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3 years ago

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An airliner leaves an airport going due east, flying at 350 miles per hour. Another airplane leaves the same airport at the same

time going due west, flying at 400 miles per hour. How long will they be 2,250 miles apart? ( with explanation )

1 answer:

satela [25.4K]3 years ago

8 0

It would be at 3 hours

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Answer the following question below, Please type your final answer in parentheses Ex: (1,2) *

Damm [24]

What is the question? please add a photo or description.

4 0

3 years ago

Read 2 more answers

Anyone please help surds questions

ruslelena [56]

Answer:

$2\sqrt{21}$

Step-by-step explanation:

We can multiply the two irrational terms, getting $\sqrt{84}$ .

We see that 4 is a factor of 84, so we can rewrite $\sqrt{84}$ as $\sqrt{4 (21) }$ . We can take the 4 out, getting $2\sqrt{21}$ .

7 0

3 years ago

Equation of line passes through (2,4), (5,13)

Natalija [7]

Hey there! :)

To find the equation of a line that passes through (2, -4) & (5, 13), we must first find the slope.

To find the slope, we must use the slope equation, which is : m = (y₂-y₁) / (x₂-x₁)

So, let's plug everything in!

m = (y₂ - y₁) / (x₂ - x₁)

m = (13 - (-4)) / (5 - 2)

Simplify.

m = (13 + 4) / 3

Simplify.

m = 17/3

So, our slope is 17/3!

Now, let's find the equation of the line using slope-intercept form.

Remember that slope-intercept form is : y=mx+b where m=slope, b=y-intercept.

Since we already have the slope, all we need to do is find the y-intercept.

To find the y-intercept, let's plug all of our known variables into y-intercept form, using the points (2, 4) and the slope 17/3.

y = mx + b

(4) = (17/3)(2) + b

Simplify.

4 = 24/3 + b

Simplify.

4 = 8 + b

Subtract 8 from both sides.

4 - 8 = b

Simplify.

-4 = b

So, our y-intercept is b!

Using our known variables (slope, y-intercept), we can very easily plug it into a new slope-intercept equation!

y = mx + b

So, since our slope is 17/3 and our y-intercept is -4, let's plug and chug!

y = 17/3x - 4 → our final answer

~Hope I helped!~

3 0

3 years ago

Select all expressions that represent a correct solution to the equation 6(x+4)=20. copied for free from openupresources.Org Sel

baherus [9]

Option D: $20 \div 6-4$ is the correct solution to the equation $6(x+4)=20$

Option E: $\frac{1}{6} (20-24)$ is the correct solution to the equation $6(x+4)=20$

Option F: $(20-24) \div 6$ is the correct solution to the equation $6(x+4)=20$

Explanation:

The expression is $6(x+4)=20$

Let us find the value of x.

$\begin{aligned}6(x+4) &=20 \\6 x+24 &=20 \\6 x &=-4 \\x &=-\frac{2}{3}\end{aligned}$

Now, we shall find the expression that is equivalent to the value $x=-\frac{2}{3}$

Option A: $(20-4) \div 6$

Simplifying the expression, we have,

$\frac{16}{6}=\frac{8}{3}$

Since, $\frac{8}{3}$ is not equivalent to $x=-\frac{2}{3}$ , the expression $(20-4) \div 6$ is not equivalent to the equation $6(x+4)=20$

Hence, Option A is not the correct answer.

Option B: $16(20-4)$

Simplifying the expression, we have,

$16(16)=256$

Since, 256 is not equivalent to $x=-\frac{2}{3}$ , the expression $16(20-4)$ is not equivalent to the equation $6(x+4)=20$

Hence, Option B is not the correct answer.

Option C: $20-6-4$

Simplifying the expression, we have,

$20-10=10$

Since, 10 is not equivalent to $x=-\frac{2}{3}$ , the expression $20-6-4$ is not equivalent to the equation $6(x+4)=20$

Hence, Option C is not the correct answer.

Option D: $20 \div 6-4$

Using PEMDAS and simplifying the expression, we have,

$\begin{aligned}(20 \div 6)-4 &=\frac{10}{3}-4 \\ &=\frac{10-12}{3} \\ &=-\frac{2}{3} \end{aligned}$

Thus, $-\frac{2}{3}$ is equivalent to $x=-\frac{2}{3}$ , the expression $20 \div 6-4$ is equivalent to the equation $6(x+4)=20$

Hence, Option D is the correct answer.

Option E: $\frac{1}{6} (20-24)$

Simplifying the expression, we have,

$\begin{aligned} \frac{1}{6}(20-24) &=\frac{1}{6}(-4) \\ &=-\frac{4}{6} \\ &=-\frac{2}{3} \end{aligned}$

Thus, $-\frac{2}{3}$ is equivalent to $x=-\frac{2}{3}$ , the expression $\frac{1}{6} (20-24)$ is equivalent to the equation $6(x+4)=20$

Hence, Option E is the correct answer.

Option F: $(20-24) \div 6$

Simplifying the expression, we have,

$\begin{aligned}(20-24) \div 6 &=-\frac{4}{6} \\ &=-\frac{2}{3} \end{aligned}$

Thus, $-\frac{2}{3}$ is equivalent to $x=-\frac{2}{3}$ , the expression $(20-24) \div 6$ is equivalent to the equation $6(x+4)=20$

Hence, Option F is the correct answer.

6 0

3 years ago

What is a intersection

Archy [21]

Answer:

Intersection means a line common to other lines and an action of intersection/intersecting.

hope it helps!

7 0

3 years ago