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marin [14]
2 years ago
13

What’s the point slope form of an equation the has a slope of: (-1/6)

Mathematics
2 answers:
Maslowich2 years ago
4 0

Answer:

y+4 = -1/6(x-9)  point slope

y = -1/6x -2.5  slope intercept

Step-by-step explanation:

The point slope form is

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is the point

y- -4 = -1/6(x-9)

y+4 = -1/6(x-9)

Distribute to get to slope intercept form

y+4 = -1/6x +9/6

y+4 = -1/6x +3/2

Subtract 4 from each side

y+4-4 = -1/6x +3/2 -4

y = -1/6x +3/2 -8/2

y = -1/6x -5/2

y = -1/6x -2.5

Serggg [28]2 years ago
4 0

Answer:

y + 4 = -⅙(x - 9)

Step-by-step explanation:

y - y1 = m(x - x1)

y - (-4) = (-1/6)(x - 9)

y + 4 = -⅙(x - 9)

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2 years ago
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If the total surface area of a cube is 302.46ft2 what best describes the length of the side of the cube?​
12345 [234]

Answer:

7.1ft

Step-by-step explanation:

The formula for calculating the total surface area of a cube is 2(L²+L²+L²)

=2(3L²)

= 6L²

Where L is the length of the cube

If the total surface area of a cube is 302.46ft², then

302.46 = 6L²

L² = 302.46/6

L² = 50.41

L =√50.41

L = 7.1ft

The length of the side of the cube is 7.1ft

4 0
3 years ago
7-18 use part 1 of the fundamental theorem of calculus to find the derivative of the function.
blondinia [14]

\displaystyle h(x)=\int\limits_{1}^{\sqrt{x}}~\cfrac{z^2}{z^4+1}dz~\hspace{10em}\cfrac{dh}{du}\cdot \stackrel{chain~rule}{\cfrac{du}{dx}\implies \cfrac{dh}{dx}} \\\\[-0.35em] ~\dotfill\\\\ u=\sqrt{x}\implies \cfrac{du}{dx}=\cfrac{1}{2\sqrt{x}} \\\\[-0.35em] ~\dotfill

\cfrac{dh}{dx}\implies \displaystyle \cfrac{d}{du}\left[ \int\limits_{1}^{u}~\cfrac{z^2}{z^4+1}dz \right]\cdot \cfrac{1}{2\sqrt{x}}\implies \left[ \cfrac{u^2}{u^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}} \\\\\\ \stackrel{substituting~back}{\left[ \cfrac{(\sqrt{x})^2}{(\sqrt{x})^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}}}\implies \cfrac{x}{x^2+1}\cdot \cfrac{1}{2\sqrt{x}}\implies \cfrac{\sqrt{x}}{2x^2+2}

7 0
1 year ago
Please help me with this one
Rasek [7]

Answer:

6 (2)^ = 6

6 (2)^2 = 24

a = 24

b = 6

y-intercept: (0,6)

y-intercept =

Step-by-step explanation:

6(2)^x

6 (2)^0 = 6 (a number ^0 = 1, 6 times 1 = 6)

6 (2)^2 = 6 x 4 = 24

8 0
2 years ago
19
Taya2010 [7]

The measure of each angles  are m∠F = 46°, m∠D = 32°, m∠E = 102°.

<h3>What is angle?</h3>

An angle in plane geometry is a shape created by two rays or lines that have a common endpoint. The Latin word "angulus," which means "corner," is where the word "angle" comes from. The common endpoint of two rays is known as the vertex, and the two rays are known as sides of an angle.

The angle that lies in the plane need not be in Euclidean space. Angles are referred to as dihedral angles if they are produced by the intersection of two planes in a space other than Euclidean. The symbol "" is used to represent an angle.

We have given that Δ DEF has

m∠D = m∠F - 14

And

m∠E = 10 + 2(m∠F)

We know that that sum of all angels in a triangle is 180°, So

m∠D + m∠E  +  m∠F = 180°

Substituting the values we get

(m∠F - 14) + (10 + 2(m∠F)) + m∠F = 180°

m∠F - 14 + 10 + 2m∠F +m∠F

4(m∠F) - 4 = 180

4(m∠F) = 180 + 4

4(m∠F)  = 184

(m∠F)  = 46°

m∠D = 46° - 14

m∠D = 32°

m∠E = 10 + 2(m∠F)

m∠E = 10 + 2( 46°)

m∠E = 10 + 92°

m∠E = 102°

Learn more about angle

brainly.com/question/25716982

#SPJ9

3 0
1 year ago
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