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3 years ago

Explain why 4/10 and 40/100 have unlike denominators but are equivalent fractions

1 answer:

5 0

4/10 and 4/100 are the same because all you had to do was multiply both the numerator and denominator by 10. It is still the same amount. Hope this helps!

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What is the equation in vertex form of the quadratic function with a vertex at (-1, -4) that goes through (1, 8)?

cestrela7 [59]

Answer:

y = 3(x+1)^2 - 4

Step-by-step explanation:The general form of the equation of a quadratic function whose vertex is (h,k) and whose leading coefficient is a is:

y - k = a(x-h)^2, or

y = a(x-h)^2 - k

Substituting the coefficients of the vertex (-1, -4), we get:

y = a(x + 1)^2 - 4

Substituting the coordinates of the given point, (1,8), we get:

8 = a(1+1)^2 - 4, which simplifies to:

8 = a(2)^2 - 4, or

8 = 4a - 4. Then 4a = 12, and a = 3.

Thus, the desired equation is y = 3(x+1)^2 - 4 (answer j).

5 0

3 years ago

How do you find the tenth term in this sequence

slava [35]

Answer:

should be none of the about because each time you multiple by 1/2, i got 1/64 for the 10th

Step-by-step explanation:

7 0

3 years ago

What's the answer and show your work by using the funnel method

Paraphin [41]

Answer: i got 44 for the answer

5 0

2 years ago

Last season Ellen and Janet together won 32 tennis matches Ellen won 6 more than then Janet How many more matches did Ellen win

joja [24]

T = J + E

T = J + (J + 6)

T = 32

32 = 13 + (13 + 6)

32 = 13 + 19

32 = 32

Ellen won 19 matches.

8 0

3 years ago

Read 2 more answers

What are the vertex focus and directrix of a parabola with equation x=y^2+14y-2

zimovet [89]

This is a sideways opening parabola, opening to the right to be more specific, since the leading coefficient is a positive 1. The rule for a focus and a directrix is that they are the same number of units from the vertex (in other words, the vertex is dead center between them), and that the vertex is on the same axis that the focus is. We need to find the vertex then to determine what the focus and the directrix are. We will complete the square on that to find the vertex. Begin by setting it equal to 0, then move the 2 over by addition to get $y^2+14y=2$ . Now we will complete the square on the y terms. Take half the linear term, square it, and add it to both sides. Our linear term is 14. Half of 14 is 7, and 7 squared is 49. So we add 49 to both sides. $y^2+14y+49=2+49$ , which of course simplifies to $y^2+14y+49=51$ . The purpose of this is to find the k coodinate of the vertex which will be revealed when we write the perfect square binomial we created during this process: $(y+7)^2=51$ . Moving the 51 back over by subtraction gives us $(y+7)^2-51=x$ . The vertex then is (-51,-7). The formula to find the focus using this vertex is $(h+ \frac{1}{4a},k)$ . As I stated quite a while ago, the leading coefficient on our parabola was a +1 so our "a" value is 1, and the focus is then found in $(-51+ \frac{1}{4},-7)$ which simplifies to $(-50.75, -7)$ . If the vertex is (-51, -7) and the focus is (-50.75, -7), then the distance between them is 1/4, or .25. That means that the directrix is also .25 units from the vertex, but in the other direction. Our directrix is a vertical line, and it will have the equaion x = -51.25. Summing up, your focus is (-50.75, -7) and your directrix is x = -51.25

7 0

4 years ago