Answer:
[tex] = { \tt{(0, \: 0)}}[/tex]
Step-by-step explanation:
Let:
[tex]{ \bf{ - x - 2y = 0 - - - (a)}} \\ { \bf{y = - 8x - - - (b)}}[/tex]
Substitute for y in equation (b) to equation (a):
[tex]{ \tt{ - x - 2( - 8x) = 0}} \\ { \tt{ - x + 16x = 0 }} \\ { \tt{x = 0}}[/tex]
Also, y = 0
Resuelve los siguientesTriángulos semejantes, Obteniendo el valor de la incógnita faltante en cada caso
Answer:
hjk
Step-by-step explanation:
Marking brainliest please explain if you can (PICTURE)
HELP FAST! D: TWENTY POINTS
A group of friends goes Sky diving, using a parachute to fall in a straight line from (1,45) to (3,36). If they keep going in a straight line, at what coordinates will they land on the x-axis?
Answer:
0 =-4.5X +49.5
x = 11
Step-by-step explanation:
x1 y1 x2 y2
1 45 3 36
(Y2-Y1) (36)-(45)= -9 ΔY -9
(X2-X1) (3)-(1)= 2 ΔX 2
slope= -4 1/2
B= 49 1/2
Y =-4.5X +49.5
In parallelogram QRST if RU=17 find UT.
Draw a 6 × 6 grid. Colour 1
4
of the grid red, 1
3
blue, and the remaining part
yellow.
a) How many squares are red? b) How many squares are blue?
c) What fraction of the grid is yellow?
Answer:
Step-by-step explanation:
there are 36 squares
red takes 1 of 4 so red has 9
blue takes 1 of 3 so blue has 12
5 of 12 of the grid is yellow
Solve the following equation using
distribution.
2 (4x – 12) = 5
(3) (4x) – (*) (12) = 5
2x - 6 = 5
+6
+6
2x = 11
.. i need help asap look at pics please i need this class done completely in two hours
Answer: 5.5
Step-by-step explanation: It is basically already solved the only thing I did was isolate x by itself my moving the 2 over and doing 11 divided by 2 which equals 5.5. This means that x equals 5.5
find length of missing sides just fill in the missing blanks I need the answer dont have to put the explanation
A 30-60-90 triangle follows a unique pattern. It's hypotenuse is double the shortest leg and its longest leg is the shortest leg times the square root of 3.
In this case, we are given the hypotenuse. The hypotenuse is 2 times the shortest leg, so the shortest leg, f, must be 10.
Then, the longest leg of the triangle is the shortest leg times the square root of 3. Therefore, the longest leg is 10 times sqrt(3).
Hope this helps!
can someone give me a little assistance and an explanation ?
9514 1404 393
Answer:
when the number of persons is less than 10
Step-by-step explanation:
The red line indicates the charges for Mount Joy Pool. It is below the blue line for "number of people" less than 10. That means Mount Joy Pool charges less than Woodbridge Pool for fewer than 10 people.
Assuming Arthur is interested in paying as little rent as necessary, he should select Mount Joy Pool when he is renting for less than 10 people.
__
Additional comment
The rent for 10 people is the same at either location, so there is nothing to favor Mount Joy Pool for 10 people. For more than 10 people, Woodbridge Pool charges less rent.
Can someone help me I don't understand
Answer:
Q'(3,1) R'(2,5) S'(4,3)
Step-by-step explanation:
Q (-4,-4) -4+7= 3 and -4+5=1 so (3,1)
R (-5,0) -5+7=2 and 0+5=5 so (2,5)
S (-3,-2) -3+7=4 and -2+5=3 so (4,3)
You would like to know how effective a diet program is at helping people lose weight. 18 over-weight people are randomly selected to participate in the program. They are weighed before and after the program and the results are listed below. Do these results give evidence that the diet program is effective at the 1% significance level?
Answer:
There is not enough evidence to support the claim that drug is effective at 1%
Step-by-step explanation:
For this we use the pored test as we have dependent test;
Difference :
10,5,-5,3,-3,4,2,-3,0,10,8,-2,3,-2,5,5,4,0
Hypothesis :
H0 : μd = 0
H0 : μd ≠ 0
The mean of d, dbar = Σd / n = 44 / 18 = 2.44
The standard deviation, Sd = 4.45 (using calculator)
The test statistic, T : dbar / (Sd/√n)
T = 2.44 / (4.45/√18)
T = 2.44 / 1.0488750
T = 2.326
Degree of freedom, df = n - 1 ; 18 - 1 = 17
The Pvalue = 0.0326
α = 0.01
Since Pvalue < α ; we fail to reject H0
Anyone could please answer this??
Answer:
Ans no. 1 = 14/15
Ans no. 2= 1/192
The centre of a triangle must always be found inside the triangle. Illustrate the statement with examples or deny the statement using counter-examples. A diagram would be helpful in supporting your opinion
The center of a triangle must always be found inside the triangle given that it is the concurrent point of the three median lines of the triangle all three of which are located only inside of the triangle
The examples of the properties of the center of a triangle are;
The center of the triangle is the centroid of the triangle which is the point of concurrency of the three medians of the triangle, where a median line is the line which connects a vertex to the midpoint of the side opposite the vertex inside the triangleEach median line divides the area of the triangle in half, and given that the area of the triangle is equal to half the altitude, multiplied by the length of the base side of the triangle, the three medians of a triangle are related and share a common concurrent point inside the triangle such the perpendicular distance from the concurrent point of the three medians to each of the three side is less than the altitude of the triangleGiven that the three medians are located inside the triangle therefore, based on the location of the center of the triangle on the medians of the triangle, the center of the triangle must always be found inside the triangle
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please help me
its urgent :)
Step-by-step explanation:
i Will help wit Shape A and Next Try to figure out Shape B
shape A Looks the Shape XY coordinate, which Horizontal & Vertical Line
Shape A Coordinate
X = 7, 8.5, 7,5, 7.5,
Y = 7, 7, 6.5 , 5
if you wanna to understand this coordinate between X & Y try plotting with Horizontal or Vertical Line at your Shape And you Would be Understanding about these coordinate meaning
Form a third-degree polynomial function with real coefficients, with leading coefficient 1, such that 6+i and 5 are zeros.
Answer:
A third-degree polynomial can be written as:
f(x) = a*x^3 + b*x^2 + c*x + d
Where the leading coefficient is a, and all the coefficients are real.
If we know that the leading coefficient is 1, then the equation becomes:
f(x) = x^3 + b*x^2 + c*x + d
Now, we also know that:
(6 + i) and 5 are zeros.
This means that:
(6 + i)^3 + b*(6 + i)^2 + c*(6 + i) + d = 0
remember that:
i^2 = - 1
This is equal to:
(6 + i)*(36 + 2*6*i + i^2) + b*(36 + 2*6*i + i^2) + c*(6 + i) + d = 0
(6 + i)*(35 + 12i) + b*(35 + 12i) + c*(6 + i) + d =0
(210 + 35i + 72i - 12) + b*(35 + 12i) + c*(6 + i) + d = 0
198 + 107i + b*(35 + 12i) + c*(6 + i) + d = 0
sparating in real and imaginary part, we get:
(198 + b*35 + c*6 + d) + (107 + b*12 + c)*i = 0
Then each parentheses needs to be zero, this means that:
198 + b*35 + c*6 + d = 0
107 + b*12 + c = 0
Knowing that 5 is another zero, we have:
5^3 + b*5^2 + c*5 + d = 0
125 + b*25 + c*5 + d = 0
Then we have a system of 3 equations and 3 variables:
198 + b*35 + c*6 + d = 0
107 + b*12 + c = 0
125 + b*25 + c*5 + d = 0
To solve this, we first need to isolate one of the variables in one of the equations.
Let's isolate d in the last one, so we get:
d = -125 - b*25 - c*5
now we can replace this in the first equation to get:
198 + b*35 + c*6 + d = 0
198 + b*35 + c*6 + ( -125 - b*25 - c*5) = 0
70 + b*10 + c = 0
So now we have two equations:
70 + b*10 + c = 0
107 + b*12 + c = 0
Again, now we can isolate the one variable in one of the equations, this time let's isolate c in the first one.
c = -70 - b*10
now we can replace this in the other equation:
107 + b*12 + c = 0
107 + b*12 + (-70 - b*10) = 0
38 + b*2 = 0
now we can solve this for b
b*2 = -38
b = -38/2 = -19
Now, with the equation c = -70 - b*10 we can find the value of c.
c = -70 - b*10 = c = -70 - (-19)*10 = 120
And with the equation d = -125 - b*25 - c*5
we can find the value of d:
d = -125 - b*25 - c*5 = -125 - (-19)*25 - (120)*5 = -250
Then we have:
a = 1
b = -19
c = 120
d = -250
The eqation is:
f(x) = 1*x^3 - 19*x^2 + 120*x - 250
please help! :)
Answer question B.
Thank you!
Answer:
t f dis say mane ion speak italian
Step-by-step explanation:
1.explain the process of indirect measurement. Create an example situation when indirect measurement would be useful.
2. Solve of x,y, and z in the figure above^^. Show your work
Answer:
Step-by-step explanation:
(1). Indirect measurement is a method of using proportions to find an unknown length or distance in similar figures.
"The "h" feet tall building with its shadow of 90 feet and 6 feet tall person with its shadow of 15 feet form similar right triangles. Find the height of the building."
Can you help with this please and also explain?
Answer:
avocado=4
Step-by-step explanation:
Hi there!
We are given the following equations:
snail + snail - cellphone=avocado
maple leaf * cellphone=10
0+maple leaf=5
snail = cellphone + 1
avocado=?
This may seem confusing at first, but let's try to find the value of one of the items to help us to solve for the others
For example, we have the equation 0 + maple leaf= 5
Which means if we subtract 0 from both sides, we should get the value of the maple leaf
Which means that the maple leaf= 5
Now we know that maple leaf * cellphone = 10
So that means 5*cellphone=10
Divide by 5 on both sides
cellphone= 2
We know that snail = cellphone + 1
As we learned from above, cellphone= 2
Which means that snail = 2+1=3
We know that snail + snail - cellphone = avocado
And as calculated from above, snail = 3 and cellphone = 2
Which means:
3 + 3 - 2= avocado
Add
6-2=avocado
Subtract
4=avocado
Hope this helps!
The diameter of a cylindrical construction pipe is 4ft. If the pipe is 22ft long, what is its volume?
Use the value 3.14 for pi
Answer:
V = 276.32 ft^3
Step-by-step explanation:
Volume of a cylinder is
V = pi r^2 h
The diameter is 4 so the radius is d/2 = 4/2 = 2
V = (3.14) ( 2)^2 * 22
V = 276.32 ft^3
find the inequality represented by the graph
would I write it y is more than or equal to -2x-5 ?
Answer:
y ≥ -2x-5
you use the greater than and equals to sign
solve the quadratic equation
give your answer to 2 decimal places
: 3x^2+x-5=0
Given:
The quadratic equation is:
[tex]3x^2+x-5=0[/tex]
To find:
The solution for the given equation rounded to 2 decimal places.
Solution:
Quadratic formula: If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then:
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have,
[tex]3x^2+x-5=0[/tex]
Here, [tex]a=3,b=1,c=-5[/tex]. Using the quadratic formula, we get
[tex]x=\dfrac{-1\pm \sqrt{1^2-4(3)(-5)}}{2(3)}[/tex]
[tex]x=\dfrac{-1\pm \sqrt{1+60}}{6}[/tex]
[tex]x=\dfrac{-1\pm \sqrt{61}}{6}[/tex]
[tex]x=\dfrac{-1\pm 7.81025}{6}[/tex]
Now,
[tex]x=\dfrac{-1+7.81025}{6}[/tex]
[tex]x=1.13504167[/tex]
[tex]x\approx 1.14[/tex]
And
[tex]x=\dfrac{-1-7.81025}{6}[/tex]
[tex]x=-1.468375[/tex]
[tex]x\approx -1.47[/tex]
Therefore, the required solutions are 1.14 and -1.47.
A Triangle with an area of 24 square feet has a side of length 10 feet. If all 3 sides are even integers, what is the perimeter of the triangle?
Answer:
24 ft
Step-by-step explanation:
so, we don't know anything else about the triangle ?
ok, let's see.
the area of a triangle is (a side length) × (the height from that side to the opposite corner) / 2
At = 24 = side × height / 2
48 = side × height = 10 × height
height = 48/10 = 4.8 = 24/5
let's say that the height on our known side splits this side into 2 parts, p and q (p+q = 10).
we can calculate the triangle side on the right hand side of our know side by calling it a and using Pythagoras :
a² = height² + q² = (4.8)² + q² = 23.04 + q²
as all sides have to be even integers, a² has to be an even square number larger than 23.04.
and because p+q = 10, we know q must be smaller than 10, and therefore q² smaller than 100.
the only candidates for a² are therefore 36 and 64 (6² and 8²).
in a similar way this applies to the left hand triangle side b tool.
b² = height² + p² = 23.04 + p²
with the same restrictions and possible solutions as a².
we have the possibilities that a = b = 6 or 8, or a = 6 and b = 8 (or vice versa).
let's rule out a=b :
a=b wound also mean p=q=5
then
a² = 23.04 + 5² = 23.04 + 25 = 48.04, which is not an even square integer. therefore, this assumption is wrong.
so, the only possible solution is a = 6 and b = 8 (or vice versa, but it did not matter which is which, as we only need the perimeter, which would be the same either way).
proof :
36 = 23.04 + 12.96 = 23.04 + q²
=> q = 3.6 ft
64 = 23.04 + 40.96 = 23.04 + p²
=> p = 6.4 ft
p+q = 3.6 + 6.4 = 10 ft
perfect, it fits, this is the correct solution
so, the perimeter of the triangle is
10 + 6 + 8 = 24 ft
if you get 76% on a 50 question test how many questions did you get wrong?
Answer:
100% - 76% = 24%
24% = 0.24
0.24*50 = 12
You got 12 questions wrong.
Step-by-step explanation:
Please mark brainliest!
Number of questions that got wrong are 12 .
Given,
76% on a 50 question test.
Here,
Let total percentage value be 100%.
Then,
100% - 76% = 24%
24% questions got wrong.
Number of questions that got wrong out of 50 will be ,
24% of 50
= 0.24*50
= 12
Therefore 12 questions got wrong.
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complete the equation: x^2 + 10x + _ = (_)^2
Answer:
(x + 5)²
Step-by-step explanation:
Given
x² + 10x
To complete the square
add ( half the coefficient of the x- term )² to x² + 10x
x² + 2(5)x + 25
Then
x² + 10x + 25 = (x + 5)²
You have a bag which contains only red and green marbles. In this bag with $x^{2} 5$ marbles total, $x 1$ are red. Also, $x-3$ marbles have a scratch on them. The probability of drawing a red marble from the original bag is equal to that of drawing a marble with a scratch from the marbles left in the bag after twenty scratch-free marbles are taken out of the full bag. How many marbles were originally in the bag?
The original number of marbles in the bag is 30.
The given parameters are:
[tex]Red = x + 1[/tex]
[tex]Total = x^2 + 5[/tex]
The probability of red is:
[tex]P(Red) = \frac{Red}{Total}[/tex]
[tex]P(Red) = \frac{x+1}{x^2 + 5}[/tex]
When 20 marbles were removed, the marbles left are:
[tex]Marbles =Total - 20[/tex]
This gives:
[tex]Marbles =x^2 + 5 - 20[/tex]
[tex]Marbles =x^2 -15[/tex]
The probability of selecting a scratched marble at this point is:
[tex]P(Scratch) = \frac{Scratch}{Marbles}[/tex]
[tex]P(Scratch) = \frac{x -3}{x^2 - 15}[/tex]
This probability equals the probability of red.
i.e.
[tex]P(Red) = P(Scratch)[/tex]
So, we have:
[tex]\frac{x +1}{x^2 + 5} = \frac{x -3}{x^2 - 15}[/tex]
Cross multiply
[tex](x + 1)(x^2 - 15) = (x - 3)(x^2 + 5)[/tex]
Expand
[tex]x^3 - 15x + x^2 - 15 = x^3 + 5x - 3x^2 - 15[/tex]
Subtract [tex]x^3[/tex] from both sides
[tex]- 15x + x^2 - 15 = 5x - 3x^2 - 15[/tex]
Add 15 to both sides
[tex]- 15x + x^2 = 5x - 3x^2[/tex]
Collect like terms
[tex]3x^2 + x^2 - 15x - 5x = 0[/tex]
[tex]4x^2 - 20x = 0[/tex]
Divide through by 4
[tex]x^2 - 5x = 0[/tex]
Expand
[tex]x(x - 5) = 0[/tex]
Split
[tex]x = 0[/tex] or [tex]x - 5 = 0[/tex]
[tex]x = 0[/tex] or [tex]x = 5[/tex]
x can't be 0.
So: [tex]x = 5[/tex]
The number of marbles initially is:
[tex]Total = x^2 + 5[/tex]
[tex]Total = 5^2 + 5[/tex]
[tex]Total = 30[/tex]
Hence, the original number of marbles in the bag is 30.
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HELP ME !! find the value of x
Answer:
ERROR
Step-by-step explanation:
Simplify (Asap️ )
please answer this if you know
(full steps required )
(please no spam answers)
see the attachment hope this helps you
Y’all plss plss help me, it super ugent, I’ll mark the brainlest
Plsssssss, it Imp not spamming,, I’m serious I’ll report u
Answer:
the answer is correct
Step-by-step explanation:
hope u like
Sat prep find the value of x in each of the following exercises
Answer:
155°Step-by-step explanation:
Consider straight line and complementary angle properties and use following equation:
(90° - (180° - x)) = 180° - (60° + (90° - 35°)) x - 90° = 180° - (60° + 55°)x = 90° + 65°x = 155°Answer:
x=115 degrees
Step-by-step explanation:
Drag the cards to create a number that matches these rules.
The number ends in the hundredths place.
6 is the nearest one when rounding.
9, 4, (.)decimal point, 5
Answer:
0.459
Step-by-step explanation:
O.459 will round to 0.46 which meets the question's criteria.
Sue wants to put rectangular garden on her property using 90 meters of fencing. There is a ns through her property, so she decides to increase the size of the garden by ne side of the rectangle. (Fencing is then needed only on the other three river that runs through her property, so she using the river as one side of the rectangle. (ren sides). Let x represent the length of the side of the rectangle parallel
a. Express the garden's area as a function of x.
b. Using your graphing calculator, determine the maximum area that Sue will be able to enclose for her garden and the dimensions of that area. (Hint: A good viewing window might be (-40, 100; 0, 1100])
Answer:
a) A(x) = 90*x/2 - x²/2
b) A(max) = 1012.5 m²
Step-by-step explanation:
L = 90 meters of fencing
Rectangular area is
A(r) = x*y . where x and y are the sides of the rectangle
the perimeter is ( we are going to fence only 3 sides, then)
x + 2*y = 90 or . y = ( 90 - x ) /2
Area as a function of x is:
A(x) = x * ( 90 - x)/2
A(x) = 90*x/2 - x²/2
Tacking derivatives on both sides of the equation:
A´(x) =45 - 2*x/2 A´(x) =45 - x
A´(x) = 0 . 45 - x = 0 . x = 45 . meters
and . y = ( 90 - x ) 2
y = ( 90- 45 )/2
y = 22.5 meters
A(max) = 45*22.5 m²
A(max) = 1012.5 m²
If we get the second derivative of A(x) . A"(x) = - 1 A"(x) < 0
Then A(x) has a maximum for x = 45
