Help me with this Please
Three ballet dancers are positioned on stage. Mia is straight behind Jane and
directly left of Christine. If Jane and Mia are 3 meters apart, and Christine and Jane
are 5 meters apart, what is the distance between Mia and Christine?
Answers
Answer:3 m
Step-by-step explanation:
Given
Mia is 3 m behind Jane
Mia is left to the Christine
Distance between Mia and Christine is 5 m
Thus they form a right angles triangle shown in fig
So we can write
[tex]5^2=x^2+3^2[/tex]
Where x =distance between Mia and christine
[tex]x^2=25-16[/tex]
[tex]x^2=9[/tex]
[tex]x=3\ m[/tex]
Related Questions
What is the value of x when 1/3x=9 1/3?
Helppp nowww
Answers
Answer:
x=28
Step-by-step explanation:
[tex]\frac{1}{3} x=9\frac{1}{3} \\\frac{1}{3} x=\frac{28}{3} \\x=28[/tex]
The value of x is 28.
What is mixed fraction?
A mixed fraction represented with its quotient and remainder is a mixed fraction.
How to convert a mixed fraction fraction into an improper fraction?To convert a mixed fraction into improper fraction first we multiply the denominator of the proper fraction to the whole number attach with it then we add the numerator.
According to the question:
we have
[tex]\frac{1}{3}x =9\frac{1}{3}[/tex]
for finding the value of x
[tex]\frac{1}{3}x =9\frac{1}{3}[/tex]
⇒[tex]\frac{1}{3}x=\frac{28}{3}[/tex]
⇒[tex]\frac{3}{3} x= 3[/tex]×[tex]\frac{28}{3}[/tex] (multiply both the sides by 3)
⇒ [tex]x= 28[/tex]
The value of x is 28.
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4.9.21
Solve the system of equations.
y=x² + 6x-2
y= - x2 + 4x + 22
Select the correct choice below and, if necessary, fill in box
- the solution(s) are:
- there is no solution
Answers
Answer:
x = -4 or 3
Step-by-step explanation:
[tex]x^{2}[/tex] + 6x - 2 = -[tex]x^{2}[/tex] + 4x + 22
2[tex]x^{2}[/tex] + 2x - 24 = 0
[tex]x^{2}[/tex] + x - 12 = 0
(x + 4)(x - 3)=0
x = -4 or 3
because
Please help with question off algebra nation
Answers
Answer:I’m on that same question and I need help to
Step-by-step explanation:
Answer:
Table C is a linear function. Table A is an exponential function. And lastly table B is a quadratic function.
Step-by-step explanation:
I know that table C is linear because it has a constant rate of change the whole entire time.
I know table A is exponential because of the way it drastically increases at the end.
And lastly I know that table B is quadratic because if I were to graph it and keep on placing points, it would make a parabola.
I hope I helped.
Sarah claims that when you divide, the number you are dividing always gets smaller. John says this is not true. Who is correct? If John is correct, give a counterexample.
A) Sarah is correct.
B) John is correct. A counterexample is 4 ÷ 5.
C) John is correct. A counterexample is 4 ÷ 1.25.
D) John is correct. A counterexample is 4 ÷ 1/2
Answers
Answer:
D
Step-by-step explanation:
John is correct as Dividing does not always gets the quantity smaller for example if we divide 4 by 0.5
We get
4/0.5= 8
When you graduate from high school, you deposit all of your graduation cash into an account earning 5% interest. Ten years from now you will have
$5000 in that account. How much money did you deposit?
Answers
Evaluate the expression below for x = 2, y = –3, and z = –1.
A.
–23
B.
–5
C.
13
D.
27
Answers
Correct question:
Evaluate the expression below for x = 2, y = –3, and z = –1.
Given: [tex] x^2 z^2 -y^2(x+z) [/tex]
Options:
A.–23
B.–5
C.13
D.27
Answer:
B. -5
Step-by-step explanation:
In this question we are given the following values:
x = 2
y = -3
z = -1
Given the expression:
[tex] x^2 z^2 -y^2(x+z) [/tex]
To evaluate, let's substitute for 2, -3 & - 1 for x, y & z respectively
Therefore,
[tex] x^2 z^2 -y^2(x+z) [/tex]
Substituting values, we have:
[tex] (2^2) (-1^2) - (-3^2)(2+(-1)) [/tex]
Simplifying, we have:
[tex] [(2^2) (-1^2)] - [(-3^2)(2-1)] [/tex]
[tex]= [(4) (1)] - [(9)(1)] [/tex]
[tex]= 4 - 9[/tex]
= -5
The correct answer is option B
Sara solved the equation -6(x-2) + 3x = -3(x+3) + 21 What is the solution?
pls help :)
Answers
To solve you can use inverse operations.
Here are the steps to find the answer:
1. Write out the equation: -6(x-2)+3x= -3(x+3) +21
2. Distribute both sides: -6x+12+3x= -3x-9+21
3. Simplify both sides: -3x+12=-3x+12
4. This equation is true for all values, or infinity, because the equation is the same on both sides
Let me know if you need further explanation. I hope this helps.
19. Alyse is writing down some notes to argue her case as to how the
body functions when riding a bike. Select the correct phrases below to
help finish these notes.
Answers
Answer: Bro write the question better
Step-by-step explanation:
please help i suck at math:'(
Answers
Answer: B 6400 m
Step-by-step explanation:
Consider the triangle shown. Triangle R P Q is shown. Angle Q R P is 40 degrees. Angle R P Q is 105 degrees. Angle P Q R is 35 degrees. Which shows the sides in order from longest to shortest? Line segment P Q, line segment R Q, line segment R P Line segment R Q, Line segment P Q, line segment P Q Line segment R Q, line segment R P, line segment P Q Line segment R P, line segment P Q, line segment R Q
Answers
Answer:
RQ, PQ and RP.
Step-by-step explanation:
Note: Options are not correct.
From the given information, in triangle RPQ
[tex]\angle QRP=40^\circ[/tex]
[tex]\angle RPQ=105^\circ[/tex]
[tex]\angle PQR=35^\circ[/tex]
In a triangle, greatest angle has longest opposite side and smallest angle has shortest opposite side
Now,
[tex]\angle RPQ>\angle QRP>\angle PQR[/tex]
[tex]RQ>QP>PR[/tex]
[tex]RQ>PQ>RP[/tex]
Therefore, the order from longest to shortest is RQ, PQ and RP.
Answer:
RQ, PQ and RP.
Step-by-step explanation:
TeeVee Electronics, Inc., makes console and wide-
screen televisions. The equipment in the factory allows +
for making at most 450 console televisions and 200
wide-screen televisions in one month. It costs $600 per
unit to make a console television and $900 per unit to
make a wide screen television. The profit on each
console television is $125 per unit, while the profit for
each wide screen television is $200 per unit. During the -
month of November, the company can spend $360,000 to make these televisions. To
maximize profits, how many of each type should they make?
LET
Answers
Answer:
First we need to put all the given information in a table, that way we'll express it better into inequalities.
Cost Production Max.
Console screen (x) $600 450
Wide-screen (y) $900 200
$360,000
We have:
[tex]600x+900y \leq 360,000[/tex]
Because they can't spend more than $360,000 in production.
[tex]x\leq 450\\y\leq 200[/tex]
Because the number of television is restricted.
The profit function is
[tex]P(x,y)=125x+200y[/tex] (this is the function we need to maximize).
First, we need to draw each inequality. The image attached shows the region of solution, which has vertices (0,200), (300,200), (450, 100) and (450,0).
Now, we test each point in the profit function to see which one gives the highest profit.
For (300,200):
[tex]P(300,200)=125(300)+200(200)=37,500+40,000=77,500[/tex]
300 console screen and 200 wide screen give a profit of $77,500.
For (450,100):
[tex]P(450,100)=125(450)+200(100)=56,250+20,000=76,250[/tex]
450 console screen and 100 wide screen give a profit of $76,250.
Therefore, to reach the maximum profits, TeeVee Electronic, Inc., must produce 300 console screen televisions and 200 wide-screen televisions to profit $77,500,The diagram below is divided into equal parts. Which shows the ratio of unshaded sections to shaded sections
Answers
Answer:
5 to 1.
Step-by-step explanation:
There are 5 unshaded and one shaded section so it's
5:1.
The ratio of unshaded sections to shaded sections is;
Option D; 5 to 1
We are told that the diagram is divided into equal parts.
Now, from the given, we can see that there are 6 equal parts. However, out of the 6 equal sections, only one section is shaded while 5 sections are unshaded.
This means that the ratio of unshaded sections to shaded sections is; 5 to 1.
In conclusion, the ratio of unshaded sections to shaded sections from the given diagram that was divided into equal parts is; 5 to 1.
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Jael and Kelsey work at a bakery. Jael makes 8 cupcakes for every 5 cupcakes that Kelsey
makes. If Kelsey makes 175 cupcakes in one day, what is the total combined number of cupcakes that Kelsey and Jael make in one day?
Answers
Answer:
35
Step-by-step explanation:
175/5
Answer:
455 cupcakes
Step-by-step explanation:
If Jeal makes 8 cupcakes for every 5 cupcakes that Kelsey makes and Kelsey made 175 cupcakes then you divide 175 by 5 and you get 35. Then mulitply 35 by 8 and you will get 280. Lastly you add 175 and 280 and you will get 455.. A kite is in the shape of a parallelogram
with a 4.5 cm base and a height of
7.9 cm. What is the area of the kite?
Answers
Answer:
I believe the answer is 35.55 cm
Step-by-step explanation:
Answer:
35.55 cm
Step-by-step explanation:
To find the answer of this question is to use the method bxh.
4.5 cm
x 7.9 cm
----------------
35.55 cm
Which of the following number lines represents the solution to m/-2 - 7 = -9?
Answers
Answer:
Step-by-step explanation:
Answer: m=1
Step-by-step explanation:
Angles
SU and VX are parallel line.
which angles are alternate exterior angles?
XWY and STR
XWY and VWT
XWY and VWY
XWY and XWT
Answers
I tend to think of parallel lines as train tracks (the metal rail part anyway). Inside the train tracks is the interior region, while outside the train tracks is the exterior region. Alternate exterior angles are found here. Specifically they are angles that are on opposite or alternate sides of the transversal cut.
Both pairs of alternate exterior angles are shown in the diagram below. They are color coded to help show how they pair up and which are congruent.
A thing to notice: choices B, C, and D all have point W as the vertex of the angles. This means that the angles somehow touch or are adjacent in some way due to this shared vertex point. However, alternate exterior angles never touch because parallel lines never do so either. We can rule out choices B,C,D from this reasoning alone. We cannot have both alternate exterior angles on the same exterior side of the train tracks. Both sides must be accounted for.
What are the solution(s) of the quadratic equation 98 - x2 = 0?
x = +27
x= 163
x = 17/2
no real solution
Answers
Answer: it’s c
Step-by-step explanation:
find the missing letter N if the width is 2ft and the area equal 28 sq ft
Answers
Answer:
Step-by-step explanation:
Area = 28 Sq.ft
length * width = 28
2 * n = 28
Divide both sides by 2
2n/2 = 28/2
n = 14 ft
The point P(x,y) lies on the terminal side of an angle theata = -60 degrees in standard position. What are the signs of the values of x and y
Answers
Answer:
a
Step-by-step explanation:
a
please help me please please please please
Answers
Answer: [tex]2\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]-2\frac{1}{3}-(-5)=[/tex]
Convert the mixed number to improper fraction. You can do this by multiplying the whole number times the denominator and adding the numerator; over the same denominator.
[tex]-\frac{2*3+1}{3} -(-5)=[/tex]
Solve;
[tex]-\frac{6+1}{3} -(-5)=[/tex]
[tex]-\frac{7}{3} -(-5)=[/tex]
Now, get rid of the two negatives by multiplying.
[tex]-\frac{7}{3} +5=[/tex]
Remember 5 has a 1 below; therefore, we can subtract these two fractions by getting both to a same denominator. Let's rewrite 5 as a fraction.
[tex]-\frac{7}{3}+\frac{5}{1} =[/tex]
To be able to convert 1 to 3, we have to multiply by 3. Remember that if you change the denominator, you have to change the numerator as well.
[tex]-\frac{7}{3}+\frac{5}{1} (\frac{3}{3} ) =[/tex]
Solve;
[tex]-\frac{7}{3}+\frac{15}{3} =[/tex]
Subtract numerators and keep the same denominator.
[tex]\frac{-7+15}{3}=\frac{8}{3}[/tex]
Convert to a mixed number. To do this, first, divide:
8/3=2
6
----
2
The 2 after the equal sign is the whole number, the two in the remainder is the numerator and the 3 is the denominator. Leaving our result as: [tex]2\frac{2}{3}[/tex]
The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students. General High rented and filled 14 vans and 12 buses with 738 students. How many students would fill 2 buses and 3 vans?
Answers
Answer:
133 students would fill 2 buses and 3 vans
Step-by-step explanation:
Let x be the no. of students in each van
No. of students in 12 vans = 12x
No. of students in 14 vans = 14x
Let y be the no. of students in each bus
No. of students in 14 buses = 14y
No. of students in 12 buses = 12y
We are given that The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students.
12x+14y=796 ---1
We are also given that General High rented and filled 14 vans and 12 buses with 738 students.
14x+12y=738 ---2
Plot 1 and 2 on graph
12x+14y=796 --- Green line
14x+12y=738 --- Purple line
Intersection point gives the solution
Intersection point=(x,y)=(15,44)
No. of students in 1 van = 15
No. of students in 3 vans = [tex]15 \times 3 = 45[/tex]
No. of students in 1 bus = 44
No. of students in 2 buses =[tex]44 \times 2 = 88[/tex]
So,Total no. of students in 3 vans and 2 buses = 45+88=133
Hence 133 students would fill 2 buses and 3 vans
Jack divided his fortune of $92,000 into 8 equal parts. He gave 4 parts to his wife, 1 part to his son and divided the remaining 3 parts equally among 5 charities.
How much more money did his son get than each charity?
Answers
Answer:
4,600
Step-by-step explanation:
92,000/8= 11500
11500 x 4= 46000 to his wife
11500 for the son
92000-57500= 34500
34500/5= 6,900 each charity
11500-6900= 4600 is how more he is getting than each charity
Answer:
4600 more money
Step-by-step explanation:
92000 ÷ 8 = 11500
1 part to his son
3(11500)= 34500
34500 ÷ 5 = 6900
11500-6900= 4600
math question down below
Answers
Answer:
type the question picture isnt showing up
Step-by-step explanation:
I put the equation in stat
A student is ordering a flower arrangement. She can choose any combination of tulip and carnations for her flower arrangement , and she does not want to spend more than $45. If tulip cost $5 each and carnations cost $3 each, which inequality represents all possible combinations of x tulips and y carnations ? A. 5x + 3y < 45 B. 5x + 3y <= 45 C. 3x + 5y > 45 3x + 5y <= 45
Helppp!
Answers
Answer:
[tex]5x+3x \leq 45[/tex] represents all possible combinations of x tulips and y carnations
Step-by-step explanation:
We are supposed to find inequality represents all possible combinations of x tulips and y carnations
Cost of 1 tulip = $5
Cost of x tulips = 5x
Cost of 1 carnation =$3
Cost of y carnations = 3y
We are given that she does not want to spend more than $45.
So, She can spend less than or equal to 45
So, required inequality :[tex]5x+3x \leq 45[/tex]
So, Option B is true
[tex]5x+3x \leq 45[/tex] represents all possible combinations of x tulips and y carnations
Answer:
it would be 5x + 3y <= 45
Step-by-step explanation:
I literally just did this question on my math homework and I got it right .
What is the vertex of the quadratic function with a positive a value?
Answers
Answer:
If the coefficient of the squared term is positive, the parabola opens up. The vertex of this parabola is called the minimum point. If the coefficient of the squared term is negative, the parabola opens down. The vertex of this parabola is called the maximum point.
The graph opens upward, if the vertex of the quadratic function with a positive a value.
Given that, the quadratic function with a positive a value.
What is the vertex of the quadratic function?The vertex of the graph of a quadratic function is the highest or lowest possible output for that function. If you're looking at a graph, the vertex would be the highest or lowest point on the parabola. The easiest way to find the vertex is to use the vertex formula.
If a is positive, the graph opens upward, and if a is negative, then it opens downward. The line of symmetry is the vertical line x = h, and the vertex is the point (h, k). Any quadratic function can be rewritten in standard form by completing the square.
Therefore, the graph opens upward, if the vertex of the quadratic function with a positive a value.
To learn more about the vertex of the quadratic function visit:
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Please HELP!!!!!!!!!
Answers
Answer:
The sides are 3 and 9
Step-by-step explanation:
Since this is a right triangle, we can use the pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
x^2 + (3x)^2 = (3 sqrt(10))^2
x^2 + 9x^2 = 9*10
10x^2 = 90
Divide each side by 10
x^2 = 90/10
x^2 =9
Take the square root of each side
x = sqrt(9)
x = 3
The sides are x=3 and 3x = 3(3) = 9
Answer: x=10
Step-by-step explanation:
Since the original statements were x, 3x, and 3[tex]\sqrt{x}[/tex], is already given as 10 in 3[tex]\sqrt{x}[/tex], therefore, 3x is 3*10 and x is 10
Identify the equation or inequality of the graph
A)2x-3y=6
B)3x+2y=-6
C)2x-3y=-6
D)3x-2y=6
Answers
Answer:b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Given the domain {-2, 1, 5}, what is the range for the relation 4x + y = 3?
{11, -1, -17}
{-5, 7, 23}
{-11, 1, 17}
{-1, 4, 8}
Answers
Answer:
Its the first one
Step-by-step explanation:
Answer:
FOR PLATO IS NUMBER 2
Step-by-step explanation:
(11,-1,-17)
What is the product of the binomials below?
(5x + 2)(4x +4)
Answers
You can use the FOIL method (First, Outer, Inner Last) as how most people prefer it.
5x*4x=20x^2
5x*4=20x
2*4x=8x
2*4=8
Combine them all together and you get 20x^2 + 28x +8
I hope this helps.
Answer:
20x^2 + 28x + 8
Step-by-step explanation:
you use the box method shown in the picture to multiply then combine like terms
help quick!!!!?????
Answers
Omg I’m so sorry to interrupt but I really need help on my homework :( it’s two questions for 20 points||| can someone please help
Answer:
none
Step-by-step explanation:
57+75+95= 227
24+70+75= 169
48+64+80= 192
19+27+80=73
A right triangle equals 180 degrees.
