Answer:
The first step is to subtract 4 to both sides. Next we must multiply both sides by 2. The answer is - 20
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:
Help
this should be an easy math question but I learned it a long time ago so help me
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
A triangle has one side which is 1 foot long and another side which is 2 feet long.
Write a value that could be the length of the third side, in feet. Show your work.
Answer:
Is the triangle a right triangle?
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
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
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.
8 7/8 divided by 2 1/2 feet
Answer:
3.55
Step-by-step explanation:
First you must reduce the problems so they do not have a whole. then just divide. You can also use a calculator.
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]
-3x + y = 7
5x+ 2y = 3
Substitution?
Answer: r=-1,y=4
Step-by-step explanation:
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
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.
The balance in Al's account is $ 32.60 . The balance in Dee's account is 3 4 the balance in Al's account. The balance in Zac's account is $ 49.08 less than the balance in Dee's account. What is the balance in Zac's account?
Answer:
Balance in Zac's account = - $24.63
Step-by-step explanation:
Given:
Balance in Al's account = $32.60
Balance in Dee's account = 3/4 the balance in Al's account
Balance in Zac's account = balance in Dee's account - $49.08
Find:
Balance in Zac's account
Computation:
Balance in Dee's account = 3/4 the balance in Al's account
Balance in Dee's account = [3/4][32.60]
Balance in Dee's account = $24.45
Balance in Zac's account = balance in Dee's account - $49.08
Balance in Zac's account = $24.45 - $49.08
Balance in Zac's account = - $24.63
The multiplicative inverse of
-3½
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
#SPJ2
Is that right? I'll post the pic
Answer:
I believe it is, I skimmed across it looks accurate to me
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]
will mark brainliest! someone please help me find the area of this!
The formula for throwing a baseball in the air is represented by h=-16t^2 + 12t + 40 where h is the height of the ball. What is the maximum height of the ball?
Answer:
the maximum height of the ball is 42.25 m
Step-by-step explanation:
Given the height function as;
h(t) = -16t² + 12t + 40
At maximum height, the final velocity of the ball will be zero.
The final velocity is calculated as follows;
[tex]v = \frac{dh(t)}{dt} = -32 t+ 12\\\\at \ maximum \ height\ v = 0\\\\Thus, -32 t+ 12 = 0\\\\32t = 12\\\\t = \frac{12}{32} \\\\t = 0.375 \ s[/tex]
At maximum height, the time of motion of the ball is 0.375 s.
The maximum height is calculated as follows;
h(t) = -16t² + 12t + 40
h(0.375) = -16(0.375)² + 12(0.375) + 40
h(0.375) = -2.25 + 4.5 + 40
h(0.375) = 42.25 m
Therefore, the maximum height of the ball is 42.25 m
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.
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
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
hello please help i’ll give brainliest
Answer:
Step-by-step explanation:
Both arsenic and lead can be / are poisonous, so "poison" is the best response here.
Which expression is equivalent to
d12,
1000
0 100034
0 10006
otos
o too
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:
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.
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
= ( + ) = ( + ) = ( + )
If -5x-9y=5 is a true equation,would be the value of -5x-9y+2?