Answers
Answer:[tex]\frac{-7\sqrt{2} }{4}[/tex]
Step-by-step explanation:
So first, let's get rid of the parentheses. We can multiply it out to get [tex]\sqrt{16}-x\sqrt{8} =11[/tex]. We know that the square root of 16 is ±4, so now our equation is ±4 - [tex]x\sqrt{8}[/tex]=11. I'm guessing since the problem only has one solution it's most likely only positive 4, so let's revise our equation to 4 - [tex]x\sqrt{8}[/tex]=11. We can use inverse operations to make the a little easier to solve: -7= [tex]x\sqrt{8}[/tex]. We divide both sides by [tex]\sqrt{8}[/tex] to get [tex]\frac{-7}{\sqrt{8} } =x[/tex], which we can rationalize (remove the square root from the denominator so that it's a proper answer) by multiplying by [tex]\frac{\sqrt{8} }{\sqrt{8} }[/tex] (which is equal to one so we can use it) which is equal to [tex]\frac{-7\sqrt{8} }{8}[/tex]. Let's finish this by simplifying it. [tex]\sqrt{8} =2\sqrt{2}[/tex] (2x[tex]2^{2}[/tex]). We can simplify it further by simplifying the 2, making it [tex]\frac{-7\sqrt{2} }{4}[/tex].
Hope this wasn't too confusing! I'll answer any questions.
Answer:
x = -7 sqrt(2)/4
Step-by-step explanation:
Sqrt8 (Sqrt2 - x) = 11
Simplify sqrt(8) = sqrt(4*2) = 2 sqrt(2)
2 sqrt(2) (Sqrt2 - x) = 11
Distribute
2 *2 - 2 sqrt(2) x = 11
4 - 2 sqrt(2)x = 11
Subtract 4 from each side
4-2sqrt(2)x -4 = 11-4
-2 sqrt(2)x = 7
Divide each side by -2 sqrt(2)
-2 sqrt(2)x /-2 sqrt(2) = 7/ -2 sqrt(2)
x = - 7/ 2 sqrt(2)
Multiply top and bottom by sqrt(2)
x = - 7/ 2 sqrt(2) * sqrt(2)/ sqrt(2)
x = -7 sqrt(2)/4
Related Questions
Probability that student was male or got an “B”
Answers
Answer:
3/23 = .13 = 13%
Step-by-step explanation:
Write the equation of the line described:
18. Slope 2, y-intercept is -4
(Show answer in slope-intercept form.)
Answers
y = 2x - 4
Step-by-step explanation:
Slope = 2, y-intercept = -4
The equation of the line is y = 2x - 4
Slope-intercept Form: y = mx + b where m = slope and b = y-intercept
Therefore, the equation of the line is y = 2x - 4
Hope this helps!!
Last month, a printing company printed $56,000.00 worth of books. This month, they printed $63,000.00 worth of books. What is the percent increase in their printing?
Answers
Explanation:
56000 • x% = 63000
56000 • x/100 = 63000
56000x = 6,300,000
x = 6,300,000/56,000
x = 112.5%
x - 100 = 112.5% - 100% = 12.5%
I need help with 4 x (7 - 3) please show your work
Answers
Answer: 16
Step-by-step explanation:
Take ( 7 - 3 ) and subtract 3 from 7, which gives you 4, then take 4 and multiply it by 4, ( 4x4 ) which gives you 16.
Answer:
16
Step-by-step explanation:
4 * (7 - 3)
Parentheses first
4*(4)
Then multiply
16
If anyone can help me I will really appreciate!!
Answers
Answer:
The decimal form of the equation is y = 2.5x + 10
The equivalent fraction form is y = (5/2)x + 10 because 5/2 = 2.5
===========================================================
Explanation:
We can pick any two columns from the table to form the two points needed.
I'll pick the first two columns
(1, 12.5)
(2, 15)
Then apply the slope formula to those points
m = (y2-y1)/(x2-x1)
m = (15-12.5)/(2-1)
m = (2.5)/(1)
m = 2.5
Now use that slope with either point mentioned to find the y intercept b.
y = mx+b
12.5 = 2.5*1 + b
12.5 = 2.5 + b
12.5 - 2.5 = b
10 = b
b = 10
Or
y = mx+b
15 = 2.5*2+b
15 = 5+b
15-5 = b
10 = b
b = 10
We end up with the same b value.
We found that m = 2.5 is the slope and b = 10 is the y intercept
Therefore we go from y = mx+b to y = 2.5x + 10
This is the same as saying y = (5/2)x + 10 since 2.5 = 5/2
Simplify this expression.
6 + 8 ÷ 2
3
7
10
12
Answers
Explanation:
Using PEMDAS, subtract first, then add the quotient.
6+(8/2)
6+4
10
Solve for theta
Please answer both parts
Answers
Answer:
Step-by-step explanation:
a) tanθ = x/3
θ = arctan(x/3)
:::::
b) cosθ = 9/x
θ = arccos(9/x)
Multiply and simplify the following complex numbers (-4-5i)•(1-i)
Answers
Answer:
Step-by-step explanation:
(-4 - 5i)⋅(1 - i) = (-4)(1) + (-4)(-i) + (-5i)(1) + (-5i)(-i)
= -4 + 4i - 5i + 5i²
= -4 - i -5
= -9 - i
Write 3^7/2 in surd form.
Answers
Answer:
[tex]\sqrt[2]{3^7}[/tex]
Step-by-step explanation:
[tex]\sqrt[2]{3^7}[/tex]
The top number is the power and the bottom of the fraction is the root
Will give brainliest
mplete the equation describing how
x and y are related.
Х
0 1
2
3
4
Y -1 3 7
11 15
y = 4x + [? ]
Enter the answer that belongs in [?]
Answers
Answer:
y = 4x + -1
Step-by-step explanation:
clearly seen.
The count in a bacteria culture was 900 after 15 minutes and 1100 after 35 minutes. Assuming the count grows exponentially,
What was the initial size of the culture?
Answers
Answer:
300
Step-by-step explanation:
1100 = 900 [tex]e^{k*20}[/tex]
1.222222 = [tex]e^{k*20}[/tex]
ln(1.222) = 20k ln(e)
k = ln(1.222)/20
k = .2004
900 = x [tex]e^{15* .20004}[/tex]
900/x = [tex]e^{15* .20004}[/tex]
[tex]e^{15*.2004} = 900/x[/tex]
x = 900/ [tex]e^{15*.2004}[/tex]
x = 300
Which shapes are quadrilaterals?
1. Scalene right triangle
2. Obtuse scalene triangle
3. Isosceles right triangle
4. Hexagon
5. Pentagon
6. Right trapezoid
7. Venn diagram
Answers
Hey there! I'm happy to help!
A quadrilateral is any polygon (enclosed shape) with four sides. Let's see what each of these shapes are.
Scalene right triangle - the prefix tri- means three (tricycle, tripod, triple, etc.), and all triangles have three sides, so this is not a quadrilateral.Obtuse scalene triangle - once again a triangle, so not a quadrilateral.Isosceles right triangle - would you look at that, another triangle! Not a quadrilateral.Hexagon - a hexagon is a six-sided polygon (hex=six), so this is not a quadrilateral.Pentagon - a pentagon is a five-sided polygon (pent=five, like Pentatonix!). Not a quadrilateralRight trapezoid - a trapezoid is a quadrilateral with at least one pair of parallel sides!Venn diagram - a Venn diagram is a compare and contrast chart made of two overlapping circles (ZERO sides), so this is not a quadrilateral.So, the only shape on your list that is a quadrilateral is 6. right trapezoid.
Have a wonderful day! :D
If x+y=8 and xy =15 find the value of x³+y³.
Answers
Answer:
152Step-by-step explanation:
let x= 5 and y= 3x + y = 85 + 3 = 8xy = 155 × 3 = 15x³ + y³ = ?5³ + 3³ = ?125 + 27 = 152[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
2( 1/5 m− 2/5 )+ 3/5
Answers
Answer:
2m/5-1/5
Step-by-step explanation:
2*m-2/5+3/5
2(m-2)/5+3/5
2(m-2)/5+3/5
2m-4/5+3/5
2m/5-1/5
Combine like terms to simplify the
equation below.
Answers
Answer:
4a+6b
Step-by-step explanation:
4a -2a +6b +2a
Combine like terms
4a-2a+2a+6b
4a+6b
Answer:
4a + 6b
Step-by-step explanation:
4a - 2a + 6b + 2a
= 4a + 6b
(because -2a and +2a get cancelled by each other)
What would happen if addition were not associative?
Select all that apply.
A. The sum of 0 and a number would not always result in that number
B. The basic addition facts would not be true.
C. Addends could not be arranged in groups that sum to 10s to make column addition easier.
D. Addends could only be added in order from left to right.
Answers
Answer:
B, C, and D........................
A.) V’ (-3,-5), K’ (-1,-2), B’ (3,-1), Z’(2,-5)
B.) V’(-4, 1), K’(-2, 4), B(2,5) Z’ (1, 1)
C.) V’ (-3,-4), K’(-1,-1) B’ (3,0), Z’(2,-4)
D.) V’ (-1,0), K’ (1, 3), B’(5,4), Z’(4,0)
Answers
Answer:
C
Step-by-step explanation:
this is a "translation" - a shift of the object without changing its shadow and size.
this shift is described by a "vector" - in 2D space by the x and y distances to move.
we have here (1, 0) - so, we move every point one unit to the right (positive x direction) and 0 units up/down.
therefore, C is the right answer (the x coordinates of the points are increased by 1, the y coordinate are unchanged).
Help me plz will mark brainliest
Answers
Step-by-step explanation:
Given,
the bigger triangle (∆GFH), <HGF = 90° and <GFH = 60° and GF = 4
In the 30-60-90 triangle, FH = 4×2 = 8
or you can find it like this,
cos60 = 4/FH
FH = 4/cos60 = 8
Now, I is the midpoint of FH, so, FI = 8/2 = 4
now for ∆FGI,
<GFI = 60°, GF = 4, FI = 4, it's a equilateral triangle, so we can say GI = 4
Now we need to find the height of ∆FGI, for that,
area of ∆FGI = (√3/4)×4² = 4√3 = 6.92820323..
So height (GJ) = 2×area/side = 2×4√3/4 = 2√3 = 3.46410162.. [height of ∆GFI (Because altitude is perpendicular distance from a point) = GJ, given]
now, in ∆GJI, GJ = 2√3, GI = 4 and <GJI = 90° (since itsy altitude, the angle will be a right angle, i.e. 90°)
So, JI = √{4²-(2√3)²} = 2
Area = 2×2√3/2 = 2√3 = 3.46410162.. = 3.46 (rounded to the nearest hundredth)
-1/3 + -3/8 | pls include instructions/step by step! thx!
Answers
[tex]\\ \sf\longmapsto \dfrac{-1}{3}+(\dfrac{-3}{8})[/tex]
Take lcm[tex]\\ \sf\longmapsto \dfrac{-8+(-9)}{24}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-8-9}{24}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-17}{24}[/tex]
-1/3 + -3/8
denominator: -1/3 * 8
-3/8 * 3
<=> -8/24 + - 9/24
<=> (-8 + -9)/24
= -17/24
please help answer question
Answers
Answer:
Mark me brainlist please please please please
Answer:
Step-by-step explanation:
Solve the following proportion for y
y/9=13/11
Round your answer to the nearest tenth.
y=?
Answers
Answer:
y = 10.6
Step-by-step explanation:
We can solve using cross products
y 13
---- = ----
9 11
y*11 = 9*13
11y =117
Divide each side by 11
11y/11 =117/11
y=10.63636
To the nearest tenth
y = 10.6
The value of y using the proportion relation y/9 = 13/11 is 117/11.
Given Relation:
y/9 = 13/11
As, the proportion is the condition where two ratios are equivalent.
Now, solving the equation y/9 = 13/11 for y
First, cross multiply the equation
11y = 117
Now, divide both side by 11 gives
11y /11 = 117/ 11
y= 117 /11
As, there no common factor of 117 and 11.
Thus, the simplified value is 117.11
Learn more about Proportion here:
https://brainly.com/question/26974513
#SPJ6
solve for x please help (show work)
Answers
Answer:
x = -1
Step-by-step explanation:
1/3(6x-3)+2(x-1) = -7
Distribute
2x-1 +2x-2 = -7
Combine like terms
4x -3 = -7
Add 3 to each side
4x-3+3 = -7+3
4x = -4
Divide by 4
4x/4 = -4/4
x = -1
[tex] \frak{ \frac{1}{3}(6x - 3) + 2(x - 1) = - 7}[/tex]
[tex]\twoheadrightarrow \frak{2x - 1 + 2x - 2 = - 7}[/tex]
[tex]\twoheadrightarrow \frak{4x - 3 = - 7}[/tex]
[tex] \twoheadrightarrow \frak{4x = - 7 + 3}[/tex]
[tex]\twoheadrightarrow \frak{4x = - 4}[/tex]
[tex]\star \: \underline{ \boxed{ \frak \green{{x = - 1}}}}[/tex]
The length of a rectangle is 4 inches more than its width. The area of the rectangle is equal to 5 inches more than 2 times the perimeter. Find the length and width of the rectangle
Answers
Answer:
Step-by-step explanation:
L = 4 + w
A = 2P - 4
lw = 2(2l +2w) - 4
lw = 4(l + w) - 4
(w+4)w = 4 ( w+4+w) -4
(w +4)w = 4(2w + 4) - 4
w^2 + 4w = 8w + 16 - 4
w^2 + 4w = 8w + 12
w^2 - 4w - 12 = 0
( w - 6 )( w + 2 ) = 0
w - 6 = 0 ----> w = 6 ----> L=10 ---> P = 32 and A = 60
w + 2 = 0 ---> w = -2 <--- width cannot be negative; disqualified/rejected
2+2 what is da answer ill gib bralniest
Answers
Answer:
4
Step-by-step explanation:
2+2=4
Answer:
Step-by-step explanation:
4
Rewrite 3.16 as a fraction (the 6 is repeating)c
Answers
[tex]3\frac{16}{99} = \dfrac{313}{99}= 3.161616161616.....[/tex]
Please help with this
Answers
Answer:
2. Not Divisible
3. Divisible
4. Divisible
5. Divisible
6. Not Divisible
7. Divisible
Step-by-step explanation:
Question 2. Is 629,257 divisible by 5?
- Numbers that are divisible by 5 should end with either 5 or 0.
- The ending term of [629,257] is 7, which is neither 5 nor 0. Therefore, it is not divisible.
Question 3. Is 3,791,916 divisible by 2?
- Numbers that are divisible by 2 should end with an even number or 0, which include 0, 2, 4, 6, 8.
- The ending term of [3,791,916] is 6, which is an even number. Therefore, it is divisible.
Question 4. Is 63,726,125 divisible by 5?
- Numbers that are divisible by 5 should end with either 5 or 0.
- The ending term of [63,726,125] is 5. Therefore, it is divisible.
Question 5. Is 486,342 divisible by 3?
- In numbers that are divisible by 3, the sum of all digits is a multiple of 3.
- The sum of all digits of [486,342] is [4 + 8 + 6 + 3 + 4 + 2 = 27].
- 27 / 3 = 9
- Since the sum of all digits is divisible by 3, then 486,342 is divisible by 3.
Question 6. Is 474,493 divisible by 10?
- Numbers that are divisible by 10 should end with 0.
- The ending term of [474,493] is 3, which is not 0. Therefore, it is not divisible.
Question 7. Is 53,017,587 divisible by 9?
- In numbers that are divisible by 9, the sum of all digits is a multiple of 9.
- The sum of all digits of [53,017,587] is [5 + 3 + 0 + 1 + 7 + 5 + 8 + 7 = 36].
- 36 / 9 = 4
- Since the sum of all digits is divisible by 9, then 53,017,587 is divisible by 9.
The graph shown is the solution set for which of the following inequalities?
Answers
Answer:
b is your answer hope it is helpful
Answer:
b is the correct answer
Step-by-step explanation:
the answer is b
a students cost for last semester at her community college was $2100. She spent $336 of that on books. What percent of last semesters college cost was spent on books?
Answers
Answer:
16%
Step-by-step explanation:
To find the percent, take the cost of the books over the total
336/2100
.16
Multiply by 100 to change to percent
16%
The width of a rectangle is
3
inches less than the length. The perimeter is
54
inches. Find the length and the width.
please help asap!!!
Answers
Answer:
let length be x
b = x - 3
perimeter = 2( l + b)
54 = 2(x+x-3)
27 = 2x - 3
30 = 2x
x = 15
l = 15
b = 15 - 3
b = 12
Can someone help me with this?
Answers
Answer:
183.3 in^3
Step-by-step explanation:
Find the volume of the rectangular bottom
V = l*w*h
V = 5*5*6 =150 in^3
Find the volume of the triangular pyramid
V = 1/3 Bh where B is the area of the base and h is the height
V = 1/3 ( 5*5) * 4 = 100/3
Add the two volumes together
150 + 100/3
150 +33.3
183.3 in^3
