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4 years ago

I need help for the ones that's not complete. Please help.

Mathematics

1 answer:

geniusboy [140]4 years ago

8 0

For number 10, the range of a number is found by subtracting the lowest number from the highest number. In this case, you would do it backwards since you have the range. For instance, 18+9=27, which is the answer.

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Write the standard form of the equation of the circle with endpoints of a diameter at the points (7,2) and (-9,5).

lys-0071 [83]

Answer:

$(x+1)^2 + (y- 3.5)^2 =64$

Step-by-step explanation:

We are given that endpoints of a diameter at the points (7,2) and (-9,5).

Center of the circle is the mid point of diameter

So, first find the mid point of diameter

Formula : $x=\frac{x_1+x_2}{2} , y=\frac{y_1+y_2}{2}$

$(x_1,y_1)=(7,2)\\(y_1,y_2)=(-9,5)$

Substitute the values in formula

$x=\frac{7-9}{2} , y=\frac{2+5}{2}$

$x=-1 , y=3.5$

So, center of circle = (h,k )=(-1,3.5)

To find length of diameter :

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

$(x_1,y_1)=(7,2)\\(y_1,y_2)=(-9,5)$

$d=\sqrt{(-9-7)^2+(5-2)^2}$

$d=\sqrt{265}$

Length of radius = r = $\frac{Diameter}{2}=\frac{\sqrt{256}}{2}$

Standard form of the equation of the circle : $(x -h)^2 + (y- k)^2 = r^2$

(h,k )=(-1,3.5)

$r=\frac{\sqrt{256}}{2}$

Equation of the circle : $(x+1)^2 + (y- 3.5)^2 =(\frac{\sqrt{256}}{2})^2$

Equation of the circle : $(x+1)^2 + (y- 3.5)^2 =64$

Hence the standard form of the equation of the circle with endpoints of a diameter at the points (7,2) and (-9,5) is $(x+1)^2 + (y- 3.5)^2 =64$

5 0

3 years ago

3,800 = 3.8 x 100 what is the missing exponent or factor

iris [78.8K]

Answer:

3,800 = 38 * 100

Step-by-step explanation:

3.8 * 100

= 380

38 * 100

= 3,800

There is no missing exponent or factor, it's just 3.8 needs to be multiplied by 10.

6 0

3 years ago

Whats the slope for this

Yakvenalex [24]

Because the line is already written in slope-intercept form, we can find the slope and y-intercept just by looking at it.

The slope is 6.

The y-intercept is -12.

5 0

4 years ago

Read 2 more answers

What is the scientific notation for 6.782 x 10-4

Fynjy0 [20]

Answer:

that is already in scientific notation

Step-by-step explanation:

if you are asking for what's the actual number, then it's 0.000678

6 0

3 years ago

Simplify the expression. 2/3 × [15 × 5 + (-24)] + (-18)

prisoha [69]

2/3 x [ 15 x 5 + ( -24 )] + ( -18 ) = 2/3 * [ 15 * 5 - 24 ] - 18 =

= 2/3 * [ 45 - 24 ] - 18 = 2/3 * 21 - 18 = 2/3 * 21/1 - 18 = 2/1 * 7/1 - 18 =

= 14 - 18 = -4

4 0

3 years ago