Answer:
(7,4)
Step-by-step explanation:
Midpoint Formula = [tex](x_{1} + x_{2}/2)=[/tex] x coordinate of midpoint
same for y coordinate of midpoint
so
2=-3+x/2
4=-3+x
x=7
for y
5=6+y/2
10=6+y
y=4
therefore B(7,4)
The multiplicative inverse of
-3½
Peter is x years old and his sister is 5 years older. If the product of their ages is 84, form an equation in x and solve it to find peter's age
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
Find the surface area of the cube and show your work please : )
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.
PLEASEEE I NEED HELP
Given the function f(x) = x2 – 8x + 9
a) Use completing the square to express the given function in vertex form.
b) State the coordinates of the vertex.
Identify the equation of the circle B that passes through (5,1) and has center (3,0).
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.
Help
this should be an easy math question but I learned it a long time ago so help me
What is the PE of an object that is 15kg that is 5.0 M above the ground?
Answer:
735 JStep-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
735 JHope this helps you
4x−(2x−9)−12x How many terms, constants, and coefficients?
Which of the following expressions is a factor of 2x2 – 11x + 152
(2x-3)
(x+3)
(2x+5)
(2x-5)
(2x-1)
Step-by-step explanation:
option 3 and 4 are correct answer
will mark brainliest! someone please help me find the area of this!
= ( + ) = ( + ) = ( + )
Which expression is equivalent to
d12,
1000
0 100034
0 10006
otos
o too
The shapes that 5 students drew are shown below
The shapes that are quadrilateral drawn by the students are Ashley , Camden and Hayden
What is a Parallelogram?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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When placed end to end, 5 yellow lego bricks are 2 cm longer than 2 green lego bricks. While 3 green lego bricks are 2 cm longer than 7 yellow lego bricks. How long are 5 green lego bricks?
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
construct the linear equation for the table
-3x + y = 7
5x+ 2y = 3
Substitution?
Answer: r=-1,y=4
Step-by-step explanation:
Complete the square to re-write the quadratic function in vertex form: y = x ^ 2 - 2x - 8
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]
If -5x-9y=5 is a true equation,would be the value of -5x-9y+2?
The perimeter of the square at the right is 48 inches. What is the area of the square at the right? Explain how you found your answer.
Calculate the value of b.
(b-15)
3b°
(2b + 45°
Diagram not drawn accurately
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
the table below shows the values for the function y=f(x). complete the table for the function y=f(1/5x).
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.
42. Use the Quadratic Equation to find the Roots of x2 + 3x - 3 = 0
Answer:
Roots: 0.79 and 3.79Step-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]
what is the highest fractions 2/4 5/6 3/2 1/9 4/5 8/2
Answer:
8/2
eight halves
Step-by-step explanation:
please mark this answer as brainliest
Can someone pleaseeee help and if you’re correct i’ll give brainliest
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.
Write an equation of the line that passes through the given points.
(-4,9) and (1, -1)
Answer:
y=-2x+1
Step-by-step explanation:
A data set has a lower quartile of 3 and an interquartile range of 5. Which box plot could represent this data set?
0
5
10
15
20
25
5
10
15
20
25
10
15
20
25
10
15
20
25
Answer:
could you put a picture up of the different box plots to choose from?
Step-by-step explanation:
10. need help with this question plzz
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
If the measure of two angles in a triangle are 60 and 100 degrees, what is the measure of the third angle? a. 20 degrees) b. 50 degrees) c. 30 degrees) d. 180 degrees)
Answer:
A. 20 degrees
Step-by-step explanation:
All triangles have 180 degrees in total !
using that info,
100+60= 160
180-160 = 20
In ΔWXY,m∠W=(2x−12)m∠X=(2 x+17), and∠Y=(9x−7). Find∠X.
Answer:
x = 15
Step-by-step explanation:
2x + 17 = X
x=17-2
= 15
therefore x = 15
Can you guys help me I’m a big stuck on this one ?!
Answer:
the first one
Step-by-step explanation: