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Vlada [557]
2 years ago
7

Help please!! Triangle QRS is similar to triangle TUV. Write the equation, in slope-intercept form, of the side of triangle QRS

that is parallel to segment UV. You must show all work to receive credit. (10 points)

Mathematics
1 answer:
Vanyuwa [196]2 years ago
3 0

Answer:

  y = x +9

Step-by-step explanation:

Side RS of triangle QRS is the one that is parallel to side UV. Being parallel, it has the same slope as UV. We observe that UV has a "rise" of 3 units (from 2 to 5) and a "run" of 3 units (from 1 to 4). Its slope is ...

  m = rise/run = 3/3 = 1

__

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

We observe that point S has coordinates (-8, 1), so we can write the equation of line RS in point-slope form as ...

  y -1 = 1(x -(-8))

Adding 1 to both sides and simplifying, we have the slope-intercept equation ...

  y = x +9

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x \leq -3

Step-by-step explanation:

Make common denominators

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3 years ago
Read 2 more answers
HELP PLS GIVING BRAINLIEST
Setler79 [48]

For this case we have by definition, that the equation of a line in the slope-intersection form is given by:

y = mx+b

Where:

m: It's the slope

b: It is the cutoff point with the y axis

We need two points through which the line passes to find the slope:

(0,1)\\(1, -2)

We found the slope:

m = \frac {y2-y1} {x2-x1}\\m = \frac {-2-1} {1-0} = \frac {-3} {1} = - 3

So, the equation is of the form:

y = -3x + b

We substitute a point to find "b":

1 = -3 (0) + b\\1 = b

Finally, the equation is:

y = -3x+1

Answer:

Option C

8 0
3 years ago
Dr.Lamb is mixing a solution for his next patient. He has a cylindrical test tube which is 4 inches across on the inside. The de
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Answer:  There are 34.35 liters left in the test tube.

Step-by-step explanation:

Since we have given that

Depth of the tube = 9 inches

Circumference of base=4 inches

As we know the formula of circumference ,

Circumference=2\pi r\\\\4=2\times \frac{22}{7}\times r\\\\4\times{7}{22\times 2}=r\\\\\frac{7}{11}=r

Now, we need to find the volume of tube is given by

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Since we have also given that,

Of 1 cubic inch of space holds 3 liters of water,

So,

1\text{ cubic inch}=3\text{ liters}\\\\11.45\text{ cubic inches}=3\times 11.45=34.35\text{ liters}

Hence, there are 34.35 liters left in the test tube.



6 0
3 years ago
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