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Karo-lina-s [1.5K]
3 years ago
14

Which is the slope-intercept form of the equation for the line that passes through the

Mathematics
1 answer:
miskamm [114]3 years ago
4 0

Answer:

y=4x-3

Step-by-step explanation:

Find the slope for your equation by calculating the change in y over change in x ∆y/∆x or (y2-y1)/(x2-x1)

13-5=8

4-2=2

8/2=4

We now need to use one of these coordinates to finish the equation y=4x+b

5=4(2)+b

5=8+b

b=-3

Now we rewrite our equation in slope int form as y=4x-3

You can check your work by using the other coordinate (4, 13) and see the equation balances.

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A hemisphere-shaped bowl with radius 1 foot is filled full with chocolate. All of the chocolate is then evenly distributed betwe
Wewaii [24]

The radius of each of the smaller molds is r = 1/3 ft. Using the volume of the given hemisphere, the required radius is calculated.

<h3>How to calculate the volume of a hemisphere?</h3>

The volume of the hemisphere is calculated by using the formula,

= \frac{2}{3} × π × r³ cubic units

where r is the radius of the hemisphere.

<h3>Calculation:</h3>

It is given that,

A hemisphere-shaped bowl with a radius r = 1 ft is filled with chocolate.

So, the volume of the bowl is

V =  \frac{2}{3} × π × (1)³

  =  \frac{2}{3} × π cubic feets

The volume of each smaller hemisphere-shaped mold =  \frac{2}{3} × π × r³ cubic units

So, for 27 molds, the volume = 27 × \frac{2}{3} × π × r³ cubic units

All of the chocolate is then evenly distributed between 27 congruent, smaller hemisphere-shaped molds.

Then,

\frac{2}{3} × π = 27 × \frac{2}{3} × π × r³

⇒ r³ = 1/27

⇒ r = 1/3 ft

Therefore, the required radius of each of the smaller molds is 1/3 foot.

Learn more about the volume of a hemisphere here:

brainly.com/question/15975126

#SPJ4

6 0
2 years ago
MY LAST QUESTION PLEASE HELP
liraira [26]

Answer:

12

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos 60 = 6/hyp

hyp = 6 / cos 60

hyp = 6 / (1/2)

htp = 12

3 0
2 years ago
A 32 ounce bottle of fresh-squeezed fruit juice sells for $3.29. A 24-ounce bottle of the same juice sells for $1.97. Which bott
ivann1987 [24]
The 24 oz. is the better deal. For the 24 oz, each ounce is worth $.08 compared to $.10 per ounce for the 32 ounce bottle.
5 0
3 years ago
Of
ollegr [7]
The answer is 25 I think sorry if it’s wrong :)
3 0
2 years ago
Read 2 more answers
Solve for x solve for x
soldi70 [24.7K]

Answer:

x=5

Step-by-step explanation:

since two sides are congruent, the two unknown angles are congruent.

All triangle angles total 180 degrees.

so:

180-88=92

92/2=46

9x+1=46

9x=45

x=5

5 0
2 years ago
Read 2 more answers
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