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Tom [10]
3 years ago
14

Write an equation for the function that includes the points ( 1, 4/5) and ( 2, 2/3).

Mathematics
1 answer:
rodikova [14]3 years ago
4 0

Answer:

f(x) = -2/15x + 14/15

Step-by-step explanation:

Slope = (2/3 - 4/5)/(2 - 1)

= (10/15 - 12/15) = -2/15

Plug in a known point (into y=mx+b) to find y-intercept:

4/5 = -2/15(1) + b

12/15 = -2/15 + b

b = 14/15

Formulate:

f(x) = -2/15x + 14/15

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Which expression represents the lateral surface area of the cone?
Setler [38]

Answer:

π(6 cm) (10 cm)

Step-by-step explanation:

As we know that

The formula to calculate the lateral surface area of the cone is πrl

where

r denotes the radius i.e. 6 cm

l denotes the length i.e. 10 cm

So based on the above information

The expression that shows the lateral surface area of the cone is

π(6 cm) (10 cm)

Therefore the third option is correct

Hence, the same would be relevant

6 0
3 years ago
16. A plastic tray is shown, with the dimensions
Virty [35]

Answer:

calculate it. its not cheating, its like flash cards but better, besides its made for that reason.;)

Step-by-step explanation:

7 0
3 years ago
A pet toy manufacturer is designing a plastic ball for dogs that will float in water. In order for the ball to float it must hav
algol13

Answer:

3.576 cm

Step-by-step explanation:

radius of ball, r=?

Given:

Density, p = 0.600g/mL

mass, m= 115g

finding volume, v of ball by using formula p=m/v

v= m/p

= 115/0.600

=191.666 mL^3

=191.666 cm^3

Now using formula v= (4/3)πr^3 to find radius, r of the ball

r^3= 3v/4π

   = 3(191.666)/4π

   =45.75 cm

r   =3.5767 cm !

7 0
4 years ago
Carlos is using the quadratic formula to find the solutions of y=3x^2-5x-2. Which of the following will simplify to the correct
Nana76 [90]

Answer:

Fx=\frac{5\pm\sqrt{25+24} }{6}

Step-by-step explanation:

A quadratic equation in one variable given by the general expression:

ax^2+bx+c

Where:

a\neq 0

The roots of this equation can be found using the quadratic formula, which is given by:

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

So:

y(x)=3x^2-5x-2=0

As you can see, in this case:

a=3\\b=-5\\c=-2

Using the quadratic formula:

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}=\frac{-(-5)\pm\sqrt{(-5)^2-4(3)(-2)} }{2(3)}=\frac{5\pm\sqrt{25+24} }{6}

Therefore, the answer is:

Fx=\frac{5\pm\sqrt{25+24} }{6}

4 0
3 years ago
5 hours 15 min + 3 hours 33 min<br><br><br> show the working as well
Alika [10]

Answer:

8 hours 48 mins

Step-by-step explanation:

  h  m

  5:15

+3:33

--------------

  8:48

or

5 hours + 3 hours =8 hours,

15 mins + 33 mins = 48 mins

Therefore, it's 8 hours 48 mins.

7 0
3 years ago
Read 2 more answers
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