Answer:
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x^4-3x^2+2=0
Đặt ẩn t
Answer:
[tex] x_{1} = - \sqrt{2} \: .\: x_{2} = - 1 \: . \: x_{3} = 1 \: . \: x_{4} = \sqrt{2} [/tex]
Step-by-step explanation:
x⁴ - 3x² + 2 = 0
x^2×2 - 3x² + 2 = 0
(x²)² - 3x² + 2 = 0
t² - 3t + 2 = 0
t = 1, t = 2
x² = 1, x² = 2
x = -1, x = 1
x = - square root 2, x = square root 2
[tex] x_{1} = - \sqrt{2} \: .\: x_{2} = - 1 \: . \: x_{3} = 1 \: . \: x_{4} = \sqrt{2} [/tex]
What is (a^6)^3 divided by (a^5)^2? (Please explain using steps.)
Answer:
(a^6)^3 / (a^5)^2 = a^8
Step-by-step explanation:
step 1: multiply the exponents that are on the outside of the parenthesis to the exponent inside the parenthesis
ex: a^6 * ^3 / a^5 * ^2 = a^18 / a^10
step 2: subtract the exponents
ex: a^18 - ^10 = a^8
Step 3: Multiply by the scalar (1 over the determinant): Aâ’1 = a11 a12 a21 a22 a11 = a12 = a21 = a22 =
Answer:
a11 = 1
a12 = -1
a21 = -1.5
a13 = 2
Plz help me do this math problem !
Step-by-step explanation:
reason 1: given
reason 2: alternate interior angles
reason 3: alternate interior angles
reason 4: common (reflexive property)
reason 5: aas
how do you solve 2 to the 35th power
Answer:34359738368
Step-by-step explanation: 2 to the 35th power is basically 2 x 2 35 times. You can solve it on a caculator by typing in 2 and pushing the button that allows you to enter 35 (which is the exponent, or the little number) The button will usually have an x with a little y at the top right corner
Find the area of the following kite:
Answer:
[tex]48 cm^2[/tex]
Step-by-step explanation:
Each of the small triangles are right, so we can add up all the small triangle's areas to find the total area.
The 4-by-10 triangle: The area is [tex]4*10/2=40/2=20[/tex].
The other 4-by-10 triangle has the same side lengths and hence the same area, so the area is [tex]20[/tex].
The 4-by-4 triangle: The area is [tex]4*4/2=8/2=4[/tex].
The other 4-by-4 triangle has the same area, [tex]4[/tex].
The total area is [tex]20+20+4+4=\boxed{48} cm^2[/tex].
Please solve this for me.
Answer:
DG = 7z - 5
Step-by-step explanation:
In order to find DG, you add DE and GE.
B is the midpoint of AC. AB = 6x + 1 and BC = 2x + 9. Find the length of AC. .
Answer:
8x + 10 = AC
Step-by-step explanation:
AB + BC = AC
6x + 1 + 2x + 9 = AC
8x + 10 = AC
Lin is paid $86 for 4 hours of work how much would she be paid at this rate for 9 hours of work?
Answer:
173.5
Step-by-step explanation:
The answer is 173.5
To solve this type of equation we first have to find the unit rate, in this case, the unit rate is dollars every hour, in order to find this we have to divide 86 by 4 as shown below
[tex]86/4=21.5[/tex]
Therefore the unit rate is 21.5$ every hour so in order to find how much money she was paid after 9 hours we have to multiply 21.5 by 9, which is shown below
[tex]9x21.5=173.5[/tex]
Thus, that is how much money Lin will be paid after 9 hours of work.
Hope this Helps!
Hi, I am struggling on this math question. Can someone help me out please? I more so need how to set up the equation than the answer.
The aquarium has 6 fewer yellow fish than green fish. 40 percent of the fish are yellow. How many green fish are in the aquarium?
Answer:
18 green fish and there are 12 yellow fish
A girl rides a bicycle with a speed of 10km/h for 2h and 15km/h for the next 3h. find the distance moved by her and average speed
Karla is going to the store. She bought a banana for $0.67, a jar of peanut butter for $2.35 and a bottle of water for $1.50. If she paid with a $5 dollar bill, how much change will she get back? (Do not use $ in your answer)
Answer:
48 cents
Step-by-step explanation:
What is the slope of the line on the graph?
Answer:
5/12
Step-by-step explanation:
It goes up 5 and over 12.
Yvonne found three patterns for new dresses that she wants to sew. The patterns call for 4.7 yards, 325% of a yard and 2 1/2 yards of fabric. What is the total amount of fabric that Yvonne will need to purchase in decimal form.
PLS DUDE ANSWER AND EXPLAIN
Answer:
revenge
Step-by-step explanation:
ez
how do you solve the question solve for n 1/3 n = 6
Answer:
[tex]n = 18 \\ [/tex]
Step-by-step explanation:
[tex] \frac{1}{3} n = 6 \\ n = 6 \div \frac{1}{3} \\ n = 6 \times 3 \\ n = 18 \\ [/tex]
need this answered quick, please provide explanation for answer thanks :p
Help me! It’s a short answer question!
12. Find the values of x, y, and z. The diagram is not to scale. (3 points)
360
130
630
Answer:
x=81
z=99
y=68
Step-by-step explanation:
63+36=99
180-99=81
x=81
Angles in a triangle sum to 180
180-81=99
z=99
Angles on a line sum to 180
99+13=112
180-112=68
y=68
Angles in a triangle sum to 180
solve the inequality. 2y ≥ 4
Answer: y≥2
Step-by-step explanation:
Step-by-step explanation:
[tex]2y \geqslant 4[/tex]
[tex]y \geqslant \frac{4}{2} [/tex]
[tex]y \geqslant 2[/tex]
The table below shows Amelia's earnings on the job.
Time (hours) Earnings (dollars)
4
$108.80
9
$244.80
17
$462.40
How long does it take her to make $414.80?
Answer:
15.25 hours
Step-by-step explanation:
her pay per hour is $27.2
414.80÷27.2=15.25
which of the following fractions is equivalent to 75%
Answer:
Where are the fractions?
Step-by-step explanation:
There's 3/4, 9/12, 27/36, etc
Answer:
3/4
Step-by-step explanation:
First you would take 75/100 and than simplify that down so you get 3/4
Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2 h, and Car B traveled the distance in 1.5 h. Car B traveled 15 mph faster than Car A.
How fast did Car B travel?
(The formula R⋅T=D , where R is the rate of speed, T is the time, and D is the distance can be used.)
Answer:
60mph
Step-by-step explanation:
2s - 30 = 1.5s
2s - 1.5s = 30
.5s = 30
s = 60 mph is car B's speed
Show all steps
question is in the photo.
[tex]\\ \sf\longmapsto \sqrt{108x^2y^3}-\sqrt{12x^2y^3}+x\sqrt{75y^3}[/tex]
[tex]\\ \sf\longmapsto \sqrt{2\times 2\times 3\times 3\times 3\times x\times x\times y\times y\times y}-\sqrt{2\times 2\times 3\times x\times x\times y\times y\times y}+\sqrt{5\times 5\times 3\times y\times y\times y}[/tex]
[tex]\\ \sf\longmapsto 6\sqrt{3}xy\sqrt{y}-2\sqrt{3}xy\sqrt{y}+5\sqrt{3}xy\sqrt{y}[/tex]
[tex]\\ \sf\longmapsto \sqrt{3}xy\sqrt{y}(6-2+5)[/tex]
[tex]\\ \sf\longmapsto 9\sqrt{3}xy\sqrt{y}[/tex]
Answer:
[tex]{ \rm{ \sqrt{108 {x}^{2} {y}^{3} } - \sqrt{12 {x}^{2} {y}^{3} } + x \sqrt{75 {y}^{3} } }} \\ \\ = { \rm{\sqrt{(36 \times 3) {x}^{2} {y}^{3} } - \sqrt{(4 \times 3) {x}^{2} {y}^{3} } + x \sqrt{(3 \times 25)} {y}^{3} }} \\ \\ = { \rm{ \sqrt{ {x}^{2} {y}^{3} } ( \sqrt{36 \times 3} - \sqrt{4 \times 3} + \sqrt{3 \times 25} }}) \\ \\ { = \rm{x {y}^{ \frac{3}{2} } (6 \sqrt{3} - 2 \sqrt{3} + 5 \sqrt{3} ) }} \\ \\ = { \rm{x {y}^{ \frac{3}{2} } \{(6 - 2 + 5) \sqrt{3} \} }} \\ \\ = { \rm{x {y}^{ \frac{3}{2} } \times 9 \sqrt{3} }} \\ \\ = { \boxed{ \rm{9x \sqrt{3 {y}^{3} } }}}[/tex]
ANALYZE The surface area of a three-dimensional object is the sum of the area of the faces. If represents the length of the side of a cube, write a formula for the surface area S of the cube.
Step-by-step explanation:
If X represents the length of the side of a cube, the formula for the surface area of the cube, S =?
solution :
the area of each face of the cube = side × side
= X × X = X²
the cube has 6 similar faces, so the surface area of the cube could be:
S = 6 × X² = 6X²
Answer:
Surface Area = 6 × S²
Step-by-step explanation:
the surface area fo the cube :
SA = 6 × lenght × lenghtif lenght = S, the surface area fo the cube :
SA = 6 × lenght × lenght
SA = 6 × S × S
SA = 6 × S²
what is the standard form of of a line with a slope of -3/2 that passes through the point (4,-1)
Answer:
y=[tex]-\frac{3}{2}x-5[/tex]
Step-by-step explanation:
Use the point slope formula
[tex]y-y_1=m(x-x_1)[/tex]
y-1=[tex]-\frac{3}{2}[/tex](x-4)
Multiply -3/2 by (x-4) which equals -3/2x-6
Move the 1 by adding to both sides
The gives us y=[tex]-\frac{3}{2}x-5[/tex]
The acidity in a swimming pool is considered
normal if the average of three pH readings, p, is
defined such that 7.0
Answer:
6.2
Step-by-step explanation:
[tex] \frac{7.2 + 7.6 + x}{3} = 7.0 \\ \frac{14.8 + x}{3} = 7.0 \\ 14.8 + x = 21 \\ x = 21 - 14.8 \\ x = 6.2[/tex]
help me plsssssssssssssssssssssssssssssssss
The answer is C
The best answer is C
x + 3 + -3 = -6 please help me on this
Answer:-6
Step-by-step explanation:
X=-6
3 and -3 cancel out.
Answer:
-6
Step-by-step explanation:
The positives and negatives added cancel eachother out.
-6+3=-3
-3+-3=-6
A line includes the points (0, 1) and (4, 8). What is its equation in slope-intercept form?
To isolate the variable in 1/4x multiply by _ or divide by _
Answer: To isolate the variable in ¹/₄ x multiply by 4 or divide by 1
Step-by-step explanation:
Let ¹/₄ x = a
multiply by 4: 4 (¹/₄) x = 4 a
1 x = 4 a
divide by 1: ¹/₁ x = ⁴/₁ a
x = 4a [x is now isolated]
To isolate the variable in 1/4x multiply by 4 or divide by 1/4
How to isolate the variable in 1/4xFrom the question, we have the following parameters that can be used in our computation:
Expression = 1/4x
To isolate the variable in 1/4x, we multiply by 4
So, we have
Expression = 1/4x * 4
Expression = x
OR
To isolate the variable in 1/4x, we divide by 1/4
Expression = 1/4x / 1/4
Expression = x
Read more about expressions at
https://brainly.com/question/30492964
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Help would be very much appreciated I do not understand. Thanks.
Answer:
im pretty sure it is 2 and 8
Step-by-step explanation:
