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3 years ago

Write the equation of the line that has a slope of 2 and passes through the point (-3,4).

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

4 0

Answer:

y = 2x + 10

Step-by-step explanation:

We are given the slope of the line and the coordinates of one point on the line. Thus, we use the point-slope formula y - k = m(x - h). Here m = 2, h = -3 and k = 4. Therefore we have:

y - 4 = 2(x + 3)

which can be rewritten as y = 2x + 6 + 4, or y = 2x + 10 (Answer D)

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The GCD(a, b) = 9, the LCM(a, b)=378. Find the least possible value of a+b.

denis-greek [22]

$\mathrm{gcd}(a,b)=9\implies9\mid a\text{ and }9\mid b\implies9\mid a+b$

which means there is some integer $k$ for which $a+b=9k$ .

Because $9\mid a$ and $9\mid b$ , there are integers $n_1,n_2$ such that $a=9n_1$ and $b=9n_2$ , and

$\mathrm{lcm}(a,b)=\mathrm{lcm}(9n_1,9n_2)=9\mathrm{lcm}(n_1,n_2)=378\implies\mathrm{lcm}(n_1,n_2)=42$

We have $42=2\cdot3\cdot7$ , which means there are four possible choices of $n_1,n_2$ :

1, 42
2, 21
3, 14
6, 7

which is to say there are also four corresponding choices for $a,b$ :

9, 378
18, 189
27, 126
54, 63

whose sums are:

387
207
153
117

So the least possible value of $a+b$ is 117.

6 0

3 years ago

Yuri has 2/7 of a bag of carrots if she eats half of the carrots what fractions of the bag of carrots will she have left

Alekssandra [29.7K]

14/100 is half of 2/7.

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3 years ago

THE TRUE STATEMENTS ARE________ , _________ and _________ .<br> please help I really need help

Lera25 [3.4K]

Answer:

a,b,e

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

kati45 [8]

Answer:

D) 11.

Step-by-step explanation:

y = 5x + p and the point (-2, 1) is on the line, so substituting for (-2, 1):

1 = 5(-2) + p

p = 1 - 5(-2)

p = 1 + 10

p = 11.

8 0

3 years ago

Find the new price for the markup given. Round to the nearest cent if necessary. $3.00 marked up 72%

Marrrta [24]

Answer:

$5.16

Explanation:

Okay, so the first step is to move the decimal point of the 72% over to the left twice. Since it is a whole number, the decimal is at the back. So, the number went from 72 to .72.

After that, multiply 3.00 by .72 Like this:

3.00 * .72 = 2.16

The last step is to add the original number to that number. Like this:

3.00 + 2.16 = 5.16

Hope this helps !

6 0

3 years ago