Two equations for two perpendicular lines that have the same y-intercept and do not pass through the same origin are; y = x + 1 and y = -x + 1
<h3>What is the equation of the two lines?</h3>
The general formula for the equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, when we talk about two perpendicular lines, it means that their slopes are negative reciprocals of each other.
Secondly, we are told that they both do not pass through the origin. Thus, it means that the y-intercept cannot be zero.
Therefore, two possible equations here can be;
y = x + 1 and y = -x + 1
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Answer:
33.51 cm
Step-by-step explanation:
240/360 = 2/3 (Arc length is 2/3 of the total circumference)
C = 2r ( Calculate the total circumference)
C = 2(8)
C = 50.265
2/3(50.265) (Take 2/3 of the circumference. times 2 divide by 3)
33.51
Use a calculator and leave the answer to C and then multiply and divide. You get a more precise answer.
Answer:
The value of x = 7
Step-by-step explanation:
To solve this, we will have to fist of all know that the sum of all the angles in a right-angled triangle is 180 degrees.
In addition to that, since the triangle is a right-angled triangle, automatically, one of the angles is = 90 degrees
The next thing to do is to add all the angles together and equate them to 180 degrees.
Angle WXZ + Angle ZXY + 90 = 180 degrees
7x+8 + 5x-2 + 90 = 180
12x + 96 = 180
12x = 84
x = 7
Rate is the number of death over time. So 1000 divide by 365 days =2.78
NOTES: Find the common factor of the terms and factor it out:
1. Answer: 15r²(3r - 1)
<u>Step-by-step explanation:</u>
45r³ - 15r² <em>they both have 15 and r² as factors</em>
= 15r²(3r - 1)
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2. Answer: 3x(3x - 1)
<u>Step-by-step explanation:</u>
9x² - 3x <em>they both have 13 and x as factors</em>
= 3x (3x - 1)
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3. Answer: x(x + 3)
<u>Step-by-step explanation:</u>
x² + 3x <em>they both have x as a factor</em>
= x(x + 3)