[tex]\dfrac 1{\sqrt 7- \sqrt 3}\\\\\\=\dfrac{\sqrt 7 + \sqrt 3}{\left ( \sqrt 7 -\sqrt 3\right) \left( \sqrt 7 + \sqrt 3\right)}\\\\\\=\dfrac{\sqrt 7 + \sqrt 3}{\left(\sqrt 7 \right)^2 - \left(\sqrt 3 \right)^2}\\ \\\\=\dfrac{\sqrt 7 + \sqrt 3}{7-3}\\\\\\=\dfrac 14\left(\sqrt 7 + \sqrt 3\right)[/tex]
which is equivalent to 12
5x?
A. -12x + 5
B.
-5x + 12
C.
5.x 12
• D. 12x 5
Answer:
-5x+12
Step-by-step explanation:
12 -5x
We can use the communitive property of addition to change the order.
The minus sign stays with the 5x
-5x+12
How to solve 3x - 1/2 = 8 1/2 please no links and do it step by step
Answer:
[tex]x=\frac{3}{2}[/tex]
Step-by-step explanation:
Step 1. Put each term in [tex]3x-\frac{1}{2}[/tex] over the common denominator 2.
[tex]\frac{6x}{2}-\frac{1}{2}[/tex]
Therefore we have [tex](\frac{6x}{2}-\frac{1}{2})=4[/tex]
Step 2.
Combine [tex]\frac{6x}{2}-\frac{1}{2}[/tex] into a single fraction.
[tex]\frac{6x-1}{2}[/tex]
Therefore we have [tex](\frac{1}{2}(6x-1))=4[/tex] or [tex]\frac{6x-1}{2}=4[/tex]
Step 3.
Multiply both sides by a constant to simplify the equation.
Multiply both sides of [tex]\frac{6x-1}{2}=4[/tex] by 2:
[tex]\frac{2*(6x-1)}{2}=4*2[/tex]
Step 4.
Cancel the common terms in the numerator and denominator of [tex]\frac{2*(6x-1)}{2}[/tex]
Then we get [tex]\frac{2}{2}*(6x-1)[/tex] which simplifies to [tex](6x-1)[/tex]
So all together we have [tex](6x-1)=2*4[/tex]
Step 5.
Multiply 2 and 4 together and remove the parenthesis.
[tex]6x-1=8[/tex]
Step 6.
Isolate terms with the variable x to the left hand side.
So add 1 to both sides:
[tex]6x+(1-1)=8+1[/tex]
Evaluate [tex]1-1=0[/tex] which cancels out
Step 7.
Add the like terms on the right side:
[tex]6x=9[/tex]
Step 8.
Divide both sides by a constant to simplify the equation.
Divide both sides of [tex]6x=9[/tex] by 6.
[tex]\frac{6x}{6} =\frac{9}{6}[/tex]
Any non-zero number divided by itself is 1.
[tex]x=\frac{9}{6}[/tex] which simplifies to [tex]x=\frac{3}{2}[/tex]
Three points representing the corners of a rectangular garden are A (-7, 3), B (7, 3) and C (7, -3). How could you use the coordinate plane below to find the coordinates of the fourth corner, point D? What are the coordinates of the point?
Answer:
Point d's corrdinates are (-7, -3). You can use the coordinate grid to find it out by graphing the others first and then find the missing one based on the sides
Step-by-step explanation:
pls help what is the circumstance of a circle with a diameter of 8 feet? Use 3.14 for n
Answer:
D. 25.12 feet
Step-by-step explanation: C= r(pi)^2
HELP URGENT
find angle CAB
a. 32
b. 26
c. 64
d. 58
Answer:
b. 26°Step-by-step explanation:
ABE is tangent to the circle then m∡OBE = m∡OBD = 90
Then m∡OBD = 90 - 58 = 32
In the triangle DAB :
m∡CAB = m∡DAB = 180 - [m∡BDA + (m∡DBA)]
= 180 - [ 32 + (90 + 32)]
= 180 - [ 32 + ( 122) ]
= 180 - [ 154 ]
= 26
Answer:
B) 26°
Step-by-step explanation:
Finding ∠OBD
∠OBA = ∠OBE = 90° [tangent to the circle]∠OBE - 58° = ∠OBD∠OBD = 90° - 58°∠OBD = 32°Then, ∠ADB = ∠OBD = 32° (angles opposing equal sides OB and OD, both of which are radii of the circle.
Finding ∠CAB
∠CAB + ∠ADB + ∠OBD + ∠OBA = 180° [Angle Sum Property]∠CAB + 32° + 32° + 90° = 180°∠CAB + 154° = 180°∠CAB = 26°What is the surface area
Answer:
144 is the surface area
Step-by-step explanation:
Multiply 5 x 8 for the 3 rectangles. You will get an answer of 40. 40 x 3 is 120. For the 2 triangles you multiply 6 x 4 divided by 2 times 2 which is 24 lol. 120 + 24 = 144.
5. Which deal is the better deal
Answer:
THE 18 oz CONE IS BETTER VALUE, AS YOU GET MORE FOR A CHEAPER PRICE.
Step-by-step explanation:
work out the worth for 1oz of each ice cream cone.
$6.60 / 18 = 0.37 (to 1 decimal place)
$4.75 / 12= 0.40 ( to 1 decimal place)
Helpppp I will mark brainliest
Problem 25
Point P has the x coordinate x = -5, while point Z has the x coordinate x = 5. This is a distance of 10 units on the number line. Segment PZ is 10 units long which is the base of the triangle.
The height of the triangle is 8 units because it's the vertical distance from R to segment PZ. Notice we go from x = 4 to x = -4. The base and height are always perpendicular to one another.
Area = (base*height)/2
Area = (10*8)/2
Area = 80/2
Area = 40
Answer: 40 square units==========================================================
Problem 26
I'm not sure about this one because the instructions mention a grid, but I don't see any grid lines here. I'm not sure if the grid lines are just really faint or if your teacher forgot to put them in.
x2 +9 x- 22,
Which graph shows the solution set of
20?
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-10
-8
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8
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-14
-10
-4
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Answer...
Ok done. Thank to me >:3
From first principle, find the derivative of y=2x^3+x²+4x with respect to X
Answer:
[tex]derivative \: of \: y = 6 {x}^{2} + 2x + 4[/tex]
Step-by-step explanation:
we know that
[tex] \frac{d}{dx} {x}^{n} = n {x}^{n - 1} [/tex]
Now the derivative of y=2x³+x²+4x
[tex] \frac{dy}{dx} = \frac{d}{dx} (2 {x}^{3} + {x}^{2} + 4x)[/tex]
[tex] \frac{dy}{dx} = \frac{d}{dx} (2 {x}^{3} ) + \frac{d}{dx}( {x}^{2} ) + \frac{d}{dx} (4x)[/tex]
[tex]\frac{dy}{dx} = 2(\frac{d}{dx} {x}^{3} ) + \frac{d}{dx} {x}^{2} + 4(\frac{d}{dx} x)[/tex]
here
[tex]\frac{d}{dx} {x}^{3} = 3 {x}^{2} [/tex]
[tex]\frac{d}{dx} {x}^{2} = 2x[/tex]
[tex]\frac{d}{dx} x = 1[/tex]
Now
[tex]\frac{dy}{dx} = 2(3 {x}^{2} ) + 2x + 4(1)[/tex]
[tex]\frac{dy}{dx} = 6 {x}^{2} + 2x + 4[/tex]
I hope it helped you
15. Which three lengths could be the lengths of the sides of a triangle?
Step-by-step explanation:
11 cm, 6 cm, 17 cm
Answer::
11cm, 6cm, 17cm
step by step explanation:
the correct answer is 11cm 6cm and 17cm
because in a right angled triangle, the square of the hypothenus is equal to the square of the sum of the other two sides
hypothenus= 17cm other two sides=11cm and 6cm
Can cubic units measure temperature?
Answer:
No because Temperature is measured in Kelvins
Step-by-step explanation:
Which statements are correct? check all that apply. more 7th graders were surveyed than 8th graders. the marginal relative frequency for action movies is 44%. the joint relative frequency for 8th graders who like comedy movies is 16%. most students prefer drama movies. half of the 7th graders prefer action movies.
The true statements from the given information are:
b. the marginal relative frequency for action movies is 44%. c. the joint relative frequency for 8th graders who like comedy movies is 16%.How to determine true statement?From the two-way frequency table of the dataset, we have the following highlights
Action movie marginal frequency = 44%8th graders that like comedy movies joint relative frequency = 16%From the above highlight, we can conclude that options (b) and (c) are correct
Learn more about two-way frequency table on:
https://brainly.com/question/16148316
Answer:
B, C, E on edge2022
Step-by-step explanation:
What is the circumference of the following circle? or r=5
Answer: [tex]C=31.4[/tex]
Step-by-step explanation: When you are finding the circumference of a circle you use the formula
[tex]C=2\pi r[/tex]
[tex]C=2*3.14 *5[/tex]
[tex]C=31.4[/tex]
what is x if 1/4x = 9?
Answer:
x is 36
Step-by-step explanation:
the way to find out is 1/4 multiplied by what gives you 9. 9 divided by 1/4 is 36. 36 1/4's gives you 9.
Answer: 2
Step-by-step explanation:first u subtract 1-9=8then u divide 4/8=2 tell me if wrong
If the percent of discount of an item is 25 percent and the sale price is $40 what is the original price
Answer:
$53.33
Step-by-step explanation:
40/1 - .25
40/.75 = $53.33
Is probability and statistics part of algebra? Thank you and have a good day! :D
Answer:
Both probability and statistics are considered to be part of algebra due to the fact that they both deal with equations and variables. Also last semester I had Algebra II with statistics and we dealt with probability & statistics.
Step-by-step explanation:
Hope this helps:)...if not then sorry for wasting your time and may God bless you:)
Answer:
Both probability and statistics can be considered to be part of algebra as they deal with equations and variables.
Probability and statistics are related areas of mathematics that concern themselves with analyzing the relative frequency of events.
Step-by-step explanation:
Two angles are supplementary. The larger angle is 15 more than 10 times the smaller angle. FInd the measure of each angle.
[tex]\text{Larger angle} =x\\\\\text{Smaller angle} =y\\ \\\text{According to the condition,}\\\\x=10y+15\\\\\text{The two angles are supplementary, so their sum is}~ 180^{\circ} \\\\x+y=180\\\\\implies 10y+15 +y = 180\\\\\implies 11y = 180-15\\\\\implies 11y=165\\\\\implies y = \dfrac{165}{11}\\\\\implies y = 15\\\\\text{So,} ~x =180-15 = 165\\\\\text{Hence the larger angle is}~ 165^{\circ}~ \text{and the smaller angle is }15^{\circ}[/tex]
Write an inequality for the given graph! Please help!
Answer:
y < 1/2 x - 3
Step-by-step explanation:
The line crosses the y-axis (up and down numbered axis) at -3. That's the - 3 in the equation. If you look very carefully, closely, you can see that the line, from there, goes UP1 and OVER2 to get to the next point (and the next point and the next point) This is the slope, it goes in front of the x, here it is UP1 and OVER2 and is written 1/2.
The line is dashed so the symbol is < "less than" WITHOUT the line mark underneath it; also because the shading is BELOW the dashed line we use < "less than" and not > "greater than"
Which of the following shows an equivalent expression to
[(5-3). 12) if only the associative property was used to transform the expression?
А
[5. (3.12)]
(В
[(5.12). 3)
C
[(3.5). 12]
Answer: A. [5 * (3 * 12)]
Step-by-step explanation:
The associative property states that "the way in which factors are grouped in a multiplication problem does not change the product" (Oxford Languages).
Using this definition, we can see the only option that correctly uses the associate property is option A.
[5 * (3 * 12)]
What’s the area of the circle?
r= 4m
Answer:
50.3
Set A to the value of pi times the radius squared.
[tex]4^2 = 4 * 4 = 16\\\\A = \pi *r^2(4^2) = 50.26548245...[/tex]
Need help with khan geometry no link pls just answer
Angles ABC and CBD are complementary - they add up to 90°. This means
(4x + 52°) + (8x - 10°) = 90°
Solve for x :
12x + 42° = 90°
12x = 48°
x = 4°
It follows that angle CBD has measure
4 • 4° + 52° = 16° + 52° = 68°
What is the area of a square enclosure that uses 320 meters of fencing?
Answer:
A = 6400 m²
Step-by-step explanation:
the sides s of a square are congruent , then
s = 320 ÷ 4 = 80 m
tahe area (A) of a square is calculated as
A = s² = 80² = 6400 m²
The required area of square, having side 80 meters, is 6400 square meters.
What is square ?A square is a quadrilateral with four equal sides and four equal angles that is a regular quadrilateral. The square's angles are at a straight angle or 90 degrees.
Given that,
The length of fencing enclosure a square = 320 meters,
Let the side of the square is a meter,
According to given condition, perimeter of square,
4a = 320
a = 80
Since, the area of square having side a, is a²
Area = a²
Area = (80²)
Area = 6400 square meters.
The area of square, having side 80, is 6400 square meters.
To learn more about Square on:
https://brainly.com/question/28776767
#SPJ2
Find the total balance of each investment account earning simple annual interest. A: $624 at 5% for 3 years
$93. 60
B: $4,120 at 7% for 18 months
$432. 60
C: $900 at 3. 1% for 6 months
D: $275 at 4. 8% for 8 years
$105. 60
Answer:
the answer is A because if the interest is equal to 624×5×3÷100 which would give us 93.60
but for the rest the when you solve it you won't get the same answer below it
Please help! Easy for everyone but me for some reason.
What's the value of x? Show your work.
Answer:
x = 9
Step-by-step explanation:
using Pythagoras' identity in the right triangle
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
x² + 6² = ([tex]\sqrt{117}[/tex] )²
x² + 36 = 117 ( subtract 36 from both sides )
x² = 81 ( take square root of both sides )
x = [tex]\sqrt{81}[/tex] = 9
The mean of 4, 10, 3, 6, a, 9 and 10 is 7, find the value
of a
Answer:
The value of a is 7.
Step-by-step explanation:
To calculate mean, add all of the numbers in the set and divide by the number of terms in said set. There are 7 numbers in this set, so the equation can be set up as follows.
(4 + 10 + 3 + 6 + a + 9 + 10)/7 = 7
Simplify the terms on the top.
(42 + a)/7 = 7
Multiply both sides by 7.
42 + a = 49
Subtract both sides by 42.
a = 7.
Proof:
(4 + 10 + 3 + 6 + a + 9 + 10)/7 = 7
Substitute variable.
(4 + 10 + 3 + 6 + 7 + 9 + 10)/7 = 7
Add in the parenthesis.
49/7 = 7
Divide.
7 = 7.
The sum of 5 times a number and 7 equals 8
Answer:
0.2
Step-by-step explanation:
the sum of 5 times 0.2 and 7 equals 8
(9×10^2)+(4×10^3)
give your anwser in standard form
Answer:
4.9 × [tex]10^3[/tex]
Step-by-step explanation:
Start by doing what is in the paranthesis from right to left.
[tex]9 * 10^2 = 900[/tex]
and
[tex]4 * 10^3 = 4000[/tex]
So if we add them we get:
[tex]900 + 4000 = 4900[/tex]
Now to put it into standard form we just put a decimal to the right of the first number and see how many times we need to move right in order to make the number. In this case it's 3 times so we tack on × [tex]10^3[/tex]
So our answer is:
[tex]4.9[/tex] × [tex]10^3[/tex]
What is the percent of increase from 26 to 91?
Answer:
250
Step-by-step explanation:
Find the distance between C & D.
C = (6,-5) and D = (-1, -4)
(please show work)
Answer:7.0711
Step-by-step explanation: