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4 years ago

15

Can someone please help me

1 answer:

laila [671]4 years ago

5 0

Answer:

x, 4 y, 3, z2

Step-by-step explanation:

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11) How many kilograms of How many kilograms of calcium are there

Over [174]

Answer. A. 78.5 kg
Explanation. First, we must convert the lbs into grams, we can do this my multiplying 454 by 173 and get 78,500. Then convert it to kg, there are 1,000 g in a kg do divide 78,500 by 1,000 to get 78.5 kg. Let me know if it’s correct so others can use it. Brainliest would be appreciated.
Good luck :)

4 0

3 years ago

What is the equation of the parabola in vertex form with vertex (2,-4) and directrix y=-6

Pachacha [2.7K]

Answer:

$y=\dfrac{1}{8}(x-2)^2-4$

Step-by-step explanation:

The directrix y=-6 is parallel to the x axes, so parabola has equation of the form

$(x-x_0)^2=2px(y-y_0),$

where $(x_0,y_0)$ is the vertex of parabola and p is parabola's parameter.

By the definition, $\frac{p}{2}$ is the distance from the vertex to the directrix, so

$\dfrac{p}{2}=2\Rightarrow p=4$

Hence, the equation of parabola is

$(x-2)^2=8(y+4)$

See attached diagram for the graph of parabola and its directrix.

In vertex form this equation is

$y=\dfrac{1}{8}(x-2)^2-4$

8 0

4 years ago

Variable c is 9 less than variable w. Variable c is also 3 more than variable w. Which pair of equations best models the relatio

sveticcg [70]

B is the right anwser

6 0

3 years ago

Find the eighth term of the sequence 5,3,-1,-7,-15

Leni [432]

Hope this will help you 2(-15)-1=-31

4 0

3 years ago

nydimaria [60]

a. Recall the double angle identities:

$\sin^2x=\dfrac{1-\cos2x}2$

$\cos^2x=\dfrac{1+\cos2x}2$

Then

$\sin^2x\cos^2x=\dfrac{(1-\cos2x)(1+\cos2x)}4=\dfrac{1-\cos^22x}4$

Applying the identity again, we have

$\sin^2x\cos^2x=\dfrac{1-\frac{1+\cos4x}2}4=\dfrac{2-(1+\cos4x)}8=\dfrac{1-\cos4x}8$

as required.

b. Using the result from part (a),

$\sin^2x\cos^2x=\dfrac{1-\cos4x}8=\dfrac{2-\sqrt2}{16}$

$\implies\cos4x=\dfrac1{\sqrt2}$

$\implies4x=\dfrac\pi4+2n\pi\text{ or }4x=-\dfrac\pi4+2n\pi$

(where $n$ is any integer)

$\implies\boxed{x=\pm\dfrac\pi{16}+\dfrac{n\pi}2}$

8 0

4 years ago