Answer:
y^2+xy+x+3y+2
Step-by-step explanation:
first of all we have to multiplies the y in the second bracket for all numbers in the first bracket.
so we have:
xy+y^2+2y
now we have to do the same with 1
x+y+2
now we have to unite the two solutions
xy+y^2+2y+x+y+2
at least we have to added up the similar terms (that have the same literal part)
y^2+xy+x+3y+2
<span>Equation:
0.15x + 0.10(5-x) = 0.11*5
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Multiply thru by 100:
15x + 10*5 - 10x = 11*5
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5x = 5
x = 1 liter (amt. 15% oj needed)
----
5-x = 4 liters (amt of 10% oj needed)
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Answer:
The greatest common factor is 1
Step-by-step explanation:
The factors of 4 are: 1, 2, 4
The factors of 6 are: 1, 2, 3, 6
The factors of 45 are: 1, 3, 5, 9, 15, 45
Then the greatest common factor is 1.
Answer:
Area of triangle ABC=7 square units
Area of triangle A'B'C'=7 square units
Step-by-step explanation:
Triangle ABC is the preimage of triangle A'B'C' under a reflection in the line x=0.
The two triangles are congruent so they have the same area.
We can calculate the area by counting the unit squares the triangle covered.
Each full box is 1 units square.
Each triangle covered
1 full box and 12 partially covered boxes.
Each partial box covered is 0.5 square units.
Therefore the area is
square units
Answer:
a) For this case we can use the fact that 
And for this case since we ar einterested on 
and we know that the if we are below the y axis the sine would be negative then:
b) From definition we can use the fact that 
and we got this:
We can use the notabl angle 
and we know that :
Then we know that 
correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:
Step-by-step explanation:
For this case we can use the notable angls given on the picture attached.
Part a
For this case we can use the fact that
And for this case since we ar einterested on and we know that the if we are below the y axis the sine would be negative then:
Part b
From definition we can use the fact that and we got this:
We can use the notabl angle and we know that :
Then we know that correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:
