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labwork [276]
2 years ago
7

What is the measure of angle A' B' C'?​

Mathematics
1 answer:
Tresset [83]2 years ago
7 0

Answer:

40

Step-by-step explanation:

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Find the quadratic function y=​f(x) whose graph has a vertex ​(−3​,4​) and passes through the point ​(−7​,0). Write the function
olganol [36]

Answer:

Step-by-step explanation:

This is a parabola since a quadratic is a parabola.  The standard form for a parabola is y = ax² + bx + c

but before we do that, we will use the vertex form, since it will make our work easier at the beginning.  

First and foremost, when we plot the vertex and the given point, the vertex is higher up than is the point; that means that this parabola opens upside down, and its vertex form will be

y=-|a|(x - h)² + k

The absolute value is out in front of the a, so we know that the value of a is positive, but the quadratic itself is negative (upside down) and we will find that math takes care of that negative that needs to be out front.  So we need to solve for a by filling in the x, y, h, and k values from the point and the vertex:  x = -7, y = 0, h = -3, k = 4

0 = a(-7 - (-3))² + 4 and

0 = a(-7 + 3)² + 4 and

0 = a(-4)² + 4 and

0 = a(16) + 4 and

0 = 16a + 4 and

-4 = 16a so

a=-\frac{1}{4}

Now that we know a, we can plug it back into the vertex form and then put it into standard form from there.

y=-\frac{1}{4}(x+3)^2+4

Now we will FOIL out what's inside the parenthesis to get

y=-\frac{1}{4}(x^2+6x+9)+4

Simplify by distributing the -1/4 into the parenthesis:

y=-\frac{1}{4}x^2-\frac{3}{2}x-\frac{9}{4}+4

Combine like terms to get

y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{7}{4}

And there you go!

5 0
3 years ago
Harry cycles 8 kilometres in 30 minutes.<br> Calculate his average speed, in km/h
Lerok [7]
8 km / 0.5 hr
= 16 km/h
4 0
2 years ago
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konstantin123 [22]

Answer:

I'm not 100% sure on this but I think it would be C- 8.1

Step-by-step explanation:

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3 years ago
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HI PPL ICE CREAM AND CANDY
ankoles [38]

Answer:

1/8 divded by 2/3= .... then u add ur answer to 1/8 and there u go

Step-by-step explanation:

Well u have 1/8 of a gallon of water and if u divide that over the 2/3 of the bins  will give u what it takes to fill the last bin then u add it to the the 1 over 8 gallon of water part.

ITs been a while but what I remember

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How did you get that as an answer ?
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