Answer:
0.666
Step-by-step explanation:
2/3 = 0.666
3(x+9)=12 can be used by Stephanie to find the number.
Step-by-step explanation:
Given,
x be the number Amy picked.
She told Stephanie to add 9, therefore,
x+9
Multiplying the sum by 3
3(x+9)
According to given statement, the sum would equal 12 after multiplying,
3(x+9)=12
3(x+9)=12 can be used by Stephanie to find the number.
Keywords: linear equations, addition
Learn more about linear equations at:
#LearnwithBrainly
(x^2 + 43x +10) - <span>(−10x^2−5x+10)
</span>x^2 + 43x +10 + 10x^2 + 5x - 10
11x^2 + 48x
Answer:
6.68, 13.37, 14.95
Step-by-step explanation:
One of the legs is twice as long as the other.
b = 2a
The perimeter is 35.
35 = a + b + c
The triangle is a right triangle.
c² = a² + b²
Three equations, three variables. Start by plugging the first equation into the second and solving for c.
35 = a + 2a + c
c = 35 − 3a
Now plug this and the first equation into the Pythagorean theorem:
(35 − 3a)² = a² + (2a)²
1225 − 210a + 9a² = a² + 4a²
1225 − 210a + 4a² = 0
Solve with quadratic formula:
a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)
a = (210 ± √24500) / 8
a ≈ 6.68 or 45.82
Since the perimeter is 35, a = 6.68. Therefore, the other sides are:
b ≈ 13.37
c ≈ 14.95
<h3>
Answer is 2:1</h3>
Reason:
Start with the ratio 16:8
Then divide both pieces by the GCF 8
16/8 = 2
8/8 = 1
The ratio 16:8 reduces fully to 2:1
The first piece is twice as large as the second piece.