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7nadin3 [17]
3 years ago
13

Write an equation of a line that has a slope of 7/2 and passes through the point (14,-3). Convert it to slope-intercept form.

Mathematics
1 answer:
Simora [160]3 years ago
4 0

Answer:

<h2>          y = ⁷/₂x - 52 </h2>

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = ⁷/₂

(14, -3)    ⇒   x₀ = 14,  y₀ = -3

So, the point-slope form of the equation:

y + 3 = ⁷/₂(x - 14)

So::

y + 3 = ⁷/₂x - 49         {subtract 3 from both sides}

y = ⁷/₂x - 52             ←  the slope-intercept form of the equation

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Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance
a_sh-v [17]

Answer:

i. When the temperature is above 616.712^{o}F, it changes to gas.

ii. When the temperature is below -33.052^{o}F, it changes to solid.

Step-by-step explanation:

Matter generally exists in either a solid, liquid or gaseous form. With each phase having a certain range of temperature.

Temperature scale of a given substance can be either in Celsius, Fahrenheit or Kelvin. And conversion from one scale to another can be achieved. Example, Celsius scale can be converted to Fahrenheit by:

F = \frac{9}{5} θ + 32

where: F is the equivalent temperature in Fahrenheit, θ is the value of temperature in degree Celsius.

Given that: melting point of the substance = -36.14^{o}C

⇒ F =  \frac{9}{5} x -36.14^{o} + 32

      = -33.052^{o}F

The boiling point = 324.84^{o}C

F =  \frac{9}{5} x  324.84^{o} + 32

  = 616.712^{o}F

The melting point of the substance is -33.052^{o}F, and boiling point is 616.712^{o}F.

Therefore, the range of temperatures for which the substance is not in a liquid state are:

i. When the temperature is above 616.712^{o}F, it changes to gas.

ii. When the temperature is below -33.052^{o}F, it changes to solid.

3 0
3 years ago
Logan is making bookmarks that contain flower petals. He has 95 petals. He uses 3 flower petals for each bookmark. What is the G
Tcecarenko [31]

Answer: The GREATEST number of bookmarks that Logan can make = 31.

Step-by-step explanation:

GIven: Total petals = 95

Number of petals required for each bookmark = 3

Number the number of bookmarks can be prepared from 95 petals = 95 ÷ (Petals required of each bookmark)

= 95÷3

=31\dfrac{2}{3}\ \ \ \approx31\text{    [Round to the nearest whole number.]}

i.e. The GREATEST number of bookmarks that Logan can make = 31.

5 0
2 years ago
Lol please help me goodness gracious
PIT_PIT [208]

To find x = \frac{1}{2} (AB+CD)

x=\frac{1}{2} (46+25)\\\ x=\frac{1}{2} (71)\\ x =35.5

Hope it helps!

5 0
2 years ago
How do you multiply 23.50*23.74
Mamont248 [21]

Answer:

557.89

Step-by-step explanation:

Download photomath on Appstore it'll help you explain. but basically you multiply each digit at the bottom to the whole number on the top

    23.50

<u>x   </u><u>23.74</u>

       940     ====== 23.50 multiply to 4

    16450     ====== 23.50 multiply to 7

    70500    ====== 23.50 multiply to 3

<u>+   470000   </u> ====== 23.50 multiply to 2

   557.890    ====== Add all the numbers together, move the decimal sign down to align with the result

<u />

4 0
3 years ago
How many ounces are in 8 cups
Olenka [21]
First ask your self how many ounces are in 1 cup?
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So to find how many ounces are in 8 cups, you have to multiply how many ounces in one cyp (8) by 8
8×8=64
64 ounces
3 0
3 years ago
Read 2 more answers
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