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3 years ago

Find the distance between (-1,-2) and (8,9)

Mathematics

2 answers:

Rom4ik [11]3 years ago

7 0

Answer:

$\sqrt{202}$ units or 14.2 units (rounded to the nearest tenth)

Step-by-step explanation:

To find the distance between a pair of two points, use the distance formula $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ . Substitute the x and y values of (-1,-2) and (8,9) into the formula and simplify:

$d = \sqrt{(-1-8)^2+(-2-9)^2} \\d = \sqrt{(-9)^2+(-11)^2} \\d = \sqrt{81+121} \\d= \sqrt{202}$

So, as an exact answer, the distance is $\sqrt{202}$ units.

(To find the decimal approximate of that answer, enter it into a calculator. This would make the decimal approximate 14.2 units, when rounded to the nearest tenth.)

serious [3.7K]3 years ago

6 0

Answer:

14.2

Step-by-step explanation:

All you need to do is plug the coordinates into the distance formula.

√(x2 - x1)² + (y2 - y1)²

√[8 - (-1)]² + [9 - (-2)]²

√(9)² + (11)²

√81 + 121

√202

= 14.2

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dsp73

Answer:

The graph move up 5.

Step-by-step explanation:

When we add a constant to the end of a parabola, it shifts the graph up and down. Since the constant here is positive, the graph moves up by that number (5)

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2 years ago

A chef uses 3 3/4 pounds of semolina flour and 1 5/8 pound whole wheat flour for each batch of pasta she makes.one week she uses

Maurinko [17]

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n = 86 lbs / (1 + 5/8 lbs/batch)
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3 years ago

Top Cat Car wash buys liquid soap in 5 gallon buckets. How many liters in one 5 gallon bucket?

Mandarinka [93]

Answer:

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Step-by-step explanation:

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3 years ago

Special Right Trianglws

Masteriza [31]

Answer:

x = $2\sqrt7$

y = $2\sqrt7$

Step-by-step explanation:

Hello!

This is a right isosceles triangle (45°-45°-90°). You can solve for the missing angle by simply subtracting 45° and 90° from 180° (sum of angles in a triangle equals 180°)

Since the triangle is isosceles, x and y are congruent because they are the legs opposite to the congruent angles.

In a right isosceles triangle, the hypotenuse is always the measure of one leg multiplied by $\sqrt2$ .

So, let's use leg y, $y\sqrt2 = 2\sqrt{14}$

Solve for y:

$y\sqrt2 = 2\sqrt{14}\\\\y = $\frac{2\sqrt{14}}{\sqrt2}$\\\\y = 2\sqrt7$

y = $2\sqrt7$ , which means that x is also $2\sqrt7$

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2 years ago

Do consumers spend more on a trip to Store A or Store B? Suppose researchers interested in this question collected a systematic

FinnZ [79.3K]

Answer:

We can be 95% confident that consumers spend between $4.04 and $15.96 less at Store A than the consumers spend at Store B.

Step-by-step explanation:

Confidence Intervals give an estimate as range of values for a statistic concerned at a <em>confidence level</em>.

In this case the statistic is the mean difference between Store A and Store B purchase amounts and the confidence level is 95%.

Confidence Interval can be calculated using M±ME where

M is the sample mean difference between Store A and Store B purchase amounts

ME is the margin of error from the mean

4 0

2 years ago