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nignag [31]
3 years ago
12

if I have a question on my work that says solve the equation how could I solve this one, (7,-6): m = -4 ..... im not really sure

how to solve it
Mathematics
1 answer:
Nimfa-mama [501]3 years ago
6 0

Answer:

y= -4x+22

Step-by-step explanation:

slope= -4

-6=-4(7)+b

-4x7=-28

-6=-28+b

28-6=22

so the equation would be y= -4x+22

b=y-intercept

mx=slope multiplied by x

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The lengths of the diagonals of a rhombus are 4x and 8x. What algebraic expression gives the perimeter of the rhombus?
Marizza181 [45]

Answer:

Approximately 17.88x or 8x\sqrt{5}

Step-by-step explanation:

Use pythagorean formula. In a rhombus the diagonals bisect each other and they are perpendicular, so you could have a right triangle with legs of 2x and 4x, the hypoteneuse would then be \sqrt{(2x)^{2} +(4x)^{2} }= \sqrt{4x^{2} +16x^{2}} which is approximately 4.47x. In a rhombus all 4 sides are the same, so multiply that by 4 and you get the perimeter. 4(4.47x) = 17.88x  or if you simplify the radical instead it's 8x\sqrt{5}

4 0
3 years ago
A man hits a baseball when it is 4 ft above the ground with an initial velocity of 120 ft/sec. The ball leaves the bat at a 30 d
Sauron [17]
<span>et us assume that the origin is the floor right below the 30 ft. fence

To work this one out, we'll start with acceleration and integrate our way up to position.

At the time that the player hits the ball, the only force in action is gravity where: a = g (vector)
ax = 0
ay = -g (let's assume that g = 32.8 ft/s^2. If you use a different value for gravity, change the numbers.

To get the velocity of the ball, we integrate the acceleration
vx = v0x = v0cos30 = 103.92
vy = -gt + v0y = -32.8t + v0sin40 = -32.8t + 60

To get the positioning, we integrate the speed.
x = v0cos30t + x0 = 103.92t - 350
y = 1/2*(-32.8)t² + v0sin30t + y0 = -16.4t² + 60t + 4

If the ball clears the fence, it means x = 0, y > 30

x = 0 -> 103.92 t - 350 = 0 -> t = 3.36 seconds

for t = 3.36s,
y = -16.4(3.36)^2 + 60*(3.36) + 4
= 20.45 ft

which is less than 30ft, so it means that the ball will NOT clear the fence.


Just for fun, let's check what the speed should have been :)

x = v0cos30t + x0 = v0cos30t - 350
y = 1/2*(-32.8)t² + v0sin30t + y0 = -16.4t² + v0sin30t + 4

x = 0 -> v0t = 350/cos30
y = 30 ->
-16.4t^2 + v0t(sin30) + 4 = 30
-16.4t^2 + 350sin30/cos30 = 26
t^2 = (26 - 350tan30)/-16.4
t = 3.2s

v0t = 350/cos30 -> v0 = 350/tcos30 = 123.34 ft/s

So he needed to hit the ball at at least 123.34 ft/s to clear the fence.

You're welcome, Thanks please :)
</span>
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3 years ago
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3 years ago
G(4) =????<br> Can Someone please help Me on this question
melomori [17]

Answer:

when x=4, the value of y is the answer.

when x=4,we can see that the value of y is 1

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3 years ago
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