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STALIN [3.7K]
3 years ago
10

write the equation of the line that passes through the points (0,-5) and (2,-1) in fully reduced point slope form

Mathematics
1 answer:
statuscvo [17]3 years ago
5 0

Answer:

Point Slope Form: y - 0 = 2 (x + 5)

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Evaluating the Six Trigonometric Function Question attached
ziro4ka [17]
If tan theta is -1, we know immediately that theta is in either Quadrant II or Q IV.  We need to focus on Q IV due to the restrictions on theta.

Because tan theta is -1, the ray representing theta makes a 45 degree angle with the horiz axis, and a 45 degree angle with the negative vert. axis.  Thus the hypotenuse, by the Pythagorean Theorem, tells us that the hyp is sqrt(2).
Thus, the cosine of theta is adj / hyp, or +1 / sqrt(2), or [sqrt(2)]/2

The secant of theta is the reciprocal of that, and thus is

   2            sqrt(2)
---------- * ------------ = sqrt(2)    (answer)
 sqrt(2)      sqrt(2)  
6 0
3 years ago
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3 years ago
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What is the equation of a line that passes through the points (-3, 4) and (2,8)?
ziro4ka [17]

Given that the line passes through the two points (-3,4) and (2,8)

We need to determine the equation of the line.

<u>Slope:</u>

The slope of the line can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the points (-3,4) and (2,8) in the above formula, we get;

m=\frac{8-4}{2+3}

m=\frac{4}{5}

Thus, the slope of the line is m=\frac{4}{5}

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

y-y_1=m(x-x_1)

Substituting the point (-3,4) and m=\frac{4}{5} in the above formula, we have;

y-4=\frac{4}{5}(x+3)

y-4=\frac{4}{5}x+\frac{12}{5}

     y=\frac{4}{5}x+\frac{12}{5}+4

     y=\frac{4}{5}x+\frac{32}{5}

Thus, the equation of the line is y=\frac{4}{5}x+\frac{32}{5}

6 0
3 years ago
I NEED HELP PLEASEAND STEPS
Ratling [72]

Answer:

2 17/20

Step-by-step explanation:

1 7/10+1 1/2=1 7/10+1 10/20=2 17/20

Please mark as Brainliest! :)

Have a nice day.

6 0
3 years ago
Jill says he did it wrong. He should have multiplied the bottom first (3 x 5) and then multiplied by the height. Explain to Jill
inna [77]

Answer:

Step-by-step explanation:

Jack's method is equivalent because of the "law of commutative property", which means that multiplication problems have the same result no matter the order.

2x5 is the same as 5x2

8 0
3 years ago
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