I need help with multiple questions I will give brainliest

If an regular interior angle of a regular polygon is 140 degrees, how many sides does the polygon have and I need the work

torisob [31]

Answer:

9 sides

Step-by-step explanation:

exterior angle + interior angle = 180° , so

exterior angle + 140° = 180° ( subtract 140° from both sides )

exterior angle = 40°

The sum of the exterior angles of a polygon = 360°

Dividing sum by the measure of 1 exterior angles gives number of sides

number of sides = $\frac{360}{40}$ = 9

8 0

3 years ago

2r+c+0.5d+8 how many terms does the expression have

Lemur [1.5K]

A term in a math expression is single number or variable and are separated by a + or - or × or ÷

This expression has 4 terms

2r

1c

.5d

and 8

8 0

3 years ago

Find all points on the x-axis that are 14 units from the point (6,-7) All points on the x-axis that are 14 units from the point

Maksim231197 [3]

Answer: $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

or (18.124,0) and ( -6.124,0) are the required points.

Step-by-step explanation:

Let (x,0) be the point on x -axis that are 14 units from the point (6,-7) .

Then by distance formula , we have

$\sqrt{(x-6)^2+(0-(-7))^2}=14\ \ \ [\ \because distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]$

Taking square on both the sides , we get

$(x-6)^2+7^2=14^2\\\\\Rightarrow\ x^2+6^2-2(6)x+49=196\\\\\Rightarrow\ x^2+36-12x=147\\\\\Rightarrow\ x^2-12x=111\\\\\Rightarrow\ x^2-12x-111=0$

Using quadratic formula : $x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}$

so, $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

since $\sqrt{3}=1.732$

so, $(6+7(1.732),0)\text{ and }(6-7(1.732),0)$ are the required points.

i.e. (18.124,0) and ( -6.124,0) are the required points.

3 0

3 years ago

Which two numbers have a sum of 11 and product of 28?

Elanso [62]

7 and 4

7+4=11
7•4=28

Hope it helps

7 0

3 years ago

2x+3y=9xy is this a linear or non-linear function pls give steps if posible

liq [111]

Answer:

Step-by-step explanation:

To Differentiate A linear Function from a non-linear one we have Several rules.

1: check the Variables exponent degree of the function if the exponent is zero or 1 of the function that's the function is linear.

2: if it's not 0 or 1 and Greater than 1 than it's non linear function also if the exponent is of any negative value like -1 or -2 than it's also a non linear function. The Given function is a non linear function because the 9xy value has two variables multiplied if we add the exponent values together which are 1+1 = 2 hence proved it's a non linear function. One More Thing a graph of non linear function will be always other than that of a straight line.

7 0

3 years ago