Subtract 2d from both sides
simplify 10 + 2.5d - 2d to 10 + 0.5d
subtract 10 from both sides
simplify 4 - 10 to -6
divide both sides by 0.5
simplify 6/0.5 to 12
switch the sides
Answer: d = -12.
Answer:
31 degrees
Step-by-step explanation:
well each three point of a triangle equals 180
so 20+35= 55 180-55= 125
now if the exterior angle is 156 and it should equal 180 the interior angle would be 24 degrees
now we have 24 and 125 so angle ? = 31
9514 1404 393
Answer:
B) biker at 12 mph
Step-by-step explanation:
Distance is proportional to time when velocity is constant. It is not constant in the case of stop-and-go traffic, a baseball*, or a slowing car. The speed of the person biking is given as a constant 12 mph, so that person is traveling a distance proportional to time.
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<em>Additional comment</em>
* It depends. The usual assumption is that horizontal speed is constant, in which case the distance from the hitter along the ground is proportional to time. If you are modeling the real world, the ball slows due to air resistance, so distance is not proportional to time.
If you are concerned with the actual distance the baseball travels through the air, the ball's speed slows as it gains height, then increases again as it falls to the ground. The speed is not constant during any part of that travel.
The value of x satisfies both -9x + 4y = 8 and -3x - y = 4 given the same value of y is
Step-by-step explanation:
The system of equations has two equations:
Let us solve the system of equations to find the value of x and substitute it in the two equations to check if it gives the same value of y in the two equations
∵ -9x + 4y = 8 ⇒ (1)
∵ -3x - y = 4 ⇒ (2)
- Multiply equation (2) by 4 to make the coefficients of y in the
two equations have same value and different signs
∴ -12x - 4y = 16 ⇒ (3)
- Add equations (1) and (3) to eliminate y
∴ -21x = 24
- Divide both sides by -21
∴ x =
Let us substitute this value of x in equations (1) and (2) to find y
∵ -9( ) + 4y = 8
∴ + 4y = 8
- Subtract from both sides
∴ 4y =
- Divide both sides by 4
∴ y =
∵ -3( ) - y = 4
∴ - y = 4
- Subtract from both sides
∴ - y =
- Divide both sides by -1
∴ y =
The value of x satisfies both -9x + 4y = 8 and -3x - y = 4 given the same value of y is
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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