3 years ago

2x + 7 + (3 - y) = -4 + 6i

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

5 0

Answer:

2.50 is the answer i hope its right i doubled checked it with my algebra teacher

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Kelly wants to cut her birthday cake into 20 equal pieces. If she uses all of the cake, what is the correct angle she needs to c

klasskru [66]

Answer: Well if i am correct she would be cutting acute angles.

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3 years ago

Solve for m: 18d − 2m + 9k < 5k + 10

snow_tiger [21]

$18d-2m+9k$ < $5k+10$

$18d-2m$ < $-4k +10$

$-2m$ < $-4k +10 -18d$

$m$ > $\frac{-4k+10-18d}{-2}$ (flipped the sign because we're dividing by a negative)

$m$ > $2k+5+9d$

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3 years ago

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Explain how to find the vertex of 2x^2+12x+16

Elina [12.6K]

The vertex form:

$y=a(x-h)^2+k\\\\(h,\ k)-vertex$

Use $(a+b)^2=a^2+2ab+b^2\qquad(*)$

$2x^2+12x+16=2(x^2+6x)+16=2(x^2+2(x)(3))+16\\\\=2(\underbrace{x^2+2(x)(3)+3^2}_{(*)}-3^2)+16=2((x+3)^2-9)+16\\\\=2(x+3)^2+(2)(-9)+16=2(x+3)^2-18+16\\\\=\boxed{2(x-(-3))^2-2}\to h=-3,\ k=-2$

<h3>Answer: (-3, -2).</h3>

Other method:

$f(x)=ax^2+bx+c\\\\vertex:(h,\ k)\\\\h=\dfrac{-b}{2a},\ k=f(h)$

We have

$f(x)=2x^2+12x+16\\\\a=2,\ b=12,\ c=16$

Substitute:

$h=\dfrac{-12}{(2)(2)}=\dfrac{-12}{4}=-3\\\\k=f(-3)=2(-3)^2+12(-3)+16=2(9)-36+16=18-36+16=-2$

<h3>Answer: (-3, -2).</h3>

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4 years ago

Rewrite the following sentence as an equation.

SVEN [57.7K]

Answer:

3(2+x)=0

Step-by-step explanation:

<u>Here are some vocab words:</u>

Product: Multiplication

Sum: Addition

"A number": x

3(2+x)=0

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3 years ago

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BlackZzzverrR [31]

Answer:

9. A. One - to - One Correspondence

10. D. None of the above

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3 years ago

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