Answer:
[tex]9b^2=16\\b^2=\frac{16}{9} \\\b=\frac{4}{3}[/tex]
Answer:
±4/3
Step-by-step explanation:
9b² = 16
b² = 16/9
take square root of each side
b = ±4/3
= ( + ) = ( + ) = ( + )
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]
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]
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.
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
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
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
-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
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.
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.
If -5x-9y=5 is a true equation,would be the value of -5x-9y+2?
4x−(2x−9)−12x How many terms, constants, and coefficients?
Which expression is equivalent to
d12,
1000
0 100034
0 10006
otos
o too
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.
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
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:
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 multiplicative inverse of
-3½
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
will mark brainliest! someone please help me find the area of this!
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
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
construct the linear equation for the table
Help
this should be an easy math question but I learned it a long time ago so help me
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
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.
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:
Can you guys help me I’m a big stuck on this one ?!
Answer:
the first one
Step-by-step explanation:
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.