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AlekseyPX
3 years ago
7

A line passes through the point (8,-5) and has a slope of -3/4.

Mathematics
1 answer:
zalisa [80]3 years ago
4 0

Answer: y= -3/4x + 1

Step-by-step explanation:

use the point to set up slope intercept to find you y-intercept (b)

(8,-5)

y=mx+b

-5=-3/4(8)+b

-5=-6+b

b=1

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The length of the hypotenuse of a right triangle is 24. If the length of one leg is 8, what is approximate length of the other l
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Something that a right triangle is characterised by is the fact that we may use Pythagoras' theorem to find the length of any one of its sides, given that we know the length of the other two sides. Here, we know the length of the hypotenuse and one other side, therefor we can easily use the theorem to solve for the remaining side.

Now, Pythagoras' Theorem is defined as follows:

c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

Given that we know that c = 24 and a = 8, we can find b by substituting c and a into the formula we defined above:

c^2 = a^2 + b^2

24^2 = 8^2 + b^2 (Substitute c = 24 and a = 8)

b^2 = 24^2 - 8^2 (Subtract 8^2 from both sides)

b = √(24^2 - 8^2) (Take the square root of both sides)

b = √512 (Evaluate 24^2 - 8^2)

b = 16√2 (Simplify √512)

= 22.627 (to three decimal places)

I wasn't sure about whether by 'approximate length' you meant for the length to be rounded to a certain number of decimal places or whether you were meant to do more of an estimate based on your knowledge of surds and powers. If you need any more clarification however don't hesitate to comment below.

4 0
3 years ago
suppose you choose a marble from a bag containing 5 red marbles, 4 white marbles, and 5 blue marbles. you return the first marbl
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The denominator would still be the same you placed the marble back into the bag
5 0
3 years ago
1) 3(3x - 4) = -2(1 – 4x)
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Let's solve your equation step-by-step.
3
(
3
x
−
4
)
=
−
2
(
1
−
4
x
)
Step 1: Simplify both sides of the equation.
3
(
3
x
−
4
)
=
−
2
(
1
−
4
x
)
(
3
)
(
3
x
)
+
(
3
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(
−
4
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=
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2
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(
1
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+
(
−
2
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(
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4
x
)
(Distribute)
9
x
+
−
12
=
−
2
+
8
x
9
x
−
12
=
8
x
−
2
Step 2: Subtract 8x from both sides.
9
x
−
12
−
8
x
=
8
x
−
2
−
8
x
x
−
12
=
−
2
Step 3: Add 12 to both sides.
x
−
12
+
12
=
−
2
+
12
x
=
10
6 0
3 years ago
Read 2 more answers
Mark and Zoe are hiking a trail. Mark starts before Zoe. The expression 2t + 100 represents how far, in meters, Mark has hiked t
olasank [31]

Answer: No

Step-by-step explanation:

The distance hiked of Mark is represented by 2*t + 100

and the distance hiked of Zoe is represented by 2*t

here, you can see that the slope of both equations is equal, this means that in the same lapse of time, Zoe and Mark displace the same amount, but because Mark started earlier, he has a y-intercept bigger than zero, so for every value of t, the distance that Mark hiked will be higher than the one of Zoe.

We can represent this by:

2*t + 100 > 2*t

100 > 0

So the distance hiked by Mark is always bigger than the one of Zoe

7 0
3 years ago
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Solve the equation for the indicated variable S=2πrh+2πr²<br> Solve for h
valina [46]

Answer:

Good luck :)

Step-by-step explanation:

S=2πrh+2πr ²

subtract 2πr ² from each side

S -2πr ² = 2πrh

divide by 2πr from each side

(S -2πr ² )/ 2πr  = h

4 0
3 years ago
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