Answer:
x2-20x+100
Step-by-step explanation:
You have to factor the expression in order to get your answer
Do this by expanding out the expression: (x-10)(x-10) Then factor by multiplying each of the components! Use the FOIL acronym to help you. FOIL stands for First, Outer, Inner, Last. Meaning multiply the first numbers of the expressions together, then the outers, then the inner two numbers, then the last two numbers of the expression.
Multiply x and x to get , multiply x and -10 to get -10x, multiply -10 and x to get -10x, multiply -10 and -10 to get 100. Add them all together: . Then combine like terms
The required trinomial in standard form is x²+20x+100.
Trinomial:Important information:
The expression is the [tex](x+10)^2[/tex].Using the formula [tex](a+b)^2=a^2+2ab+b^2[/tex], we get
[tex](x+10)^2=(x)^2+2(x)(10)+(10)^2[/tex]
[tex](x+10)^2=x^2+20x+100[/tex]
Therefore, the required trinomial in standard form is x²+20x+100.
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3. Let's tell and write the answers as quickly as possible
a) If x = 2y, then x + y in terms of y =
b) If x = 3y, then 2xy in terms of y
c) If a = 2b and b = 3, then a + b
= ...
d) If p = 3q and q = 2, then p-q
Answer:
3y 6y²94Step-by-step explanation:
a) If x = 2y, then x + y
In terms of y
2y + y
3y
b) If x = 3y, then 2xy
In terms of y
2(3y)(y)
6y²
c) If a = 2b and b = 3, then a + b
a + b
2b + b
2(3) + 3
9
d) If p = 3q and q = 2, then p-q
p-q
3q - q
2q
4
Solve for x.
10 m
42
Answer:
The measures of a pair of same-side exterior angles are 10w and 5v. ... Find the measure of angles 1-7 given that lines m and n are parallel and t is transversal. ... Solve for x. 120= 15x +5+ 22x +4. 120 = 37% +. 4. (X=3]. 6. Use the following figure, given that ... Find the measure of angle 1. m24 = 123, mZ1 = 2x, mZ2 = x +42.
Step-by-step explanation:
HELP ME PLEASE! I Don't UNDERSTAND!!
Answer:
4.123
Step-by-step explanation:
Answer: 4.12
"you should rlly get to know this"
btw ^2 means to the power to 2
Step-by-step explanation:
a^2 + b^2 = c^2
in this case, u don't have "a"
the slanted side is "c"
a^2 + 8^2 = 9^2
a^2 + 64 = 81
a^2 = 81 - 64
a^2 = 17
___
a = _/ 17
a = 4.12
Part D
Now group the terms in the expression in part C using the Associative Property.
Answer:
70 + (-30) + 2 + (-9) + 0.3 + (-0.1) = [70 + (-30)] + [2 + (-9)] + [0.3 + (-0.1)] explanation:
Exact answer
El lunes joe compró 10 tazas de café y 5 donas para su oficina a un costo total de 16.50 el martes compró 5 tazas de café y 10 donas por un costo total de 14.25 ¿cuánto costaba cada taza de café?
Answer:
Cada taza de café costaba 1.25
Step-by-step explanation:
Un sistema de ecuaciones lineales es un conjunto de ecuaciones lineales que tienen más de una incógnita. Es decir, un sistema de ecuaciones es un conjunto de dos o más ecuaciones con varias incógnitas.
Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.
En este caso, para definir el sistema de ecuaciones es necesario definir las variables:
x: precio de una taza de caféy: precio de una donaEntonces si el lunes Joe compró 10 tazas de café y 5 donas para su oficina a un costo total de 16.50, se puede plantear la ecuación: 10*x +5*y=16.50
Si el martes Joe compró 5 tazas de café y 10 donas por un costo total de 14.25, podes plantear la ecuación: 5*x + 10*y=14.25
Entonces el sistema de ecuaciones a resolver es:
[tex]\left \{ {{10*x+5*y=16.50} \atop {5*x+10*y=14.25}} \right.[/tex]
Se desea conocer el valor de cada taza de café, es decir, el valor de x. Para eso podes usar el método de sustitución, que consiste en despejar una de las incógnitas en una de las ecuaciones y sustituir su valor en la siguiente.
En este caso aislas el valor de y de la primer ecuación:
[tex]y=\frac{16.50-10*x}{5}[/tex]
Reemplazando en la segunda ecuación:
[tex]5*x+10*\frac{16.50-10*x}{5}=14.25[/tex]
y resolviendo obtenes:
[tex]5*x+\frac{10}{5}*(16.50-10*x)=14.25[/tex]
[tex]5*x+2*(16.50-10*x)=14.25[/tex]
5*x + 2*16.50 -2*10*x=14.25
5*x + 33 - 20*x=14.25
5*x - 20*x=14.25 - 33
(-15)*x= -18.75
x= (-18.75)÷(-15)
x= 1.25
Entonces, cada taza de café costaba 1.25
Kate had a sum of money,she spent 1/8 of the money on a skirt and the remaining amount on a handbag,the skirt cost $16,how much money did kate have at first?
Answer:
$18.28
Step-by-step explanation:
Step one:
given data
Kate had a sum of money,she spent 1/8 of the money on a skirt and the remaining amount on a handbag
let the total money be x
so mathematically
x-1/8*x= 16
solve for x
x-x/8= 16
8x-x/8= 16
7x/8=16
cross multiply
7x= 8*16
7x=128
divide both sides by 7
x=128/7
x=$18.28
−8 (1 + x) + 7x PLEASE HELP
Answer:
-8-x or -x-8 or x=-8
Step-by-step explanation:
Distribute the -8 to the (1+x)
-8-8x+7x
then add the -8x+7x
-8-x or -x-8
and if you want to solve for x
x=-8
Solve the inequality for u.
u-13 <-7
Answer: We have u-13 < -7, and we want to get u by itself. So add -13 to +13 to -7 And 13 -7 is 6. So U has to be less than 6 = U < 6
Step-by-step explanation:
Answer:
u < 6
Step-by-step explanation:
u - 13 < -7
Add 13 to both sides
u - 13 + 13 < -7 + 13
Simplify
u < 6
plz help in three mins
Answer: So let’s switch the denominater to 12s 5 x 2 is 10/12. 1/2 is 6/12. 3/4 is 9/12. So 10/12 + 6/12 + 9/12 = 25/12 or 2 1/12 Hope this helps you
Step-by-step explanation:
Answer:
25/12
Step-by-step explanation:
1. Find the common denominator (least common multiple)
12
2. Find each fraction with a denomntor of 12
5/6 to 10/12
1/2 to 6/12
3/4 to 9/12
3. Add all of it
25/12
1. The height of a storage container for an artwork is 3 feet more than 3 times its
width. The height of the container is 18 feet. The following equation can be used to
find w, the width of the container.
3w + 3 = 18
What is the width of the container?
A. 3 ft
B.5 ft
C. 7 ft
D. 57 ft
f(6)=4(6)+10. Find the value of f(6)
Answer:
34
Step-by-step explanation:
4-6+10=34
9. Sue earned $120 for 15 hours of work. Which equation represents the relationship between the hours
worked, x, and Sue's pay y
A y = 8x
By= 18x
C y = 120x
Dy = 9x
Answer: C = 120x
Have a nice day:
9514 1404 393
Answer:
A y = 8x
Step-by-step explanation:
We are given that y = 120 when x = 15, and we assume that pay is proportional to hours worked. That is ...
y = kx
k = y/x = 120/15 = 8
So, the relation between hours worked (x) and Sue's pay (y) is ...
y = 8x
5. Decide whether each equation is true for all, one, or no values of x.
a. 2x + 8 = -3.5x + 19
b. 9(x - 2) = 7x + 5
C. 3(3x + 2) – 2x = 7x + 6
The air force reports that the distribution of heights of male pilots is approximately normal, with a mean of 72.6 inches and a standard deviation of 2.7 inches. Part A: A male pilot whose height is 74.2 inches is at what percentile? Mathematically explain your reasoning and justify your work. (5 points) Part B: Air force fighter jets can accommodate heights of soldiers between 70 inches and 78 inches without compromising safety. Anyone with a height outside that interval cannot fly the fighter jets. Describe what this interval looks like if displayed visually. What percent of male pilots are unable to fly according to this standard? Show your work and mathematically justify your reasoning. (5 points)
Answer:
Step-by-step explanation:
Given that X - the distribution of heights of male pilots is approximately normal, with a mean of 72.6 inches and a standard deviation of 2.7 inches.
Height of male pilot = 74.2 inches
We have to find the percentile
X = 74.2
Corresponding Z score = 74.2-72.6 = 1.6
P(X<174.2) = P(Z<1.6) = 0.5-0.4452=0.0548=5.48%
i.e. only 5% are below him in height.
Thus the malepilot is in 5th percentile.
The courtyard of an apartment complex is represented by the vertices T(4, 1), U(30, 11), and V(17, 36). Each unit represents 1 meter. A bench is located at the centroid of the courtyard. Which ordered pair gives the coordinates of the centroid?
Answer:
[tex](x,y) = (17,16)[/tex]
Step-by-step explanation:
Given
[tex]T(x_1,y_1) = (4, 1)[/tex]
[tex]U(x_2,y_2) = (30, 11)[/tex]
[tex]V(x_3,y_3) = (17, 36)[/tex]
Required
Determine the coordinates of the centroid
The coordinate is calculated as:
[tex](x,y) = (\frac{1}{3}(x_1+x_2+x_3),\frac{1}{3}(y_1+y_2+y_3))[/tex]
Substitute values for x's and y's
[tex](x,y) = (\frac{1}{3}(4+30+17),\frac{1}{3}(1+11+36))[/tex]
[tex](x,y) = (\frac{1}{3}(51),\frac{1}{3}(48))[/tex]
[tex](x,y) = (\frac{51}{3},\frac{48}{3})[/tex]
[tex](x,y) = (17,16)[/tex]
Hence, the coordinates of the centroid is (17,16)
apply the distributive property to write an equivalent expression 21b+28c
Answer:
7(3b + 4c)
Step-by-step explanation: Find the GCF then factor it out from the expression.
PLEASE HELP ME!! 30 point will be given and brainliest.
question: which statements are NOT TRUE? select all that apply.
a. the slope of AC is equal to the slope BC.
b. the slope of AC is equal to the slope of BD
c. the slope of line t is equal to EC/AE
d. the slope of the line t is equal to AE/FD
Answer:
it it b
Step-by-step explanation:
In which direction is the moon revolving around the Earth?
A. Right
B. Up
C. Left
D. Down
Answer:
d
Step-by-step explanation:
HELP PLS QUICK ANYONEEEEEEEPSLSPSPSLSLSLS
The table shows the total number of U.S. participants in four high school sports over several school years. What was the percent decrease in basketball participants from 2013 2014 to 2014 2015?
The percent decrease in basketball participants from 2013 2014 to 2014 2015 is
(Round to the nearest tenth as needed.
Answer:
Baseball 482,740 36,011 7.5% 2.2% 2.3% 2.9%
Basketball 540,769 18,816 3.5% 1.0% 1.0% 1.4%
Cross Country 269,295 14,303 5.3% 1.8% 1.4% 2.1%
Football 1,006,013 73,712 7.3% 2.9% 1.9% 2.5%
Golf 143,200 8,485 5.9% 2.0% 1.6% 2.2%
Ice Hockey 35,283 4,323 12.3% 4.8% 0.6% 6.8%
Lacrosse 113,702 14,603 12.8% 3.1% 2.5% 7.3%
Soccer 459,077 25,499 5.6% 1.3% 1.5% 2.7%
Swimming 136,638 9,799 7.2% 2.8% 1.2% 3.2%
Tennis 159,314 7,785 4.9% 1.6% 1.0% 2.3%
Track & Field 605,354 28,914 4.8% 1.9% 1.2% 1.7%
Volleyball 63,563 2,355 3.7% 0.7% 0.7% 2.3%
Water Polo 22,475 1,072 4.8% 2.7% 0.8% 1.3%
Wrestling 247,441 7,300 3.0% 1.0% 0.8% 1.2%
Women
Basketball 399,067 16,509 4.1% 1.3% 1.2% 1.7%
Cross Country 219,345 15,624 7.1% 2.7% 1.7% 2.7%
Field Hockey 60,824 6,119 10.1% 2.9% 1.4% 5.8%
Golf 79,821 5,436 6.8% 2.8% 1.9% 2.1%
Ice Hockey 9,650 2,531 26.2% 8.9% 1.1% 16.2%
Lacrosse 99,750 12,452 12.5% 3.7% 2.6% 6.2%
Soccer 394,105 28,310 7.2% 2.4% 1.9% 2.9%
Softball 362,038 20,419 5.6% 1.8% 1.7% 2.2%
Swimming 173,088 12,980 7.5% 3.3% 1.2% 3.0%
Tennis 189,436 8,596 4.5% 1.5% 1.0% 2.0%
Track & Field 488,267 30,326 6.2% 2.8% 1.5% 1.9%
Volleyball 452,808 17,780 3.9% 1.2% 1.1% 1.6%
Water Polo 21,735 1,217 5.6% 3.3% 1.1% 1.2%
Step-by-step explanation:
The percentage decrease in basketball participation from 2013-2014 to 2014-2015 is 0.35%.
What is the Percentage?The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.
As per the given information in the question,
Number of basketball participants in 2013-2014 = 974,398
Number of basketball participants in 2014-2015 = 970,983
Then, the percentage decrease in the participants,
% decrease = (974,398 - 970,983)/ 974,398 × 100
% decrease = 0.35%.
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Let's find the slope of the following lines!
Answer:
The slope is [tex] \frac{3}{4} [/tex]
Step-by-step explanation:
Slope = [tex] \frac{rise}{run} [/tex]
(I heard you saying that u had more lol)
solve 10x-10g(4x-2)=1
Answer:
Below
Step-by-step explanation:
x=[tex]\frac{1-20g}{10(1-4g)}[/tex]
Answer:
using BODMAS=(4x-2)=(2x)
10x-10g(2x)=
10x=10+(2x)=
10x=20x
divide both sides by 10
10x/10=20x/10
x=20/10
x=2
There were 1 200 people in a
village. If 40% of them were adults.
how many children were there?
A. 480
B. 720
C.800
D 1 160
Answer:
A. 480
Step-by-step explanation:
ok so first you multiply 1200 by 40 percent
we gonna change 40 percent to a decimal which will be 0.40
then multiply which will get 480
Answer:
720 children
Step-by-step explanation:
40% were adults
So 60% were children
60% of 1200 is 720 children (0.60 x 1200)
If Cos 30=3/5 , then Sinx = 3/5 . Find x
Answer:
x = 60
mark me as Brainliest
Step-by-step explanation:
You cdn thank me in the comment
A card has p meters of lace edging wound on it. Nerys buys n lengths of edging, each x cm long. If Q meters of edging are left on the card, find a formula for Q in terms of P, n and x
Answer:
Q = P - n(x/100)
Step-by-step explanation:
P is the total number of lace edging, n is the number of times the length x is cut from P, and Q is the remnant of the reduction.
So the number of x length is subtracted from P and must be converted to meters (since it is in centimeters) to get Q. That is;
Q = P - n(x/100)
911+911+666+21−420−69 what this equal
Answer:
2020
Step-by-step explanation:
Answer:
2020
Step-by-step explanation:
Calculator
a circle with a 12 inch diameter is folded in half and then folded in half again to create a quarter circle. what is the perimeter of this shape? HELP ME PLEASE
Answer:
i think its 3
Step-by-step explanation:
because have of 12 is 6 and half of 6 is 3
Answer:
21.42 inStep-by-step explanation:
It will have a perimeter of:
r + r + 1/4C =2r + 1/2πr = 12 + 1/2*6*3.14 = 12 + 9.42 = 21.42 inyooo my ban is up!!!! 5+37=4-3x
Answer:
x = -38/3
Step-by-step explanation:
lol
Simplify 5 + 37 = 42
42 = 4 - 3x
Subtract 4 from both sides
42 - 4 = -3x
Simplify 42 - 4 = 38
38 = -3x
-38/3 = x
MAY I PLEASE HAVE BRAINLIEST!!???
2. What is the equation of the line with a y-intercept of (0,8) and a slope of
-2? *
A. y = 8x + 2
B. y = -8x-2
C. y = 2x + 8
D. y = -2x +8
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2 and c = 8, then
y = - 2x + 8 → C
Answer:
Step-by-step explanation:
Find the area of the shape below.
10 cm
27 cm
9 cm
24 cm
the area of shape below is 42
The area of the shape is 396 square cm.
What is a rectangle?A rectangle is one of the types of quadrilaterals in which all four angles are right angles or equal to 90 degrees. It is four-sided polygon in which the opposite sides are parallel and equal to each other.
For the given situation,
The diagram shows the polygon.
Let us consider the polygon as two rectangles as opposite sides are parallel and all the angles are right angle as shown below.
The rectangle ABCD has the dimensions length is 10 cm and breadth is 27 cm.
The rectangle DEFG has the dimensions length is 14 cm and breadth is 9 cm.
Thus the area of the polygon is the sum of areas of rectangle ABCD and DEFG.
The formula of area of rectangle, [tex]A =( length)(breadth)[/tex]
Then total area of the shape is
⇒ [tex](27)(10)+(14)(9)[/tex]
⇒ [tex]270+126[/tex]
⇒ [tex]396[/tex]
Hence we can conclude that the area of the shape is 396 square cm.
