Answer:
ohhhhhhhhhhhhhhhhhhhhhhhhh
292in^3
3x6x10=180 because I’ve split the shape in half
7x4x4=112
180+112=292
Answer:
B. No. The product of two fractions is the product of the numerators divided by the product of the denominators.
Step-by-step explanation:
For A: A is clearly false because you can multiply any fraction and it doesnt matter what the denominator is.
For B: The first part is correct, which is that to multiply two fractions, they dont have to have like/common denominators, the explanation part is also correct. When we multiply we multiply the numerator to the numerator and the denominator to the denominator.
For C: C is false because the first part says yes and we know that you can multiply any 2 fractions regardless of denominators.
For D: For D the first part is correct however, the explanation section is false you dont multiply the numerator to the denominator.
For E: You don't have to find the equivalent fraction to multiply because you can do that afterward.
I hope this helps, have a blessed day! :D
Answer:
yes
Step-by-step explanation:
The line intersects each parabola in one point, so is tangent to both.
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For the first parabola, the point of intersection is ...
y^2 = 4(-y-1)
y^2 +4y +4 = 0
(y+2)^2 = 0
y = -2 . . . . . . . . one solution only
x = -(-2)-1 = 1
The point of intersection is (1, -2).
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For the second parabola, the equation is the same, but with x and y interchanged:
x^2 = 4(-x-1)
(x +2)^2 = 0
x = -2, y = 1 . . . . . one point of intersection only
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If the line is not parallel to the axis of symmetry, it is tangent if there is only one point of intersection. Here the line x+y+1=0 is tangent to both y^2=4x and x^2=4y.
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Another way to consider this is to look at the two parabolas as mirror images of each other across the line y=x. The given line is perpendicular to that line of reflection, so if it is tangent to one parabola, it is tangent to both.
Answer:
16/45; 4/45; 1125
Step-by-step explanation:
Since you know that 4/9 and 1/5 are used, make them common denominators. So 4/9 would turn into 20/45 and 1/5 would be 9/45. It results in 29/45, but that is the amount spent, so you would subtract 45-29/45, resulting in 16/45. For B, you know that she spent 3/4 of the savings, so you know that 1/4 is not being spent. So use 1/4 multiplied by 16/45 from part A to get 4/45. For C, you know that 4/45 is $100, so I multiplied 45x100 to get 4500 and then divided by 4 to get 4500/4.