What equation models the line that goes through the point (12,3) and has a slope of -1/3

Answers

Answer 1

Answer:

Answer:

y= -1/3x+7

Step-by-step explanation:

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Please show me how to solve for Xsquared - 21.75X = -15.75. I have the solution but do not know how to solve it.

Answers

$x^2-21.75x=-15.75 \nx^2-21.75x+15.75=0$

Use the quadratic formula:
$x^2-21.75x+15.75=0 \n \na=1 \n b=-21.75 \n c=15.75 \n b^2-4ac=(-21.75)^2-4 * 1 * 15.75=473.0625-63=410.0625 \n \nx=(-b \pm √(b^2-4ac))/(2a)=(-(-21.75) \pm √(410.0625))/(2 * 1)=(21.75 \pm 20.25)/(2) \nx=(21.75-20.25)/(2) \ \lor \ x=(21.75+20.25)/(2) \nx=(1.5)/(2) \ \lor \ x=(42)/(2) \nx=(15)/(20) \ \lor \ x=21 \nx=(3)/(4) \ \lor \ x=21 \n\boxed{x=(3)/(4) \hbox{ or } x=21}$

What is the definition of rhombus?

Answers

A rhombus is a parallelogram with all sides equal.

DEFINITION

rhombus is a parallelogram with four sided equal a parallelogram whose all sides are equal is called a rhombus

PROPERTIES

all side are equal length

each pair of opposite sides are equal

opposite angles are equal

diagonals of a rhombus are perpendicular bisector each other

$area \: (1)/(2) * product \: of \: diognal$

A square pyramid has a base with side lengths each measuring 40 inches. The pyramid is 21 inches tall, with a slant height of 29 inches

Answers

For solving of the area of a square pyramid, we can use the formula below:
A=a²+2a sqrt (a²/4 +h²)
where s for the slant height, r for the a/2, where a is the side length and h for the height
Substitute the values,
A=40²+(2*40) SQRT (40²/4 +21²)
A=3920
The answer is 3920 for the area of the square pyramid.

Answer with explanation:

Base of Pyramid which is in the shape of square ,having length of each side =40 inches

Height of pyramid = 21 inches

Slant height = 29 inches

Surface area of Square Pyramid

= Area of four Triangular faces +Area of Square base

Relation between Slant height (S), Length of base (B) and Height (H) of pyramid

$S=(√(B^2+4H^2))/(2)$

$29^2=\sqrt{(40^2)/(4)+21^2}$

So,this is a Square pyramid.

Surface area of Pyramid

$=B*(B+2 S)\n\n=B *(B+√(B^2+4H^2))\n\n=40 *(40+√(40^2+4* 21^2))\n\n=40 *(40+√(3364))\n\n=40 *(40+58)\n\n=40 * 98\n\n=3920$ square inches

Volume of Pyramid

$=(1* a^2* H)/(3)\n\n=(40^2 * 21)/(3)\n\n=1600 * 7\n\n=11200$ cubic inches

D=150 ft r=20 ft per min. t=?

Answers

t=d/r
plug in your numbers and divide then you have your answer.

determine the coordinates of the points that satisfy each condition two points on the x-axis are 10 units from (1,8)

Answers

To determine the coordinates of the points that satisfy the condition of being 10 units from (1,8) on the x-axis, we can set up two equations based on the distance formula.

Let's assume the coordinates of the points are (x, 0), where y = 0 represents the x-axis.

Using the distance formula, we have:

√[(x - 1)^2 + (0 - 8)^2] = 10

Simplifying the equation, we get:

√[(x - 1)^2 + 64] = 10

Squaring both sides, we have:

(x - 1)^2 + 64 = 100

Now, you can solve this equation to find the possible x-coordinates of the points.

Based on what you just explained about determining the coordinates of points that satisfy a given condition, let's move on to a related concept

What is the value of the expression "eight more than three times the difference of four and a number" when n =3?
□44
□19
□17
□11

Answers

Answer:

Step-by-step explanation:

3 (4 - n) + 8

When n = 3:

3 (4 - 3) + 8

3 (1) + 8

3 + 8

Answer:

Step-by-step explanation:

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