Answer:
[tex]16x^{2}+44x+61[/tex]
Step-by-step explanation:
g(f(x)) means that you substitute f(x) as x in g(x)
[tex]2(2x+7)^{2}-(6)(2x+7)+5[/tex]
expand
(2x+7)(2x+7)=
4x^2+28x+49
(2)(2x+7)(2x+7)=16x^2+56x+98
16x^2+56x+98-12x-42+5
16x^2+44x+61
3
JK, KL, and IJ are all tangent to o (not drawn to scale). JA = 8, AL = 11, and
CK = 10. Find the perimeter of AJKL.
Answer:
[tex]P = 58[/tex]
Step-by-step explanation:
The image if the circle and triangle can be found online
Given
[tex]JA = 8[/tex]
[tex]AL = 8[/tex]
[tex]CK = 10[/tex]
Required
The perimeter of JKL
Since the mid-points of the tangents are A, B and C respectively.
[tex]JK = JB + BK[/tex]
Where
[tex]JB = JA = 8[/tex]
[tex]BK = CK = 10[/tex]
So:
[tex]JK =8+10 =18[/tex]
[tex]JL = JA + AL[/tex]
[tex]JL = 8+11 = 19[/tex]
[tex]KL = CL + CK[/tex]
Where
[tex]CL =AL = 11[/tex]
So:
[tex]KL = 11+10 = 21[/tex]
So, the perimeter (P) is:
[tex]P = JK+ KL +JL[/tex]
[tex]P = 18 + 19 + 21[/tex]
[tex]P = 58[/tex]
PLEASE HELP
How many different outcomes are possible when 10 people race, assuming no one can tie?
The number of the outcomes will be 10 if there is not any tie.
What is the combination?
The arrangement of the different things or numbers in a number of ways is called the combination.
Here we need to find the outcomes of the winning of 10 people the combination will be:-
[tex]^{10} C _1=\dfrac{10!}{(10-1)!}=\dfrac{10!}{9!}\\\\\\^{10} C _1 = 10[/tex]
Hence the number of the outcomes will be 10 if there is not any tie.
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The inequality – x2 - 6 <0 has
Answer:
X es igual a 3
Step-by-step explanation:
x2 - 6 = 0
(3)2 - 6 = 0
What percent of all students are middle schools
POSSIBLE POLYGONS Determine if it is possible for a regular polygon to have an interior angle with the given angle measure. Explain your reasoning a. 165 b. 171 c. 75 d. 40
Answer:
yes for all 4.
Step-by-step explanation:
I am not sure I see the whole information.
but if the question truly is simply, whether a polygon can have an internal angle of 165 or 171 or 75 or 40 degrees, then the answer is a resounding yes to all 4.
the simplest polygon is a triangle.
the sum of all angles in a triangle is always 180 degrees.
so, any angle smaller than 180 degrees is a possible internal angle in a triangle (and therefore in polygons in general), because the difference to 180 can then be split into 2 angles (e.g. half/half).
so, if one angle is 165 degrees, then the other two angles have to have 15 degrees together (e.g. 10 and 5, or 7 and 8, or 2 and 13, or ...). they will be narrow angles, but they are still angles.
similar for 171 degrees. now the other two angles have to have only 9 degrees together. like 5 and 4.
for 75 degrees the other two angles must have 180-75 = 105 degrees together. like 20 and 85.
for 40 degrees the other two angles must have 180-40 = 140 degrees together. like 90 and 50.
SECTION:B NUMBER PATTERNS
johnny's tile shop has a newly disigned tile. It can be odered in different sizes. size 1 has one white tile in the middle and is surrounded by eight black tiles ; size 2 has four white tiles in the middle and surrounded by twelve black tiles.
draw sizes 3,4 and 5
Answer:
Step-by-step explanation:
Well I am not sure whether to draw it because there are no options of drawing
The requried Tiles of sizes 3, 4, and 5 have been shown in the image.
What is the matrix?A matrix is a collection of numbers that are arranged in rows and columns to form a rectangular array. The numbers are referred to as matrix elements or entries. Matrices are widely used in engineering, physics, economics, and statistics, as well as in many disciplines of mathematics.
Here,
To draw the designs for sizes 3, 4, and 5 of Johnny's newly designed tile, we need to follow the same pattern as sizes 1 and 2.
Size 3 has a 7x7 grid of tiles with nine white tiles in the center and 16 black tiles around them,
Size 4 has a 9x9 grid of tiles with 16 white tiles in the center and 20 black tiles around them.
Size 5 has an 11x11 grid of tiles with 25 white tiles in the center and 28 black tiles around them.
Thus, the requried Tiles of sizes 3, 4, and 5 have been shown in the image.
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Enter the equation of the line in slope-intercept form.
Slope is -5, and (7,4) is on the line.
The equation of the line is
Answer:
[tex]y=-5x+39[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)
1) Plug in the slope (m)
[tex]y=mx+b[/tex]
Plug in the slope -5
[tex]y=-5x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-5x+b[/tex]
Plug in the given point (7,4) and solve for b
[tex]4=-5(7)+b\\4=-35+b[/tex]
Add 35 to both sides to isolate b
[tex]4+35=-35+b+35\\39=b[/tex]
Therefore, the y-intercept is 39. Plug this back into [tex]y=-5x+b[/tex]:
[tex]y=-5x+39[/tex]
I hope this helps!
Help for both??? If you can
Answer:
first : 1808.64 [tex]in^{2}[/tex]
second : 48
Step-by-step explanation:
Area = [tex]\pi[/tex][tex]r^{2}[/tex]
A = [tex]24^{2}[/tex] x 3.14
second:
A = [tex]4^{2}[/tex] x 3
A= 16 x 3
A = 48
At Factory Y, a worker's wages for a 40-hour week is $200. She is paid 10% of her regular weekly wages for every hour that she works overtime. At the end of a certain week she received $380. Calculate the number of hours of overtime that she worked.
Answer:
She worked 18 hours of overtime.
Step-by-step explanation:
If she works 40 hours per week and gets $200, subtract $380 - $200 = $180.
If you multiply $180 by 0.1 (which is 10% converted to a decimal), you get 18 which is your final answer.
I WILL GIVE BRAINIEST JUST PLEASE ANSWER THIS IM ON A TEST ;-;
Answer:
a)Fourth coordinate (- 4 , 1 )
b)Dimension : 6 unit by 3 unit
c)Area = 18 square units
Step-by-step explanation:
Given coordinates A = ( 2 , 1) , B = ( 2 , 4 ) , C= ( -4 , 4)
Find D.
Let D = (x , y)
For a rectangle, mid point of diagonal are same.
[tex]Mid - point \ of \ AC = ( \frac{2-4}{2}, \frac{4+1}{2}) = (-1, 2.5)\\\\Mid - point \ of \ BD = ( \frac{x+2}{2}, \frac{y+4}{2} )[/tex]
Since mid-points are same. Equate :
[tex]\frac{x+2}{2} = -1\\\\x+2 = -2\\\\x = -4[/tex]
[tex]\frac{y+4}{2} = 2.5\\\\y + 4 = 5\\\\y = 1[/tex]
a)
Therefore, D = ( -4, 1)
Since parallel sides of a rectangle are the same.
We will find the length of the sides using distance formula.
Distance between ( 2, 1 ) and ( 2, 4)
[tex]Distance_{AB} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} } =\sqrt{(2-2)^2 + (4-1)^2 } = \sqrt{9} = 3[/tex]
AB = 3
Distance between ( 2 , 4 ) and ( -4 , 4)
[tex]Distance_{BC} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} } =\sqrt{(2--4)^2 + (4-4)^2 } = \sqrt{36} = 6[/tex]
BC= 6
CD is parallel to AB , therefore CD = 3
AD is parallel to BC, therefore AD = 6
b) Dimensions : length = 6 , breadth = 3
c) Area = Length x Breadth
= 6 x 3
= 18 square units
2x+3y=2
y = 1/2x + 3
What is the solution to the system of equations?
(-2,2)
(0,0.67
(0,3)
(1,0
Answer:(-2,2)
Step-by-step explanation:
2x+3(1/2x+3)=2
⇒7/2x=-7
÷7⇒1/2x=-1
×2⇒x=-2
x=-2 into the equation
⇒2×(-2)+3y=2
⇒3y=6
⇒y=2
Answer:
(-2 , 2)
Step-by-step explanation:
2x + 3y = 2 ---------------(I)
y = (1/2)x + 3 --------------(II)
Substitute y value in equation (I)
[tex]2x + 3*[ \frac{1}{2}x + 3] = 2\\\\2x + 3*\frac{1}{2}x+3*3=2\\\\2x+ \frac{3}{2}x+9=2\\\\2x + \frac{3}{2}x = 2-9\\\\2x + \frac{3}{2}x = -7 \\[/tex]
Multiply the whole equation by 2
[tex]2*2x + 2* \frac{3}{2}x = -7 *2\\\\4x + 3x = -14[/tex]
7x = -14
x = -14/7
x = -2
Plugin x = -2 in equation (I)
2*(-2) + 3y= 2
-4 + 3y = 2
Add 4 to both sides
3y = 2+4
3y = 6
Divide both sides by 3
y = 6/3
y = 2
Hal earns a B on 75% of his tests. He divides a spinner into 12 equal spaces to model the grades he earns on his tests, with nine of the spaces
representing a B. Which statement about his model is true?
OA. His model cannot be improved.
ОВ.
OC.
His model can be improved the most by dividing the spinner into 15 equal spaces.
His model can be improved the most by using every third space on the spinner to represent a B.
His model can be improved the most by using eight of the spaces to represent a B.
OD
Reset
Next
The true statement is His model can be improved the most by dividing the spinner into 15 equal spaces.
The correct option is (B)
What is data?
As per the situation, he divided the spinner in 12 parts but it would be to score more if he divide the spinner in 15 parts in his b.
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En un océano, hay 3 Islas, cada isla representa un Monomio, si el grado absoluto de cada isla lo representa la cantidad de persona que hay en cada isla, calcular el grado absoluto del océano. En la Primera isla hay 10 personas, en la Segunda isla hay 25 personas y en la Tercera isla hay 8 personas. Nota: Un océano es el polinomio y cada isla es un monomio que está incluido dentro del polinomio.
Answer:
25
Step-by-step explanation:
Un polinomio de grado n se escribe como:
P(x) = aₙ*x^n + ... + a₁*x + a₀*x^0
Donde n es el exponente de mayor del polinomio, y decimos que el grado absoluto de este polinomio es n.
En este caso sabemos que tenemos 3 islas, y cada una de ellas representa un monomio ( un monomio es cada uno de los términos de un polinomio).
Sabemos que el grado de cada isla depende de la cantidad de gente que vive en la isla.
Tenemos una con 10 personas, entonces tendremos un término con un exponente igual a 10.
Tenemos una isla con 25 personas, entonces tendremos un término con un exponente igual a 25.
Tenemos una isla con 8 personas, entonces tendremos un término con un exponente igual a 8.
Recordando que el grado absoluto del polinomio es igual al mayor exponente del polinomio, acá podemos ver que el mayor exponente es 25.
Entonces el grado absoluto del polinomio será 25.
Which list of numbers can be described by the following rule?
A. 33,49,67
B.65,49,33
C.33,49,65
D.65,48,33
Explanation:
first term = 33
second term = first term + 16 = 33+16 = 49
third term = second term + 16 = 49+16 = 65
We're adding 16 to each term to get the next term.
Answer:
c is correct
mark as brainiest please
Use the elimination method to solve the system of equations. Choose the correct ordered pair
Answer:
Answer is B
Step-by-step explanation:
[tex]12x - y = 25 \\ 9x + y = 17 \\ x = \frac{17 - y}{9} \\ 12( \frac{17 - y}{9} ) - y = 25 \\ [/tex]
[tex]\frac{204}{9} - \frac{12}{9} y - y = 25 \\ \frac{204}{9} - \frac{21y}{9} = 25 \\ - \frac{21y}{9} = 25 - \frac{204}{9} \\ - \frac{21y}{9} = 2.33 \\ - 21y = 20.997 \\ y = - 0.99[/tex]
[tex]y = - 1 \\ x = \frac{17 - y}{9} \\ x = \frac{17 - - 1}{9} = \frac{18}{9} \\ x = 2[/tex]
Jose wants to find the perimeter of triangle ABC. He uses the distance formula to determine the length of AC. Finish Jose’s calculations to find the length of AC.
What is the perimeter of triangle ABC? Round the answer to the nearest tenth, if necessary.
12.0 units
12.4 units
15.0 units
15.4 units
Answer:
15.4 units
Step-by-step explanation:
sqrt(5²+4²) = sqrt(41) = 6.4
the other two legs are 5 and 4
so perimeter
= 4+5+6.4 = 15.4 units
What is the DMS measure of an angle that is 3.7 radians?
A. 11° 37' 26"
B. 0° 3' 52.5"
c. 211° 59' 39.6"
D. 3° 42' 0"
Find the missing side
Answer:
x=21
Step-by-step explanation:
they are corresponding to each other
A plane and a line not in that plane which are parallel to the same line, are parallel to each other. Always, sometimes, or never
Answer:
a line and a plan are considered parallel if they have no points in common if two parallel planes are cut by a third plane then the lines of intersection are parallel
a. 145
b.35
c.135
d.45
Answer:
a.) 145°
Step-by-step explanation:
First, we need to understand that ∠5 = ∠4 because they are alternate interior angles, therefore, ∠5 = 35°. Then since ∠5 and ∠6 are supplementary angles, we know that ∠5 + ∠6 = 180°, therefore ∠6 = 180° - ∠5 = 180° - 35° = 145°. Now we need to understand that ∠6 and ∠7 are vertical angles, therefore they are equal to each other, so now we know that the right answer is a.) ∠7 = 145°.
If a line has a slope of 3, what is the slope of a line perpendicular to it?
Answer:
- [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex]
Here m = 3 , then
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{3}[/tex]
Which theorem is not a valid theorem to show that two triangles are congruent? Which theorem is not a valid theorem to show that two triangles are congruent?
Answer:
SSA theorem
Step-by-step explanation:
Given
(a) SSA (b) ASA (c) SAS (d) SSS
Required
Which cannot be used to prove congruence of triangles
In proving the congruence of two or more triangles, the following postulates or theorem are valid and can be used:
ASA, SAS, SSS
The SSA theorem/postulate relies on other postulates and as such, it does not prove congruence on its own.
Jeremy uses 2 feet 3 inches of board for each birdhouse he builds. How many inches of board does he need to make 6 birdhouses?
Answer:
134inches
Step-by-step explanation:
Convert 2feet to inches
1foot= 12 inches
2feet= 12x2inches
=24inches
24inches is to 1 birdhouse
24inches x 6 equals six birdhouses
134inches
Answer:
He will need 162 inches
Step-by-step explanation:
6×2ft is 12 feet. Convert ft into inches for every 1 foot you have 12 inches. A total of 144in. Now multiply 6×3in which equals 18in. Add 144+18=162
which is the value of x in the equation-3/4 = x/24 A. -32 B. -18 C. 18 D. 32
Answer:
-18 =x
Step-by-step explanation:
-3/4 = x/24
Using cross products
-3*24 = 4*x
-72 = 4x
Divide each side by 4
-72/4 = 4x/4
-18 =x
Answer:
B. -18
Step-by-step explanation:
-3/4 = x / 24solve the proportion using cross multiplication
-3 × 24 = 4 × x-72 = 4xswap the side
4x = -72divide both side by 4
4x / 4 = -72/4x = - 18Find the value of x that makes ABCD a parallelogram?
answers
a.) x=30
b.) x=20
c.) x=40
d.) x=60
Answer:
D) x=60
The choose
Step-by-step explanation:
360 =70+70+50+50+2x
360=240+2x
360-240=2x
120=2x
x=120/2
x=60
What must be multiplied by 0.0426 to get 4260 ??
Answer:
[tex]{ \tt{let \: that \: value \: be \: { \bf{x}}}} \\ 0.0426 \times x = 4260 \\ { \tt{0.0426x = 4260}} \\ { \tt{x = \frac{4260}{0.0426} }} = 100000 \\ { \tt{answer = 100000}}[/tex]
0.0426 × y = 4260
y = 4260÷0.0426
y=100000
Which of the following represents the factorization of the polynomial below?
Answer:
option C
Step-by-step explanation:
2x^2 + 5x + 3
using middle term break method
we need two numbers which gives 6 when multiplied and 5 when added
2x^2 + (3 + 2)x + 3
2x^2 + 3x + 2x + 3
x(2x + 3) + 1(2x + 3)
(2x + 3)(x + 1)
complete the table
mark brainliest
Answer:
[tex]= \frac{333}{500}[/tex]
Step-by-step explanation:
66.6% = [tex]\frac{66.6}{100}= \frac{33.3}{50}= \frac{33.3*10}{50*10}\\\\\\[/tex]
[tex]= \frac{333}{500}[/tex]
what is seven million written as numeral?
Answer: 7,000,000
A million= six zeroes
Ones, tens, hundreds, thousands, ten-thousands, hundred-thousands, millions
Each place value represents an additional zero
measures of variability,i have realized that
Answer:
Measures of Variability: Range, Interquartile Range, Variance, and Standard Deviation. ... While a measure of central tendency describes the typical value, measures of variability define how far away the data points tend to fall from the center. We talk about variability in the context of a distribution of values.