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3 years ago

I nedd help on this please

Mathematics

1 answer:

inysia [295]3 years ago

5 0

Answer:

c sqrt( ( x2-x1) ^2 + ( (y2-y1) ^2)

Step-by-step explanation:

The distance formula is

d = sqrt( ( x2-x1) ^2 + ( (y2-y1) ^2)

It is the difference between the coordinates. It is based on the Pythagorean theorem

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The length of a rectangle is 3 centimeters less than four times its width. Its area is 10 square centimeters. Find the dimension

Kay [80]

Answer:

W = 2 cm

L = 5 cm

Step-by-step explanation:

A rectangle is a four sided shape with 4 perpendicular angles. It has two pairs of parallel sides which are equal in distance: width and length. Its area, the amount of space inside it, can be found using the formula A = l*w. If the area is 10 cm² and the length is "3 cm less than 4 times the width" or 4w - 3, you can substitute and solve for w.

A = l*w

10 = (4w - 3)(w)

10 = 4w² - 3w

Subtract 10 from both sides to make the equation equal to 0. Then solve the quadratic by quadratic formula.

4w² - 3w - 10 = 0

Substitute a = 4, b = -3 and c = -10.

$w = \frac{3 +/- \sqrt{(-3)^2 - 4(4)(-10)} }{2(4)} = \frac{3 +/- \sqrt{9 +160)} }{8} = \frac{3 +/- \sqrt{169} }{8} = \frac{3+/-13}{8}$

There are two possible solutions which can be found.

3 + 13 / 8 = 16/ 8 = 2

3 - 13 / 8 = -10/8 = -5/4

Since w is a side length or distance, it must be positive so w = 2 cm.

If the width is 2 cm then the length is 4(2) - 3 = 8 - 3 = 5 cm.

8 0

2 years ago

Which data value has the highest frequency? 116 316 38 58

lara31 [8.8K]

1/16. that is the value that has the most x's on the graph.

8 0

3 years ago

Read 2 more answers

The endpoints of the diameter of a circle are (−2, −3) and (4, −1). Which equation represents the circle?

Alika [10]

Answer:

The equation of circle is $(x-1)^{2}$ + $(y-2)^{2}$ = 18

Step-by-step explanation:

Given the endpoints of the diameter of a circle: (-2,-3) and (4,-1)

We know that the equation of circle is

$(x-h)^{2}$ + $(y-k)^{2}$ = $r^{2}$

where (x,y) is any point on the circle, (h,k) is center of the circle and r is radius of circle.

To find (h,k): the center is midpoint of diameter

Midpoint of diameter with end points (x1,y1) and (x2,y2) is given by

( $\frac{x1+x2}{2}$ , $\frac{y1+y2}{2}$ )

( $\frac{-2+4}{2}$ , $\frac{-3-1}{2}$ )

(1,2)

Hence (h,k) is (1,2)

Substituting values of (h.k) and (x.y) as (1,2) and (4,-1) respectively in equation of circle, we get

$(4-1)^{2}$ + $(-1-2)^{2}$ = $r^{2}$

$r^{2}$ = 18

Now substituting values of (h,k) and $r^{2}$ in equation of circle, we get

$(x-1)^{2}$ + $(y-2)^{2}$ = 18

Hence the equation of circle is $(x-1)^{2}$ + $(y-2)^{2}$ = 18

5 0

3 years ago

Read 2 more answers

If a data value in a normal distribution has a negative z-score, which of the following must be true?

mel-nik [20]

Correct Answer:
The data value must be less than the mean.

The formula for the z value is:

z-value = (Data value - Mean) / Standard Deviation

The z-value will be negative when the Numerator of the above expression will be negative. The numerator will be negative only when the Data Value is less than the mean value. For example, for a data value of 5 and mean value 8, the numerator will be -3, and when it will be divided by standard deviation, the resulting z value will be negative.

So, Third option is the correct answer.

4 0

3 years ago

Read 2 more answers

Given that an intercepted arc has length 6pi inches and a central angle is pi/3, find the radius

MA_775_DIABLO [31]

$\bf \textit{arc's length}\\\\
s=r\theta \quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad radians\\
------\\
s=6\pi \\
\theta =\frac{\pi }{3}
\end{cases}\implies 6\pi =r\left( \frac{\pi }{3} \right)\implies \cfrac{6\pi }{\frac{\pi }{3}}=r
\\\\\\
\cfrac{6\pi }{1}\cdot \cfrac{3}{\pi }=r\implies 18=r$

5 0

3 years ago