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3 years ago

Distance between the point (-2, 4) and (10, -1)?

Mathematics

2 answers:

mafiozo [28]3 years ago

7 0

Answer:

Step-by-step explanation:

zlopas [31]3 years ago

4 0

Answer:

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

d=√((x_2-x_1)²+(y_2-y_1)²)

√((10)-(-2))^2+(-1)-(4)^2)

√(144+25)

√(169)

You might be interested in

Find the sum or difference 5/6 + 4/9

Naily [24]

The closest option to the actual answer is a.

1 5/18 is the actual answer.

If you make both the denominators the same, then you can actually add the fractions together.

To make both of the denominators the same, you need to multiply 5/6 by 9 and 4/9 by 6, which would result in 45/54 + 24/54= 69/54 = 23/18. If we convert it to a mixed fraction, it would result into 1 5/18.

6 0

3 years ago

First, rewrite 9/10 and 23/25 so that they have a common denominator.

MAVERICK [17]

The cheap answer is, well, all we do is, grab the denominator of one and multiply the other by it, top and bottom, and grab the denominator of the other, and multiply the first one by that one too, that way, both will have the same denominator, and then you can simply check the numerator to see who's larger, let's do so.

$\bf \cfrac{9}{\boxed{10}}\qquad \qquad \cfrac{23}{\boxed{25}}
\\\\\\
\cfrac{9\cdot \boxed{25}}{10\cdot \boxed{25}}\implies \cfrac{225}{250}\qquad \qquad \qquad \cfrac{23\boxed{10}}{25\cdot \boxed{10}}\implies \cfrac{230}{250}\\\\
-------------------------------\\\\
\textit{so, which is larger then?}\qquad \cfrac{225}{250}~or~\cfrac{230}{250}?$

surely you can tell.

3 0

3 years ago

Read 2 more answers

Find the roots of h(t) = (139kt)^2 − 69t + 80

Sonbull [250]

Answer:

The positive value of $k$ will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let $h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80$ , roots are those values of $t$ so that $h(t) = 0$ . That is:

$19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0$ (1)

Roots are determined analytically by the Quadratic Formula:

$t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}$

$t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$

The smaller root is $t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$ , and the larger root is $t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$ .

$h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80$ has one real root when $\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0$ . Then, we solve the discriminant for $k$ :

$\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}$

$k \approx \pm 0.028$

The positive value of $k$ will result in exactly one real root is approximately 0.028.

7 0

2 years ago

Mai received a $70 gift card for a coffee store. She used it in buying coffee that cost $8.48 per pound. After buying the coffee

Yuri [45]

Since she had $35.48 on her card.

Amount spent in buying coffee = $70 - $35.48 = $34.52

Cost of coffee = $8.63 per pound

No of pounds = Amount spent / cost per pound

= 34.52 / 8.63 Use your calculator.

= 4

4 0

3 years ago

Read 2 more answers

Jin tried to evaluate 5 + 2 x 9 step-by-step.

Zigmanuir [339]

Answer:

5 + 2 x 9

Step 1 = 7 x 9

Step 2 = 63

Step-by-step explanation:

= 5 + 2 x 9

= 5 + ( 2 x 9 )

= 5 + 18

= 23

Step 2 = 7 x 9

= 63

Step 3 = 63

C. jin did not make a mistake

Sorry i'm wrong :)

4 0

3 years ago