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3 years ago

Find the equation of a line that passes through the points (1,2) and (5,6). Leave your answer in the form y=mx+c

Mathematics

1 answer:

Ainat [17]3 years ago

5 0

Answer:

y=x+1

Step-by-step explanation:

first find the slope using the two coordinates:

use the slope formula- m=y^2-y^1/x^2-x^1

6-2/5-1

=4/4

y=mx+b

now plug in one of the coordinates, and the slope we just found into the slope intercept formula

2=1(1)+b

2=1+b

subtract 1 from both sides

1=b

1=b; m=1,

y=x+1

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Which of the following are solutions to the equation below?

Zarrin [17]

Answer:

D, E

Step-by-step explanation:

(4x - 1) ^2 = 11 => (take square roots of both sides)

4x - 1 = +\- sqrt(11) => (Add 1 to both sides)

4x - 1 + 1 = 1 +\-sqrt(11) =>

4x + 0 = 1 +\- sqrt(11) => (Divide both sides by 4)

x = ( 1 +\- sqrt(11) ) /4

Which are choices D and E

7 0

2 years ago

Jan walked 3 ½ miles in ¾ hours.<br> what is the unit rate?

dusya [7]

Answer:

33/4 = 8-1/4 miles/ hour.

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Brianna is playing a video game and loses 3.5 lives. Later she gains 6 more lives. What is the overall change in Brianna's total

fredd [130]

It depends how much she begins with but if she doesn’t begin with any then it’d be 2.5

5 0

2 years ago

Read 2 more answers

Factorize x^2/16+xy+4y^2

lisov135 [29]

Answer:

$\frac{x^2}{16} +xy+4y^2$ can be factored out as: $(\frac{x}{4} +2\,y)^2$

Step-by-step explanation:

Recall the formula for the perfect square of a binomial :

$(a+b)^2=a^2+2ab+b^2$

Now, let's try to identify the values of $a$ and $b$ in the given trinomial.

Notice that the first term and the last term are perfect squares:

$\frac{x^2}{16} = (\frac{x}{4} )^2\\4y^2=(2y)^2$

so, we can investigate what the middle term would be considering our $a=\frac{x}{4}$ , and $b=2y$ :

$2\,a\,b=2\,(\frac{x}{4}) \,(2\,y)=x\,y$

Therefore, the calculated middle term agrees with the given middle term, so we can conclude that this trinomial is the perfect square of the binomial:

$(\frac{x}{4} +2\,y)^2$

4 0

2 years ago

(NO FILES OR LINKS OR RANDOM WORDS)

ehidna [41]

Answer:

Randomly selecting a six of diamonds - 1 / 52

Randomly selecting a 7, 8, 9 or 10 - 4 / 13

Step-by-step explanation:

There is only 1 six of diamonds in a standard deck of cards. There are 52 cards in a deck, thus the probability of pulling a six of diamonds is 1 in 52.

There are 4 of each card in a deck. so they are 4 7's, 4 8's. 4 9's and 4 10's. And there are a total of 52 cards in a deck. So the probability of pulling a 7,8,9 or 10 are 4 + 4 + 4 + 4 in 52

4 + 4 + 4 + 4 = 16

16 / 52 simplified is 4 / 13 Therefore the is a 4 in 13 chance of pulling a 7 8 9 or 10

The other ones are correct

3 0

2 years ago