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3 years ago

Find the distance between the two points (-4, -5) and (1, -2).

1 answer:

7 0

$using \: formula \\ \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } \\ \sqrt{(1 - ( - 4)) {}^{2} + ( - 2 - ( - 5)) {}^{2} } \\ = \sqrt{34}$
answer is B.

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Is -6.333 greater less equal to -6.375

Leviafan [203]

6.375 is greater than 6.333

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3 years ago

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Which option below is not a potential risk of purchasing a used car?

vlada-n [284]

Answer:

used cars can have a lower initial cost

Step-by-step explanation:

it is not a risk/hinder to purchasing a used car

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2 years ago

Four more than three times a number is thirteen. What is this number?

Ostrovityanka [42]

Answer:

Step-by-step explanation:

13-4=9

9/3=3

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The Gross Domestic of a country in the first quarter of 2014 was $1.3299×10×8.<br> GPD=$

krek1111 [17]

The GDP of the country for 2014 is $5.3196 × 10⁸.

<h3>What is multiplication?</h3>

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given the Gross Domestic of a country in the first quarter of 2014 was $1.3299×10⁸. Therefore, the GDP of the country for that year will be,

GDP = 4 × (Gross Domestic for a single quarter)

= 4 × ($1.3299×10⁸)

= $5.3196 × 10⁸

Hence, the GDP of the country for 2014 is $5.3196 × 10⁸.

Learn more about Multiplication:

brainly.com/question/14059007

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1 year ago

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>

5 0

3 years ago