Answer:
y+11=-2/3(x-6)
Step-by-step explanation:
To find the parallel line, we would just plug in the numbers in the point-slope form from what we're given. We have y=-2/3x+12 and (6,-11).
Point-slope form:
y-y1=m(x-x1) → y+11=-2/3(x-6)
m represents the slope, which is -2/3 in this situation.
y1 represents the y coordinate, which is -11 in this situation. However, when we plug in negative numbers in a point-slope form, we would do the opposite of the negative number, which is to make it a positive in point-slope form.
x1 represents the x coordinate, which is 6 in this situation.
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We are asked to evaluate
.

- The notation |x| denotes absolute value.
The absolute value of a number is its distance from zero.
Absolute value is always positive; distances can't be negative, right?
So we need to find the absolute value of 98, which is:

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For# 1 the answer would be
-3/5
for #2 the answer would be
3/4
i hope this helps :)
In order for two triangles to be similar, there must be 2 pairs of congruent angles. Since two angles of triangle PQR have different measures from two angles of triangle RST, it is impossible to have two pairs of congruent angles, so the triangles cannot be similar.
The answer is in bold type below.
<span>All
interior angles must be given to determine similarity.
The triangles
are not similar.
Similarity cannot be determined from the given
information.
The triangles are similar.
</span>
Answer:
1861.39 cm²
Step-by-step explanation:
Given:
d = 15 cm
radius (r) = ½(15) = 7.5 cm
Height = 32 cm
Surface area of a cylinder = 2πrh + 2πr²
Plug in the values
Surface area = 2*π*7.5*32 + 2*π*7.5²
= 1861.39 cm²