The lines AB and CB intersect at B
(a) Find the co-ordinates of the midpoint of AB
(b) Find the equation of the line CB
Answers
Step-by-step explanation:
Soln
given,
from the figure
coordinate of B is (5,3),
A(7,0) and C(0,4)
A. solution
let, M(x,y) be the mid point of AB
A(7,0) = (x1,y1)
B(5,3) = (x2,y2)
we know
x = (x2+x1)/2
or, x = (5+7)/2
or, x = 12/2
or, x = 6
and for y
y = (y2+y1)/2
or, y = (3+0)/2
or, y = 3/2
therefore M(x,y) = (6,3/2)
B. solution
let,
C(0,4) = (x1,y1)
B(5,3) = (x2,y2)
equation of line is ;
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
or, (y - 4)/(x -0) = (3 - 4)/(5 - 0)
or, (y - 4)/(x - 0) = -1 / 5
by cross multiply
or, 5×(y - 4) = -1×(x)
or, 5y - 20 = -x
or, x + 5y = 20 is the required equation.
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What are the x- and y-intercepts of the following Standard Form Equation:
- 2x + 5y = 0
Answers
Answer:
X-Intercept: [tex]x=-\frac{5}{2}y[/tex]
Y-Intercept: [tex]y=-\frac{2}{5}x[/tex]
Step-by-step explanation:
X-Intercept-
2x+5y=0 - Move the variable to the right-hand side and change its sign
2x=-5y - Divide both side of the equation by 2
x=-5/27 - Write the solution x in parametric form
x=-5/2y, y∈R
Y-Intercept-
2x+5y=0 - Move the variable to the right hand side and change its sign
5y=-2x Divide both sides of the equation by 5
y=-2/5x Write the solution y in parametric form
y=-2/5x, x∈R
One report said that it rained 3 inches in two days. It actually rained 1.05 inches and 1.8 inches. How far off was the report? Explain your answer.
Answers
Answer:
Step-by-step explanation:
1.80 + 1.05 = 2.85
3.00 - 2.85 = .15 inches
If a = -3, find the value of 3a²
Answers
Step-by-step explanation:
given
a = - 3
3a² = 3 * ( -3) ²
= 3 * 9
= 27
The value of 3a² is 27.
f f(x)=4x^(2)-9, find f(-1)
f(-1)= ?
Answers
Answer:
[tex]f(-1)=-5[/tex]
Step-by-step explanation:
Numeric Value of a Function
Given:
[tex]f(x)=4x^2-9[/tex]
It's required to find f(-1).
It can be calculated by substituting the value x=-1 in the function:
[tex]f(-1)=4(-1)^2-9[/tex]
Calculating:
[tex]f(-1)=4*1-9[/tex]
[tex]f(-1)=4-9[/tex]
[tex]\boxed{f(-1)=-5}[/tex]
-3x+6<27?
Solving Linear Inequalities.
Answers
While solving, you can treat inequalities the exact same as you would treat equations. Pretend the inequality sign is an equals sign. Now solve for x.
-3x + 6 < 27
-3x < 21
3x < -21
x < -7
Pls help me with this question.
Answers
Answer:
x=1Step-by-step explanation:
[tex] \frac{5(x + 6) - 15(2 - x)}{3x - 1} = 10 \\ [/tex]
[tex] = > 5(x + 6) - 15(2 - x) = 10(3x - 1)[/tex]
[tex]5x + 30 - 30 + 15x = 30x - 10[/tex]
[tex] = > 20x = 30x - 10 \\ = > 20x - 30x = - 10 \\ = > - 10x = - 10 \\ = > x = 1[/tex]
hope it helps:)
5x+30-30+15x / 3x-1 = 10
Simplify.
20x / 3x-1 = 10
Multiply both sides by the denominator.
20x = 30x-10
Divide both sides by 20.
x = 3/2-1/2
Subtract the fractions.
x = 1
Which of the following sunds does not result in an answer of -5?
1. (-7) + (+2)
2. (-11) + (+6)
3. (-9) - (-4)
4. (-8) - (+3)
Answers
Answer:
4. (-8) - (+3)
Step-by-step explanation:
This answer does not result in an answer of -5
This subtracts -3 from -8, which gives you the answer of -11.
So, this answer is correct because it is the one that doesn't result in -5.
Answer:
Problem #4
Step-by-step explanation:
Some things to remember when doing problems like are
Double negative = positive
Double positive = positive
Negative & positive = negative
1. (-7) + (+2) 2. (-11) + (+6) 3. (-9) - (-4) 4. (-8) - (+3)
-7 + 2 -11 + 6 -9 + 4 -8 - 3
-5 -5 -5 -11
if g(x) =x -7, what if the value of x when g(x) =6
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Answer:
x=13
Step-by-step explanation:
1. Place 6 in
6=x-7
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Step-by-step explanation:
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Step-by-step explanation:
I got some money for my birthday. I save and spend in the ratio 2:3. I save £32. How much money did I receive for my birthday?
Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Represent Brown with B and Black with A
So:
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Required
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Answers
Answer:
We are given
We are also given and , which allows us to rewrite the equation as
(I substituted every "b" with "a" and every "c" with "9").
The solutions to this quadratic equation are -25 and 7. We discard -25 because a side with negative length would make no sense.
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What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
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Step-by-step explanation:
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Step-by-step explanation: