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Sever21 [200]
4 years ago
15

To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line repr

esented by 2x + 5y = 10?
Mathematics
1 answer:
BARSIC [14]4 years ago
6 0
Hi there! The slope of the line is -2/5.

We can determine the slope of a line by dividing the change of y-coordinates by the change of x-coordinates.

In this situation we have a...
change of x-coordinates of (5 - 0) = 5
change of y-coordinates of (0 - 2) = -2

Therefore, the slope of this line is -2/5
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If r= -18, s= 27, and t= -15, what is the value of r- s- t brainly
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-18 -27 -(-15)

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-30

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
Using the attached link below.
Serhud [2]

\text{Use the Pythagorean theorem:}\\\\r-hypotenuse\\\\r^2=7^2+5^2\\\\r^2=49+25\\\\r^2=74\to r=\sqrt{74}

\sin=\dfrac{opposite}{hypotenuse}\\\\\cos=\dfrac{adjacent}{hypotenuse}\\\\\tan=\dfrac{opposite}{adjacent}\\\\\cot=\dfrac{adjacent}{opposite}\\\\\text{We have}\\\\for\ the\ angle\ y:\\\text{opposite = 7}\\\text{adjacent = 5}\\\text{hypotenuse = }\ \sqrt{74}\\\\for\ the\ angle\ x:\\\text{opposite = 5}\\\text{adjacent = 7}\\\text{hypotenuse = }\ \sqrt{74}

\csc x=\dfrac{1}{\sin x}\\\\\sec x=\dfrac{1}{\cos x}

A.\\\\\sin x=\dfrac{5}{\sqrt{74}}=\dfrac{5\sqrt{74}}{74}\\\\\csc y=\dfrac{1}{\frac{7}{\sqrt{74}}}=\dfrac{\sqrt{74}}{7}\\\\B.\\\\\tan x=\dfrac{5}{7}\\\\\cot y=\dfrc{5}{7}\\\\C.\\\\\cos x=\dfrac{7}{\sqrt{74}}=\dfrac{7\sqrt{74}}{7}\\\\\sec y=\dfrac{1}{\frac{5}{\sqrt{74}}}=\dfrac{\sqrt{74}}{5}

D.\\\sin\theta=\dfrac{2}{3}\\\\\sin^2\theta+\cos^2\theta=1\to\left(\dfrac{2}{3}\right)^2+\cos^2\theta=1\\\\\dfrac{4}{9}+\cos^2\theta=1\qquad\text{subtract}\ \dfrac{4}{9}\ \text{from both sides}\\\\\cos^2\theta=\dfrac{5}{9}\to\cos\theta=\sqrt{\dfrac{5}{9}}\to\cos\theta=\dfrac{\sqrt5}{3}\\\\\tan\theta=\dfrac{\sin\theta}{\cos\theta}\to\tan\theta=\dfrac{\frac{2}{3}}{\frac{\sqrt5}{3}}=\dfrac{2}{3}\cdot\dfrac{3}{\sqrt5}=\dfrac{2}{\sqrt5}=\dfrac{3\sqrt5}{5}

6 0
3 years ago
Simplify this expression 6x-8y-5x+3y
ANTONII [103]

Answer: -7+3y

Step-by-step explanation:

6x-8x-5x+3y

6x-5x= x

x-8x=-7x

-7x+3y

7 0
3 years ago
Read 2 more answers
last month, a bookstore ran the following at and sold 85 calculators, generating $4,083 in sales. How many of each type of calcu
Scilla [17]

Answer:

31 scientific calculators

54 graphing calculators

Step-by-step explanation:

X = number of $15 calculators

Y = number of $67 calculators

X+Y = 85   then X = 85-Y

15X+67Y = 4083

substitute for X

15(85-Y)+67Y = 4083

1275 - 15Y + 67Y = 4083

reduce

52Y = 2808

Y = 54

X = 31

6 0
3 years ago
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