17x+0 = 97
17x = 97
x = 97/17
x = 5.706≅5.7
Putting the value of x in eq(1) , we have
5(5.706)+2y = 21
2y = 21-28.53
2y = 7.53
y = 7.53/2
y = 3.765
We have to round it to the nearest tenth
y = 3.8
Hence, the solution of given system is x = 5.7 and y = 3.8
Answer:
x is 5
ST is 45
Step-by-step explanation:
In the given figure
∵ m is the bisector of the segment SU
→ That means m intersects SU at the midpoint of SU
∵ m ∩ SU at point T
∴ T is the midpoint of SU
→ The midpoint of a segment divides it into two equal parts
∵ The point T divides SU to ST and TU
∴ ST = TU
∵ ST = 9x
∵ TU = 4x + 25
→ Equate them
∴ 9x = 4x + 25
→ Subtract 4x from both sides
∵ 9x - 4x = 4x - 4x + 25
∴ 5x = 25
→ Divide both sides by 5
∴ x = 5
→ Substitute the value of x in ST
∵ ST = 9(5) = 45
∴ ST is 45
