Diagram shows two perpendicular straight lines,OB and CBD,drawn on a Cartesian plane.find
(a)the equation of the straight line CBD
(b)the-x intercept of the straight line DQ
Answers
Answer: (a) y = -3x + 10
Step-by-step explanation:
The slope of line CD is perpendicular to line OB, which means they have opposite and reciprocal slopes.
Step 1: Find the slope of OB using the formula:
(x₁, y₁) = (0, 0) and (x₂, y₂) = (3, 1)
Step 2: Find the slope of CD (opposite and reciprocal of OB)
Step 3: Input the perpendicular slope and the slope into the Point-Slope formula: y - y₁ = m(x - x₁)
(x₁, y₁) = (3, 1) because it is the point the line will pass through
y - 1 = -3(x - 3)
y - 1 = -3x + 9 distributed -3 into (x - 3)
y = -3x + 10 added 1 to both sides
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The x-intercept of DQ is the same x-intercept as CD. The x-intercept is when y = 0
y = -3x + 10
0 = -3x + 10
-10 = -3x subtracted 10 from both sides
divided both sides by -3
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A business rents in-line skates and bicycles.
During one day the business has a total of 26 rentals and;
Collects $485 for the rentals.
In-line skates are rented for $10 per day and;
Bicycles are rented for $35 per day.
Solution:
Let the number of in-line skates rented be x and;
The number of bicycles rented be y.
x + y = 26 ... (i)
10x + 35y = 485 ... (ii)
This forms a system of linear equations (i) and (ii)
Solving this system by elimination;
We multiply (i) by 10 and (ii) by 1
10x + 10y = 260 ... (i)
10x +35y = 485 ... (ii)
Subtracting (ii) - (i) gives;
25y = 225 , y = 225/25 = 9
x = 26 - 9 = 17
The number of in-line skates rented were 17.
The number of bicycles rented were 9.
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Final answer:
To convert a mixed number to a decimal, divide the fraction part and add it to the whole number.
Explanation:
To convert a mixed number to a decimal, you need to convert the fraction part to a decimal and then add it to the whole number. In this case, the mixed number is 4 15/16. To convert the fraction 15/16 to a decimal, divide the numerator (15) by the denominator (16). The result is approximately 0.9375.
Next, add the decimal 0.9375 to the whole number 4. The sum is 4.9375.
Therefore, 4 15/16 as a decimal is approximately 4.9375.
Learn more about Converting mixed numbers to decimals here:
#SPJ11
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Answer:
r=7
Step-by-step explanation:
-84+15r=3r
Subtract 15r from each side
-84+15r-15r=3r-15r
-84 = -12r
Divide each side by -12
-84/-12 = -12r/-12
7 = r
Answer:
r = 7
Step-by-step explanation:
So the reason that the answer is 7 is because in this equation you have to get all the r's on one side and the other numbers on the other side of the equal sign.
-84 + 15r = 3r
-84 = -12r
you then divide both sides of the equal sign by -12 in order to get rid of the -12 next to the r variable and when you divide the negative 84 by a negative 12 you will get a positive 7 giving you the answer r = 7
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Answer:
i can help i took that last year
Step-by-step explanation:
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Formula for SA of a pyramid is: lw+l(√w/2)^2+h^2+w√l/2^2+h^2
We're given all pieces of information, b(l)=9 w=9 h=16
You should be able to plug those values into the equation yourself.