Answer:
60% increase
Step-by-step explanation:
Work out the difference increase between the two numbers you are comparing.Then you increase the new number by the original number. Next you divide the increase by the original number and multiply the answer by 100. Finally divide the increase number and the original number then multiply by 100. That will give you your answer.
Y = x^2 + 2x - 1 = x^2 + 2x + 1 - 1 - 1 = (x + 1)^2 - 2
The vertex of a parabola given by y = a(x - h)^2 + k is (h, k).
Therefore, the vertex of y = (x + 1)^2 - 2 is (-1, -2)
Lateral area of triangular prism = (a+b+c)h where a, b and c are the sides of the triangular base, h is the height.
LA= (a+b+c)h=
a=4
b=6
c=?
c=9
h=8
c=√6²+4²=√80 or approximately 9
you should get An Area= (4+6+√80)8
LA= 80+8√80
Step-by-step explanation:
The sum of all angles in a triangle is always 180.
So we can set up an equation
3/2x+1/2x+x= 180
3/2+1/2x+2/2x=180
3x+1x+2x=360
6x=360
x=60
Answer:
14 pounds
Step-by-step explanation:
The given equations can be solved for y by substituting for x. The first equation is convenient for writing x in terms of y.
<h3>Solution</h3>
x = 20 -y . . . . . . . subtract y from the first equation
7(20 -y) +5.5y = 119 . . . . . substitute for x in the second equation
140 -1.5y = 119 . . . . . . . . simplify
21 = 1.5y . . . . . . . . . . . add 1.5y -119 to both sides
14 = y . . . . . . . . . . . .divide by 1.5
14 pounds of soy nuts should be used in the mixture.
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<em>Additional comment</em>
There are many ways to solve a system of two linear equations. The attachments shows a matrix solution using a suitable calculator. It tells us that x=6 and y=14, as we found above.