Answer:
x is 4
Step-by-step explanation:
[tex]{ \bf{(x + 6) : x = 5 :2 }} \\ { \tt{ \frac{(x + 6)}{x} = \frac{5}{2} }} \\ \\ { \tt{5x = 2(x + 6)}} \\ { \tt{5x = 2x + 12}} \\ { \tt{3x = 12}} \\ { \tt{x = 4}}[/tex]
Answer: x = 4 :)
(x + 6): x= 5:2
x : x + 6 : x = 5 : 2
1 + 6:x = 2,5
6:x = 2,5 - 1
6:x = 1,5
x = 6: 1,5
x= 4
Have a nice day:)
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]
The number of days (d) is equal
to the quotient of the number of
hours (h) and 24.
A. d = h - 24
B. h = 24 d
C. h = 24 h
D. h = 24 + h
Answer:
B
Step-by-step explanation:
[tex]d \: = \frac{h}{24} [/tex]
make h the subject of the formula
h = 24 d
find the range of the function y = -x^(2) + 1
y ≤ -1
y ≥ -1
y ≤ 1
y ≥ 1
Answer:
C
Step-by-step explanation:
y=-x^2+1. y is a decreasing function as x^2 is an increasing function
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]
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
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
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.
PLS help simple math properties ASAP needing 5 and 6 that’s all :)
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]
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
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
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.
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]
(-32ux+19u^2x^3-12u^6x^7) divided by (-4u^2x^3)
Answer:
\left(-32ux+19u^2x^3-12u^6x^7\right)\:divided\:by\:\left(-4u^2x^3\right)
Step-by-step explanation:
Factor the numerator and denominator and cancel the common factors.
\frac{8}{ux^2}\:-\frac{19}{4}+3u^4x^4
AC. DF, and GI are parallel. Use the figure to complete the proportion.
AD/DG = ?/EH
Answer:
BE.
Step-by-step explanation:
If AD is to DG, then BE must be to EH, and CF must be to FI.
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
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.
Kristi finds a shirt for $27.99 at the store.
The sign says that it is 25% off the
original price. Kristi must also pay the 8.5%
sales tax. What is the cost of the shirt
after the sales tax?
Answer:
Kristi will pay $22.77 for the shirt.
Step-by-step explanation:
First, determine the sales price of the shirt. If the full price is $27.99, a 25% reduction is $7. Subtract the discount from the full price to get a sales price of $20.99 for the shirt.
Next, determine the amount of tax Kristi will pay for the shirt. In her state, the sales tax is 8.5% (0.085). Multiply $20.99 by 0.085 and you will see that the sales tax is $1.78. Add the amount of the tax, $1.78, to the sales price of the shirt, $20.99, and you will get $22.77 as the cost of the shirt after the sales tax is added.
HELPPP MEEEE OUTTTTTT ITS URGENTTTTT!!!!
Answer:
(x-12)^2+(y-2)^2=4
Step-by-step explanation:
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:
what is rational number and arithmetic number
[tex] \huge \mathtt \blue{answer}[/tex]
Here, “p” is a numerator and “q” is a denominator. The examples of rational numbers are 6/5, 10/7, and so on. The rational number is represented using the letter “Q”. Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.
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:
Decrease £180 by 12.5%
Answer:
£ 157.5
Step-by-step explanation:
12.5 × 180 = 22.5
100
180 - 22.5 = 157.5
I hope this helps.
Can anyone assist me with this problem ?
Answer,
C
Step-by-step explanation:
I had the same question 2 days ago
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
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
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]
A line of best fit must pass through all data points of a graph.
True or False?
i need help and nobody's helping me :(
Evaluate this expression when a=9
Answer:
63
Step-by-step explanation:
a=9
7a
7(9)
63
