15
5x-2y=9......(1)
6x+ky=4......(2)
slope of eqn i= -5/-2
=5/2
slope of eqn ii = -6/k
since the line are perpendicular
5/2 * -6/k = -1
-30= -2k
k=15
How many different committees
with 4 members can be formed
from a group of 8 people?
Answer:
70 is the right answer....
Answer:
70 ways
Step-by-step explanation:
8 C 4 = 8 ! / ( 4! * 4!) = 70 ways
Help me please asapp
ED and AC are congruent
Write Statement as:
AB*BC=EB*BD
8(4x+2)=9(4x)
32x+16=36x
16=4x
4=x
Hope it helps!
In the equation 17x2 = 12x, the value of c is:
17
12
0
abc buys widgets for $5 cash and sells them on account for $8. what is the benefit value of a widget on the books of abc?
The benefit value of the widget on the books of abc is $8
How to determine the benefit value?The given parameters are:
Cost price = $5 cash
Selling price = $8 account
The benefit value of the widget is the same as their selling price on account
Hence, the benefit value of the widget is $8
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determine the scale factor for triangle abc to prime ^abc
The scale factor for triangle ABC to A'B'C' is 2
How to determine the scale factor?The complete question is in the attached image
From the attached image, we have the following corresponding sides
AC = 4 cm
A'C' = 8 cm
The scale factor is then calculated as:
Scale factor = A'C'/AC
This gives
Scale factor = 8cm/4cm
Evaluate the quotient
Scale factor = 2
Hence, the scale factor for triangle ABC to A'B'C' is 2
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solve the linear system by elimination. 4x-2y=15 2x+2y=3
Answer:
x=3 and y = -3/2
What is the elimination method?A method for solving a system of linear equations where you add or subtract equations to eliminate a variable. Eliminating one variable by combining two equations with a common term with adding or subtracting.
___________________________________
Let's solve your system by elimination.
4x−2y=15;2x+2y=3
4x−2y=15
2x+2y=3
Add these equations to eliminate y:
6x=18
Then solve 6x=18 for x:
6x=18
6x/6 = 18/6 (Divide both sides by 6)
x=3
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
4x−2y=15
Substitute3 for x in 4x−2y=15:
(4)(3)−2y=15
−2y+12=15(Simplify both sides of the equation)
−2y+12+−12=15+−12(Add -12 to both sides)
−2y=3
-2y/-2 = 3/-2 (Divide both sides by -2)
y = -3/2
Answer:
x=3 and y = -3/2
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The graph of the function f(x) = –(x + 3)(x – 1) is shown below.
On a coordinate plane, a parabola opens down. It goes through (negative 3, 0), has a vertex at (negative 1, 4), and goes through (1, 0).
Which statement about the function is true?
The function is positive for all real values of x where
x < –1.
The function is negative for all real values of x where
x < –3 and where x > 1.
The function is positive for all real values of x where
x > 0.
The function is negative for all real values of x where
x < –3 or x > –1.
Answer:
The second statement is true.
Step-by-step explanation:
Draw the corresponding parabola and use it to verify all statements.
Answer:
The function is negative for all real values of x where
x < –3 and where x > 1.
Step-by-step explanation:
The answer above is correct.
helooooooo
bnbdnndnmfmfnfncncncncnncnc....
Answer: I dont really understand your questions
Step-by-step explanation: find the solution to your problem
WILL GIVE BRAINLYEST
Find measure of X and Y
X=
Y=
Part B:
Choose the correct degree measure for JKL
A. 98
B. 65.5
C. 262
D. 24.5
Answer:
x = 7 y = 4 JKL = 262 degrees
Step-by-step explanation:
According to a circle theorem, sum of the opposite angles in a circle which touch its circumference must equal 180, hence:
7x + 131 = 180
x = 7
According to another theorem, a quadrilateral inside a circle must equal 360 so:
99 + 7(7) + 131 + 11(7) + y = 360
Note: remember to substitute 7 for all values of x
y = 4
The angle subtended by an arc at the centre is twice the angle subtended at the circumference
Following this rule, we can conclude that:
2(7x) or 2(2 x 7) = 2(49) which is 98
Lastly, 360 - 98 = 262
(Giving 40 points and brainly if correct!)
If OP=17 and QP=6, what is OQ? First, complete the Segment Addition Postulate for this problem.
OQ+QP= ?
In the given diagram, the length of OQ is 11
Calculating the length of a line segmentFrom the question, we are to determine the length of OQ
From the given information,
OP = 17
QP = 6
In the diagram, we can observe that
OQ + QP = OP
∴ OQ + 6 = 17
Subtract 6 from both sides
OQ + 6 - 6 = 17 - 6
OQ = 11
Hence, the length of OQ is 11
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[tex]\huge \boxed{\sf 11}\\\\\\\displaystyle \sf OP=OQ+QP\\\\OQ=OP-QP\\\\OQ=17-6\\\\OQ=11[/tex]
The sum of the ages of 5 children is 20 years, after how many years will the sum of their ages be 40 years. a) 4 b) 5 c) 10 d) 20
Answer:
20
Step-by-step explanation:
each year each child will get additional age
example 5 children average of the age 20 years old.
after 20 years all of them.will be 20+20=40 years old.
the group of the children not changing but average of the groups will be increase in 20 years.
What is the factored form of 6n⁴ - 24n³ + 18n?
a.6n(n⁴+4n³+3n)
b.6n[n⁴ -4n³ +3n]
c.6n(n³-4n²+3)
d. 6n(n³ +4n²+3)
Answer:
answer is option C
Step-by-step explanation:
just take 6n as common and divine each value by it
The factored form of expression 6n⁴ - 24n³ + 18n is
6n (n² - 2n + 1) (n² - 2n + 3).
What is an expression?
An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example: so
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
First, we can factor out the greatest common factor of the expression, which is 6n:
6n(n³ - 4n² + 3n)
Next, we can factor the expression inside the parentheses by grouping:
n³ - 4n² + 3n = n²(n-4) + 3(n-4) = (n²+3)(n-4)
Substituting this back into the original expression.
6n (n² + 3) (n - 4)
However, we can further simplify by noticing that the expressions
(n² - 2n + 1) and (n² - 2n + 3) are both equivalent to (n - 1)² + 1 and (n - 1)² + 2, respectively.
Thus,
The factored form can also be written as 6n [ (n - 1)² + 1 ] [ (n - 1)² + 2 ]
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What are the measures of Angles a, b, and c? Show your work and explain your answers.
70°
What trigonometric ratio would you use to find the distance from the base of the tower of your keys ? Identify your choice, then calculate the distance
The choice is tangent rule and the distance from the base to the tower is 3. 98 meters
How to determine the distanceThe trigonometric ratio to use is
tan α = opposite side/ adjacent side
This is so because the angle 86° is facing the side of the distance from the top to the base
The choice is tangent rule
adjacent = x
Angle = 86°
Opposite side = 57
We have
tan 86° = 57/x
14. 300= 57/x
x = 57 ÷ 14.300
x = 3.98meters
Thus, the choice is tangent rule and the distance from the base to the tower is 3. 98 meters
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simplify the equation ( 3(3) × 3 (4) ) ÷ 3 (2)
Answer:
(3(3) × 3(4) ) ÷ 3(2)
(9 × 12) ÷ 6
108 ÷ 6
18
Help me please I can’t do this and I need this for the exam tomorrow?
The value of the x will be 25. The force involved vertically to the surface of an object per unit area is pressure.
What is pressure?The force applied perpendicular to the surface of an item per unit area across which that force is spread is known as pressure.
The given data in the problem is;
The base of the block of metal is a rectangle of 20 cm by x cm.
The block exerts a force of 1500 newtons on the ground. The pressure on the ground is 3 newtons/cm²
The area of the rectangle;
A = L × B
A=20 × x
[tex]\rm P = \frac{F}{A}\\\\ 3 N / cm^2 = \frac{1500 N}{20 \times x } \\\\ x= 25[/tex]
Hence the value of the x will be 25.
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Please helpWhich graph represents the reflection of ABC over the line x=0
Answer:
A
Step-by-step explanation:
Reflection over the x axis means that for points A, B, and C, the sign of the y value would change. Since point A is (1, 1), a reflection over the x axis means that it would become (1, -1). We can do the same for points B and C and therefore the answer is graph A
Answer: D for me at least
Step-by-step explanation: hope this helps :3
1/(x+2)+1/(x+3)=2/x+9
Answer:
4x82x929wjdjdejdjekke
[tex] \frac{1}{x + 2} + \frac{1}{x + 3} = \frac{2}{x + 9 } \\ \frac{(x + 3 ) + (x + 2)}{ {x}^{2} + 5x + 6 } = \frac{2}{x + 9} \\ \frac{2x + 5}{ {x}^{2} + 5x + 6 } = \frac{2}{x + 9} \\ 2( {x}^{2} + 5x + 6) = (x + 9)(2x + 5) \\ 2 {x}^{2} + 10x + 12 = 2 {x}^{2} + 5x + 18x + 45 \\ 2 {x}^{2} + 10x + 12 = 2 {x}^{2} + 23x + 45 \\ 2 {x}^{2} - 2 {x}^{2} + 10x - 23x + 12 - 45 = 0 \\ - 13x - 33 = 0 \\ - 13x = 33 \\ x = \frac{33}{ - 13} \\ x = - 2.54[/tex]
Hope it helps
Please give brainliest
step by step please, thank you so much
The equation of the parabola will be y = x² – 6x + 9. Then the correct option is C.
The complete question is attached below.
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
where a is the leading coefficient.
The vertex of the parabola is at (3, 0). Then the equation of the parabola will be
y = (x – 3)² + 0
Then open the bracket, we have
y = x² – 6x + 9
Then the correct option is C.
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Use logarithmic properties and solve for x
Answer:
[tex]x = 45 \sqrt{5} [/tex]
Step-by-step explanation:
[tex] {3}^{2 log_{3}(x) + log_{3}(5) } = {3}^{ 4log_{3}(15) } [/tex]
[tex] {3}^{ log_{3}( {x}^{2} ) } {3}^{ log_{3}(5) } = {3}^{ log_{3}( {15}^{4} ) } [/tex]
[tex]5 {x}^{2} = {15}^{4} [/tex]
[tex] {x}^{2} = \frac{ {15}^{4} }{5} [/tex]
[tex]x = \frac{ {15}^{2} }{ \sqrt{5} } ( \frac{ \sqrt{5} }{ \sqrt{5} } )[/tex]
[tex]x = \frac{ {15}^{2} \sqrt{5} }{5} = 45 \sqrt{5} [/tex]
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
Option C is equal to 7^1/3
Which rule describes the composition of transformations that maps δjkl to δj"k"l"? 90 degree rotation about point 0 composition translation of 0 units x, negative 2 units y translation of 0 units x, negative 2 units y composition 90 degree rotation about point 0 90 degree rotation about point 0 composition translation of negative 2 units x, 0 units y translation of negative 2 units x, 0 units y composition 90 degree rotation about point 0
Triangle JKL was rotated 90 degrees about the origin and translated 2 units left to form triangle J"K"L"
What is transformation?
Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.
Triangle JKL was rotated 90 degrees about the origin and translated 2 units left to form triangle J"K"L"
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Answer:
Its actually DStep-by-step explanation:
Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?
How far would Pete walk if he went from A to B to C? yards
The direct distance from A to C is more than yards.
The inequality w < represents the distance, w, that Pete might save by taking the direct path.
The total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards.
Total distance if Pete walks from A to B to C:
= 15 + 25 = 40 yards
As we know in the triangle the sum of the two sides is greater than the third side.
25 + 15 > AC
40 > AC
or
AC < 40
The direct distance from A to C is more than 10(25-15) yards.
The inequality w < 30 represents the distance, w, that Pete might save by taking the direct path.
Thus, the total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30
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Answer:
40, 10, 30
see picture
Step-by-step explanation:
The probability distribution for a
random variable x is given in the table.
-10
-5
15
20
Probability
.20
15
.05
.15
Find the probability that x ≥ 5
Answer:
Step-by-step explanation:
Comment
There is only 1 number under probability that is greater than or equal to 5. That number is 15
There are 4 possible answers. Only 1 is successful.
Answer: P(y≥5) = 1/4 or 0.25
what graph represents viable values for y = 2x, where x is the number of pounds of rice scooped and purchased from a bulk bin at the grocery store and y is the total cost of the rice?
A graph is a way to represent a lot of data in such a visual format. The graph for the given situation can be drawn as shown below.
What is a graph?A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
The graph for the given situation can be drawn as shown below, where the x-axis represents the number of pounds of rice scooped and purchased from a bulk bin at the grocery store and the y-axis represents the total cost of the rice.
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Elias Rubio deposits three checks for $598.20, $2,274.26, and $3,248.79.
His cash consists of 75 one dollar bills, 78 five dollar bill., 83 ten-dollar
bills, 80 quarters, 32 dimes, 95 nickels, and. 5 pennies. He would like to
receive $40.00 in cash.
Based on the amount of cash that Elias Rubio brings, we can calculate that his total cash deposit is $1,323
How much did Elias deposit in cash?This can be found as:
= (75 x 1) + (78 x 5) + (83 x 10) + (80 x 0.25) + (32 x 0.10 or 10 cents) + (95 x 0.05 or 5 cents) + (5 x 0.01 or 1 cent)
Solving gives:
= 75 + 390 + 830 + 20 + 3.20 + 4.75 + 0.05
= $1,323
Remaining part of the question:
How much did he deposit in cash?
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find the surface area of the pyramid
Answer:
20ft²
Step-by-step explanation:
Please help, I have been trying for a while :(
question on photo
Answer:
[tex]\frac{x-22}{(x+2)(x-4)}[/tex]
Step-by-step explanation:
multiply the numerator/denominator of the first fraction by (x - 4)
multiply the numerator/denominator of the second fraction by (x + 2)
this ensures that the fractions have a common denominator
[tex]\frac{4}{x+2}[/tex] - [tex]\frac{3}{x-4}[/tex]
= [tex]\frac{4(x-4)}{(x+2)(x-4)}[/tex] - [tex]\frac{3(x+2)}{(x+2)(x-4)}[/tex] ← subtract numerators leaving the common denominator
= [tex]\frac{4x-16-3x-6}{(x+2)(x-4)}[/tex]
=[tex]\frac{x-22}{(x+2)(x-4)}[/tex]
How many real solutions does the system of equations have? y = x2 + x − 2 y = -x + 1
The number of the solutions of the equations are 2 that are (1, 0) and (-3, 4).
What are the solutions of the equations?The equations are given below.
y = x² + x − 2 ...1
y = – x + 1 ...2
From equations 1 and 2, we have
x² + x − 2 = – x + 1
x² + 2x − 3 = 0
Then the factor of the equation will be
x² + 3x – x − 3 = 0
(x + 3)(x – 1) = 0
x = 1, –3
Then the value of y will be
At x = 1, we have
y = -1 + 1
y = 0
At x = -3, we have
y = -(-3) + 1
y = 4
Then the number of the solutions of the equations are 2 that are (1, 0) and (-3, 4).
The graph is given below.
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Evaluate the definite integral from pi/2 to put of cos theta/sqrt 1+ sin theta.
Answer:
[tex]\textsf{B.}\quad -2(\sqrt{2}-1)[/tex]
Step-by-step explanation:
Given integral:
[tex]\displaystyle \int^{\pi}_{\frac{\pi}{2}}\dfrac{\cos \theta}{\sqrt{1+ \sin \theta}}\:\:d\theta[/tex]
Solve by using Integration by Substitution
Substitute u for one of the functions of [tex]\theta[/tex] to give a function that's easier to integrate.
[tex]\textsf{Let }u=1+\sin \theta[/tex]
Find the derivative of u and rewrite it so that [tex]d \theta[/tex] is on its own:
[tex]\implies \dfrac{du}{d \theta}=\cos \theta[/tex]
[tex]\implies d \theta=\dfrac{1}{\cos \theta}\:du[/tex]
Use the substitution to change the limits of the integral from [tex]\theta[/tex]-values to u-values:
[tex]\textsf{When }\theta=\pi \implies u=1[/tex]
[tex]\textsf{When }\theta=\dfrac{\pi}{2} \implies u=2[/tex]
Substitute everything into the original integral and solve:
[tex]\begin{aligned}\displaystyle \int^{\pi}_{\frac{\pi}{2}}\dfrac{\cos \theta}{\sqrt{1+ \sin \theta}}\:\:d\theta & =\int^{1}_2}\dfrac{\cos \theta}{\sqrt{u}}\:\cdot \dfrac{1}{\cos \theta}\:\:du\\\\& =\int^{1}_{2}\dfrac{1}{\sqrt{u}} \:\:du \\\\& =\int^{1}_{2} u^{-\frac{1}{2}}\:\:du \\\\& = \left[ 2u^{\frac{1}{2}} \right]^{1}_{2}\\\\& = \left(2(1)^{\frac{1}{2}}\right)-\left(2(2)^{\frac{1}{2}}\right)\\\\& = 2-2\sqrt{2}\\\\& = -2(\sqrt{2}-1)\end{aligned}[/tex]