Answer:
9
Step-by-step explanation:
Hi there!
We're given that x=√3, and we want to find the value of [tex]x^4[/tex]
We can substitute √3 as x, and then raise it to the 4th power, but if you don't know what that number is, it might be difficult to figure it out.
An easier way would be to write [tex]x^4[/tex] as x² * x², which in that case, we can multiply √3 by itself, multiply √3 by itself again, and then multiply those 2 numbers together.
If we do it this way, it'll look something like this (remember: x² is equal to x*x, or (x)²:
(√3)² * (√3)²
The order of operations will ask us to first take care of what's in the parentheses, and then to raise the numbers to their powers. Starting with the number on the left of the multiplication sign,
(√3)² = (√3)(√3)=3
And then the number on the right of the multiplication sign:
(√3)² = (√3)(√3)=3
Substitute these numbers in as (√3)² and (√3)²:
3 * 3 = 9
Therefore, x² * x², or [tex]x^4[/tex] is equal to 9
Hope this helps!
What is the length of the altitude to the longest side of a triangle, if the lengths
of its sides are
15 cm, 17 cm, 8 cm
Answer:
hb ≈ 7.06cm
Step-by-step explanation:
Using the formulas:
A=hbb
2
A=s(s﹣a)(s﹣b)(s﹣c)
s=a+b+c
2
Solving for hb
hb=﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4
2b=﹣154+2·(15·17)2+2·(15·8)2﹣174+2·(17·8)2﹣84
2·17
≈7.05882cm
Geometry- what is O? show work/explain please.
Answer:
Step-by-step explanation:
Find angles x and y.
I really need this as fast as possible, is it alright if u can help?
Answer:
x=62, y=62
Step-by-step explanation:
the diagonal line to the 62 angle and the diagonal line towards the left of the x angle are parallel and so are the two horizontal lines. we know angle 3 is 62 now, so y= 180 - 46 - 62 = 72
by alternate interior angles, y=angle 2 and angle2=x so x=72
What must be true about two objects of heat is flowing between them?
Answer:
that must mean that either the objects are giving off heat or the heat from one object is transferring to the air
Step-by-step explanation:
Answer:
The objects must be different temperatures.
Step-by-step explanation:
Biểu thức sin²x + cos²x có giá trị bằng ?
we have sin²x + cos²x = 1
ok done. Thank to me :>
Given that rectangle ABCD has coordinates A(0,0), B(12,0), C(12,6), and D(0,6), F is the midpoint of AB¯¯¯¯¯, and G is the midpoint of CD¯¯¯¯¯, which of the following proves that FB=GC?
1. By the Distance Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6).
Then FB = 12, and GC = 12.
Thus FB = GC.
2. By the Distance Formula, the coordinates of F are (6, 12) and the coordinates of G are (6, 0).
Then FG = 6, and GC = 6.
Thus FG = GC.
3. By the Midpoint Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6).
Then FB = 6, and GC = 6.
Thus FB = GC.
4. By the Midpoint Formula, the coordinates of F are (6, 6) and the coordinates of G are (6, 0).
Then FB = 6, and GC = 6.
Thus FB = GC.
The midpoint of the sides [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are the points that half way between [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] respectively.
The option that proves [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex] is option 3
3. By the Midpoint Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6). Then [tex]\overline{FB}[/tex] = 6, and [tex]\overline{GC}[/tex] = 6. Thus [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex]Reasons:
The given coordinates of the vertices of rectangle ABCD are;
A(0, 0), B(12, 0), C(12, 6), and D(0, 6)
The midpoint of side [tex]\overline{AB}[/tex] = Point F
The midpoint of side [tex]\overline{CD}[/tex] = Point F
The coordinates of point F is given by the midpoint formula, as follows;
[tex]\displaystyle \mathrm{The \ midpoint \ of \ a \ line \ with \ endpoints \ (x_1, \ y_1) \ and \ (x_2, \ y_2) = \mathbf{ \left(\frac{x_1 + x_2}{2}, \ \frac{y_1 + y_2}{2} \right) }}[/tex]
Which gives;
[tex]\displaystyle \mathrm{The \ coordinate \ of \ F \ the \ midpoint \ of \ \overline{AB} = \mathbf{ \left(\frac{0 + 12}{2}, \ \frac{0 + 0}{2} \right)} =(6,\ 0)}[/tex]
The coordinates of point F = [tex]\underline{(6, \ 0)}[/tex][tex]\displaystyle \mathrm{The \ coordinate \ of \ G \ the \ midpoint \ of \ \overline{CD} = \left(\frac{12 + 0}{2}, \ \frac{6 + 6}{2} \right) =(6,\ 6)}[/tex]
The coordinates of point G = [tex]\underline{(6, \ 6)}[/tex][tex]\overline{FB}[/tex] is parallel to the x-axis, therefore;
The length of [tex]\overline{FB}[/tex] = 12 - 6 = 6Similarly, [tex]\overline{GC}[/tex] is parallel to the x-axis, therefore;
The length of [tex]\overline{GC}[/tex] = 12 - 6 = 6Which gives;
[tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex] = 6The correct option is that proves [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex] is option 3.
By the Midpoint Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6). Then [tex]\overline{FB}[/tex] = 6, and [tex]\overline{GC}[/tex] = 6. Thus [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex]
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Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating. 15% tip on a bill of $53.67 The amount of the tip is approximately $
Answer:
357,8 if finding ???? before tip 53.67
8,050500000000001 if 53.67 and tip 15% 8,050500000000001
Step-by-step explanation:
13.065
-0.07
_________
Answer:
12.995
Step-by-step explanation:
can someone please help me i’m not doing so well in this new topic
Answer:
m<H= 80*
m<P= 80*
m<I= 33*
M<Q= 33*
M<J=67*
M<R=67*
Step-by-step explanation:
Given States that ️ HIJ = ️ PQR
<H=<P
2x=x+40
2x-x=x-x+40
x=40
<I=<Q
<J=<R
ALL TRIANGLES MEASURE 180*
Y= the measure of <R and <J
2x+33+y=180
2(40)+33+y=180
80+33+y=180
113+y=180
113-113+y=180-113
y=67
Answer:
See answer below
Step-by-step explanation:
If ΔHIJ ≅ ΔPQR ,then you know six congruent parts:
∠H ≅ ∠P ; ∠I ≅ ∠Q; ∠J ≅ ∠R and HI ≅ PQ; HJ ≅ PQ ; IJ ≅ QR
∠H ≅ ∠P ∠I ≅ ∠Q
2x = x + 40° ∠I = 35°
x = 40°
So ∠H = 2x = 2(40) = 80° Δ HIJ = 180°
∠P = x + 40 = 40 + 40 = 80° ∠H + ∠I + ∠J = 180°
∠Q = 35° 80° + 35° + ∠J = 180°
∠ I = 35° 115° + ∠J = 180°
∠ J = 65° ∠J = 65°
∠R = 65° ∠J ≅ ∠R
If 5mi ≈ 8km, how many miles would be equal to 50 km
Answer:
Too tired to go into detail so I just showed steps
Step-by-step explanation:
5mi = 8km ~~ Original
5/8mi = 1km ~~ Get 1km isolated
250/8mi = 50km ~~ Get 50km now
Write in index form
5 x 5 x 5
plz help im so confused
Answer:
i dont k if my explanation will help or not
Step-by-step explanation:
but it goes through the crosshairs in the 2nd quadrant at -10 on the y axis and up 6 on the x axis and then you go down 5 over 2
a%b when a=2 and b=1/2
Answer:
0.01
Step-by-step explanation:
–3x + 4y = 8
-4x + 3y=-6
are these Graphs perpendicular, parallel, or niether.
Answer:
Step-by-step explanation:
The company made $700,000 the first quarter and $343,000 the second
quarter. Which shows the change from the first quarter to the second
quarter?
a) –357,000
B) 357,000-
C) 357,000+
D) +357,000
Hi! i need help, can someone help me please
Answer:
b
Step-by-step explanation:
The change from the first quarter to the second quarter is +357,000. Therefore, the correct answer is option D.
Given that, the money made by company in first quarter = $700,000 and in the second quarter = $343,000.
Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
The difference in money made by company from first quarter to second is
700,000-343,000
= +357,000
Therefore, the correct answer is option D.
Learn more about the subtraction here:
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#SPJ4
I'll give brainliest i swear
Answer:
See below for answer.
Step-by-step explanation:
Absolute value represents the number of units that a value is from zero taken in account that there is a negative side and a positive side. Therefore in solving an absolute value equation, we must solve for the positive side and also the negative side.
Step-by-step explanation:
The absolute value is a means of measuring the distance of a number from the origin along the number line. Regardless of the position (positive or negative) of a number on the number line, its distance from the origin will be positive. Thus, the absolute value will always be positive, or 0 if if solving for the absolute value of 0).
Suppose that we're tasked to find the ansolute value of 8. As per the definition of absolute value of numbers, we know that -8 and 8 are both 8 units away from zero on the number line.
These same rules apply when solving absolute value equations, for which we have to set up the equations as positive and negative equations:
If a is positive, and |x| = a, then:
x = a or x = -a
I need help so help please
Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, - 3 ) and (x₂, y₂ ) = (2, 5 ) ← 2 points on the line
m = [tex]\frac{5-(-3)}{2-(-2)}[/tex] = [tex]\frac{5+3}{2+2}[/tex] = [tex]\frac{8}{4}[/tex] = 2
what is the value of x?
Answer:
x=80
Step-by-step explanation:
70 + 30+x =180 (sum of angles in a triangle =180)
x=80
28 is less than 35 by what %?
35 is greater than 28 by what %?
Answer:
28 is less than 35 by 20%
35is greater than 28 by 20%
Create a random triangle, ABC Measure and record its angles.
Answer:
a. 3.5
b.5.4
c 2.6
Step-by-step explanation:
/\_
if u drove 45 miles in 75 min how many miles did u drive per min
Answer:
11.25
Step-by-step explanation:
i hope this is right sry if its not tho
Answer:
How many miles is a 45 minute drive? 45 min is 0,75*60 min. During this time you'll drive 0,75*60= 45 miles.
Step-by-step explanation:
solve pls brainliest
Answer:
$18.15
Step-by-step explanation:
45% of $33 = $14.85
$33 - $14.85 = $18.15
h
V = πη2
3
Which of the following represents the formula that could be used to find the height of the cone?
Answer:
3
Step-by-step explanation:
Can you solve this? Thank you
Answer:
14
Step-by-step explanation:
ratio of red : blue = 4 : 3 = 4x : 3x ( x is a multiplier )
8 red counters are added , so
4x + 8 : 3x = 8 : 3
Expressing the ratio in fractional form
[tex]\frac{4x+8}{8}[/tex] = [tex]\frac{3x}{3}[/tex] ( cross- multiply )
24x = 3(4x + 8) = 12x + 24 ( subtract 12x from both sides )
12x = 24 ( divide both sides by 12 )
x = 2
original number of counters = 4x + 3x = 7x = 7(2) = 14
What was the frequency of rolling a sum greater than 5?
Answer:
on a 6-sided dice, 1/6
Step-by-step explanation:
at 6 am the temperature was -8ºC. In the afternoon, the temperature was +3ºC. What was the change of temperature during the day?
Answer:
I think -5
Step-by-step explanation:
-8-(3)= -5
if they are the same sings (+or-) you keep and add and different signs subtract, you keep the sign of the bigger number then you'll be exact.
Hope it helps
a) Dos números enteros positivos se diferencian en 6 unidades y la suma de sus cuadrados
es 260. ¿Cuáles son esos números?
Queremos encontrar dos números enteros tales que su diferencia sea de 6 y la suma de sus cuadrados sea igual a 260.
Veremos que los dos números son 8 y 14.
Primero, podemos definir esos números como A y B.
Entonces tenemos que:
A - B = 6
A^2 + B^2 = 260
Esto es un sistema de ecuaciones.
Para resolverlo, el primer paso es aislar una de las variables en una de las ecuaciones, vamos a hacer esto en la primera.
A - B = 6
A = 6 + B
Ahora reemplazamos esto en la otra ecuación.
A^2 + B^2 = 260
(6 + B)^2 + B^2 = 260
36 + 12*B + B^2 + B^2 = 260
36 + 12*B + 2*B^2 = 260
Ahora podemos resolver esto para B:
2*B^2 + 12*B + 36 - 260 = 0
2*B^2 + 12*B - 224
Las soluciones estan dadas por la formula de Bhaskara:
[tex]B = \frac{-12\pm \sqrt{12^2 - 4*2*(-224)} }{2*2} \\\\B = \frac{-12 \pm 44 }{4}\\\\B = (-3 \pm 11)[/tex]
Entonces las dos soluciones son:
B = -3 + 11 = 8
B = -3 - 11 = -14
Sabemos que los números son positivos, asi que elejimos la primera, entonces tenemos:
B = 8.
Con esto podemos calcular el valor de A como:
A - B = 6
A = 6 + B = 6 + 8 = 14
Entonces los dos números son:
8 y 14.
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On average, Gavin drinks of a 6-ounce glass of water in 11 hours. How much water
does he drink, in glasses per hour? Enter your answer as a whole number, proper
fraction, or mixed number in simplest form.
what is on your nose in your pic
x³+2/3x²-2x-4/3 factorizing
Answer:
(x+2/3) (x^2 - 2)
Step-by-step explanation:
First we can seperate the problem
(x^3 + 2/3x^2) + (-2x - 4/3)
We factor x^2 out of the first parenthesis
x^2(x + 2/3) + (-2x - 4/3)
and factor -2 out of the second
x^2 (x+2/3) +-2 (x +2/3)
then we rewrite it as
(x+2/3) (x^2 -2)
-- Gage Millar, alg1/2 tutor
evaluate the fractions and show your complete solution. And express your answer in lowest term.
9. 3 2/10 - 1/4 = n
10. 2 5/6 - 3/4 = n
please help me with this thanks.
Answer: 9. n = 2 19/20 10. n = 2 1/12
Step-by-step explanation: 3 2/10-1/4 = n 32/10−1/4 32/10+−1/4 16/5+−1/4 64/20+−5/20 n = 59/20 n = 2 19/20 2 5/6-3/4 = n 17/6-3/4 17/6+-3/4 34/12+-9/12 n = 25/12 n = 2 1/12