Step-by-step explanation:
rewrite the equation as follows
c2d = a - b
divide both sides by 2d
c = (a - b)/2d
What is another way to label KF? What is another point that is on Line AC? Are points A and D collinear? Are points E,D, and K coplanar? (Giving 40 points)
Coplanar points are those that are all in the same PLANE. The other point that lies on line AC is B.
What are Collinear Points and Coplanar points?Collinear Points: Points are collinear if they are all in the same straight line.
Coplanar points: Coplanar points are those that are all in the same PLANE.
A.) Another way to label KF is F K.
B.) The other point that lies on line AC is B.
C.) Yes, Any two points can form a line, thus, A and D are colinear.
D.) Coplanar points are those points that lie in the same place. Although D and K lie on the same plane,j; the point E does not lie on the same plane. Thus, points E, D, and K are not coplanar points.
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Please help! Consider the function y = 9-x^2, where x ≥ 3
What is the inverse of the function? What is the domain of the inverse? Show all of your work
(hint: swap x and y in the domain as well as the function)
Using it's concept, it is found that the inverse function is [tex]y = \sqrt{9 - x}[/tex], and the domain is [tex]x \leq 9[/tex].
How to find the inverse function?The inverse of a function y = f(x) is found exchanging x and y and isolating y. The domain of the inverse is the range of the original function f(x).
In this problem, the function is:
y = 9 - x²
Then, we exchange and isolate y, hence:
[tex]x = 9 - y^2[/tex]
[tex]y² = 9 - x[/tex]
[tex]y = \sqrt{9 - x}[/tex]
The domain is [tex]9 - x \geq 0 \rightarrow x \leq 9[/tex], as looking at the graph of y = 9 - x², the range is [tex]y \leq 9[/tex].
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find the volume of this prism.
The volume of the prism as given with dimensions is; 840cm³.
What is the volume of the prism?The prism given in the task content can be further subdivided to be represented by two rectangular prisms as follows;
First prism = 10cm by 6cm by 8cm.
Second prism = 5cm by 12cm by 6cm
Hence, the volume of the prism is; (10×6×8) + (5×12×6) = 840cm³.
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6.
(06.01 LC)
Choose the correct classification of 4x4 − 4x3 + 10x6. (1 point)
4th degree trinomial
12th degree trinomial
3rd degree trinomial
6th degree trinomial
Find the perimeter of this figure.
22 in.
17 in.
12 in.
12 in.
30 in.
40 in.
? ] = inches
Answer:
133 inches
Step-by-step explanation:
First, you need to do 22 + 17 which is 39
Next, you need to do 39 + 12 which is 51.
Next, you need to do 51 + 12 which is 63.
Next, you need to do 63 + 30 which is 93.
Lastly, you need to do 93 + 40 which is 133.
Remember This:
Perimeter is adding up all the side lengths to get your answer.
I Hope This Helped :D
Answer:
133
Step-by-step explanation:
please help me to find the answer Y=2X 3X+4Y=22 Y=2X 3X+4Y=22
[tex]\left\{\begin{array}{ccc}y=2x&(1)\\3x+4y=22&(2)\end{array}\right[/tex]
Put (1) to (2):
[tex]3x+4(2x)=22\\3x+8x=22\\11x=22\qquad|\text{divide both sides by 11}\\\boxed{x=2}[/tex]
Substitute the value of x to (1):
[tex]y=2\cdot2\\\boxed{y=4}[/tex]
Solution:
[tex]\huge\boxed{\left\{\begin{array}{ccc}x=2\\y=4\end{array}\right}[/tex]
Which expression can be used to find the difference of the polynomials? (10m – 6) – (7m – 4) [10m (–7m)] [(–6) 4] (10m 7m) [(–6) (–4)] [(–10m) (–7m)] (6 4) [10m (–7m)] [6 (–4)]
The expression can be used to find the difference of the polynomials is [10m (–7m)] [(–6) 4]
Difference of polynomials
A polynomial is a function that has a leading degree of 3 and above.
Given the expression below
(10m – 6) – (7m – 4)
Expand
10m - 6 - 7m + 4
Collect the like terms
10m - 7m - 6 + 4
Simplify
3m -2
Hence the expression can be used to find the difference of the polynomials is [10m (–7m)] [(–6) 4]
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Hi, please help me find the volume of this sphere :)
Answer: 8788
Step-by-step explanation:
Use the formula and use 3 for pi
13cm is the radius
[tex]13^{3\\[/tex] = 2197
2197 x 3 = 6591
6591 x 4/3 = 8788
The sides of a square bedroom measure 3.5 yards. if carpet costs $16 per square yard, how much will it cost to cover the floor?if one side of a square notebook measures 20 cm, what is the area of the front cover of the notebook?
Answer:
£196 and 400cm
Step-by-step explanation:
3.5^2 = 12.25 will give the whole floor
12.25 × 16 = 196
20^2= 400cm is the front cover of the book
In a large population, 55% of the people have been vaccinated. if 5 people are randomly selected, what is
the probability that at least one of them has been vaccinated?
give your answer as a decimal to 4 places.
Using the binomial distribution, it is found that there is a 0.9815 = 98.15% probability that at least one of them has been vaccinated.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, the values of the parameters are:
n = 5, p = 0.55
The probability that at least one of them has been vaccinated is given by:
[tex]P(X \leq 1) = 1 - P(X = 0)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{5,0}.(0.55)^{0}.(0,45)^{5} = 0.0185[/tex]
Then:
[tex]P(X \leq 1) = 1 - P(X = 0) = 1 - 0.0185 = 0.9815[/tex]
0.9815 = 98.15% probability that at least one of them has been vaccinated.
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Select all the functions that show an inverse variation...
a) y=6x
b) y=3/x
c) y=1/3x
d) y= -.07x
e) y= 2/x+4
f) xy=-3
PLEASE HELP ILL MARK BRAINLEST
What is the length of side BC of the triangle?
Enter your answer in the box.
Answer:
28
Step-by-step explanation:
2x + 7 = 4x - 7
14 = 2x
x = 7
BC = 4x = 4(7) = 28
Which is precisely defined using the undefined terms point and plane?
O circle
O line segment
O perpendicular lines
O ray
Answer:
Option A: circle
Step-by-step explanation:
A circle is a set of points in a plane that are equidistant from a common center point.
Which of the following are solutions to the equation below?
4x^2 + 4x + 1 = 9
Check all that apply
Answer:
Option B and D
Step-by-step explanation:
Subtract 9 from both sides :
4x² + 4x - 8 = 0
Divide both sides by 4 :
x² + x - 2 = 0
Factorise using factorisation method :
x² - x + 2x -2 = 0
x(x - 1) +2(x-1) = 0
(x+2)(x-1) = 0
Solve for x
x +2 = 0 OR x - 1 = 0
x = -2 OR x = 1
Answer will be Option B and D
Hope this helped and have a good day
Answer:
option b. –2 and d. 1 are correct.
*For detailed explanation refer to the attachment
Find the interest rate for a principal of $8635 and charged $33549 in interest for 11 years.
Round your answer to 1 decimal place.
Answer:
rate = 0.4 %
Step-by-step explanation:
Interest = principal x rate x time
33549 = 8635 x r x 11
33549 = 94985r
r = 33549/94985
r = 0.3532
r = 0.4
rate = 0.4 %
What is the volume in cubic inches of the cylinder, rounded to the nearest cubic inch? Do not use units or commas in your answer.
Answer: You didn't give any data about the cylinder
Step-by-step explanation:
The cylinder is just an extruded circle. To calculate the cylinder's volume you need to multiply its base circle by the cylinder's height.
To do that, get the circle's radius and square it. Multiply the squared radius by 3.14.
After that, multiply the result by the cylinder's height
can someone help me with this question with details
Answer:
I think the answer is 5 ( if wrong then do a low rating)
Step-by-step explanation:
The way I found the answer was by using PEDMAS so first I handled [(4 - (-5)) x (-7)] which is the same as 4 + -5 which equals -1 and when multiplied by -7 equals positive 7 because whenever you multiply 2 negatives you get a positive.
Next I solved 6 / (-3) which is -2 since whenever a positive is divided by a negative the quotient is negative. Now the equation is:
-2 + 7 and when solved is -2 + 7 = 5
solve for x -3x > 12
Answer:
x < -6
Step-by-step explanation:
x -3x > 12
Combine like terms
-2x>12
Divide by -2, remembering to flip the inequality
-2x/-2 < 12/-2
x < -6
Answer:
x < -6
Step-by-step explanation:
is the ratio 16: 4 equivalent to 12:3
Yes, because 16 divided by 4 is 4, and 12 divided by 3 is also 4
Help! Will mark the big B for correct answer!
Answer:
The answer is A
Step-by-step explanation:
They both have a maximum of 5!
In the given figure, lines AC and BD intersect each other at point E.
If ∠AEB:∠BEC = 9 : 11, find all the angles.
The value of the angle AED = 99 degree , Angle BEC is 99 degree , angle DEC = 81 degree , angle AEB is 81 degree
What is angle of a Straight Line ?The straight line has an angle of 180 degree.
The two lines AC and BD intersects such that
∠AEB:∠BEC = 9 : 11
Let angle BEC be x
Then
Angle AEB is 9x/11
and angle AEC + BEC = 180 degree
(9x/11) + x = 180
9x +11x = 11 * 180
20x = 11 * 180
x = 99 degree
Angle BEC is 99 degree
and angle AEB is 81 degree
As Angle AED is vertically opposite to angle BEC
Therefore angle AED = 99 degree
As Angle DEC is vertically opposite to angle AEB
Therefore angle DEC = 81 degree.
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In the diagram, the measure of angle 6 is 98°.
A transversal intersects 2 lines to form 8 angles. Clockwise from top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
What is the measure of angle 7?
The measure of angle 7 is 82°.
What is transversal line?
A transversal is defined as a line that passes through two lines in the same plane at two distinct points in the geometry
Given:
angle 6= 98°
As, angle 6 and 7 forms a linear pair then
angle 6 + angle 7 = 180
98 + angle 7= 180
angle= 180-98
angle 7 = 82°
Hence, angle 7 is 82°.
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Select the correct answer.
Which value of n makes the equation true?
-1/2n=-8
OA. -16
OB. - -4
OC. 4
O D. 16
ответ: д
-1/2 * 16 = -8
или 16/(-2) = -8
Answer: by rewriting equation in the form, / 1\2 16 X 4X 4 f=~1_~) (Do-2)2=g=~
Step-by-step explanation: hope this helps
Work out, giving your answer in its simplest form:
2/3 x 3 3/5
Answer: 12/5
Step-by-step explanation:
[tex]3 \frac{3}{5}=\frac{18}{5}\\\\\implies \frac{2}{3} \times 3 \frac{3}{5}=\frac{2}{3} \times \frac{18}{5}\\\\=\frac{36}{15}\\\\=\boxed{\frac{12}{5}}[/tex]
The weight of a cat is normally distributed with a mean of 9 pounds and a standard deviation of 2 pounds. Using the empirical rule, what is the probability that a cat will weigh less than 11 pounds?
If the value of the z-score is 1. Then the probability that a cat will weigh less than 11 pounds will be 0.84134.
What is the z-score?The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
The weight of a cat is normally distributed with a mean of 9 pounds and a standard deviation of 2 pounds.
Then the probability that a cat will weigh less than 11 pounds will be
The value of z-score will be
z = (11 – 9) / 2
z = 1
Then the probability will be
P(x < 11) = P(z < 1)
P(x < 11) = 0.84134
Thus, the probability that a cat will weigh less than 11 pounds will be 0.84134.
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Find the value of X in the given
right triangle.
10
x= [?]°
Enter your answer as a decimal rounded to the
nearest tenth.
Laurie is trying to stay within 10 feet of her current diving depth of –30 feet (with regard to sea level) so that the light is still good but she can be close to the sea life during her scuba dive. Which two equations can be used to find the minimum and maximum depths Laurie wants to stay between?
-30 - x = 10 and -30 - x = –10
-30 + x = 10 and -30 + x = –10
x + 10 = 30 and x + 10 = –30
x – 10 = 30 and x – 10 = –30
The equation that can be used to describe the minimum and maximum depths Laurie wants to stay between is x + 10 = 30 and x + 10 = –30 so the correct answer is option C.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Diving is the art of going down to the depth of the ocean. Divers usually go deep down in the ocean to study the dynamics of ocean life.
The equation that can be used to describe the minimum and maximum depths Laurie wants to stay between is x + 10 = 30 and x + 10 = –30
Therefore the equation that can be used to describe the minimum and maximum depths Laurie wants to stay between is x + 10 = 30 and x + 10 = –30 so the correct answer is option C.
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Solve the 2 problem s hurrryyyy
Answer:
3. n>or=0
5. n>or=0
Step-by-step explanation:
3. -1<or=2n+4-5
=-1<or=2n-1
=1-1<or=2n
=0<or=2n
=n>or=0.
5. 0<or=2n+3n
=0<or5n
=n>or=0
Please solve! And explanation!
A fraction is a way to describe a part of a whole. The value of x is 6.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The value of x can be written as,
[tex]\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{x}}} = \dfrac{7}{13}\\\\\\\dfrac{1}{1+\dfrac{1}{\dfrac{x+1}{x}}} = \dfrac{7}{13}\\\\\\\dfrac{1}{1+\dfrac{x}{x+1}} = \dfrac{7}{13}\\\\\\\dfrac{1}{\dfrac{x+1+x}{x+1}}= \dfrac{7}{13}\\\\\\\dfrac{x+1}{x+1+x}= \dfrac{7}{13}\\\\[/tex]
13x + 13 = 7x + 7 + 7x
13x + 13 = 14x + 7
x = 6
Hence, the value of x is 6.
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Consider the systems of equations below. determine the number of real solutions for each system of equations. system a has real solutions. system b has real solutions. system c has real solutions.
System A has 2 real solutions, System B has 0 real solutions and System C has 1 real solution.
Given a system of equations for A is x²+y²=17 and y=-(1÷2)x, a system of equations for B is y=x²-7x10 and y=-6x+5 and a system of equations for C is y=-2x²+9 and 8x-y=-17.
For system A,
The two systems of equations are
x²+y²=17 ......(1)
y=-1÷2x ......(2)
Substitute the value of equation (2) into equation (1) as
x²+(-x÷2)²=17
x²+(x²÷4)=17
Simplify the above equation by taking L.C.M. as
(4x²+x²)÷4=17
5x²=68
x²=68÷5
x=±3.688
Find the value of y by substituting the value of x in equation (2).
When x=3.688 then y is
y=-(1÷2)×3.688
y=-1.844
And When x=-3.688 then y is
y=-(1÷2)×(-3.688)
y=1.844
Thus, the points where the equations of system A intersect each other is (3.688,-1.844) and (-3.688,1.844)
So, the system of equations of A has 2 real solutions.
For system B,
The two systems of equations are
y=x²-7x+10 ......(3)
y=-6x+5 ......(4)
Substitute the value of equation (4) into equation (3) as
-6x+5=x²-7x+10
x²-7x+10+6x-5=0
x²-x+5=0
Simplify the above quadratic equation using the discriminant rule,
x=(-b±√(b²-4ac))÷(2a)
Here, a=1, b=-1 and c=5
Substitute the values in the discriminant rule as
x=(1±√(1-4\times 5\times 1))÷2
x=(1±√(-19))÷2
x=(1±√(19)i)÷2
Here, the value of x goes into the complex.
So, the system of equations of B has 0 real solutions.
For system C,
The two systems of equations are
y=-2x²+9 ......(5)
8x-y=-17 ......(6)
Substitute the value of equation (6) into equation (5) as
8x-(-2x²+9)=-17
8x+2x²-9+17=0
2x²+8x+8=0
Simplify the above quadratic equation using factorization method as
2x²+4x+4x+8=0
2x(x+2)+4(x+2)=0
(2x+4)(x+2)=0
x=-2,-2
Find the value of y by substituting the value of x in equation (5).
When x=-2 then y is
y=-2(-2)²+9
y=-8+9
y=1
Thus, the point where the equations of system C intersect each other is (-2,1)
So, the system of equations of C has 1 real solutions.
Hence, the system of equations for A is x²+y²=17 and y=-(1÷2)x having 2 real solution, a system of equations for B is y=x²-7x10 and y=-6x+5 having 0 real solution and a system of equations for C is y=-2x²+9 and 8x-y=-17 having 1 real solution.
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