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3 years ago

Escribe el número igaul a 5 decenas y 13 unidades

Mathematics

1 answer:

coldgirl [10]3 years ago

8 0

Answer:

Step-by-step explanation:

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The graph of a quadratic function has a vertex at (5,3) and goes through the point (-1,-9). What is the equation of the function

kotegsom [21]

Answer:

$y=-\frac{1}{3} (x-5)^2+3$

Step-by-step explanation:

We are given the following;

Vertex of a quadratic function = (5,3)
A point where the function passes through (-1, -9)

Required to determine the equation of the function;

We need to know the vertex form of a quadratic function is;

$y=a(x-h)^2+k$ , where h and k correspond to the vertex (h,k)

Therefore, we can replace the variables h and k of the vertex in the equation;

That is;

$y=a(x-5)^2+3$

Then we use the equation and the point given to solve for a

x = -1 and y = -9

We get;

$-9=a(-1-5)^2+3\\-9 = a(36) + 3\\-9 - 3 = 36a\\-12 =36a \\a=-\frac{1}{3}$

Substituting the values of a, h and k in the equation, we get;

$y=-\frac{1}{3} (x-5)^2+3$

Thus, the equation of the function in the vertex form is $y=-\frac{1}{3} (x-5)^2+3$

8 0

3 years ago

Sin 420° = Your answer: A.sin 30° B.sin 60° C.sin 90° D.sin 20°

alex41 [277]

Answer: B

Step-by-step explanation:

360 is a full circle. 420-360= 60

3 0

3 years ago

Juan has c cheesecakes. Clarence has 5 less than 3 times as many cheesecakes as Juan has and Darlene has 2 more than half as man

Setler [38]

C= Clarence, J= Juan, and D= Darlene
C= 3J-5
D= C/2+2
J= c

5 0

3 years ago

Read 2 more answers

5) Krystal bought three avocados for $4.

Delicious77 [7]

Answer:

5. beth can buy 49 avocados. 592 divided by 3 = 197 divided by 4 = 49

6. the painting will be 23 inches tall. 27 - 9 = 18 so 5 + 18 = 23

7. the photo will be 18 inches tall. 13 - 1 = 12 so 6 + 12 = 18

8. i think it's $273.08 . 37 divided by 10 = 3.7 x 74 = 273.8

5 0

3 years ago

Use a half-angle identity to find the exact value of tan 22.5°.

dusya [7]

Answer:

$\sqrt{2} -1$

Step-by-step explanation:

22.5 degrees is half of 45 degrees (special angle for which we know exactly the value of all three basic trigonometric functions (sine, cosine, and tangent).

So we start recalling the formula for tangent of a half angle: $tan(\frac{\alpha }{2} )= \frac{1-cos(\alpha) }{sin(\alpha) }$

We need just the values of:

$sin(\alpha )=sin(45^o)=\frac{\sqrt{2} }{2}$

and of

$cos(\alpha )=cos(45^o)=\frac{\sqrt{2} }{2}$

to answer the question. Then, we use those values in the original formula for tangent of a half angle:

$tan(\frac{\alpha }{2} )= \frac{1-cos(\alpha) }{sin(\alpha) }\\tan(22.5^o)=\frac{1-\frac{\sqrt{2} }{2} }{\frac{\sqrt{2} }{2}} =\frac{2-\sqrt{2} }{\sqrt{2} } =\frac{2\sqrt{2}-2 }{2} =\sqrt{2} -1$

3 0

3 years ago

Read 2 more answers

Escribe el número igaul a 5 decenas y 13 unidades​

Escribe el número igaul a 5 decenas y 13 unidades