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Usimov [2.4K]
3 years ago
15

The point-slope form of the equation of the line that passes through points (-5,-1) and (10, -7 ) is y-4=1/4 (x-8) what is the s

lope intercept form of the equation for this line​ ?
Mathematics
1 answer:
arlik [135]3 years ago
4 0

Answer:

y = \frac{1}{4} x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y - 4 = \frac{1}{4} (x - 8) ← distribute

y - 4 = \frac{1}4} x - 2 ( add 4 to both sides )

y = \frac{1}{4} x + 2 ← in slope- intercept form

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umka2103 [35]

A math teacher opened a window company because he loves seeing shapes or geometrical polygons such as rectagles, squares or quadrilaterals in general as well as triangles in his works. Of course, the math teacher is already familiar with these shapes and how to calculate the angles in between. 
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4 years ago
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Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled 3/4 for the flowers to l
Nimfa-mama [501]

Answer: 376.98192 mL

Step-by-step explanation:

We are going to use this equation.

V  = π  *  r²  * h

according to the question we have the value for r and h, if you replace the values into the equation we will get  following product:

note: also keep in mind that value of π is 3.141516

V  = π  *  r²  * h

V  = π  *  (4in)²  * (10in)

V = 502.64256 in³

after we can divide this value in 4 equals parts

then  we get the following equation:

502.64256 in³ / 4 = 125.66064 in³

after that that you can multiply this value by 3 to get the 3 parts of the cylinder vase for example:

125.66064 in³ * 3 = 376.98192 in³

and this result is the volume of water that we have to pour into the vase

8 0
3 years ago
Muffins come in 3 sizes, 4 flavors, and with or without nut toppings. How many combinations are in the sample space?
oksano4ka [1.4K]

Answer:

9 combinations are in the sample space

Step-by-step explanation:

Well there's 3 sizes 4 flavors and with or without nuts

3(Sizes)+ 4(flavors)+ 2(with or without)

Therefor when you add those up you get 9 things people can choose from, known as the sample space.

3 0
3 years ago
-1 3/5 ÷-2/3 as a mixed number​
SCORPION-xisa [38]

\text{Hey there!}

-1\frac{3}{5}\div\frac{2}{3}

-1\frac{3}{5}=-\frac{8}{5}

\text{Problem becomes:}-\frac{8}{2}\div\frac{2}{3}

\text{Solve that, and you will get:}\frac{-4}{5}\div{\frac{3}{1}}

-4\times1=-4

5\times3=15

\rightarrow =\frac{-4}{15}

\boxed{\boxed{\boxed{\bf{Answer:\frac{-4}{15}}}}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

6 0
3 years ago
You have 200 dice in a bag. One of the dice has a six on all sides so it will land on a six every time you roll it. The other 19
LiRa [457]

Answer:

Step-by-step explanation:

There are 200 dice out of which 199 are fair

Prob for 6 in one special die = 1 and

Prob for 6 in other die = 1/6

A1- drawing special die and A2 = drawing any other die

A1 and A2 are mutually exclusive and exhaustive

P(A1) = 1/200 and P(A2) = 199/200

B = getting 6

i) Required probability

= P(A1/B) = \frac{P(A1B)}{P(A1B)+P(A2B)} \\

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P(A2B) = \frac{199}{200}*\frac{1}{6}=\frac{199}{1200}

P(B) = \frac{205}{1200} =\frac{41}{240}

P(A1/B) = \frac{1/200}{41/240} =\frac{7}{205}

P(A2/B) = \frac{199/1200}{41/240} =\frac{199}{205}

4 0
3 years ago
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