Answer:
16x² + 24x + 9
Step-by-step explanation:
16x² + 24x + 9 =(4x)²+2*4x*3 + 3² = (4x +3)²
In the diagram below of circle o, chords AB and CD intersect at E.
If CE = 10, ED = 6, and AE = 4, what is the length of EB?
AWARDING MAX POINTS
Answer:
The length of EB is found 15
Step-by-step explanation:
As the diagram of the circle is not given in the question, I've found the diagram of the same question from internet and attached below. So that we can have a better understanding)
We can see in the diagram the chord AB and chord CD intersect each other at point E.
Each of the chord is divided into two segments.
According to the Intersecting Chords Theorem:
Products of the lengths of line segments on each chord are equal
Which means that
(AE)(EB) = (CE)(ED)
Substitute the given values;
(4)(EB) = (10)(6)
4(EB) = 60
EB = 15
Answer:
The length of EB is found 15
Step-by-step explanation:
As the diagram of the circle is not given in the question, I've found the diagram of the same question from internet and attached below. So that we can have a better understanding) We can see in the diagram the chord AB and chord CD intersect each other at point E. Each of the chord is divided into two segments. According to the Intersecting Chords Theorem: Products of the lengths of line segments on each chord are equal Which means that (AE)(EB) = (CE)(ED) Substitute the given values; (4)(EB) = (10)(6) 4(EB) = 60 EB = 15
Question:
Consider the rectangle shown here.
A. State its area in square inches.
B. State its area in square feet, to the nearest tenth.
C. In general, A square inches equals how many square feet?
Answer:
A. Area in square inches = 1760 square inches
B. Area in square feet = 12.2 square feet
C. 1 square inch = [tex]\frac{1}{144}[/tex] feet
Step-by-step explanation:
Given,
Length of the rectangle (l) = 55 inches
Breath of the rectangle (b) = 32 inches
A. Area of the rectangle = length × breath
⇒ 55 × 32
⇒ 1760 square inches
Area in square inches = 1760 square inches
B. 1 foot = 12 inches
1 inch = [tex]\frac{1}{12}[/tex] feet
1 square inch = [tex]\frac{1}{144}[/tex] feet
∴ 1760 square inches = [tex]\frac{1760}{144}[/tex] feet
⇒ 12.2222 square feet
Area in square feet = 12.2 square feet
C. 1 square inch = [tex]\frac{1}{144}[/tex] feet
Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit. The food cost is modeled by the equation 5 v plus 7 f equals 28.70, where v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (Round to the nearest cent, as needed.
Answer:
one dollar 75 cents
Step-by-step explanation:
lets write the original equation again
5v+7f=28.70
now, lets put in the cost of the fruit to find cost of veggies
5v+7(2.85)=28.70
5v+19.95=28.70
5v=8.75
5=1.75
Answer:
Answer: $1.75
Step-by-step explanation:
Each pint of fruit = $2.85
7 pints of fruit = 2.85 x 7 = 19.95
5 pints of veggies will cost
28.70 - 19.95 = 8.75
Each pint of veggies = 8.75 / 5 = 1.75
Mention a few number systems and explain in brief
Answer:
Step-by-step explanation:
The system is common use is the decimal system which is based on 10;
So for example the number 45 :
45 = 4 * 10^1 + 5 * 10^0 and
132 = 1*10^2 + 3*10^1 + 2*10^0.
The single digits in the decimal system are 0,1,2,3,4,5,6,7,8 and 9 .
Then we have 10, 11 and so on
Then there is the binary system which is based on 2 digits
In this system there are only 2 digits 0 and 1, so
10 binary = 1*2^1 + 0*2*0 which is equivalent to 2 in the decimal system.
111 binary = 1*2^2 + 1*2^1+ 1*2*0 = 4 + 2 + 1 = 7 decimal
Another system is the octal system, based on 8.
The digits are 0,1,2,3,4,5,6,7
So 10 octal = 8 + 0 = 8 decimal
and 17 octal = 1*8^1 + 7* 8^0 = 8 + 7 = 15 decimal.
The red figure is the transformed image of the blue figure. Malcolm correctly identifies a sequence of two transformations that can move the blue figure onto the red figure. Ursa correctly identifies a single transformation that can be used. Use the drop-down menus below to complete the statements describing the transformations they used.
Answer:
Step-by-step explanation:
Malcolm's transformation:
First, the blue image is reflected about the line y=-5
Then it is rotated 180 degrees around the point (0,-5)
(you can have other options this is just one example)
Ursa's transformation:
The blue image is reflected about the y axis
(you can have other options this is just one example)
First the blue image with coordinates (x, -y) is translated to get (-x, -y) then it is rotated 180° to get the point (-x, -y) which is the coordinate of the pink image.
What is transformation?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
First the blue image is translated
Then it is rotated 180° to get the red figure with coordinates (-x, -y)
Two transformation that is equivalent to a reflection
Hence, the two transformations are;
First the blue image with coordinates (x, -y) is translated to get (-x, -y)
Then it is rotated 180° to get the point (-x, -y) which is the coordinate of the pink image.
For more references on transformations, click;
https://brainly.com/question/11709244
#SPJ2
Can someone help me ???????
Answer:
Step-by-step explanation:
15/3= 5
Orrrr
15/-3=-5
I need help asap pls help me
Answer:
36 ft
Step-by-step explanation:
The first step is to find the length of the hypotenuse of the newly formed right triangle. Using the Pythagorean theorem:
[tex]x=\sqrt{10^2+24^2}=\sqrt{100+576}=\sqrt{676}=26[/tex]
Adding this to the 10 foot tall part of the tree that remains standing, you get an initial height of 26+10=36 feet. Hope this helps!
How to convert 1/4 to decimal form. How do I start that ? I obviously know it’s .25 but how do I show work ?
Answer:
(1/4 x 1 ) = 0.25
or (1/4) x 1 = 0.25
Step-by-step explanation:
We are doing the opposite to finding 25%
Which is 1/4 of 100%
We do this an opposite (not as inverse)
To find percentage increase as you can compare below.
or as percentage increase
230 x 0.25 (x 100) = 287.50
Even though we are not finding increase for 1/4 by changing it to decimal form, this practice does use the (x1) element in brackets and does identify the distribution.
Answer:
Use a calculator or use long division. See long division below.
Step-by-step explanation:
Use a calculator or use long division.
Long division:
------------------------------
4 | 1
4 does not go into 1, so add a decimal pace to 1.
0.
------------------------------
4 | 1.0
4 goes into 10 2 times.
0.2
------------------------------
4 | 1.0
- 8
--------------
2
There is a remainder, so bring down another 0.
0.2
------------------------------
4 | 1.00
- 8
--------------
20
4 goes into 20 5 times.
0.25
------------------------------
4 | 1.00
- 8
--------------
20
- 20
--------------
0
The remainder is zero.
1/4 = 0.25
In the diagram below, if
AEB=50°, find the measure of
AED.
Answer: 130ᴼ
Step-by-step explanation:
BD is a straight line so AEB and AED add to equal 180ᴼ
180 - 50 = 130
Answer:
AED = 130
Step-by-step explanation:
AEB and AED form a straight line so they add to 180 degrees
AEB + AED = 180
50 + AED = 180
Subtract 50 from each side
AED = 180-50
AED = 130
PLEASE HELP ASAP- What is the quotient of the integers closest to the square root of 254 and the square root of 62?
Answer:
2
Step-by-step explanation:
sqrt(254) is in between 15 and 16, closer to sqrt(256), which is 16
sqrt(62) is in between 7 and 8, closer to sqrt(64), which is 8
thus 16/8 is 2
Triangle JKL has vertex coordinates J(0,-3), K(-1,0), and L(-2,-1). It is reflected across the line y = x. What are the coordinates of J’K’L?
A. J’(0,-3), K’(1,0), L’(2,-1)
B. J’(-3,0), K’(0,-1), L’(-1,-2)
C. J’(3,0), K’(0,1), L’(1,-2)
D. J’(0,3), K’(-1,0), L’(-2,1)
Answer:
B
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ), thus
J(0, - 3 ) → J'(- 3, 0 )
K(- 1, 0 ) → K'(0, - 1 )
L(- 2, - 1 ) → L'(- 1, - 2 )
Answer:
yee its B
Step-by-step explanation:
Please help! I have not seen a correct answer yet :(
A standard six-sided die is rolled 6 times. You are told that among the rolls, there was one 1, two 2's, and three 3's. How many possible sequences of rolls could there have been? (For example, 3,2,3,1,3,2 is one possible sequence.)
Answer:
60 possible sequences.
Step-by-step explanation:
That would be 6! / 3! 2!
6*5*4*3*2*1
= ------------------
3*2*1*2*1
= 5*4*3
= 60.
Expand 4(2x - 3)
Please
Answer:
4(2x) 4(-3)
Step-by-step explanation:
Separate the two parts of what is inside of the parentheses to “expand” it.
Answer:
The correct answer is
2x − 3
You can expand using the binomial expansion theorem.
Hope this helps!
- Quinn <3
Answer plz!
Which choices are equivalent to the expression below? Check all that apply.
The right options are:
Option AOption COption Eplease see the attached picture
Hope it helps
Good luck on your assignment
Find the distance of point U(2, 3) from point V(5, 7).
Answer:
5
Step-by-step explanation:
You can draw a point at (5,3) and call it point A.
Connect point A with V and U to get VA = 4 and UA = 3.
You get a right triangle and use pythagoream theroem. The answer is the root of 4^2 + 3^2 which equals to 5.
The answer is 5
What is the measure of arc AB? A) 60° B) 75° C) 125° D) 150°
Answer:
150
Step-by-step explanation:
The arc would be the same as the angle that is in it's center because this is a circle.
The measure of arc AB is equal to the 150 degree, as central angle is equal to the intercepted arc. Option D is the correct option.
What is the central angle of the arc?The central angle is the angle which is subtended by the arc of the circle at the center point of that circle. The formula which is used to calculate the central angle of the arc is given below.
[tex]\theta=\dfrac{s}{r}[/tex]
Here, (r) is the radius of the circle, (θ) is the central angle and (s) is the arc length.
In the given circle, suppose the center of it is O. The central angle AOB given as,
[tex]\angle AOB=150^o[/tex]
The central angle is equal to the intercepted arc of the angle. Thus,
[tex]\text {arc } AB=\angle AOB\\\text {arc } AB=150^o[/tex]
Thus, the measure of arc AB is equal to the 150 degree as central angle is equal to the intercepted arc. Option D is the correct option.
Learn more about the central angle of the arc here;
https://brainly.com/question/4418954
#SPJ2
Solve the system of linear equations by elimination.
-
- 3x + 4y = 18
6x+2y = -6
Answer: (-2,3)
Step-by-step explanation:
-3x + 4y = 18
6x + 2y= -6 we have to eliminate one of the variables so you will have ot
2(-3x + 4y) = 18(2) multiply the first equation by 2.
-6x + 8y = 36
6x + 2y = -6 now we could eliminate the x terms by adding them and
0 + 10y= 30 remember that is a new equation.
y= 3
Now we know that the y solution is 3 so we will put it into one of the equations and solve for x.
-6x + 8(3)=36
-6x + 24= 36
-24 -24
-6x = 12
x= -2
The solution for the system of given linear equations is (-2, 3).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are -3x + 4y = 18 ----(I) and 6x+2y = -6 ----(II).
By elimination method,
Multiply equation (I) by 2, we get
-6x+8y=36 ----(III)
Add equation (II) and (III), that is
-6x+8y+6x+2y=36-6
10y=30
y=3
Substitute, y=3 in -3x + 4y = 18, we get
-3x+4(3)=18
-3x=6
x=-2
Therefore, the solution for the system of given linear equations is (-2, 3).
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
#SPJ5
measurement of these angles
Answer:
1= 105, 2= 75
Step-by-step explanation:
Based on the 75 degree angle, since alternate interior angles have the same measurements, angle 2 will also measure 75 degrees. Furthermore, since angle 1 and angle 2 are supplementary angles, angle 1 will be 105 degrees because 105 + 75 is 180.
Factor. x2−8x+16
(x+8)2
(x−4)2
(x+4)2
(x−8)2
Answer:
B
Step-by-step explanation:
[tex]x^2-8x+16= \\\\(x-4)(x-4)=\\\\(x-4)^2[/tex]
You can confirm this by working in reverse:
[tex](x-4)^2= \\\\(x-4)(x-4)=\\\\x^2-4x-4x+16=\\\\x^2-8x+16[/tex]
Hope this helps!
Answer:
(x−4)^2
Step-by-step explanation:
I did the test
Simplify √ 20 x 8 y 9 to the form a √ b .
Answer:
Juanita dissolves 46 g of MgBr2 (molar mass: 184.11 g/mol) in 0.5 kg of distilled water. What is the molality of the solution?
A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal. A rhombus ABCD is shown with diagonal AC equal to 14.6 feet and diagonal BD equal to 12.1 feet What is the area of the farm? 48.4 square feet 53.4 square feet 88.33 square feet 117.76 square feet
Answer:
88.33.. ft²
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A = [tex]\frac{1}{2}[/tex] product of diagonals , thus
A = 0.5 × 14.6 × 12.1 ≈ 88.33 ft²
Answer:
We could try another method to check, where we highlight each right angle as each is congruent from centre point.
1/2 7.3 base = 3.65 x 6.05 = 22.0825 x 4 = 88.33unit^2
Step-by-step explanation:
If it doesnt work please just tell me :)
Answer:
33units^2 is the answer
Step-by-step explanation:
Identify the vertex of the parabola plssss..!!!!!!
Answer:
the vertex is (4,-1)
So this isn’t a test I just want to make sure I’m writing this correctly.
I have written 2x-18=-2y+12
Then I added 18 is that correct so far.
Answer:
[tex]3[/tex]
Step-by-step explanation:
[tex]2x-18=-2y+12[/tex]
[tex]y=12[/tex]
[tex]2x-18=-2(12)+12[/tex]
[tex]2x-18=-24+12[/tex]
[tex]2x-18=-12[/tex]
[tex]2x-18+18=-12+18[/tex]
[tex]2x=6[/tex]
[tex]\frac{2x}{2} =\frac{6}{2}[/tex]
[tex]x=3[/tex]
Answer:
x = 3
Step-by-step explanation:
=> 2x-18 = -2y+12
Given that y = 12
Putting in the above equation to get the value of x
=> 2x-18 = -2(12)+12
=> 2x-18 = -24+12
=> 2x-18 = -12
Adding 18 to both sides
=> 2x = -12+18
=> 2x = 6
Dividing both sides by 2
=> x = 3
Which of the following graphs represents exponential decay?
Answer:
C
Step-by-step explanation:
C is the only viable answer, because it it the only one that decreases as x approaches infinity. Exponential decay decreases, hence the decay part.
The graph of the unknown function C represents exponential decay.
The correct option is C.
What is exponential decay?An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.
The exponential decay function:
Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.
Given:
Two graphs of the unknown functions are given.
And when the value of x approaches to positive infinity,
the value of y decrease exponentially.
And from the above definition,
the graph is C.
Therefore, the graph is C.
To learn more about the exponential decay;
https://brainly.com/question/14344314
#SPJ5
The table shows the function representing the height in the area of the base of a rectangular prism for different values of X the volume of the prism when X = 3 is 36 which equation can be used to represent the volume of the prism, v(x)?
Answer:
A
can i have brainliest lol
Step-by-step explanation:
when x = 3, the volume is 36.
4 times 9 = 36, so you multiply f(x) by g(x) to get 36
What is the area of the figure?
2ft
1 1/3 ft
1/3 ft
5 ft
Answer:
12
Step-by-step explanation:
A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using all of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other. Which equation represents x, the side length of the greater square? x2 + (x – 2)2 = 10 x2 + 2x2 = 10 x2 + (x – 2)2 = 100 x2 + 2x2 = 100
Answer: It should be x^2 + (x-2)^2 = 100
Step-by-step explanation: the ^ is used to indicate an exponent when superscript is not available.
The solution to the correct equation will be x = 8. x -2 would be 6
8^2 = 64. 6^2 = 36. 64+36 = 100.
The equation that represents x, the side length of the greater square should be considered as the [tex]x^2 + (x-2)^2 = 100[/tex]
Calculation of the equation:Since
A group of students is given a 10 by 10 grid to cut into individual unit squares.
So here the equation be like [tex]x^2 + (x-2)^2 = 100[/tex]
Hence, The equation that represents x, the side length of the greater square should be considered as the [tex]x^2 + (x-2)^2 = 100[/tex]
Learn more about an equation here: https://brainly.com/question/17069398
algebra applications
Answer:
X=55°
Y=30°
Step-by-step explanation:
2y=x+5
Y=1/2x+2.5
3y+30=4x-100
3(0.5x+2.5)+30=4x-100
1.5x+7.5+30=4x-100
4x-1.5x=137.5
2.5x=137.5
X=55°
Y=30°
Answer:
[tex]x = 55\\y = 30\\[/tex]
Step-by-step explanation:
Finding x:
4x - 100 + x + 5 = 180 (Angles on a straight line)
5x - 95 = 180
5x = 180 + 95
5x = 275
Dividing both sides by 5
x = 55
Finding y:
2y + 3y +30 = 180 (Angles on a straight line)
5y = 180-30
5y = 150
Dividing both sides by 5
y = 30
Graph the equation by plotting three
points. If all three are correct, the line
will appear.
2y = 3x + 11
Answer:
y=3/2x+11/2
Step-by-step explanation:
divide the whole thing by 2
2y=3x+11 divided by 2 equals
y-3/2x+11/2
then just plug in the 3 points
