You are traveling in a car at 60 miles per hour and are 400 miles away from your destination. Equation y = 400 - 60x is used to represent the distance from your destination after x hours. Identify the slope and the y intercept and explain what they mean.
Answers
Answer: slope = -60 , y - intercept = 400
Step-by-step explanation:
Given :
y = 400 - 60x
comparing with the equation of the line in slope - intercept form
y = mx + c , where m is the slope and c is the y - intercept
then ;
slope = -60
y - intercept = 400
(ii) The interpretation of the slope and the intercept.
Recall that speed = distance / time , that is
distance = speed x time.
it was given that the car is travelling 60 miles per hour , and the equation is used to model the distance from destination after x hours.
And you are 400 miles away from your destinations, this means that after x hours , you have traveled 60x miles , to know how far you are to your destination , the distance covered after x hours will be subtracted from how far you are away from your destination , that is
400 - 60 x.
The means that the y in the equation represent how far you will be to your destination after x hours.
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The required, any triangle that has two sides and the included angle between them given can have its area calculated using the trigonometricarea formula.
What is the triangle?
The triangle is a geometricshape that includes 3 sides and the sum of the interior angle should not be greater than 180°
The trigonometric area formula can be used to calculate the area of a triangle when we know the lengths of two sides and the included angle between them. The formula is:
Area = 1/2 * a * b * sin(C)
where a and b are the lengths of the two sides, and C is the angle between them.
Therefore, if we are given the lengths of two sides and the angle between them, we can use the trigonometric area formula to calculate the area of the triangle. This formula is particularly useful when we do not know the height of the triangle or cannot easily calculate it using other methods.
So, any triangle that has two sides and the included angle between them given can have its area calculated using the trigonometric area formula.
Learn more about triangles here:
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Answer:
ITS THE SECOND ONE
Step-by-step explanation:
Answers
$35 - $3 = $32
$32 divided by $4 = 8
ANSWER:
Danielle bought 8 notepads.
4x + y = 18
(6, 3)
(3, 6)
(−3, 6)
(3, −6)
Answers
Answer:
(3,6)
Step-by-step explanation:
We can substitute y for x+3 in the second equation
4x + x + 3 = 18
5x = 15
x=3
Plug x back into the equation
y = 3 + 3
y = 6
Answer:
B (3 ; 6)
Step-by-step explanation:
y = x + 3
4x + y = 18
4x + (x + 3) = 18
5x = 18 - 3
5x = 15
x = 3
y = x + 3
y = 3 + 3
y = 6
Answers
Answer:
Option C) 3 pounds.
Step-by-step explanation:
A wrestler is trying to gain weight for an upcoming match.
He has a goal weight = 123 pounds
His current weight = 105 pounds.
How much weight he must gain for his goal = 123 - 105 = 18 pounds
He has only 6 weeks to achieve his goal, therefore we divide is goal (to gain 18 pound) to 6 weeks to get what weight he must gain per week.
= 18 pounds ÷ 6 weeks = 3 pounds per week
He must achieve 3 pounds per week to achieve his goal of 123 pounds.
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Answers
This means that they’ve only sold 75% of their goal, which means they need to sell 25% more to reach the goal.
So, .25x360=90
90+360= 450
They need 450 total subscribers to reach their goal.
Answer:
havent seen a question like this in a while
Step-by-step explanation: