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bija089 [108]
2 years ago
7

Write the equation of the line, in point-slope form, that passes through the two given points.

Mathematics
1 answer:
raketka [301]2 years ago
6 0

Answer:

y=-1/2x + 3/2

Step-by-step explanation:

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Marianne draws a triangle with the dimensions shown, then she draws a second triangle in which the dimensions are divided by 2.
Dafna11 [192]

Answer:

1/4

Step-by-step explanation:

The equation for the area of a triangle: A = 1/2bh

If all of the dimensions are halved then A = 1/2(1/2*b)(1/2*h) = 1/8bh

1/8bh is 1/4 of 1/2bh.

8 0
3 years ago
Read 2 more answers
What is the answer for # 24?<br><br>A B C or D
Rainbow [258]

The volume of the space not filled by the sphere is the difference between the volume of a cube with edge length 6 inches and the volume of a sphere with radius 3 inches.

<h3><u>Cube</u></h3>

The volume of a cube of edge length s is

... V = s³

When the edge length is 6 in, the volume is

... V = (6 in)³ = 216 in³

<h3><u>Sphere</u></h3>

The volume of a sphere with radius r is

... V = (4/3)π·r³

When the radius is 3 in, the volume is

... V = (4/3)π·(3 in)³ = 36π in³

<h3><u>Space</u></h3>

Then the volume of the space between the cube and the sphere is

... Vcube - Vsphere = 216 in³ - 36π in³ ≈ 102.9 in³ . . . . corresponding to choice C

8 0
3 years ago
Which scatterplot shows a linear association?
olasank [31]

Answer:

B

Step-by-step explanation:

A linear association means the function is a relation that can be shown with a line.

The first scatterplot is in the form of a parabola, and parabolas are the quadratic function form, meaning it cannot be linear.

Next, the second scatterplot goes diagonally, in a straight line. If we were to connect the dots using a line, then it would be a linear association, meaning that B is the correct answer.

4 0
2 years ago
Cos ( α ) = √ 6/ 6 and sin ( β ) = √ 2/4 . Find tan ( α − β )
Zina [86]

Answer:

\purple{ \bold{ \tan( \alpha  -  \beta ) = 1.00701798}}

Step-by-step explanation:

\cos( \alpha ) =  \frac{ \sqrt{6} }{6}  =  \frac{1}{ \sqrt{6} }  \\  \\  \therefore \:  \sin( \alpha )  =  \sqrt{1 -  { \cos}^{2} ( \alpha ) }  \\  \\  =  \sqrt{1 -  \bigg( {\frac{1}{ \sqrt{6} } \bigg )}^{2} }  \\  \\ =  \sqrt{1 -  {\frac{1}{ {6} }}}  \\  \\ =  \sqrt{ {\frac{6 - 1}{ {6} }}}   \\  \\  \red{\sin( \alpha ) =  \sqrt{ { \frac{5}{ {6} }}} } \\  \\  \tan( \alpha ) =  \frac{\sin( \alpha ) }{\cos( \alpha ) }  =  \sqrt{5}  \\  \\ \sin( \beta )  =  \frac{ \sqrt{2} }{4}  \\  \\  \implies \: \cos( \beta )  =   \sqrt{ \frac{7}{8} }  \\  \\ \tan( \beta )  =  \frac{\sin( \beta ) }{\cos( \beta ) } =  \frac{1}{ \sqrt{7} }   \\  \\  \tan( \alpha  -  \beta ) =  \frac{ \tan \alpha  -  \tan \beta }{1 +  \tan \alpha .  \tan \beta}  \\  \\  =  \frac{ \sqrt{5} -  \frac{1}{ \sqrt{7} }  }{1 +  \sqrt{5} . \frac{1}{ \sqrt{7} } }  \\  \\  =  \frac{ \sqrt{35} - 1 }{ \sqrt{7}  +  \sqrt{5} }  \\  \\  \purple{ \bold{ \tan( \alpha  -  \beta ) = 1.00701798}}

8 0
3 years ago
michael has 40 coins worth 8.20. consisting of 10 cents and 25 cents . how many of each coins does he have ?
devlian [24]

Answer:

2 dollars I guess l d k

Step-by-step explanation:

pay subcription to get good answer k :)

5 0
3 years ago
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