Answer:
m is the slope so plug in y=6x+b
and b is the y intercept so the equation is y=6x+5
Step-by-step explanation:
UE = EG - GU = 140 - 90 = 50
ET/ EF = EU/EG
45/EF = 50 / 140
EF = 45 * 140 / 50
EF = 126
Answer
C. 126
<span>Your expenses exceed your income. You should cut back your B. variable costs.
Since this isn't your fixed cost that you pay every month, you should try and cut back these, so as to save some money and stop your expenses from exceeding your income.
</span>
Answer:
D). 2.4
Step-by-step explanation:
Mary is driving toward north so the angle is 90° and Danny is driving toward the east so angle is 0°
Momentum Dary=
Momentum Danny=
So the total momentum is the magnitude:
Mag=
mag= ≅
There were 14 hens and 18 pigs in the backyard
Step-by-step explanation:
Katie was visiting her grandpas farm
- She saw only hens and pigs
- Katie counted 32 heads and 100 feet in the backyard
We need to find how many hens and pigs in the backyard
Assume that there are x hens and y pigs in the backyard
∵ There are x hens and y pigs in the backyard
∵ There are 32 heads
∴ x + y = 32 ⇒ (1)
∵ Each hen has 2 feet
∵ Each pig has 4 feet
∵ There are 100 feet
∴ 2x + 4y = 100 ⇒ (2)
Let us solve the system of equations to find how many hens and pigs
Multiply equation (1) by -2 to eliminate x
∴ -2x - 2y = -64 ⇒ (3)
- Add equations (2) and (3)
∴ 2y = 36
- Divide both side by 2
∴ y = 18
Substitute the value of y in equation (1) to find the value of x
∵ x + 18 = 32
- Subtract 18 from both sides
∴ x = 14
There were 14 hens and 18 pigs in the backyard
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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