Find the length of side xx in simplest radical form with a rational denominator.
Answers
Answer:
[tex]\frac{5\sqrt{2} }{2}[/tex]
Step-by-step explanation:
Divide 5 by [tex]\sqrt{2}[/tex] , then rationalize denominator
Answer:
Solution given:
Since the given triangle is isosceles and right angled triangle
perpendicular [p]=base[b]=x
hypotenuse [h]=5
we have
by using Pythagoras law
p²+b²=h²
x²+x²=5²
2x²=25
x²=25/2
x²=18
x=[tex]\sqrt{\frac{25}{2}}[/tex]
x=[tex]\bold{\frac{5\sqrt{2}}{2}}[/tex]
Related Questions
PROVE that x² + y² = r². you must explain your answer.
Answers
Answer:
Suppose f(x,y)=x2+y2
Let’s look at the partial derivatives of this function:
∂f∂x=2x
∂f∂y=2y
So apparently, at each (x,y) coordinate pair (black dots below), the gradient of f(x,y) is pointing in the same direction as the position vector itself (it is only twice as large). Knowing that an isocline f(x,y)=C (a curve on which f(x,y) is constant) must be perpendicular to the gradient of f(x,y) . This yields the following image:
This image depicts for two position vectors (black dots), the gradient (blue vectors), and the perpendicular direction in which f(x,y) is constant (red line fragments).
Doing this for many positions we see that this creates circles:
Therefore setting f(x,y)=C , yields a circle in the 2D plane, with radius r=C−−√ .
EDIT: again, thanks to Gilles Castel for the nice graphics!
A conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are thehyperbola, the parabola, and the ellipse. The circle is a special case of the ellipse, and is of sufficient interest in its own right that it was sometimes called a fourth type of conic section.
In the Cartesian coordinate system, the graph of a quadratic equation in two variables is always a conic section and all conic sections arise in this way. The most general equation is of the form
The conic sections described by this equation can be class
Consider a triangle with hypotenuse r and angle θ . As θ goes from 0 to 2π it traces out a circle.
The x and y coordinates are give by the basic trig equations:
x=rsin(θ)
y=rcos(θ)
Now if we compute x2+y2 we get
x2+y2
=r2sin2(θ)+r2cos2(θ)
=r2(sin2(θ)+cos2(θ))
=r2(1)
Hence x2+y2=r2 .
which of the gollowing cirxles lie completely within the third quadrant? Check all that apply
Answers
Option B
Option C
These two circles lie completely within the third quadrant
Answered by GAUTHMATH
Solve the following simultaneous equations : 5m - 3n = 19; m - 6 = -7
Answers
Answer:
m = -1
n= -8
Step-by-step explanation:
5m -3n = 19
m - 6 = -7
solve for m:
m = -7+6
m = -1
plug in m
5(-1) - 3n = 19
-5 - 3n = 19
-3n = 24
n = -8
If the vertex of a parabola is (-4, 6) and another point on the curve is (-3, 14), what is the coefficient of the squared expression in the parabola's equation?
Answers
Answer:
[tex]y=a(x-h)^{2} +k[/tex]
[tex](x,y)=(-3,14)[/tex]
[tex](h,k)=(-4,6)[/tex]
[tex]14=a(-3-(-4))^{2})+6[/tex]
[tex]14=a(-3+4)^{2} +6[/tex]
[tex]14=a(1)^{2} +6,-6[/tex]
[tex]8=a[/tex]
[tex]ANSWER:8[/tex]
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HOPE IT HELPS
HAVE A GREAT DAY!!
Find the area of the rectangle whose dimensions are 5 cm x 9 cm.
Answers
Answer:
45 square cm
Step-by-step explanation:
To find the area you multiply the length by the width. 5 times 9 is 45
find the value of the expressions 3x^3-2y^3-6x^2y^2+xy for x=2/3 and y=1/2
Answers
Hi!
[tex]3x^3-2y^3-6x^2y^2+xy=\\\\=3\cdot(\frac{2}{3})^3-2\cdot(\frac{1}{2})^3-6\cdot(\frac{2}{3})^2\cdot(\frac{1}{2})^2+\frac{2}{3}\cdot\frac{1}{2}=\\\\=3\cdot\frac{8}{27}-2\cdot\frac{1}{8}-6\cdot\frac{4}{9}\cdot\frac{1}{4}+\frac{1}{3}=\\\\=\frac{8}{9}-\frac{1}{4}-\frac{2}{3}+\frac{1}{3}=\frac{8}{9}-\frac{1}{4}-\frac{1}{3}=\frac{32}{36}-\frac{9}{36}-\frac{12}{36}=\boxed{\frac{11}{36}}[/tex]
If the numerator and the numerator of a fraction are subtracted 1, the resulting fraction is 2/3, if the resulting fraction is increased by 1, the resulting fraction is 3/4, determines the fraction.
Answers
Answer:
Simplify the expression.
Exact Form:
1 /2
Decimal Form:
0.5
Answer:
The Answer is
Fraction Form: 1/2
Decimal Form: 0.5
Percentage form: 50%
Step-by-step explanation:
I got the answer 1/2 by Adding 1 by 2/3, And then after that I got the answer 2/3 and with that I multiplyied it with 3/4 and I got 1/2
Given Q(x) = 7x − 3 and P(x) = 7x3 − 3x2 + 42x − 27, find P(x) Q(x) . (Divide using long division.)
Answers
Complete question:
Given Q(x) = 7x − 3 and P(x) = 7x3 − 3x2 + 42x − 27, find P(x) ÷ Q(x) . (Divide using long division.)
Answer:
[tex]\frac{7x^3 \ - \ 3x^2 \ + \ 42x \ - \ 27}{7x \ - \ 3} = \ \ x^2 + 6 \ \ \frac{-9}{7x \ - \ 3}[/tex]
The quotient = x² + 6 and the remainder = - 9
Step-by-step explanation:
Given;
Q(x) = 7x − 3
P(x) = 7x³ − 3x² + 42x − 27
To divide P(x) by Q(x) using long division, we apply the following method;
x² + 6
---------------------------------
7x − 3 √ 7x³ − 3x² + 42x − 27
− (7x³ - 3x²)
-------------------------------------
42x − 27
− (42x − 18)
----------------------------------------
− 9
[tex]Therefore, \ \frac{7x^3 \ - \ 3x^2 \ + \ 42x \ - \ 27}{7x \ - \ 3} = \ \ x^2 + 6 \ \ \frac{-9}{7x \ - \ 3}[/tex]
The quotient = x² + 6 and the remainder = - 9
Just Question B!
One of the numbers in the diagram is chosen at random, find the probability that the number is in set B, giving your answer as a decimal.
Gibing brainlist!
Answers
Answer:
0.4 or 0.40
Step-by-step explanation:
There are 10 total numbers. 4 of them are in set B.
So, 4/10 are in set B.
The probability is 0.4 because 4 divided by 10 is 0.4.
what is the measure of arc TUV
Answers
Answer:
196°
Step-by-step explanation:
A full circle has an arc measure of 360°.
360° - 164° = 196°
Answer: 196°
AE = x=4.875, and EC = 13-4.875 = 8.125.
If I place point E at a distance of 4.875 units from A on AC-that is, E15.875, 1)-then the ratio of the segments into which e divides AC is equal to
the ratio of AD to DB.
Question 3
Place point that you found in Question 2 on AC. Draw a line passing through D and E, and measure and record the slopes of DE and BC.
Answers
Answer:
This is the answer for both Edmentum and Plato!
Step-by-step explanation:
Hope it helped
A florist has to pay $7.50 each time a customer chooses a competitor for the delivery of flowers. Which expression
shows the amount that the florist earns if p people use a competitor for delivery, and the company makes $320.00
before any payment is made to their competitors?
0 320-7.500
0 320+ 7.500
7500-320
07500 + 320 help!
Answers
Answer:
320-7.500
Step-by-step explanation:
Someone please answer this
Answers
Answer:
(x - 1)(5x - 6)
Step-by-step explanation:
Given
5x² - 11x + 6
Consider the factors of the product of the coefficient of the x² term and the constant term (ac) which sum to give the coefficient of the x- term (b)
ac = 5 × 6 = 30 and b = - 11
The factors are - 5 and - 6
Use these factors to split the x- term
5x² - 5x - 6x + 6 ( factor the first/second and third/fourth terms )
= 5x(x - 1) - 6(x - 1) ← factor out (x - 1) from each term
= (x - 1)(5x - 6)
You want to buy juices while shopping at ShopRite but are stuck between buying a bottle of apple juice and orange juice. The apple juice is 2 Liters and costs $3.00 while the orange juice is 3 Liters and costs $3.99. Which juice bottle is the better deal?
Answers
Answer:
Orange juice
Step-by-step explanation:
The bottle of apple juice costs 3 dollars for 2 liters, and the bottle of orange juice costs 3.99 dollars for 3 liters. To see which bottle has the better deal, we need to make the liters the same so we can compare them.
We can divide the 2 liters for 3 dollars ratio by 2 to get that 1 liter of apple juice costs 1.5 dollars, and we can divide the orange juice ratio by 3 to get that 1 liter of orange juice costs 1.33 dollars. We see that for 1 liter, orange juice is cheaper, so it is the better deal.
Please help I don't understand this at all
Answers
Answer:
The answer is 48in
Step-by-step explanation:
Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed StartFraction 4 over 17 EndFraction cups from the first orange, StartFraction 3 over 10 EndFraction cups from the second orange, StartFraction 9 over 20 EndFraction cups from the third orange, StartFraction 3 over 11 EndFraction cups from the fourth orange, and StartFraction 7 over 15 EndFraction cups from the fifth orange. Patel estimates that he needs 3 cups of orange juice for his family. About how much more orange juice does he need to reach his estimate?
Answers
Answer:A
Step-by-step explanation:this is not true
Answer:
It A
Step-by-step explanation:
I had the question hope this helps!!!!!
solve the logarithmic equation
[tex] log_{3} {x}^{2} - log_{3}(x + 6) = 1[/tex]
Answers
Answer:
Step-by-step explanation:
Using log(x) - log(y) = log (x/y)
logx^2 - log(x+6) = 1 is equal to:
log (x^2/(x+6)) = 1
Taking inverse base 3 log on both side:
x^2/(x+6) = 3
x^2 = 3x + 18
x^2 - 3x - 18 = 0
(x-6)(x+3) = 0
x = 6 or -3
Answer:
Step-by-step explanation:
1 = base 3log3
substitute
logx^2-log(x+6) = log3
logx^2 - log(x+6) - log3 = 0
log( (x^2/(x+6))/3 ) = 0
anti-log
x^2/3(x+6) = 1
x^2 = 3(x+6)
x^2-3x-18=0
x=6 n -3
anti-log base 3 on both sides:
if we have 765 toys and there are 3 people how many toys should we give to each man
Answers
Answer:
255 is the answer
Step-by-step explanation:
Divide 765 by 3 and the answer will come .
Hope it will help u
What is the answer for y?
Answers
the answer is in the picture
[tex]solve \: \\ \\ find \: the \: area \: of \: rectangle \: \\ \\ length = 11cm \\ \\ width = 9cm[/tex]
Answers
Area = l ×b
[tex]a = l \times b \\ a = 11 \times 9 \\ a = 99[/tex]
1/5 + 3/4 + 1/2
please helpppo asap
Answers
Answer:
29/20 or 1 9/20 or 1.45
Answer:
[tex]\frac{1}{5}+\frac{3}{4}+\frac{1}{2}[/tex]
lease common multiplier of 5,4,2 is 20
[tex]\frac{4}{20}+\frac{15}{20}+\frac{10}{20}[/tex]
[tex]Add\: 4+15+10= 29[/tex]
[tex]1/5+3/4+1/2=29/20[/tex]
[tex]Answer :\frac{29}{20}[/tex]
--------------------------
hope it helps
have a great day!!
Please hurry
Consider the function represented by the table.
What is f(0)?
х
0
f(x)
6
7
0
5
O 4
O 5
O 6
4.
7
Answers
Answer:
[tex]f(0) = 6[/tex]
Step-by-step explanation:
Given
See attachment for table
Required
Determine [tex]f(0)[/tex]
From the table;
[tex]f(x) = 6[/tex] when [tex]x =0[/tex]
So:
[tex]f(0) = 6[/tex]
A study of homeowners in the 5th congressional district in Maryland found that their annual household incomes are normally distributed with a mean of $41,182 and a standard deviation of $11,990 (based on data from Nielsen Media Research). If an advertising campaign is to be targeted at those whose household incomes are in the top 20%, find the minimum income level for this target group.
Answers
Answer:
The minimum income level for this target group is of $51,253.6.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of $41,182 and a standard deviation of $11,990
This means that [tex]\mu = 41182, \sigma = 11990[/tex]
Find the minimum income level for this target group.
The 100 - 20 = 80th percentile, which is X when Z has a p-value of 0.8, so X when Z = 0.84.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.84 = \frac{X - 41182}{11990}[/tex]
[tex]X - 41182 = 0.84*11990[/tex]
[tex]X = 51253.6[/tex]
The minimum income level for this target group is of $51,253.6.
Which represents the inverse of the function f(x) = 4x?
O
h(x) = x + 4
h(x) = X- 4
h(x)
3,
4
h(x) = =x
Answers
step below. Question 1 Hexagon AGHBGHCGHD GHEGHFGH is a reflected image of hexagon ABCDEF. The midpoints of the sides of hexagon ABCDEF are also shown. Drag the line of reflection, Għ until the image coincides with the preimage. At this location, if the preimage flips about the line of reflection, it will flip onto itself. In how many different positions can you place GHso the image reflects onto the preimage in this manner? Describe the different positions. Be sure to pass the line of reflection through both vertices and midpoints before answering.
Answers
Answer:
Hexagon AGHBGHCGHDGHEGHFGH coincides with hexagon ABCDEF when GH passes through the midpoints of opposite sides; that is, it is a perpendicular bisector of the two sides. HexagonAGHBGHCGHDGHEGHFGH also coincides with hexagon ABCDEF when the line of reflection joins a pair of vertices opposite one another on the hexagon. There are three perpendicular bisectors and three pairs of opposite vertices. In all, there are six lines of reflection that will map the hexagon back onto itself.
Step-by-step explanation:
Evan, James, and Burt are fishing in a lake that has 200 fish. They are going to be fishing for three hours. What is the probability that they each will catch 3 fish?
Answers
Answer:
The probability that they each will catch 3 fish is 0.000063956
Step-by-step explanation:
The hyper geometric distribution is used to solve this as it has a population, a sample , number of successes for both the population and sample.
Here
Population size= N =200
Sample size= n =9= (3*3)
Number of successes in population = k = 3 hours
Number of successes in sample = x= 3
Applying the hyper geometric distribution
P (x=3) = kCx *(N-k) C (n-x)/ N Cn
= 3 C 3 * 197 C 6/ 200 C 9
=0.000063956
The probability that they each will catch 3 fish is 0.000063956
In a survey of 600 students in a school. 150 student were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee Find how many Students were taking neither tea nor coffee
Answers
Answer:
125
Step-by-step explanation:
600=150+225+100+X=475+X
600-475=125=X
X=125
Answer: 325 I believe!
Step-by-step explanation:
Will mark brainlest help me please
Answers
Answer:
no le entiendo por qué estás en inglésHELLPPPPPPPPPPPP i will give brainliest
Answers
Answer:
3[tex]\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{18}[/tex]
[tex]\sqrt{9}[/tex] [tex]\sqrt{2}[/tex]
3[tex]\sqrt{2}[/tex]
If AVB has a measure of 88° and VM is its angle bisector, what is the
measure of AVM?
A. 88°
B. 22°
C. 176°
D. 44
Answers
Answer:
B. 22°
Step-by-step explanation:
Angle bisector divides an angle into two equal angles.
Angle AVM = Angle MVM = Angle AVB / 2
Angle AVM = Angle AVB / 2
Angle AVM = 88 / 4
Angle AVM = 22°
Answer:
44
Step-by-step explanation:
