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marishachu [46]
2 years ago
10

A line passes through the point (-6,-9) and has a slope of 5/2.

Mathematics
2 answers:
mezya [45]2 years ago
8 0

(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-9})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{5}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-9)}=\stackrel{m}{\cfrac{5}{2}}(x-\stackrel{x_1}{(-6)})\implies y+9=\cfrac{5}{2}(x+6) \\\\\\ y+9=\cfrac{5}{2}x+15\implies y=\cfrac{5}{2}x+6

NISA [10]2 years ago
6 0

Answer:

  y = 5/2x +6

Step-by-step explanation:

The slope-intercept form of the equation of a line is ...

  y = mx +b . . . . line with slope m and y-intercept b

__

The above equation can be solved for b to give ...

  b = y -mx

Using the given values m = 5/2 and (x, y) = (-6, -9), we find b to be ...

  b = -9 -(5/2)(-6) = -9 +15 = +6

Then the slope-intercept equation is ...

  y = 5/2x +6

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Janet made 75 more cookies to sell at the
UNO [17]

Answer:

200

Step-by-step explanation:

Janet = x + 75

Kathy = x

2x + 75 = 325

2x = 325 - 75

2x = 250

x/Kathy = 125

x + 75/Janet = 125 + 75

= 200

4 0
3 years ago
When a gas is kept at a constant temperature and pressure on it changes, its volume changes according to the following formula,
astra-53 [7]

Answer:  Approximately 1.9 atm

============================================

Work Shown:

P_1*V_1 = P_2*V_2 \ \text{ ... Boyle's Law}\\\\4.5*1.5 = P_2*3.5\\\\6.75 = P_2*3.5\\\\P_2*3.5 = 6.75\\\\P_2 = \frac{6.75}{3.5}\\\\P_2 \approx 1.92857142857142\\\\P_2 \approx 1.9\\\\

If the volume is 3.5 liters, then the pressure is approximately 1.9 atm.

Note the increase in volume leads to the reduction of pressure, and vice versa. The two variables have an inverse relationship.

-----------

As a check,

P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.9*3.5\\\\6.75 \approx 6.65\\\\

We don't get the exact thing on both sides, but the two sides are close enough. We have rounding error due to P2 being not exact.

A more accurate check could be

P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.92857*3.5\\\\6.75 \approx 6.749995\\\\

which has the two sides much closer to one another. This helps us verify the answer.

5 0
3 years ago
I need help!!! Pleasssse!!!!
Zinaida [17]
Given the ratio, you know that:
length = 6x
width = 2x
height = 7x

Because the sum of the length and the width is 24 cm, you can write the equation:
6x + 2x = 24
Solve:
8x = 24
x = 3

Plug the 3 back into the expressions written earlier for length, width, and height.
length = 18 cm
width = 6 cm
height = 21 cm

Use the formula SA = 2B + Ph to solve for the surface area.
Surface Area = 2(area of the base) + (perimeter of the base)(height)

I'm going to plug in l, w, and h as variables for length, width, and height to show the exact way to solve for the B and P.
SA = 2lw + 2(l + w)h
SA = 2(18)(6) + 2(18 + 6)(21)
SA = 216 + 2(24)(21)
SA = 216 + 1008
SA = 1224

The surface area is 1,224 cm^2.


7 0
3 years ago
Is the graph of a function rule that relates a squares area to its side length continuous or discrete? Explain
Hoochie [10]
Continuous, because its the area.
Hope this helps...
3 0
3 years ago
What is the sum of 9.8 and 573.54
Setler79 [48]
583.34 Youre Welcome!
4 0
3 years ago
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