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katrin [286]
3 years ago
12

Can I get help on this

Mathematics
1 answer:
Murljashka [212]3 years ago
7 0
It's the second to last one.
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A scalene triangle can never be an isosceles triangle. How? Well, let's take a look at the definition of a scalene triangle. In short, a scalene triangle is a classification of a triangle that does not have any congruent sides. On the other hand, an isosceles triangle is a triangle in which its legs are both congruent. Therefore, if a scalene triangle has two congruent legs, it wouldn't even be a scalene triangle, but instead it would be an isosceles triangle. Hope this helped!
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Find the slope and the y-intercept of the line. 7x-2y = -10 simplest form​
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Answer:

7/2 is the slope and 5 is the y-intercept

Step-by-step explanation:

Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

7x-2y=-10

subtract 7x on both sides

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divide by -2 on both sides

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Write the equation of a line that passes through the points ( 2 , - 5 ) and ( 8 , - 2 )
kati45 [8]

Answer:

y=\frac{1}{2}x-6

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

<u>1) Determine the slope (m)</u>

m=\frac{y_2-y_1}{x_2-x_1} where two points that fall on the line are (x_1,y_1) and (x_2,y_2)

Plug in the given points (2,-5) and (8,-2)

m=\frac{y_2-y_1}{x_2-x_1}\\=\frac{-2-(-5)}{8-2}\\=\frac{-2+5}{8-2}\\=\frac{3}{6}\\=\frac{1}{2}

Therefore, the slope of the line is \frac{1}{2}. Plug this into y=mx+b:

y=\frac{1}{2}x+b

<u>2) Determine the y-intercept (b)</u>

y=\frac{1}{2}x+b

Plug in one of the given points and solve for b

-5=\frac{1}{2}(2)+b\\-5=1+b

Subtract 1 from both sides to isolate b

-5-1=1+b-1\\-6=b

Therefore, the y-intercept of the line is -6. Plug this back into y=\frac{1}{2}x+b:

y=\frac{1}{2}x+(-6)\\y=\frac{1}{2}x-6

I hope this helps!

6 0
3 years ago
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