Answer:
x = (6[tex]\sqrt{2}[/tex])/(4[tex]\sqrt{2}[/tex] -3)
Step-by-step explanation:
sin60 degree = [tex]\sqrt{3}[/tex] /2
cos30 degree = 1/2
tan 45 degree = sin45 degree / cos45 degree = ([tex]\sqrt{2}[/tex]/2)/([tex]\sqrt{2}[/tex] /2) = 1
cot 30 degree = cos30 / sin30 = ([tex]\sqrt{3}[/tex] /2)/(1/2) = [tex]\sqrt{3}[/tex]
so, let us plug the above values in the given eqution and solve for x
3([tex]\sqrt{3}[/tex] /2 ) + x(1/2) *1 = x([tex]\sqrt{3}[/tex])
3([tex]\sqrt{3}[/tex] /2 ) = x([tex]\sqrt{3}[/tex]) -x(1/2)
3([tex]\sqrt{3}[/tex] /2 ) = x(([tex]\sqrt{3}[/tex])-(1/2)) (by taking x as a common factor)
3([tex]\sqrt{3}[/tex] /2 ) = x(((2[tex]\sqrt{3}[/tex])-(1))/2)) (making the same common denominator
now devide both sides by (((2[tex]\sqrt{3}[/tex])-(1))/2))
x = 3([tex]\sqrt{3}[/tex] /2 ) / (((2[tex]\sqrt{3}[/tex])-(1))/2))
x = 3([tex]\sqrt{3}[/tex] ) / ((2[tex]\sqrt{3}[/tex])-(1))
Please help me!!!!!!!!
90 of 40 proportions
Please help!!!!!!!:>
Answer:
answer is (x+16)(x-3) I'm sure
______________________________
1.) Factor the expression by grouping:
- First, the expression needs to be rewritten as [tex]x^2+ax+bx-48[/tex]. To find a and b, set up a system to be solved:
[tex]a+b=13[/tex][tex]ab=1(-48)=-48[/tex]2.) List all such integer pairs that give product −48:[tex]-1,48[/tex][tex]-2,24[/tex][tex]-3,16[/tex][tex]-4,12[/tex][tex]-6,8[/tex]3.) Calculate the sum for each pair:[tex]-1+48=47[/tex][tex]-2+24=22[/tex][tex]-3+16=13[/tex][tex]-4+12=8[/tex][tex]-6+8=2[/tex]4.) The solution is the pair that gives sum 13:[tex]a=-3[/tex][tex]b=16[/tex]5.) Rewrite [tex]\bold{x^2+13x-48}[/tex]:[tex]x^2+13x-48=(x^2-3x)+(16x-48)[/tex]6.) Factor out [tex]\bold{(x)}[/tex] in the first and 16 in the second group:[tex]x(x-3)+16(x-3)[/tex]7.) Factor out common term [tex]\bold{x-3}[/tex] by using distributive property:[tex](x-3)(x+16)[/tex]
So your answer is [tex]\bold{(x-3)(x+16)}[/tex] or [tex]\bold{(x+16)(x-3)}[/tex].
______________________________
The Beauty Mart offers a 9-ounce bottle of shampoo for $9.79. It is advertising a 34-ounce bottle of the same brand at a special price of $36.36. Which bottle is the better buy?
Answer:
the 34 ounce bottle
Step-by-step explanation:
because one ounce out of the 34 ounce bottle equals $1.06 and one ounce out of the 9 ounce bottle equals $1.09 so essential buying the 24 ounce bottle you would be getting more for your money
A trapezoid with two right angles and two 14-inch sides is a unique quadrilateral.
True or False ?
Answer:
No
Step-by-step explanation:
we dont have 3 side measurements and two known diagonals
IF 2 + 2 = 4 AND 4 + 4 = 8 WHY AM I STILL BROKE !!!!!
Answer:
You are still broke because you forgot that you have no money to add with
Step-by-step explanation:
triangle congruence what is the answer
Answer:
true (SSS)
Step-by-step explanation:
If two triangles have the same shape and lenghts, then they are congruent. In this instance they are congruent because of three sides. Meaning SSS congruence
PLEASE HELP! WILL MARK BRAINLIEST IF U ANSWER CORRECTLY! IF WRONG U WONT GET IT
Answer:
144yd^2
Step-by-step explanation:
Did this before
Find a three-digit number, which is 5 times greater than the product of it's digits.
Answer:
1,500 and 300
Step-by-step explanation:
300 x 5 = 1,500
Factor:
522
-
28x + 32
Answer:
it is A or D but i pick D
Step-by-step explanation:
This is due today!! Brainliest to whoever answers it correctly.
Answer:
First you need to plot points then add the points
Step-by-step explanation:
One angle of an isosceles triangle measures 26°. Which other angles could be in that isosceles triangle
Answer:
the other angles would be each 77°
and 2 angles are equal in an isosceles triangle
Step-by-step explanation:
hope it helps you
Using synthetic division, find the quotient Q(x) and the remainder R if the polynomial P(x) = x3 − 2x2 − 5x + 6 is divided by (x − 1).
I will mark brainliest if correct
Answer:
Step-by-step explanation:
1_| 1 -2 -5 6
1 -1 -6
1 -1 -6 0
Q(x)= x^2 - x - 6
R: 0
What is the exact circumference of the circle?
10 ft
20 ft
40 ft
60 ft
Answer:20 ft
Step-by-step explanation:
algebra 1 evaluating algebraic expressions?
3x=10
Answer:
x=3.33333333
Step-by-step explanation:
Answer:
x = 10/3
Step-by-step explanation:
Divide the coefficient of x (3) on both sides, 3x/3 = 10/3 - then divide the three and the three to get 1 (which stays as x) and then divide ten by three or just leave it as an improper fraction (this all depends on what your teacher's preference) and then you will get the final answer of x = 10/3 or x = 3.3.
Hope this helps, and if you need additional help regarding this topic feel free to ask me again in the comment section :)
Describe the slopes of parallel lines ?
Answer:
If there is parallel lines, they are equal, they have different y intercepts
Step-by-step explanation:
Parallel lines have identical slopes.
Answer:
Parallel lines are straight lines that NEVER intercept.
Step-by-step explanation:
You decide to buy a custom frame for a painting which measures 4 by 6 inches. If the framing material costs $2 per inch, what is the total cost of framing material?
Answer:
6 x 4 = 24 x $2 = $48
Step-by-step explanation:
The total cost of the rectangular frame is C = $240.
What is rectangle?A rectangle is a two-dimensional shape in which the opposite sides are parallel and equal to each other and all four angles are right angles.
Given that, a painting measures 4 by 6 inches, the framing material costs $2 per inch,
We need to find the total cost of framing material
The perimeter is given by:
P = 2x(L + W)
In this case, we know that the frame is 6 inches by 14 inches, then the perimeter will be:
P = 2x(6in + 14in)
P = 2x20in = 40in
Since, the framing material costs $6 per inch, then the total cost of the frame will be:
cost = 40x$6 = $240
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A car is traveling at a speed of 50 meters per second. What is the cars speed in kilometers per hour? How many kilometers will the car travel in 3 hours?
Answer:
180 kilometers per hour, 540 in 3 hours
Find the slope of the line that passes through the given
points.
1. (-10, -12), (-8,-8), (-6. - 4); (-4, 0)
2. (-4, 2), (0, 1), (4,0), (8, -1)
3. (-7, -7), (0, -8), (7, -9). (14, -10)
4. (-2, 2), (0, 3), (2, 4), (4, 5)
5. (2, -11), (4, -25), (6, -39), (8, –53)
6. (-11, -38), (-5, -14), (1,10), (7, 34)
Find the slope and the y-intercept of the graph of the
linear equation,
7. y = -4x + 6
8. y = -1
9. 4r + y = -1
10. y = 6x – 4
11. -x - 4y + 8 = 0
12. 2.r - 12y + 10 = 0
Answer:
Step-by-step explanation:
4x − 3= −12x + 13
4x + 12x = 13 + 3
16x = 16
x = 1
1)
The slope of the line passing through these points is 2.
2)
The slope of the line passing through these points is -1/4.
3)
The slope of the line passing through these points is -1/7.
4)
The slope of the line passing through these points is 1/2.
5)
The slope of the line passing through these points is -7.
6)
The slope of the line passing through these points is 6.
7)
The slope of y = -4x + 6 is -4 and the y-intercept is 6.
8)
The slope is 0 and the y-intercept is -1.
9)
The slope is -4 and the y-intercept is -1.
10)
The slope of y = 6x - 4 is 6 and the y-intercept is -4.
11)
The slope is -1/4 and the y-intercept is 2.
12)
The slope is 1/6 and the y-intercept is 5/6.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Slope = (d - b) / (c - a)
Where (a, b) and (c, d) are the two points.
Now,
The slope between (-10, -12) and (-8, -8) is 2.
The slope between (-8, -8) and (-6, -4) is 2.
The slope between (-6, -4) and (-4, 0) is 2.
Therefore,
The slope of the line passing through these points is 2.
The slope between (-4, 2) and (0, 1) is -1/4.
The slope between (0, 1) and (4, 0) is -1/4.
The slope between (4, 0) and (8, -1) is -1/4.
Therefore,
The slope of the line passing through these points is -1/4.
The slope between (-7, -7) and (0, -8) is -1/7.
The slope between (0, -8) and (7, -9) is -1/7.
The slope between (7, -9) and (14, -10) is -1/7.
Therefore,
The slope of the line passing through these points is -1/7.
The slope between (-2, 2) and (0, 3) is 1/2.
The slope between (0, 3) and (2, 4) is 1/2.
The slope between (2, 4) and (4, 5) is 1/2.
Therefore,
The slope of the line passing through these points is 1/2.
The slope between (2, -11) and (4, -25) is -7.
The slope between (4, -25) and (6, -39) is -7.
The slope between (6, -39) and (8, -53) is -7.
Therefore,
The slope of the line passing through these points is -7.
The slope between (-11, -38) and (-5, -14) is 6.
The slope between (-5, -14) and (1, 10) is 8.
The slope between (1, 10) and (7, 34) is 6.
Therefore,
The slope of the line passing through these points is 6.
Now,
The equation in slope intercept form is y = mx + c
where m is the slope of the line and c is the y-intercept.
So,
The slope of y = -4x + 6 is -4 and the y-intercept is 6.
The equation y = -1 represents a horizontal line, so the slope is 0 and the y-intercept is -1.
To find the slope-intercept form, we can rewrite 4r + y = -1 as y = -4r - 1.
Therefore,
The slope is -4 and the y-intercept is -1.
The slope of y = 6x - 4 is 6 and the y-intercept is -4.
To find the slope-intercept form, we can rewrite -x - 4y + 8 = 0 as -4y = x - 8, then divide both sides by -4 to get y = (-1/4)x + 2.
Therefore,
The slope is -1/4 and the y-intercept is 2.
To find the slope-intercept form, we can rewrite 2r - 12y + 10 = 0 as 12y = 2r + 10, then divide both sides by 12 to get y = (1/6)r + 5/6.
Therefore,
The slope is 1/6 and the y-intercept is 5/6.
Thus,
The slope and the y-intercept are given above.
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Review an
1. Without computing, state whether the
sign is positive or negative in each of the
following cases:
32 * (-12)
; 4.75 × (-2.4) < 3;
(-2.15) * (-14.6); (-2) (-3) × (-7);
10.5*(-2)*(-3.5); (-3.7)*(-2.6)*(-0.7)x4
Answer:
1. 32 * (-12) = negative
2. 4.75 * (-2.4) < 3 = negative
3. (-2.15) * (-14.6) = positive
4. (-2) (-3) × (-7) = negative
5. 10.5*(-2)*(-3.5) = positive
6. (-3.7)*(-2.6)*(-0.7)x4 = negative
Write the sentence as an equation.
the quotient of t and 218 is equal to 156
Answer:
t/218 = 156
Step-by-step explanation:
help me plsssssssssssssa
Answer:20
Step-by-step explanation:
3. A cell phone plan costs $0.20 cents per minute. Lisa
has budgeted $35 a month for her cell phone. How
many minutes Lisa can use each month?
Answer:
175 minutes or 2 hrs and 55 minutes
Step-by-step explanation:
35÷0.20 and you'll get 175
If cell phone plan costs $0.20 cents per minute. Lisa has budgeted $35 a month for her cell phone then 175 minutes Lisa can use each month
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that A cell phone plan costs $0.20 cents per minute.
Lisa has budgeted $35 a month for her cell phone.
We need to find how many minutes Lisa can use each month.
Let us form a proportional equation to find this.
Let x be the number of minutes Lisa can use each month.
0.20/1=35/x
Apply cross multiplication
x=35/0.2
x=175
Hence, 175 minutes Lisa can use each month.
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helppp meeee pleaseeee
Answer:
0.3907 I think hope this helps
Bis Devis traveled 372.645 miles last
sear on business. What is the value
of 6 in 372.6452
Answer:
dont forget the point of contact dedo I show you how w
what is the square root of 2
Answer:
heyy its 1.41421356237
Answer:
1.414
Step-by-step explanation:
square root of two is 1.414
how can I solve this problem?
Whats 2-(-4) as an addition equation
Answer:
2+4
Two negatives cancel out for a positive. Think: subtraction is just finding the difference, the total difference between them would be the same as doing 2 + 4, or 6
Find the missing height. The height of a street light is 46 feet. It casts a 40-foot shadow. At the same time, a man standing next to the street light casts a 5-foot shadow. How tall is the man? If needed, round your answer to the nearest hundredth.
Answer:
11 feet
Step-by-step explanation:
Which expression best represents “7 fewer than 4 times a number x”?
Answer:
4x-7
Step-by-step explanation:
