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2 years ago

Does the line represented by the equation: y=-2x+5 have a positive slope?

Mathematics

1 answer:

Veronika [31]2 years ago

7 0

Answer:

Step-by-step explanation:

No, it doesn’t have a positive slope because the negative sign in front 2 means that the slope is negative and going down. If the slope would’ve been positive than there wouldn’t have been a negative sign and it would go up.

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Write the equation of the line perpendicular to 2x-5y=-12 that passes through the point (10,-1) in slope-intercept form.

m_a_m_a [10]

Answer:

$y=-\frac{5}{2}x-24$

Step-by-step explanation:

$2x-5y=-12\\5y=2x+12\\y=\frac{2}{5}x+\frac{12}{5}\\$

if two lines perpendicular,

$m_{1} .m_{2}=-1\\ \frac{2}{5} .m_{2}=-1\\m_{2}=-\frac{5}{2}$

the line perpendicular to this line is

$y=-\frac{5}{2}x+k$ ; k ∈ R

the line passes through the point (10,-1)

so,

$-1=-\frac{5}{2} (10)+k\\-1=-25+k\\k=-24$

∴the equation of the line perpendicular to 2x-5y=-12 that passes through the point (10,-1) is

$y=-\frac{5}{2}x-24$

4 0

3 years ago

I'm not sure if this is correct, can someone verify?

Olegator [25]

Answer:

Step-by-step explanation:

$A=\frac{\pi (7.5^2)}{2}+\frac{15(20)}{2}\\ \\ A=\frac{56.25\pi +300}{2}\\ \\ A\approx 238.36m^2\\ \\ \text{You had the area equations correct but you didn’t compute them correctly.}$

7 0

3 years ago

Classify the triangle by its sides and then by its angle

Mariana [72]

Answer:

equilateral right triangle

Step-by-step explanation:

7^2+7^2=c^2

49+49=c^2

c^2=98

c=10

Therefore, equilateral right triangle

4 0

3 years ago

055

Citrus2011 [14]

B. 855/4.5 is 190. Out of all four choices, 475 cal / 2.5 servings is the only which leave you 190.

4 0

3 years ago

Name the segment parallel to the given segment for #2

Svetlanka [38]

YZ ║ XT

RS ║ XZ

XY ║ TS

I am not a professional, I am simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

5 0

3 years ago