Which of the following is a point-slope equation for a line with the point(-2, 4) and a slope of 3?
O A. y-2-3(x-4)
B. y-4-3(x-2)
O C. y +2 = 3(x-4)
O D. y - 4 - 3(x+2)

Answers

Answer 1
Answer:

Hi there! :)

Answer:

Choice D. (y - 4) = 3(x + 2)

Step-by-step explanation:

An equation in point-slope form is:

(y - y1) = m(x - x1)

Where:

y1 = y-coordinate of a point

m = slope

x1 = x-coordinate of a point

In this instance, the point given is (-2, 4) with a slope of 3. Therefore, the equation in point-slope form would be Choice D. (y - 4) = 3(x + 2)

Answer 2
Answer:

Answer:

Step-by-step explanation:

answer is C

Because formula of equation of slop is

Y-y1=m(x-x1)


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What number is 6.1% of 60

Answers

6.1\%\cdot60=0.061\cdot60=3.66

Find the sum or difference. (3a – 3a^2) + (5 + 8a)A: a^2 + 11a + 5

B: –3a^2 + 11a + 5

C: 3a^2 + 11a + 5

D: –3a^2 + 11a – 5

Answers

Answer: B = –3a^2 + 11a + 5

For difference, the answer is

-3a^2 -5a -5

Step-by-step explanation:

(3a – 3a^2) + (5 + 8a)

To find the sum or difference, we will open the brackets.

To look for l the sum, we add

3a – 3a^2 + 5 + 8a

Collecting like terms,

= -3a^2 +8a + 3a +5

= -3a^2 + 11a + 5

Option B is the right answer.

To look for the difference, we subtract.

(3a – 3a^2) - (5 + 8a)

Opening the brackets

3a – 3a^2 - 5 - 8a

Collecting like terms

-3a^2 + 3a -8a -5

= -3a^2 -5a -5

The options available corresponds only to what we got for the sum, so

-3a^2 + 11a + 5 is the answer

Answer:  B. -3a^2 + 11a + 5

1.) Remove parentheses.

3a−3a​^2​​ +5+8a

2.) Collect Like Terms.

(3a+8a) - 3a^2+5

3.) Simplify.

11a - 3a^2+5

-3a^2 + 11a + 5

Verify
tanx + cotx = 1/ sinxcosx

Answers

\textit{Pythagorean Identities} \n\n sin^2(\theta)+cos^2(\theta)=1 \n\n[-0.35em] \rule{34em}{0.25pt}\n\n tan(x )+cot(x )~~ = ~~\cfrac{1}{sin(x )cos(x)} \n\n[-0.35em] ~\dotfill\n\n tan(x )+cot(x )\implies \cfrac{sin(x)}{cos(x)}+\cfrac{cos(x)}{sin(x)} \n\n\n \cfrac{sin^2(x)+cos^2(x)}{sin(x )cos(x)}\implies \cfrac{1}{sin(x )cos(x)}

Miguel ordered a party tray of sandwiches for a birthday party. during the party, the guests left of the sandwiches. the next day, miguel shared the leftover sandwiches with his family who ate of the remaining sandwiches. which fraction represents the portion of the entire tray miguel's family ate?

Answers

What are the numbers?

What value of x makes the equation true? PLZ HELP RIGHT THANK YOU

–7.12 = –4.8 + x



A.


–11.92


B.


–11.2


C.


–2.32


D.


2.32

Answers

so just remember tha tyou can do anything to an equation as long as you do it to both sides (except divide by 0) so
-7.12=-4.8+x
add 4.8 to both sides since -4.8+4.8=0 so it cancels
4.8-7.12=x
simplify
4.80-7.12=-2.32
-2.32=x
the naswer is C
-7.12 = -4.8 + x

-7.12 = x - 4.8

Add 4.8 on both sides

x = -7.12 + 4.8

x = -2.32

Your final answer is C. -2.32.

Find the product -4(3x-5)

Answers

Answer: -12x+20;x=-(5)/(3)

Step-by-step explanation:

-4(3x-5)\n-4(3x)-(-4)5\n-12x-(-20)\n-12x+20\n(-12x)/(-12)=(20)/(-12)\n  x=-(20)/(12) =-(5)/(3)