The value of ac is -1
Step-by-step explanation:
Let us revise some rules
- The slope-intercept form of the linear equation is y = m x + b, where m is the slope of the line and b is the y-intercept
- The product of the slopes of the perpendicular lines is -1
∵ The equation of the first line is y = a x + b
- The equation of the line in the slope-intercept form
∴ m = a
∴ The slope of the line = a
∵ The equation of the second line is y = c x + d
- The equation of the line in the slope-intercept form
∴ m = c
∴ The slope of the line = c
∵ The two lines are perpendicular
∵ The product of the slopes of the perpendicular lines is -1
- Multiply the two slopes and equate the product by -1
∴ (a)(c) = -1
The value of ac is -1
Learn more:
You can learn more about slopes of lines in brainly.com/question/1979240
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Answer:
False. It is half as large.
Step-by-step explanation:
The best way to answer a question like this is to try an example. The easiest case is an equilateral triangle where all 3 sides are equal. So suppose that all sides are 10 units long.
The perimeter (P) is 3s. Let
- s = 10 units.
- Then P = 3*10
- P = 30
You are instructed to cut all sides in half
- s = 5
- p = 3*S
- p = 3 * 5
- p = 15
The perimeter is 1/2 as larger as the original, not 1/4. The statement is FALSE.
Does this work with any triangle. Try one that is Scalene (no side equals any other side).
- s1 = 5
- s2 = 6
- s3 = 7
- P = s1 + s2 + s3
- P = 5 + 6 + 7
- P = 18
Now you cut all three sides in 1/2
- s1 = 2.5
- s2 = 3
- s3 = 3.5
- P = s1 + s2 + s3
- P = 2.5 + 3 + 3.5
- P = 9
9 is 1/2 of 18. The new perimeter is 1/2 the old. The statement is false.
Answer:
bananas: 2480
plantains: 20
Step-by-step explanation:
equations:
b+p=2500
b=124p
just plug then in and solve
Answer:
m = 1 (since the gradient of parallel lines is the same)
Then substitute point (-1;2)
C = 3
y = x+3
