The midpoint of AB isM(2,5). If the coordinates of A are (−3,6), what are the coordinates of B?

Answer:

x^2 + 5x - 84 = 0

x = 7

Step-by-step explanation:

let the sister's age = y

sister's age (y)  = 5 + x  equation 1

xy = 84  equation 2

Make y the subject of the formula in equation 2

y = 84/x

equate equation 1 and 2

84/x = 5 + x  equation 3

Multiply equation 3 by x

84 = 5x + x^2

x^2 + 5x - 84 = 0

tjis can be solved using quadratic equation

x^2 -7x + 12x -84 = 0

x(x + 12) -7(x + 12)

x = 7 or - 12

age cant be negative so his age is 7

Answer:

x = 15

Step-by-step explanation:

2x + 17 = X

x=17-2

= 15

therefore x = 15

Answer:

the first one

Step-by-step explanation:

Answer:

b = 30

Step-by-step explanation:

The sum of the 2 angles above the line will equal the angle below the line

3b + b - 15 = 2b + 45

4b - 15 = 2b + 45 ( subtract 2b from both sides )

2b - 15 = 45 ( add 15 to both sides )

2b = 60 ( divide both sides by 2 )

b = 30

Answer: r=-1,y=4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

From the question we have

PE = 15 × 9.8 × 5

We have the final answer as

Hope this helps you

Answer:

150 cm.

Step-by-step explanation:

There 6 squares in a cube.

**SQUARES HAVE EQUAL SIDES.**

To find the area of an individual square, multiply the side length by itself twice. (x^2)

The side lengths of the squares are 5.

5 x 5 = 25.

25 is the area of each individual square.

Since there are 6 squares in total, multiply 25 by 6.

25 x 6 = 150.

Therefore, 150 cm is the surface area of the cube.

Answer:

Hexagon

Step-by-step explanation:

It has more than 3 sides because it is more sides than a triangle and less than 5 since it has to be fewer sides than a pentagon. A hexagon has 6 sides meaning it has more sides than the pentagon.

Answer:

It should be hexagon

Step-by-step explanation:

Hex equals 6 and quad equals 4, so it would not be quadrilateral or square or recanatgle. So hexagon is your answer.

Answer:

8/2

eight halves

Step-by-step explanation:

please mark this answer as brainliest

Answer:

y=-2x+1

Step-by-step explanation:

Step-by-step explanation:

option 3 and 4 are correct answer

Answer:

okay

Step-by-step explanation:

SO MARK THE PERIMETER AND THE FORMULA FOR FINDING TRAPEZUIM IS

area=1/2 (a+b)h

Answer:

144 cm²

Step-by-step explanation:

5x + 12x + 6x + 5x = 56

=> 28x = 56

=> x = 2

DC => 6x = 6(2) = 12

AB => 12x = 12(2) = 24

BC => 5x = 5(2) = 10

AD => 5x = 5(2) = 10

trapezium is an isosceles trapezium because a trapezium with a pair of non-parallel sides(BC&AD) that have equal distances, which are congruent, is an isosceles trapezium.

Thus, the base of the two triangles on each side are congruent.

base: (AB - DC) ÷ 2 = (24 - 12) ÷ 2 = 6

calculate the height using Pythagorean theorem => √10² - 6² = 8

area of the isosceles trapezium ABCD: (12 + 24) × 8 ÷ 2 = 144

Answer:

[tex]y=(x-1)^2-9[/tex]

Step-by-step explanation:

[tex]y=x^2-2x-8[/tex]

To complete the square:

[tex]\frac{b}{2}=(-1)^2=1[/tex]

[tex]y=x^2-2x-8[/tex]

[tex]+9[/tex]                 [tex]+9[/tex]

[tex]y+9=x^2-2x+1[/tex]

[tex](x-1)^2=y+9[/tex]

          [tex]-9[/tex]         [tex]-9[/tex]

[tex]y=(x-1)^2-9[/tex]

Answer:

Are you saying look for the slope? because if so can help

Step-by-step explanation:

Answer:   (x − 3)2 +  y2 = 5

a. (x + 3)2 +  y2 = 5

b. (x − 3)2 +  y2 = 25

c. (x − 3)2 +  y2 = 5

d. (x + 5)2 + ( y + 1)2 = 25

Step-by-step explanation:

Begin by determining the length of the radius for the circle. A radius is a line segment from the center of the circle to any point on the circle. Find the length of the radius using the Distance Formula.

r= √(x2 − x1)2 + (y2 − y1)2

Substitute the given values for the center of the circle and the point on the circle into the distance formula and solve for r.

r= √( 5− 3)2 + (1 − 0)2

= √22 + 12

= √4 + 1

= √5

So, the length of the radius is √5 units.

The equation of a circle with center (h, k) and radius r is (x − h)2 + (y − k)2 = r2. Substitute the value for the radius and the coordinates of the center of the circle into the equation.

(x − 3)2 +(y − 0)2 = (√5)2

Simplify.

(x − 3)2 + y2 = 5                                                                                            Therefore, the equation of the circle B that passes through (5, 1) and has center (3, 0) is (x − 3)2 +y2 = 5.

x y

-4 -4/5

-1 -1/5

0 0

3 3/5

6 6/5

Step-by-step explanation:

So fill in the same numbers for x. then multiply them by 1/5 since the function is 1/5 times x.

Answer:

5 green lego bricks are equal to 12 yellow lego bricks

Step-by-step explanation:

Let the yellow and green lego bricks be denoted by y and g respectively.

According to the given conditions

5y+ 2= 2g------ equation 1

3g+2= 7y----- equation 2

Rearranging the equations and adding

5y+ 2= 2g------ equation 3

7y-2= 3g----- equation 4

12y= 5g

5 green lego bricks are equal to 12 yellow lego bricks

Answer:

could you put a picture up of the different box plots to choose from?

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]x^2 + 3x - 3 = 0\\a=1\,,\ \ b=3\,,\ \ c=-3\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-3\pm\sqrt{3^2-4\cdot1\cdot(-3)}}{2\cdot1}=\dfrac{-3\pm\sqrt{9+12}}{2}=\dfrac{-3\pm\sqrt{21}}{2}\\\\x\approx0.79\quad or\quad x\approx3.79[/tex]

The shapes that are quadrilateral drawn by the students are Ashley , Camden and Hayden

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The sum of angles of a parallelogram is 360°

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the quadrilateral drawn by the respective students be A

Now , the value of A is

The quadrilateral drawn by Ashley has 4 sides

So , it is a quadrilateral

Now , the shape drawn by Camden also has 4 sides

So , it is a quadrilateral

And , the shape drawn by Hayden is a polygon that has 4 side

Hence , the quadrilateral are drawn by Ashley , Camden and Hayden

To learn more about parallelogram click :

https://brainly.com/question/23488153

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Answer:

A. 20 degrees

Step-by-step explanation:

All triangles have 180 degrees in total !

using that info,

100+60= 160

180-160 = 20