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lozanna [386]
4 years ago
7

I NEED HELP FAST

Mathematics
1 answer:
Over [174]4 years ago
7 0
Y= 13 over 10x + 2 is the answer. The most important thing to remember when finding the slope of the line is RISE over RUN. When you rise, you go up or down. When you run, you go right or left. Think of RISE over RUN as a fraction.

You find two points on the line and you count up/down a certain amount of spaces, and right/left a certain amount of spaces to go from one point to the other point.

In this equation, we could use the point on the y-axis and the last point we see on the graph located at (10,15). You count up/down vertically first until you reach the horizontal line that the point is on. Then, you count the amount of spaces horizontally it takes you to reach the point. In this problem, you move up 13 spaces, and move to the right 10 spaces. This as a fraction will be 13 over 10, because we rose 13 spaces and we ran 10 spaces to get to our second point. The y-intercept will be the only number that is on the y-axis, which is 2.
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20 POINTS, please help!!Factor the algebraic expression below in terms of a single trigonometric function.
Lubov Fominskaja [6]
Csc²x - 1

1/sin²x  -  1

1/sin²x  -  sin²x / sin²x

(1 - sin²x) / sin²x

Recall that sin²x + cos²x = 1

So cos²x = 1 - sin²x

So we can replace numerator to cos²x

cos²x / sin²x
 
= cot²x

Final answer: cot²x
6 0
3 years ago
Select the two values of x that are roots of this equation.<br> 2x+11x+15= 0
Amiraneli [1.4K]

Answer:

The roots of the equation are x=-3 and x=-2.5

Step-by-step explanation:

<u><em>The correct quadratic equation is</em></u>

2x^2+11x+15=0

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

2x^{2} +11x+15=0  

so

a=2\\b=11\\c=15

substitute in the formula

x=\frac{-11(+/-)\sqrt{11^{2}-4(2)(15)}} {2(2)}

x=\frac{-11(+/-)\sqrt{121-120}} {4}

x=\frac{-11(+/-)\sqrt{1}} {4}

x=\frac{-11(+/-)1} {4}

x_1=\frac{-11(+)1}{4}=-2.5

x_2=\frac{-11(-)1}{4}=-3

therefore

The roots of the equation are x=-3 and x=-2.5

5 0
3 years ago
How many units long is a segment whose endpoints are (2,3) and (7,15)?
Ahat [919]

Answer:

13 units

Step-by-step explanation:

Distance formula: d = \sqrt{(x2-x1)^2 + (y2-y1)^2}

Simply plug in your variables

d = \sqrt{(7-2)^2 + (15-3)^2}

d = \sqrt{5^2 + 12^2}

d = \sqrt{25 + 144}

d = \sqrt{169}

d = 13

5 0
3 years ago
Make r the subject of the formula t=r/r-3
trapecia [35]

Answer:

r = t(r-3)

Step-by-step explanation:

t = r/r-3

r/r-3 = t

r = t x (r-3)

6 0
3 years ago
What is the average rate of change of the function f(x)=2x+4 over the interval -4 ≤ x ≤ 1? Table
Tom [10]

Answer:

2

Step-by-step explanation:

the rate of change is measured as

\frac{f(b) - f(a)}{b-a} in the closed interval [ a, b ]

here [a, b ] = [- 4, 1 ]

f(b) = f(1) = 2 + 4 = 6

f(a) = f(- 4) = - 8 + 4 = - 4

average rate of change = \frac{6-(-4)}{1-(-4)} = \frac{10}{5} = 2

7 0
3 years ago
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