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Goryan [66]
3 years ago
6

If you have a slopeof 5/8 and goes through the point (8,2) what is the formula and how do you get it?

Mathematics
1 answer:
IgorC [24]3 years ago
7 0
--------------------------
Slope :
--------------------------
Slope = 5/8

--------------------------
Equation: 
--------------------------
y = 5/8 x + b

--------------------------
Find y-intercept :
--------------------------
At (8, 2), 
2 = 5/8 (8) + b
2 = 5 + b
b = 2 - 5
b = -3

--------------------------
Equation :
--------------------------
y = 5/8x - 3

-----------------------------------------------------------------
Answer: y = 5/8 x - 3
-----------------------------------------------------------------
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The circumference of a sphere was measured to be 82 cm with a possible error of 0.5 cm.
Nat2105 [25]

Answer:

A) Maximum error = 170.32 cm³

B)Relative error = 0.0575

Step-by-step explanation:

A) Formula for circumference is: C = 2πr

Differentiating with respect to r, we have;

dC/dr = 2π

r is small, so we can write;

ΔC/Δr = 2π

So, Δr = ΔC/2π

We are told that ΔC = 0.5.

Thus; Δr = 0.5/2π = 0.25/π

Now, formula for Volume of a sphere is;

V(r) = (4/3)πr³

Differentiating with respect to r, we have;

dV/dr = 4πr²

Again, r is small, so we can write;

ΔS/Δr = 4πr²

ΔV = 4πr² × Δr

Rewriting, we have;

ΔV = ((2πr)²/π) × Δr

Since C = 2πr, we now have;

ΔV = (C²/π)Δr

ΔV will be maximum when Δr is maximum

Thus, ΔV = (C²/π) × 0.25/π

C = 82 cm

Thus;

ΔV = (82²/π) × 0.25/π

ΔV = 170.32 cm³

B) Formula for relative error = ΔV/V

Relative error = 170.32/((4/3)πr³)

Relative error = 170.32/((4/3)C³/8π³)

Relative errror = 170.32/((4/3)82³/8π³)

Relative error = 170.32/2963.744

Relative error = 0.0575

3 0
3 years ago
A company has 15.5×108​
Talja [164]

Answer:

1674

Step-by-step explanation:

5 0
3 years ago
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If two tangent segments to a circle share a common endpoint outside a circle, then the two segments are
matrenka [14]

If two tangent segments to a circle share a common endpoint outside a circle, then the two segments are congruent. This is according to the intersection of two tangent theorem. The theorem states that  given a circle, if X is any point within outside the circle and if Y and Z are points such that XY and XZ are tangents to the circle, then XY is equal to XZ.

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4 0
4 years ago
Find the value of (-3/8) x (+8/15
Mekhanik [1.2K]

\frac{ - 3}{8}  \times  \frac{8}{15}  \\  \\  = \frac{  \cancel{- 3}}{ \cancel8}  \times  \frac{ \cancel8}{ \cancel{15}} \\  \\  =  -  \frac{1}{5}

Hope This Helps ~

8 0
2 years ago
Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =
DanielleElmas [232]

Based on the triangle sum theorem, exterior angle theorem, the true statements are:

m∠5 + m∠6 = 180°

m∠2 + m∠3 = m∠6

m∠2 + m∠3 + m∠5 = 180°

<h3>What is the Triangle Sum Theorem and the Exterior Angle Theorem?</h3>

According to the triangle sum theorem, m∠2 + m∠3 + m∠5 = 180°.

Also, based on the exterior angle theorem, m∠2 + m∠3 = m∠6.

∠5 and ∠6 are a pair of linear angles, therefore: m∠5 + m∠6 = 180°.

In summary, the true statements about the diagram given are:

  • m∠5 + m∠6 = 180°
  • m∠2 + m∠3 = m∠6
  • m∠2 + m∠3 + m∠5 = 180°

Learn more about the triangle sum theorem on:

brainly.com/question/7696843

#SPJ1

8 0
2 years ago
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