Answer:
3x³ + 16x² + 12x - 16
Step-by-step explanation:
(x - -4)(3x² + 4x - 4)
(x + 4) (3x² + 4x - 4)
3x³ + 4x² - 4x + 12x² + 16x - 16
3x³ + 4x² + 12x² - 4x + 16x - 16
3x³ + 16x² + 12x - 16
Z= a/m, for a
It a literal equation
Answer:
a = zm
Step-by-step explanation:
z = a/m for a
Multiply all sides by m
zm = a or a = zm
Example:
2 = 6/3
in this case, z = 2, a = 6, and m = 3
We would multiply z(2) and m(3) to get a(6)
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Does anyone know how to find these measures. Pls it’s due in a few hrs
Answer:
17) 120°
18) 85°
Step-by-step explanation:
→ Find the sum of angles in each shape
Quadrilateral = 360°
Triangle = 180°
→ Add the angles together and subtract it from the sum
360 - ( 80 + 80 + 80 ) = 120° for number 17
180 - ( 35 + 60 ) = 85° for number 18
30 POINTS! PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!! Transformation
Options for center of dilation is located -->
At the center of the smaller circle, or at the center of the larger circle, or at at the top of the larger circle, or to the right of both circles, or to the left of both circles.
I WILL REPORT SCAMS.
The scale factor of the dilation is 0.78
The centre of dilation is located at (0,0)
The scale factor of a dilation is the ratio of the corresponding component of the final image to the original image.
According to the image given, the scale factor will be the ratio of the radius of the final image to the original image as shown below:
[tex]Scale \ factor = \frac{small \ radius}{large \ radius} \\Scale \ factor = \frac{7}{9}\\ Scale \ factor=0.78[/tex]
Hence the scale factor of the dilation is 0.78
The centre of dilation is located at the origin because the radius is the distance between the centre of the circle and its circumference. We can therefore conclude that the centre of dilation is located at (0,0)
The scale factor of the dilation is [tex]\frac{7}{9}[/tex].
The center of dilation is a point to the right of both circles.
From Analytical Geometry we know that every Circle is defined by its Radius, its form is directly proportional to its radius. Hence, the Scale Factor of the Dilation ([tex]f[/tex]) is the following ratio:
[tex]f = \frac{r_{2}}{r_{1}}[/tex] (1)
Where:
[tex]r_{1}[/tex] - Radius of the original circle.
[tex]r_{2}[/tex] - Radius of the dilated circle.
If we know that [tex]r_{1} = 9[/tex] and [tex]r_{2} = 7[/tex], then the scale factor of the dilation is:
[tex]f = \frac{7}{9}[/tex].
The scale factor of the dilation is [tex]\frac{7}{9}[/tex].
There is a geometrical approach to determine the location of the Center of Dilation. We draw two lines tangent (blue lines) to both circles and we extend to the right of the scene, the point in which both intersects each other is the location of the center of dilation. (representation is included in the image attached below)
In a nutshell, the center of dilation is a point to the right of both circles.
A scholar started with 3 and then subtracted a number which resulted in a
positive difference. What must be true about the number that was subtracted
Use examples to prove your answer.
Answer:
The number has to be less than 3.
Step-by-step explanation:
Some examples:
3 - (-5) = 3 + 5 = 8, a positive difference
3 - 0 = 3, a positive difference
3 - 1 = 2, a positive difference
3 - 3 = 0, NOT a positive difference. 3 is where the difference switches from positive to negative.
3 - 4 = -1, NOT a positive difference.
what are the coordinates of vertices of quadrilateral ABCD? use the coordinates to find the length of DA.
Need help ASAP ???
Answer:
The slope of AB is - 2,
Slope of BC is \frac{1}{2}
2
1
Slope of CD is -\frac{3}{4}−
4
3
Slope of AD is \frac{1}{2}
2
1
,
ABCD is trapezoid because one pair of opposite sides is parallel.
Step-by-step explanation:
Given vertices of quadrilateral ABCD,
A(−1, −1) , B(−3, 3) , C(1, 5) , and D(5, 2),
∵ Slope of a line passes through two points (x_1, y_1)(x
1
,y
1
) and (x_2, y_2)(x
2
,y
2
) is,
m=\frac{y_2-y_1}{xc_2-x_1}m=
xc
2
−x
1
y
2
−y
1
Thus, the slope of AB = \frac{3+1}{-3+1}=\frac{4}{-2}=-2
−3+1
3+1
=
−2
4
=−2
Slope of BC = \frac{5-3}{1+3}=\frac{2}{4}=\frac{1}{2}
1+3
5−3
=
4
2
=
2
1
Slope of CD = \frac{2-5}{5-1}=-\frac{3}{4}
5−1
2−5
=−
4
3
Slope of DA = \frac{-1-2}{-1-5}=\frac{-3}{-6}=\frac{1}{2}
−1−5
−1−2
=
−6
−3
=
2
1
Since, when two line segment having the same slope then they are parallel to each other.
∴ BC ║ DA
A quadrilateral only having two parallel sides is called trapezoid,
Hence, ABCD is a trapezoid.
Given the graph of quadrilateral ABCD, the coordinates of A, B, C and D are (-3,-4), (1,4), (4,0) and (1,-4) respectively. The length of DA using distance formula is 4 units.
The coordinates of the points in the graph is given in the form of (x,y) where x is the abscissa and y is the ordinate.
The distance formula is used to find the length of the line given the endpoints of the line.
Given endpoints as [tex](x_1, y_1) \ and \ (x_2, y_2)[/tex],
[tex]d = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
The coordinates of vertices are given by:
A = (-3,-4)
B = (1,4)
C = (4,0)
D = (1,-4)
The length of DA can be found by distance formula :
DA = [tex]\sqrt{(1+3)^2+(-4+4)^2} = \sqrt{(1+3)^2} = \sqrt{4^2} = 4[/tex]
Learn more about distance formula here
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#SPJ2
evaluate each expression below
Answer:
see below
Step-by-step explanation:
0/7 = 0
We can divide 0 by a non zero number
5/0 = undefined
We cannot divide by 0
9. The ticket at right has a perimeter of 42 cm.
a) Calculate the unknown side length.
A = 42 - 11 x 2 = 20 / 4 = 5
b) Olivia wishes to decorate the ticket by placing a
gold line along the slanted sides. How long is the line on each ticket?
A =
c) A bottle of gold ink will supply enough ink to draw 20 m of line. How many bottles of ink should be purchased if 200 tickets are to be decorated?
A =
Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.
I've added the image of the ticket as an attachment.
(a) The missing side length
From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.
So, we have:
[tex]Perimeter =2\times 11 + 4 \times L[/tex]
This gives
[tex]2\times11 + 4 \times L = 42[/tex]
[tex]22 + 4 \times L = 42[/tex]
Collect like terms
[tex]4 \times L = 42-22[/tex]
[tex]4 \times L = 20[/tex]
Divide both sides by 4
[tex]L =5cm[/tex]
(b) The length of the gold lines
There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).
So, the length of the gold line is:
[tex]Gold = 4 \times L[/tex]
[tex]Gold = 4 \times 5cm[/tex]
[tex]Gold = 20cm[/tex]
(c) The number of gold ink bottles.
[tex]n = 200[/tex] --- number of tickets
The length of all gold line in the 200 tickets is:
[tex]Length = 200 \times Gold[/tex]
[tex]Length = 200 \times 20cm[/tex]
[tex]Length = 4000 cm[/tex]
[tex]Length = 4000 \times 0.01m[/tex] ---- convert to meters
[tex]Length = 40m[/tex]
Given that:
[tex]Bottle = 20m[/tex] --- 1 bottle for 20 m
The number of bottles (n) is:
[tex]n = \frac{Length}{Bottles}[/tex]
[tex]n = \frac{40m}{20m}[/tex]
[tex]n = 2[/tex]
Hence, 2 bottles of gold ink are enough.
Read more about perimeters at:
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18. fine two consecutive odd integers whose sum is 36.
Answer:
17 and 19
Step-by-step explanation:
Let n denote the first odd integer.
If the two integers are consecutive and odd, then the second number is n+2.
Hence, n+n+2=36
=2n=34
Divide both sides by 2
=n=17
Therefore, the numbers are 17 and 19.
help me guys! 50 points!
Answer:
The volume of the irregular figure would be 144 [tex]cm^3[/tex].
Step-by-step explanation:
If you wish to make the process of calculating the volume easier, you can picture the irregular figure as two rectangular prisms: the large one on the bottom, and the smaller one appearing to protrude from the prism below it. Using this method, you only need to find the volumes of the two rectangular prisms and add the values together to get the volume for the irregular figure. The formula used to find the volume of a rectangular prism is [tex]l*w*h[/tex], where [tex]l[/tex], [tex]w[/tex], and [tex]h[/tex], represents the length, width, and height of the rectangular prism respectively. Using the formula above, the volume of the larger rectangular prism would be 12 * 3 * 3 = 12 * 9 = 108 [tex]cm^3[/tex], and the volume of the smaller rectangular prism would be 4 * 3 * 3 = 12 * 3 = 36 [tex]cm^3[/tex]. So the volume of the entire irregular figure would be 108 + 36 = 144 [tex]cm^3[/tex].
Answer:
144 cm^3
Step-by-step explanation:
Large rectangle:
12 × 3 × 3 = 36 × 3 = 108
Small rectangle:
7 - 3 = 4
4 × 3 × 3 = 12 × 3 = 36
Both:
36 + 108 = 144
Hope this helped.
10 = z + 6 (show work)
Answer:
4
Step-by-step explanation:
10=z+6
or, z+6=10
or, z=10-6
or,z=4
May this help you
LENGTH OF ARCS. URGENT.
Since the angle of the arc is 90°, we'll plug that in for theta. We're finding the length of the arc, so we'll use the circumference formula.
solve for x pls help
Answer:
x=50
Step-by-step explanation:
The Intersecting Secant-Tangent Theorem states that if a secant and tangent line intersect outside of a circle, then
(length of the tangent line)² = (length of secant line from outside the circle to touching it) * (part of secant that is a chord). In this example, we can say that
30² = 18 * x
900 = 18 * x
divide both sides by 18 to isolate x
x=50
A book sold 31,500 copies in its first month of release. Suppose this represents 8.9% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number.
Answer:
35,393,258
Step-by-step explanation
[tex]\frac{31,500}{x} =\frac{0.089}{100}[/tex]
[tex]0.089x=3,150,000[/tex]
[tex]x= 35,393,258.427[/tex]
Rounded to the nearest whole number, that is 35,393,258.
Simplify each of the following, giving your answers with positive indices. f⁴÷f³×f
Answer:
The answer
f^2
Step-by-step explanation:
So first we write down the expression
f^4/f^3 x f
now we follow the BODMAS
B - Brackets
O - Power
D - Division
M - Multiplication
A - Addition
S - Subraction
________________________________________
So this in equation (f^4/f^3 x f) we have to first divide. So in algebra when dividing, we have subtract the number.
Here
f^4-3 = f
so now we are left
f x f
when you times sometimes by itself we call it squared so you write it as
= f^2
worth 10pts can someone help?
Answer:
y = -x+2
Step-by-step explanation:
The y intercept is 2
The slope is found by using 2 point
I picked (0,2) and (2,0)
m = ( y2-y1)/(x2-x1)
= ( 0-2)/(2-0)
= -2/2 = -1
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -1x+2
y = -x+2
Answer ASAP
Given that the point X(3, -2) is rotated 90° counterclockwise about the point (-1, 4).
What are the coordinates of X', the image of X? (1 point) *
1) X'(5,8)
2) X'(-7, 8)
3) X'(4,1)
4) X'(-2, -3)
Answer:
4) x -2,-3 hope it helps to you
factorise [tex]x^{2} + 11x[/tex]
Answer:
x(x+11)
Step-by-step explanation:
x^2+11x
Factor out x
x*x+11x
x(x+11)
How much of a circle does a 100-degree angle turn through?
A.1
B.100/180
C.50/360
D.100/360
Answer:
100/360
Step-by-step explanation:
A circle is 360 degrees
100/360
10/36
5/18
Find the missing side lengths. Leave your answers as radicals in the simplest form.
Answer:
x = 28, y = 14Step-by-step explanation:
Use the property of 30°-60°-90° right triangle.
The ratio of sides:
a : b : c = 1 : √3 : 2Compare with the given:
y : 14√3 : x = 1 : √3 : 2y = 14√3 / √3 = 14x = 2*14 = 28Apply the property of 30-90-60 angle
a:b:c=1:√3:2So
y=14√3/√3=14x=2(y)=2(14)=28Imagine you have a job where you earn $700 each week after taxes. Your monthly living expenses include $725 for rent, $125 for utilities, $120 for cable/internet, $35 for cellphone, and $48 for bus fare. You also have $1,100 in credit card debt that requires a minimum monthly payment of $78. You have also been keeping track of your expenses for several months by writing down everything you purchase. You found that you spend around $600 on groceries and $225 on dining out and entertainment. What is your monthly income?
The monthly income is $844.
Given:
Weekly earning after taxes is $700Monthly rent is $725Monthly expense for utilities is $125Monthly expense for cable/internet is $120Monthly expense for cellphone is $35Monthly expense for bus fare is $48Minimum monthly payment of credit card debt is $78Monthly expense for groceries is $600Monthly expense for dining out and entertainment is $225To find: The monthly income
The monthly income refers to the amount of money left over each month after paying all expenses.
Evaluating, we have,
The total monthly expense = $([tex]725 + 125 + 120 + 35 + 48 + 78 + 600 + 225[/tex])
That is, the total monthly expense is $1956.
It is given that weekly earning after taxes is $700. Since a month contains 4 weeks, we can say that monthly earning after taxes is $([tex]700 \times 4[/tex]), that is, $2800.
Then, monthly income is given by the difference between the monthly earnings and the monthly expenses. So, monthly income is $([tex]2800-1956[/tex]), that is, $844.
The monthly income is $844.
Learn more about income and expenses here:
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A cyclist leaves his training base for a morning workout, riding at the rate of 12 mph. One hour later, her support staff leaves the base in a car going 30 mph in the same direction. How long will it take the support staff to catch up with the cyclist
Answer:46
Step-by-step explanation:
Two times the difference of a number and
nine is thirty-six.
Translate into an equation
Twice means muliply by 2
The difference of a number and 7 means subtract a number/variable and 7
Is equal to 9 means =9
2(X - 7) = 9
Answer this please and the first person to do it will get Branilest !! Don’t forget to explain
Answer:
[tex]3g + 9g = - 48 \\ 12g = - 48 \\ g = - \frac{48}{12} \\ g = - 4 \\ \\ - 4m - 6m - 30 = - 80 \\ - 4m - 6m = - 80 + 30 \\ - 10m = - 110 \\ m = \frac{ - 110}{ - 10} \\ m = 11 \\ \\ 12 = - 8n - 24 - 4n \\ 12 + 24 = - 8n - 4n \\ 36 = - 12n \\ n = \frac{36}{ - 12} \\ n = - 3 \\ \\ 5y + 2y + \frac{1}{2} = - \frac{1}{2 } \\ 5y + 2y = - \frac{1}{2} - \frac{1}{2} \\ 7y = - 1 \\ y = - \frac{1}{7} \\ \\ 22x + 0.25 - 16x = 0.85 \\ 22x - 16x = 0.85 - 0.25 \\ 6x = 0.6 \\ x = \frac{0.6}{6} \\ x = 0.1 \\ \\ 17k + 6k + 11 = 80 \\ 17k + 6k = 80 - 11 \\ 23k = 69 \\ k = 3[/tex]
13. please help with this
Answer:
Looking at the question and goin step by step
we get to know that equation formed wud be ->
product of nine and a number - 9*x = 9x
added to 6 => 9x+6
gives us 24
so
9x + 6 = 24
now 9x = 18 and x = 18/9 = 2
and now keeping x value = 9 *(2)+6 we get 18+6 = 24
so lhs = rhs = 24
9x+6=24 option a
Which is the graph of f(x)=x-1/x2-x-6
Answer:
answer of this question is A
What number must be subtracted from 25 for the
difference to be 22? Explain your answer. Include a
number line in your explanation.
Answer: 3
Step-by-step explanation:
When you subtract 25 from 22 you get 3 and when you subtract 3 from 25 you 22.
List the element of D= the set of prime numbers from 1 to 16
Answer:
ım not speak english because i'm turkish sorry
Complete the solution of the equation. Find the
value of y when x equals 17.
-X + y = -27
Enter the correct answer.
000
DONE
Clear all
#00
11?
Answer:
y = -10
Step-by-step explanation:
When x = 17, the equation be -17 + y = -27 when you plug in 17 for x
Then, add 17 to both sides to get y = -10
Answer: " y = -10 . "
___________________
Step-by-step explanation:
___________________
The question:
Find the value of "y" when "x" equals 17.
Given the equation:
- x + y = -27 ;
___________________
We plug in the given value: "17" ; for "x" ; and solve for "y" :
- 17 + y = -27 ;
_____________________
↔ y + (-17) = -27 ;
Rewrite as:
y − 17 = -27 ; {since: "adding a negative value" is the same
as "subtracting a positive value."}.
_____________________
Now, we add "17" to each side of the equation;
to isolate "y" on one side of the equation; and to solve for "y" :
y − 17 + 17 = -27 + 17 ;
to get:
y = - 10 .
_____________________
Hope this is helpful to you.
Best wishes to you in your academic pursuits—
and within the "Brainly" community!
_____________________
Vertices name in triangle A B C
Answer:
The answer is B.
I think I answered the wrong answer.
I really need these answered!
Answer:
Step-by-step explanation:
#1) [tex]\arcsin \left(0.64958\right)=0.70703\dots \quad \begin{pmatrix}\mathrm{Degrees:}&40.51^{\circ \:}\end{pmatrix}[/tex]
∡C =62.49
[tex]\frac{\left(\sin \left(27^{\circ \:}\right)\right)}{3}=\frac{\sin \left(54^{\circ \:}\right)}{x}\quad :\quad x=\frac{3\left(\sqrt{5}+1\right)}{\sin \left(27^{\circ \:}\right)\cdot \:4}\quad \left(\mathrm{Decimal}:\quad x=5.34603\dots \right)[/tex]
