How do I solve x^2 - 8x + 16 = 25 using perfect factoring patterns?
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Find the percent of the number 25% 0f 80= what? please help :)
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Albert is organizing an end of term party. The cost of renting a hall for an evening is $100. The cost of food is $8 per person. How much will the party cost if 20 people attend? 50 people attend? Write an algebraic expression for the cost of the party if n people attend. Suppose Albert decides to hire a DJ for the party. The DJ charges $250 for the evening. What is the new cost of the party when n people attend? Suppose the cost of food increases by $2 per person. Write an expression for the total cost of the party with a DJ for n people. The new food price is in effect. How much will the party with a DJ cost for 40 people? Show your work.
sally draws a triangle with one side.6 inches long and another aise.8 inches long. which is not. possible length for the third side?
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Answer: I think it’s 0.25
Step-by-step explanation:
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Y2-Y1
--------
X2-X1
So you do 6-0=6 and 3-0=3. That would be 6/3 and then, you simplify it. Your slope is 2.
To find the y-intercept you have to do the point slope form, then, you do the slope intercept form
Y-Y1=m(x-x1)
You do y-6=2(x-3)
Y-6=2x+(-6)
You add six to both sides
The equation is y=2x
The y-intercept is -6
One more point on the line would be (4,8). Because if you look at the slope it is 2/1. When plotting a point you look at the slope as rise over run. The two is the rise and the 1 is the run. So you go to (3,6) and add 1 to the 3. Then, you add 2 to the 6 to get (4,8). That's why that point is a solution to the function. You could also do (2,4) if you did the opposite and subtracted the 2 and 1 to make the bottom half of the line.
so slope=rise/run so if we plot the points and find how high and how long it went we see that the slope=6/3=2
slope=2
since the line goes through the origin (0,0) the y-intercept=(0,0)
and the equation is
y=mx+b
m=slope
b=how much away from the origin whic is not applicable in this problem. so
y=2x
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A = 12 x 8
A = 96 square feet
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1) How tall are Sally and Anna if Sally is 0.1 m taller than Anna and their combined height is 3.16 metres?
Sally _ Anna _
2) Find these simple quantities
a. 1/5 of $50
b. 10% of $40
Thank you!
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2) 1/5 of $50 is $10 (just divide 50 by 5)
10% of $40 is $4 (multiply 40 by 0.1)
.
x + x + 0.1 =3.16
2x=3.16-0.1
2x=3.06
x=3.06/2
X=1.53
So anna's height is 1.53m and sally's is 1.53+0.1=1.63m.
This is how u do it hope it helped:)
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Here's what it's trying to show:
-- The line 'a'--'b' is the line where a wall meets the floor.
-- The line to 'c' is a vertical line drawn on the wall.
-- The line to 'd' is a line drawn on the floor.
If you can see it like that, then there are two giveaways for the value of 'x':
One way:
'c' is perpendicular to the floor. That's the only way the angles
on the wall on each side of it ... 3x and 3x ... could be equal, and
they must be 90 degree angles, so 'x' is 30 degrees.
The other way:
The line on the floor, to 'd', is not perpendicular to the wall, because the angles
on the floor on each side of it are not equal. But the two of them do add up to
180 degrees, because the line 'a'--'b' is a straight line.
So 'x' is what's left over when 150 degrees is taken away from 180 degrees.
'x' is 30 degrees again.