Answer:
Hello,
remainder is 15/8
Step-by-step explanation:
[tex]\begin{array}{c|ccc|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&1&1&1\\x=\dfrac{1}{2} &&\dfrac{1}{2} &\dfrac{3}{4} &\dfrac{7}{8} \\---&---&---&---&---\\&1&\dfrac{3}{2}&\dfrac{7}{4}&\dfrac{15}{8}\\\end{array}\\\\\\x^3+x^2+x+1=(x-\dfrac{1}{2} )*(x^2+\dfrac{3}{2}x+\dfrac{7}{4}) +\dfrac{15}{8}[/tex]
Find the center and radius of the circle with equation (x+3)^2+(3+ 1)^2= 9. Then graph the circle.
Answer:
See graph
[tex](x +3)^{2}[/tex] + [tex](y + 1)^{2}[/tex] = 9
(-3 , -1) is the center.
[tex]\sqrt{9}[/tex] = 3 = radius
Step-by-step explanation:
[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex]
center (h,k)
radius = r
A) Determina el largo y el ancho de tres rectángulos de distintas formas que tienen el área de 24cm2.
Answer:
Para un rectángulo de largo L y ancho W, el área se define como:
A = L*W
Ahora sabemos que nuestro rectángulo tiene un área de 24cm^2
Entonces queremos encontrar 3 pares de valores L y W tal que:
L*W = 24cm
Esto es bastante trivial, podemos simplemente definir una de las dos variables, y así encontrar el valor de la otra.
Por ejemplo, si definimos L = 1cm
tenemos:
(1cm)*W = 24cm^2
W = (24cm^2)/(1cm) = 24cm
Entonces un posible rectángulo tiene un largo de 1cm y un ancho de 24cm
Si tomamos L = 3cm tenemos:
(3cm)*W = 24cm^2
W = (24cm^2)/(3cm) = 8cm
Un rectángulo con 8cm de ancho y 3cm de largo es otra opción.
Si tomamos L = 4cm tenemos:
(4cm)*W = 24cm^2
W = (24cm^2)/(4cm) = 6cm
Un rectángulo con 6cm de ancho y 4cm de largo también es un posible rectángulo.
Así, los 3 rectangulos que se piden pueden ser:
1) largo 1 cm, ancho 24cm
2) largo 3cm, ancho 8cm
3) largo 4cm, ancho 6cm
There are 5 more girls than boys in a class. The girls are 60 percent
a. How many pupils are in the class?
Answer:
25.
Step-by-step explanation:
Let the number of pupils be x, then:
there are 0.6x girls and 0.4x boys.
From the given information:
0.6x - 0.4x = 5
0.2x = 5
x = 5/0.2
= 50/2
= 25.
Consider the function given by the graph. What are
these values?
f(-2) =
f(0) =
f(4) =
Answer:
the values of it is the first one. meaning: f(-2)
Answer:
Step-by-step explanation:
2
3
-1
HELPPPPP ME OUUTTTTTTT!!!!
Answer:
20 degrees
Step-by-step explanation:
we can consider 33 to be the radius of a circle.
31 would then be the cos of the angle in that circle.
the regular cos function is defined for the standard circle with radius 1. so, that would be multiplied by 33 for this circle here.
31 = cos(?) × 33
cos(?) = 31/33 = 0.9393...
? = 20.05 ≈ 20 degrees
Factorise x²-5 please
[tex]\sf \: {x}^{2} - 5[/tex]
[tex]\sf \: Use \: the \: algebraic \: identity \\ \sf \: a {}^{2} - {b}^{2} = (a - b)(a + b)[/tex]
[tex]\sf \: Substitute \: the \: value \: of \: a \: and \: b \: in \: the \: identity.[/tex]
[tex]\sf \: a = \sqrt{x ^{2} } = x \\ \sf \: b = \sqrt{5} [/tex]
[tex]\sf \: the \: identity \: becomes \: [/tex]
[tex]\sf {x}^{2} - 5 \\ \sf = (x - \sqrt{5} )(x + \sqrt{5} ) \\ [/tex]
Answer ⟶ [tex]\boxed{\bf{(x - \sqrt{5} )(x + \sqrt{5} )}}[/tex]
Find the integer solution of the equation
a)5x+25=-3xy+8y^2
b)2y^2+x+y+1=x^2+2y^2+xy
Answer:
the answer is as follows:
Step-by-step explanation:
a)
The equation has the following integer solutions:
5*x+25=-3*xy+8*y^2
Number of solutions found: 3
x1=-31; y1=-10
x2=-7; y2=-2
x3=-5; y3=-0
b)
The equation has the following integer solutions:
2*y^2+x+y+1=x^2+2*y^2+xy
Number of solutions found: 2
x1=0; y1=-1
x2=2; y2=-1
Do not forget to give appriciation.
Find the missing length of the following trapezoid
Answer:
1) The length of [tex]DC[/tex] is 20.
2) The length of [tex]PS[/tex] is 17.
Step-by-step explanation:
1) If [tex]DR = RE[/tex] and [tex]CS = SB[/tex], then we can use the following proportionality ratio:
[tex]\frac{DE}{DR} = \frac{32 - x}{26 - x}[/tex] (1)
Where [tex]x[/tex] is the length of segment [tex]\overline{CD}[/tex].
If [tex]DE = 2\cdot DR[/tex], then the value of [tex]x[/tex] is:
[tex]2 = \frac{32-x}{26-x}[/tex]
[tex]52 - 2\cdot x = 32 - x[/tex]
[tex]20 = x[/tex]
The length of [tex]DC[/tex] is 20.
2) If [tex]QV = VP[/tex] and [tex]RW = WS[/tex], then we can use the following proportionality ratio:
[tex]\frac{QP}{QV} = \frac{x-7}{12-7}[/tex] (2)
Where [tex]x[/tex] is the length of segment [tex]\overline{PS}[/tex].
If [tex]QP = 2\cdot QV[/tex], then the value of [tex]x[/tex] is:
[tex]2 = \frac{x-7}{5}[/tex]
[tex]10 = x-7[/tex]
[tex]x = 17[/tex]
The length of [tex]PS[/tex] is 17.
Question 2 8 Find the coordinates of the points of intersection of the curve 1 and the line +9 [0]
Answer:
point 1 = (3, 6)
point 2 = (24, -15)
Step-by-step explanation:
8/x - 10/y = 1
x + y = 9
x = 9 - y
=>
8/(9-y) - 10/y = 1
8 - 10×(9-y)/y = 9 - y
-90/y + 10y/y = 1 - y
-90/y + 10 = 1 - y
-90 + 10y = y - y²
y² + 9y -90 = 0
the solution to a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case we use y instead of x.
a = 1
b = 9
c = -90
y = (-9 ± sqrt(81 - -360))/2 = (-9 ± sqrt(441))/2 =
= (-9 ± 21)/2
y1 = 12/2 = 6
y2 = -30/2 = -15
8/x - 10/6 = 1
8 - 10x/6 = x
8 - 5x/3 = x
24 - 5x = 3x
24 = 8x
x = 3
8/x - 10/-15 = 1
8/x + 2/3 = 1
8 + 2x/3 = x
24 +2x = 3x
24 = x
i am thinking of a number.l take away 5. the result is 14 . what number did i think
Step-by-step explanation:
First sentence
Let the number be X
second sentence
X-5
Third sentence
X-5=14
X=19
The number is 19
Hi there!
»»————- ★ ————-««
I believe your answer is:
19
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\text{"I am thinking of a number. l take away 5. The result is 14."}\\\\\text{5 taken away from 'said number' would be 14.}\\\\\boxed{n-5=14}\\\\\\\boxed{\text{Solving for 'n'...}} \\\\\rightarrow n - 5 + 5 = 14 + 5\\\\\rightarrow \boxed{n = 19}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
HELPPP MEEEE OUTTTTTT ITS URGENTTTTT!!!!
Answer:
(x-12)^2+(y-2)^2=4
Step-by-step explanation:
PLS help simple math properties ASAP needing 5 and 6 that’s all :)
This table shows information about two occupations.
SmartScore
out of 100 G
Carpenter
Carpenters use woodworking
equipment to construct building
frameworks and other structures out
of wood.
Interior designer
Interior designers determine
how interior spaces will
function, look, and be
furnished
0
Description
Bachelor's degree, with
coursework in interior design
Typical
High school diploma, but most
education
complete an apprenticeship
required
Median income $46,500 per year
$53,500 per year
In which occupation would you have a higher risk of getting an injury from a sharp object?
carpenter
interior designer
T
(0)
RE
yes it can be possible to do
What the additional information fill in the blanks
Answer:
QXV=WXV
Step-by-step explanation:
geometry question- SOLVE FOR X.
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
Step 1: Solve for x
Since there are two parallel lines and one perpendicular line through the middle, that means that all of the angles are equal. Therefore, we can make an equation 21x + 6 = 90 and solve for x
[tex]21x + 6 - 6 = 90 - 6[/tex]
[tex]21x / 21 = 84 / 21[/tex]
[tex]x = 4[/tex]
Answer: [tex]x = 4[/tex]
A lifting tackle consist of 2 pulley b lock containing 2 and 3 pulley respectively. How mu;st this tackle be use to bbtain the greatest VR? What is the value of this VR?
Answer:
[tex]VR=5[/tex]
Step-by-step explanation:
From the question we are told that:
No of Pulleys =5
Generally Greatest VR is achieved if it has no friction to the pulleys
Therefore
[tex]W=5P[/tex]
Generally the equation for Efficiency is mathematically given by
[tex]n=\frac{MA}{VR}[/tex]
Where
MA=mechanical advantage
Therefore at Greatest VR
[tex]n=100 \%[/tex]
[tex]MA=VR[/tex]
[tex]VR=\frac{W}{P}[/tex]
[tex]\frac{W}{P}=5[/tex]
[tex]VR=5[/tex]
plzz helpppppp222!!!!!!!!!!!!
Answer:
Step-by-step explanation:
The rectangle has 4 corners of 90 degrees.
Here a rectangle is divided into two right triangles. In right-angled triangles, the opposite side at a 30-degree angle is half a chord...I replace x instead of length.. So x / 2 = 4--->x:8
The perimeter of a rectangle is equal to (length + width) × 2--->(8+4)×2=24m^2
Answer:
[tex]\text{(D) }16\sqrt{3}\:\mathrm{m^2}[/tex]
Step-by-step explanation:
In all 30-60-90 triangles, the sides are in ratio [tex]x:2x:x\sqrt{3}[/tex], where [tex]x[/tex] is the side opposite to the 30 degree angle and [tex]2x[/tex] is the hypotenuse of the triangle.
The rectangle shown forms two 30-60-90 triangles. The side labelled 4 meters is opposite to the 30 degree angle. Therefore, the side on top must be [tex]x\sqrt{3}\text{ for }x=4[/tex]. Let the length of the top base be [tex]w[/tex]:
[tex]w=4\sqrt{3}[/tex]
The area of a rectangle with length [tex]l[/tex] and width [tex]w[/tex] is given by [tex]A=lw[/tex]. Thus, the area of the rectangle is:
[tex]A=4\cdot 4\sqrt{3},\\A=\boxed{16\sqrt{3}\:\mathrm{m^2}}[/tex]
Please I need help who want to earn 13 points ..
Answer:
Triangle ISK
Step-by-step explanation:
Answer:
Triangle ISK
Step-by-step explanation:
if the angles and sides of one triangle are equal to the corresponding sides and angles of the other triangle, they are congruent.
∠Q = ∠I
∠R = ∠S
∠S = ∠K
Please please please help!!!!
======================================================
Explanation:
The rule we use is
a^b * a^c = a^(b + c)
This says that if we multiply exponential expressions with the same base, then we add the exponents. We keep the base the same the entire time.
For example, 2^3*2^4 = 2^(3+4) = 2^7
--------------
For this problem, we'll say,
5^(56)*5^(22)*5^(-96)
5^( 56+22+(-96) )
5^(-18)
Be sure that you use parenthesis so that you tell your teacher that all of the -18 is in the exponent. Saying 5^-18 could lead to ambiguity.
Answer:
sorry it he question isn't clear
Can anyone assist me with this problem ?
Answer,
C
Step-by-step explanation:
I had the same question 2 days ago
Evaluate this expression when a=9
Answer:
63
Step-by-step explanation:
a=9
7a
7(9)
63
Decide whether the relation is a function or not.
{(-3, 5), (-2, 5), (0, 5), (1, 5), (2, 5)}
Answer:
[see below]
Step-by-step explanation:
A functions input is assigned to exactly one output. This means that the inputs must not repeat.
{(-3, 5), (-2, 5), (0, 5), (1, 5), (2, 5)}
Since no inputs repeat, the relation given is a function.
Hope this helps.
Answer:
Yes, it's a function.
Step-by-step explanation:
X or input no repeated.
please help to solve my doubt....tomarrow math exam
Dividing polynomail
[tex](4 - 10x - {6x}^{2} ) \div (4 + 2x)[/tex]
Answer:
Step-by-step explanation:
What’s the answers ?
hope this helps! feel free to clarify if unsure
Which pair shows equivalent expressions? 12x+10=-2 (x-5) -2(x+5)=2x-10 -2x-10=-2(x+5) -2(x-5)=-2x-10
Answer:
-2x-10=-2(x+5)
Step-by-step explanation:
Just multiply and find the pair that matches which happens to be the 3rd pair. you're welcome
1) Jill sold half of her comic books and then
bought sixteen more. She now has 36. With
how many did she begin?
2) For a field trip 4 students rode in cars and
the rest filled nine buses. How many
students were in each bus if 472 students
were on the trip?
1.
2.
Answer:
1. 40
2. 52
Step-by-step explanation: 1. Subtract 16 from 36 then multiply by 2
2. Subtract 4 from 472 then divide by nine
Calculate the next 3 terms and write the formula for the nth term for the following sequences. 24,11,-2
Answer:
next 3 terms are -15, -28, -41. The formula would be n= (n-1)-13 to get the nth term
Step-by-step explanation:
Friends, i need help with this question.
Answer:
Step-by-step explanation:
The answer is 4.
Once you add 4, you get:
x^2 -2x + 4 = 7.
The left side is factorable:
(x-2)^2 = 7.
There is your perfect square.
Lawrence sells 40% of the apples on his cart, and are left with 420 apples. How many apples had Lawrence started with?
Answer:
700 apples
Step-by-step explanation:
Let
x = Total number of apples in the cart
Percentage of apples sold = 40%
Number of apples sold = Percentage of apples sold * Total number of apples in the cart
= 40% * x
= 0.4 * x
= 0.4x
Number of apples left in the cart = 420
Total number of apples in the cart = Number of apples sold + Number of apples left in the cart
x = 0.4x + 420
x - 0.4x = 420
0.6x = 420
x = 420/0.6
x = 700
x = Total number of apples in the cart = 700
Lawrence started with 700 apples
The area of a parallelogram is 64 m2. If a diagonal divides the parallelogram into 2 triangles, what is the area of 1 of the triangles?
a. 4 m2
b. 128 m2
c. 32 m2
d. 8 m2
Answer:
[tex]32\:\mathrm{m^2}[/tex]
Step-by-step explanation:
When cut by a diagonal, the parallelogram will be divided into two congruent triangles. By definition, congruent polygons have equal areas. Therefore, let the area of each of the triangle be [tex]x[/tex]:
[tex]x+x=64,\\2x=64,\\x=\frac{64}{2}=\boxed{32\:\mathrm{m^2}}[/tex]
