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Zinaida [17]
3 years ago
15

Find the equation of the line perpendicular to 3x-7y=42 which passes through the point (-3,-8)

Mathematics
1 answer:
harkovskaia [24]3 years ago
4 0
For perpendicular lines, m1m2 = -1 or m2 = -1/m1; where m1 and m2 are the slopes of the lines.
Here line 1 is 3x - 7y = 42
7y = 3x - 42
y = 3/7 x - 6; Hence m1 = 3/7
m2 = -1/(3/7) = -7/3
Required equation y - y1 = m2(x - x1)
y - (-8) = -7/3(x - (-3))
y + 8 = -7/3(x + 3)
y + 8 = -7/3 x - 7
y = -7/3 x - 7 - 8
y = -7/3 x - 15
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STEP BY STEP PLEASE
Soloha48 [4]
We can find the side length of square 3 by dividing by 4, which is 9.

Then, we find the side length of square 2 by dividing it by 4, which is 12.

To find the AREA of square 1, we do a^2+b^2=c^2. This is basically adding up area of square 1 and square 2 to get square 3.

a^2+b^2=c^2
9^2+12^2=c^2
81+144=225

So the area is 225 units.

6 0
3 years ago
Read 2 more answers
Dr bell donated 2(3x+60) dollars to the salvation army, 5x dollars to the church and $100 to a sport shop. If he donated a total
Andreyy89
He donated $285 to the salvation army.
The first thing to do is solve for "x". The equation would be {2(3x+60)}+5x+100=550. 
Then, you would multiply 2 with 3x and 60. Your new equation would be 5x+120+5x+100=550. 
Next, you would combine like terms. This means to combine the terms that are similar. In this case, it would be the whole numbers and the numbers with the variable. Your new equation would be 10x+220=550. 
After that, you subtract 220 on both sides of the equal sign. This makes the equation 10x=330. 
Then, you divide ten on both sides of the equal sign, giving you x=33.
The second things to is replace the x with 33. The amount for the salvation army is 5x+120. Replacing 33 with x, your final equation will be 165+120=$285.

Have a great day!!! :)
5 0
3 years ago
Tina can grow 2 plants with every seed packet. How many seed packets does Tina need to
AlladinOne [14]

Answer:

7 is the answer

Step-by-step explanation:

2x7=14

8 0
3 years ago
Read 2 more answers
A runner was timed at 4 miles per hour. how many feet per minute did they run?​
kherson [118]

Answer:

352

Step-by-step explanation:

because miles are 5,280 steps so 5,280 multiplied by 4 as in miles is 21,120 so that divided by 60 as in a minute it will be 352

8 0
3 years ago
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Which could be the area of one face of the triangular prism? Select three options.
katovenus [111]

Answer:

(A)24 square units

(C)72 square units

(D)96 square units

Step-by-step explanation:

<u>Triangular face</u>

Height of the Triangle=6 Units

Base of the Triangle=8 Units

Area of the Triangular Face

=\frac{1}{2}bh\\ =\frac{1}{2}*8*6\\=24 $ square units

<u>Rectangular Faces</u>

Area of Rectangular face with dimension 12 by 10=12 x 10=120 Square Units

Area of Rectangular face with dimension  12 by 8= 12 X 8=96 Square Units

Area of Rectangular face with dimension 12 X 6=12 x 6=72 Square Units

From the options, the areas are:

  • 24 square units
  • 72 square units
  • 96 square units

4 0
3 years ago
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