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2 years ago

The distance AB rounded to the

Mathematics

1 answer:

Serggg [28]2 years ago

4 0

Answer:

first of all, the formula given is wrong

it is,

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2)}$

so,

let's say

$(x_2,y_2)=(-1,1) \\(x_1,y_1)=(3,1)$

you can choose arbitrarily, answer will be the same

$= \sqrt{(-1-3)^2+(1-1)^2)}\\=\sqrt{4^2+0}\\=4$

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How do I determine the intercepts of the line

patriot [66]

If my explanation doesn't make sense, there are some pretty good utube videos about it.

Here is our equation: 3x + 2y = 5

At the y-intercept (the point where the line meets y on a graph), x=0. The same can be applied to the x-intercept, as y=0. So, to find each intercept, we can treat 3x + 2y = 5, as we would with any other equation.

First, we will find the y-intercept. We know x=0, so that can be plugged in: 3(0) + 2y = 5

Anything times 0 is 0.

2y = 5

Divide both sides by 2 to isolate y:

y = 5/2 (or 2.5)

The y intercept is 5/2 (or 2.5).

Now, do the same for x, given that y=0: 3x + 2(0) = 5

Anything times 0 is 0.

3x = 5

Divide both sides by 3 to isolate x:

x = 5/3 (or 1.7

The x intercepts is 5/3 (or 1.7)

(You should probably use the fractional versions of the answers, but it depends on your teacher, I suppose)

Let me know if you have any questions about this! :)

8 0

3 years ago

Please help !!!! The leg of a right triangle is 2 units and the hypotenuse is 5 units. What is the length, in units, of the othe

gayaneshka [121]

Answer:

$\sqrt{21}$

Step-by-step explanation:

Use the pythagorean theoreom, a^2+b^2=c^2.

We know the hypontenuse and one of the sdes

a^2+2^2=5^2

a^2+4=25

subract four from both sides to isolate variable

a^2=21

square root both sides and you have the answer of sq root 21!

Edit: the answer for your next question is the last one b/c it satisfies the Pythagorean Theorem

4 0

2 years ago

Fujiyama is planning a trip to the movies with his family.HE does not want to spend more than $80.He is buying 4 tickets for $15

Basile [38]

He can afford 3 buckets of popcorn

7 0

3 years ago

Read 2 more answers

A jar contains 50 jelly beans: 5 lemon,10 watermelon, 15 blueberry, and 20 grape.Suppose that two jelly beans are randomly selec

vladimir2022 [97]

$|\Omega|=50\cdot49=2450\\|A|=15\cdot14=210\\\\P(A)=\dfrac{210}{2450}=\dfrac{3}{35}\approx8.6\%$

8 0

3 years ago

16. Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.

il63 [147K]

Answer:

Given equation are:

$y = -\frac{1}{4}x+8$ ......[1]

$-2x+8y = 4$ .....[2]

The two lines are parallel lines then their slopes will be equal.

When two lines are perpendicular then, the slope of lines are the negative reciprocals of each other.

Now, Equation of a line is in the form of y =mx+b where m is the slope of the line.

Slope $(m_1)$ of equation of line in [1] is;

$y = -\frac{1}{4}x+8$

then;

$m_1= -\frac{1}{4}$

Slope $(m_2)$ of equation of line in [2];

$-2x+8y = 4$

Add both sides 2x we get;

-2x + 8y + 2x = 2x + 4

Simplify:

8y = 2x +4

Divide both sides by 8 we get;

$y = \frac{1}{4} x + \frac{1}{2}$

then;

$m_2 = \frac{1}{4}$

Therefore, the given two lines are neither parallel nor perpendicular.

4 0

3 years ago