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3 years ago

9

77/99 as a fraction or mixed number in simplest form

1 answer:

11111nata11111 [884]3 years ago

8 0

If you divide both by 11, you get 7/9. 7/9 is the fraction in simplest form.

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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:

61

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

5 0

3 years ago

Read 2 more answers

Write the population of lubbok in word form

Shtirlitz [24]

1651384 also known as "one million, six hundred fifty one thousand, three hundred eighty four"

6 0

3 years ago

Given f (x) = 2 x + 9<br> f (x) = 15<br> x=

Elina [12.6K]

Answer:

3

Step-by-step explanation:

15 minus 9 equals 6. 6 divided by 2 equals 3.

6 0

3 years ago

9) State the coordinates of the endpoints of a<br> line segment that intersects the y-axis.

eduard

Answer:

(5,4) and (3,4)

Step-by-step explanation:

A line segment has 2 end points which can be denoted as:

$(x_1,y_1)$ and $(x_2,y_2)$

When this line segment intersects at y.

This means that the coordinate on the y axis is the same at both end points

i.e.

$y_1 = y_2 = y$

$(x_1,y_1)$ and $(x_2,y_2)$ becomes $(x_1,y)$ and $(x_2,y)$

x1 and x2 can be any value but the y value must remain unchanged

Using the above analysis, a possible coordinate is:

$(5,4)$ and $(3,4)$

Note that there are as many answers as possible as long as the coordinate pair satisfy is of the form $(x_1,y)$ <em> and </em> $(x_2,y)$ <em />

Take for instance, another possible pair is:

$(1,-3)$ and $(0,-3)$

7 0

3 years ago

Does this equation represent a function?<br> Answer Yes

snow_lady [41]

Answer:

yes

Step-by-step explanation:

ur welcome

brainliest pls

xd

7 0

3 years ago