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alukav5142 [94]
3 years ago
13

             The equation of a line is x + 5y = 12. What is the y-intercept of the line?

Mathematics
2 answers:
makkiz [27]3 years ago
7 0
x + 5y = 12 \\ \\the \ slope \ intercept \ form \ is : \\ \\ y= mx +b \\ \\ m \ slope , \ y \ intercept = b \\ \\5y=-x+12 \ \ /:5 \\\\y=-\frac{1}{5}+\frac{12}{5}\\\\Answer: \ y-intercept: \  b=\frac{12}{5}
KatRina [158]3 years ago
3 0
X+5y=12
5y=12-x
y=(12-x)/5
y=12/5-x/5

The intercept is 12/5
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Which triangle drfined by the given points on the coordinate plane is similar to the triangle illustrated? ​
Harrizon [31]

Answer:D.) (-1, 1), (-1, 5), (-7, 1)

Step-by-step explanation:The length of the horizontal segment of the triangle graphed is 3.  The length of the vertical segment of the triangle graphed is 2.  Using the Pythagorean theorem, this makes the length of the missing side

2²+3²=c²

4+9 = c²

13=c²

√13 = c

This makes our side lengths 2, 3, and √13.

For choice A our vertices are (-1, 1), (-1, 4), (-6, 1).

This makes the length of the horizontal segment 5 and the length of the vertical segment 3.  This makes the missing side length

5²+3²=c²

25+9=c²

34=c²

√34 = c

This is not proportional to the triangle drawn, so it is not similar.

The vertices of the triangle in option B are (-1, 1), (-1, 5), and (-6, 1).  This makes the horizontal segment 5 units long and the vertical segment 4 units long.  This makes the missing side length

4²+5²=c²

16+25=c²

41=c²

√41=c

These are not proportional to the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice C are (-1, 1), (-1, 4) and (-7, 1).  This makes the length of the horizontal segment 6 and the length of the vertical segment 3.  This makes the missing side length

3²+6²=c²

9+36=c²

45=c²

√45=c

3√5=c

These sides are not proportional to the sides of the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice D are (-1, 1), (-1, 5) and (-7, 1).  This makes the length of the horizontal segment 6 and the length of the vertical segment 4.  This makes the missing side length

6²+4²=c²

36+16=c²

52=c²

√52=c²

2√13=c

These sides are all twice as long as the sides of the triangle drawn; this means the triangles are similar.

4 0
3 years ago
NEED HELP FAST!!
Dafna11 [192]

Answer:

see below

Step-by-step explanation:

dilation with a scale factor of 1/3 means the distances to the center shrink by 1/3

so for center (4,-2)

distance of (7,4) is 3 n 6 to center

1/3 of distance = 1 n 2

so (7,4) become (4+1, -2+2) = (5, 0) after the dilation


similarly u can find the other 2 pts

distance of (-2,4) is -6 n 6 to center

1/3 of distance = -2 n 2

so (-2,4) become (4-2, -2+2) = (2, 0) after the dilation


distance of (1, 10) is -3 n 12 to center

1/3 of distance = -1 n 4

so (1,10) become (4-1, -2+4) = (3, 2) after the dilation


plot the new triangle using the 3 pts

8 0
3 years ago
X-5<br> 2<br> = 7<br> =<br> Solve for x
erica [24]

x = √ 7 + 5 , − √ 7 + 5

x = 7.64575131 … , 2.35424868 …

4 0
3 years ago
Read 2 more answers
What is the value of f(-2)?
Naddika [18.5K]
The answer to f(-2) is -3
4 0
3 years ago
Can someone help me on number 16 !!!!!
kap26 [50]

Answer:

number 16 there i spelled it.

Step-by-step explanation:

5 0
3 years ago
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