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2 years ago

How many quarts are in 3 gallons

Mathematics

2 answers:

Bad White [126]2 years ago

8 0

Answer:

12 quarts or 14.4114

Step-by-step explanation:

Hope this helps :)

Aloiza [94]2 years ago

4 0

Answer:

Hello! Your answer here is 12. In one gallon, there are 4 quarts - this is a ratio of 1:4. We can multiply both sides by three to get the number of quarts in three gallons - 3:12. There are 12 quarts in three gallons.

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Given the statement "If a line is horizontal, then it has slope equal to zero,” what is its contrapositive? If a line is horizon

givi [52]

Contrapositive are the statements in which we switch the hypothesis and the conclusion of the statement and then we take the negation of both.

Here the hypothesis is " A line is horizontal"

And the conclusion is " slope equal to zero"

In order to make the contrapositive statement we switch the hypothesis and conclusion and then take negation.

Therefore, the contrapositive statement is given by

If a line does not have zero slope, then it is not a horizontal line.

Last option is correct.

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3 years ago

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The line $y = 3$ intersects the graph of $y = 4x^2 + x - 1$ at the points $A$ and $B$. The distance between $A$ and $B$ can be w

raketka [301]

Answer:

Step-by-step explanation:

Let's find the points $A$ and $B$ .

We know that the $y$ -coordinates of both are $3$ .

So let's first solve:

$3=4x^2+x-1$

Subtract 3 on both sides:

$0=4x^2+x-1-3$

Simplify:

$0=4x^2+x-4$

I'm going to use the quadratic formula, $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , to solve.

We must first compare to the quadratic equation, $ax^2+bx+c=0$ .

$a=4$

$b=1$

$c=-4$

$\frac{-1 \pm \sqrt{1^2-4(4)(-4)}}{2(4)}$

$\frac{-1 \pm \sqrt{1+64}}{8}$

$\frac{-1 \pm \sqrt{65}}{8}$

Since the distance between the points $A$ and $B$ is horizontal. We know this because they share the same $y-coordinate$ .This means we just need to find the positive difference between the $x$ -values we found for the points of $A$ and $B$ .

So that is, the distance between $A$ and $B$ is:

$\frac{-1+\sqrt{65}}{8}-\frac{-1-\sqrt{65}}{8}$

$\frac{-1+\sqrt{65}+1+\sqrt{65}}{8}$

$\frac{2\sqrt{65}}{8}$

$\frac{\sqrt{65}}{4}$

If we compare this to $\frac{\sqrt{m}}{n}$ , we should see that:

$m=65 \text{ and } n=4$ .

So $m-n=65-4=61$ .

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Lyrx [107]

5-7 = -2 and 1-6= -5 so the slope would be 2/5. you would set it up like this:

y=2/5x and then your y-intercept

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Answer:

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