Answer:
add them togethr then subract the diffrece to get x
Step-by-step explanation:
Hector could do it in 3 hours.
Your question doesn’t really make sense though.
Answer:
<h3>
x = 6 ft. long shadow</h3><h3>
</h3>
Step-by-step explanation:
its a ratio and proportion:
<u> 15 ft. tall giraffe </u> = <u> 5 ft. tall bird </u>
18 ft. shadow x shadow
15 (x) = 18 (5)
x = 90 / 15
x = 6 ft. long shadow
Answer:
- The system has infinitely many solutions when a = 3/4 and b = 1/2
<h3>Given </h3>
System of linear equations
<h3>To find </h3>
- Values of a and b that leads to infinitely many solutions
<h3>Solution</h3>
The linear system of equations has infinitely many solutions when lines overlap, so both have same slope and y-intercept.
We can solve it in two different ways
1. Note that when the first equation is multiplied by 4, it has same value of constant as the second equation, which is 64.
- 4ax + 4by = 64
- 3x + 2y = 64
When compared it gives us:
- 4a = 3 ⇒ a = 3/4
- 4b = 2 ⇒ b = 2/4 = 1/2
2. Convert both equations from standard to slope-intercept form and compare:
- ax + by = 16
- by = -ax + 16
- y = - (a/b)x + 16/b
- 3x + 2y = 64
- 2y = - 3x + 64
- y = - (3/2)x + 32
Work out values of a and b:
- 16/b = 32 ⇒ b = 16/32 ⇒ b = 1/2
- - (a/b) = - 3/2 ⇒ a/b = 3/2 ⇒ a = 3b/2 ⇒ a = 3(1/2)/2 ⇒ a = 3/4
Answer:
56 + 7d
Step-by-step explanation:
For using the distributive property, You have to multiply the first number to the rest. So 8 x 7 = 56 and 7 x d = 7d.
