Write the equations of the line with the slope=6 that passes through (4,-6)
2 answers:
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Question 1:
The area of the triangle is cm², if you want it rounded to the nearest whole number it will be 10 cm²
Question 2:
The area of the parallelogram is 304.5 m²
Question 3:
The ratio of grilled chicken salads sold to the total number of lunches sold is 1 : 3 in the simplest form
Question 4:
The ratio of odd to even digits in the following number: 7,208,631
is 3 : 4
Question 5:
5 tons is equal to 10,000 pounds
Question 6:
A table measures 3 feet across is 36 inches across
Step-by-step explanation:
Question 1:
The formula of the area of a triangle is , where
- b is the base of the triangle
- h is the height of the triangle
∵ The base of the triangle = cm
∵ The height of the triangle = cm
- Change the mixed numbers to improper fractions
∵ =
∵ =
∴ cm²
- To change the improper fraction to mixed number divide 77 by 8
∵ 77 ÷ 8 = 9 and remainder 5 (8 × 9 = 72 , 77 - 72 = 5)
∴ 77 ÷ 8 =
∴ cm²
The area of the triangle is cm²
If you want to round it to the nearest whole number the area will
be 10 cm²
Question 2:
The formula of the area of a parallelogram is A = b h , where
- b is the base of the parallelogram
- h is the height of this base of the parallelogram
∵ The base of the parallelogram = 14.5 m
∵ Its height = 21 m
∵ A = b h
∴ A = 14.5 × 21 = 304.5 m²
The area of the parallelogram is 304.5 m²
Question 3:
∵ The cafeteria sold 200 grilled cheese sandwiches, 100 tacos, and
150 grilled chicken salads
∴ The cafeteria sold = 200 + 100 + 150 = 450 lunches
- To find the ratio between the grilled chicken salads sold to the total
number of lunches sold divide them and simplify the answer to the
lowest term
→ G.C.S : Lunches
→ 150 : 450 ⇒ divide both by 10
→ 15 : 45 ⇒ divide both by 5
→ 3 : 9 ⇒ divide both by 3
→ 1 : 3
The ratio of grilled chicken salads sold to the total number of lunches sold is 1 : 3 in the simplest form
Question 4:
The even numbers are the numbers whose one digit is 0 , 2 , 4 , 6 , 8
The odd numbers are the numbers whose one digit is 1 , 3 , 5 , 7 , 9
∵ The number is 7,208,631
∵ The odd digits are 7 , 3 , 1
∴ There are 3 odd digits
∵ The even numbers are 2 , 0 , 8 , 6
∴ there are 4 even digits
∴ The ratio of odd to even digits is 3 : 4
The ratio of odd to even digits in the following number: 7,208,631
is 3 : 4
Question 5:
∵ One ton is equal to 2000 pounds
∵ There are 5 tons
→ Ton : Pound
→ 1 : 2000
→ 5 : x
Use the cross multiplication
∵ 1 × x = 5 × 2000
∴ x = 10,000 pounds
5 tons is equal to 10,000 pounds
Question 6:
∵ A table measures 3 feet across
∵ 1 foot = 12 inches
∴ 3 × 12 = 36 inches
A table measures 3 feet across is 36 inches across
Learn more:
You can learn more about ratio in brainly.com/question/10781917
#LearnwithBrainly
Answer:
c) 6x + y = -52 is required equation perpendicular to the given equation.
Step-by-step explanation:
If the equation is of the form : y = mx + C.
Here m = slope of the equation.
Two equations are said to be perpendicular if the product of their respective slopes is -1.
Here, equation 1 : -x + 6y = -12
or, 6y = -12 + x
or, y = (x/6) - 2
⇒Slope of line 1 = (1/6)
Now, for equation 2 to be perpendicular:
Check for each equation:
a. x + 6y = -67 ⇒ 6y = -67 - x
or, y = (-x/6) - (67/6) ⇒Slope of line 2 = (-1/6)
but
b. x - 6y = -52 ⇒ -6y = -52 - x
or, y = (x/6) + (52/6) ⇒Slope of line 2 = (1/6)
but
c. 6x + y = -52
or, y =y = -52 - 6x ⇒Slope of line 2 = (-6)
Hence, 6x + y = -52 is required equation 2.
d. 6x - y = 52 ⇒ -y = 52 - 6x
or, y = 6x - 52 ⇒Slope of line 2 = (6)
but
Hence, 6x + y = -52 is the only required equation .