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mote1985 [20]
3 years ago
6

write the standard form of the equation of the line described. through (-2,3), perpendicular to y=2/7x+5

Mathematics
1 answer:
Setler79 [48]3 years ago
4 0
The general form of a linear equation is
y = mx + b
where m = slope and b = y-intercept
Here m = 2/7
To get to its perpendicular equation, first the slope should be negative reciprocal. So the perpendicular slope is m = -7/2
Given the point (-2,3), use the point-slope form equation, that is
y - y1 = m(x - x1)
Plug in
y - 3 = (-7/2)[x - (-2)]
y - 3 = (-7/2)x - 7
y = (-7/2)x - 7 + 3
y = (-7/2)x - 4
That is the equation required.
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Point A is (-9,-3) and is translated 4 left and 2 down. Where is A' at?
mezya [45]

Answer:

A translation maps point A(3,7)A(3,7)A, left parenthesis, 3, comma, 7, right parenthesis to point A'(6,-2)A

′

(6,−2)A, prime, left parenthesis, 6, comma, minus, 2, right parenthesis. Let's determine what translation this is.

Solution

Step 1: Horizontal shift. AAA is shifted 333 units to the right because (6)-(3)=\tealD{+3}(6)−(3)=+3left parenthesis, 6, right parenthesis, minus, left parenthesis, 3, right parenthesis, equals, start color #01a995, plus, 3, end color #01a995.

Step 2: Vertical shift. AAA is shifted 999 units down because (-2)-(7)=\maroonD{-9}(−2)−(7)=−9left parenthesis, minus, 2, right parenthesis, minus, left parenthesis, 7, right parenthesis, equals, start color #ca337c, minus, 9, end color #ca337c.

The answer: AAA is mapped onto A'A

′

A, prime under a translation by \langle \tealD{3},\maroonD{-9} \rangle⟨3,−9⟩open angle, start color #01a995, 3, end color #01a995, comma, start color #ca337c, minus, 9, end color #ca337c, close angle.

Step-by-step explanation:

5 0
2 years ago
You randomly draw a marble from a bag of marbles that contains 8 blue marbles, 5 green marbles, and 8 red marbles.
laila [671]
You have a higher chance of getting a red or blue marble
5 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!<br><br>A. Y=|x+4|+2<br><br>B. y=|x-4|+2<br><br>C. y=|x+4|-2<br><br>D. y=|x-4|-2
Pani-rosa [81]
The answer is <span>C. y=|x+4|-2</span>
3 0
3 years ago
Find the area.<br> help pls
lions [1.4K]

Answer:

81.6 inches squared

Step-by-step explanation:

The formula for calculating all parallelograms is Area+=base*height.

The height is given to you, 6.8, the base of the figure is also given, 12.

Now all you have to do is to multiply.

That would get you to 81.6.

(When asked for area of parallelogram, the length of any line other than the height and base is not needed)

hoped this helped!

6 0
2 years ago
BEEN ASKING FOR A WHILE!! Find the perimeter and area for the triangle. Be sure to write the formula, and use correct measure. ​
Sauron [17]

Answer:

Area = 77ft²

Perimeter = 44 9/20 feets

Step-by-step explanation:

Area of a triangle = 1/2 * base * height

Base = 19 1/4 feets = 77/4 feets

Height = 8 feets

Area = 1/2 * 77/4 * 8

Area = (77 * 8) / 8

Area = 77 feet²

Perimeter of a triangle :

Sum of the sides

Perimeter = a + b + c

Perimeter = 19 1/4 + 10 + 15 1/5

Perimeter = 44 + (1/4 + 1/5)

Perimeter = 44 9/20

6 0
2 years ago
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