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3 years ago

How can you write an equation for a line from one point and the slope?

Mathematics

1 answer:

Andrew [12]3 years ago

5 0

Answer y=mx+b

Step-by-step explanation: b is the y intercept and x is the slope

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The quotient of 2 and the sum of a number and 1

siniylev [52]

Answer:

2/(x + 1)

Step-by-step explanation:

4 0

2 years ago

A person is supposed to drink half a gallon of water every day.abby drank 15 small cups today if the capacity of the cup is 3.5

Yuki888 [10]

He needs to drink 3 cups MORE to meet his daily requirement.

Step-by-step explanation:

Here, as given in the question:

The total need for water = half a gallon = 0.5 gallon

1 gallon = 128 oz

So, 0.5 gallon = 128/2 = 64 oz

Now, the capacity of 1 cup = 3.5 oz

The number of cups already drank by the person = 15 cups

So, the total amount of water already taken by him

= 15 cups x Capacity of 1 cup

= 15 x (3.5 oz) = 52.5 oz

So, the amount of water left to be drink by him

= Total Need - Already covered

= 64 oz - 52 . 5 oz = 11.5 oz

Now, as 1 cup = 3.5 oz

So, 11.5 oz has $( \frac{11.5}{3.5} )$ cups = 3.28 cup≈ 3 cups

Hence, he needs to drink 3 cups MORE to meet his daily requirement.

6 0

3 years ago

Helppppppppppppooppppoopp

Lyrx [107]

Answer:

Let x rep the lenght of the shorter one

Then the longer one is 2x+1

Therefore

(2x+1) + x = 16

We now solve for x

2x + 1 + x = 16

Group and evaluate like terms

3x +1 = 16

3x = 16 -1

× = 15/3

x = 5

So the shorter one is 5 ft

The longer one is 2(5)+1= 11

4 0

3 years ago

We use the formula V = πr2h to find the volume of a cylinder. Make h the subject of the formula.

Gennadij [26K]

Answer:

V / ( pi r^2) = h

Step-by-step explanation:

V = pi r^2 h

Divide each side by pi r^2

V / ( pi r^2) = pi r^2 h / pi r^2

V / ( pi r^2) = h

7 0

2 years ago

Rewrite (2x^2+13x+26) / x+4 in the form q(x)+r(x)/b(x) . Then find q(x) and r(x). In the rewritten expression, q(x) is_____and r

likoan [24]

The value of q(x) is $2 x+5$

The value of r(x) is $6$

Explanation:

The given expression is $\frac{2 x^{2}+13 x+26}{x+4}$

We need to rewrite the expression in the form of $q(x)+\frac{r(x)}{b(x)}$

Simplifying the expression, we get,

$\frac{2 x^{2}+8 x+5x+26}{x+4}$

Separating the fractions, we have,

$\frac{2 x^{2}+8 x}{x+4}+\frac{5 x+26}{x+4}$

$2 x+\frac{5 x+26}{x+4}$ -----------(1)

Now, we shall further simplify the term $\frac{5 x+26}{x+4}$ , we get,

$\frac{5 x+26}{x+4}=\frac{5 x+20}{x+4}+\frac{6}{x+4}$

Common out 5 from the numerator, we have,

$\frac{5 x+26}{x+4}=5+\frac{6}{x+4}$

Substituting the value $\frac{5 x+26}{x+4}=5+\frac{6}{x+4}$ in the equation(1), we get,

$2 x+5+\frac{6}{x+1}$

Thus, the expression $\frac{2 x^{2}+13 x+26}{x+4}=2 x+5+\frac{6}{x+1}$ is in the form of $q(x)+\frac{r(x)}{b(x)}$

Hence, we have,

$q(x)=2 x+5$

$r(x)=6$ and

$b(x)=x+4$

5 0

3 years ago