There are 43 small dogs signed up in the competition
How to determine the number of small dogs?Represent the small dogs with x and the large dogs with y.
So, we have the following equations
x + y = 50
x = 36 + y
Make y the subject in x = 36 + y
y = x - 36
Substitute y = x - 36 in x + y = 50
x + x - 36 = 50
Evaluate the like terms
2x = 86
Divide both sides by 2
x = 43
Hence, there are 43 small dogs in the competition
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find the equation of a line that is parallel to y=3x+6 and passes through A
) (0,-2) B. (2,5) C.(4,1)
Answer:
Step-by-step explanation:
We'll look for an equation with the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0.
A line parallel to y=3x+6 will have the same slope, 3.
We can write y=3x+b. Any value of b can be used to generate a parallel line.
If we want that line to go through a specific point, such as (0,-2), we need to find a value of b that shifts the line so that it includes (0,-2). This can be done by using that point in the equation y=3x+b:
y=3x+b
-2=3*(0)+b for point (0,-2)
b = -2
The equation becomes y=3x-2
See the attached plot.
===========================
Do that same thing for the remaining two points.
For B: (2,5) The equation is y=3x-1
For C: (4,1) The equation is y=3x-11
The given line segment has a midpoint at (3, 1).
On a coordinate plane, a line goes through (2, 4), (3, 1), and (4, negative 2).
What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?
An equation is formed of two equal expressions. The equation of the perpendicular bisector is y=(1/3)x.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation of the line that passes through (2, 4), (3, 1), and (4,-2), are,
m = (4-1)/(2-3) = 3/-1 = -3
Since the product of the slope of two perpendicular lines is -1. The slope of the perpendicular line is,
m₁m₂ = -1
(-3) m₂ = -1
m₂ = 1/3
Since the line is the perpendicular bisector it will pass through midpoint,
1 = (1/3)(3) + C
1 = 1 + C
C = 0
Hence, the equation of the perpendicular bisector is y=(1/3)x.
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Which of the following is the square of a binomial?
A. 4m^2 - 6mn + 9n^2, B. 16x^2 + 24xy + 9y^2, C. c^2 - 2cd - d^2, D. a^2 + b^2.
All options except Option D , a² + b² , is the square of the binomial.
What is a Binomial ?A polynomial that contains only two term is called a Binomial.
The sum of square of a binomial is the sum of square of the first term , square of second term and twice of the product of the first and second term.
(a+b)² = a² +b² +2ab
(a-b)² = a² +b²-2ab
The options have to be broken down into this form to check whether they are square of a binomial
Option A : 4m² - 6mn + 9n² = (2m -3n)²
Option B: 16x² + 24xy + 9y²=(4x+3y)²
Option C : c²- 2cd - d²=(c-d)²
Option D : a² + b² cannot be written as the square of binomial.
All options except Option D is the square of the binomial.
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Which of the following are good ideas to use when gathering your resources?
Check all that apply.
A. Write down the facts.
B. Organize into a table.
C. Guess at the solution and see if you are close.
D. List potential formulas.
E. Form an equation.
F.Draw a diagram.
Answer:
a, b, d, e
maybe c
Step-by-step explanation:
If sin Q = 4/5, cos P + cos Q
The value of the cos P + cos Q is 7/5 if sin Q = 4/5 after applying the identities of trigonometric.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We know that:
P + Q are complementary, which means that
P+Q = 90°
Then R is a right angle, i.e. it measures 90°.
sin(90-x) = cos (x)
cos(90-x) = sin (x)
Then sinQ = 4/5
cos(90-Q) = cosP = 4/5
Now sin²(P) + cos²(P) = 1
sin²(P) = 1 - cos²(P)
sin²(P) = 1 -[4/5]² =9/25
sin(P) = 3/5
cos(Q) = sin(P) = 3/5
cos(P) + cos(Q) = 4/5 + 3/5 = 7/5
Thus, the value of the cos P + cos Q is 7/5 if sin Q = 4/5 after applying the identities of trigonometric.
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pls help me dis is due at 3:00 pm 2day ASAP attachment above ^
|
Answer:
s=0.20p
Step-by-step explanation:
20% off an product means to subtract 20% of the original price from the original price.
As the sample size increases, the margin of error _____.
As the sample size increases, the margin of error decreases.
What is margin of error?A margin of error is known to be a statistical measurement that states the difference between apparent and projected results in a random sample survey.
From the formula:
MOE = z × √σ²/n
Where
σ = standard deviation
z = quantile
n = sample size
MOE = margin of error
From the formula, sample size is inversely proportional to the margin of error.
Hence, as the sample size increases, the margin of error decreases.
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Write this percentage as a fraction in its simplest form. 96 %
(pls)
Answer:
24/25
Step-by-step explanation:
96%=0.96. 96/100=48/50=24/25
Based on the graph how many distinct real numbers solutions does the equation X^3 + 6x^2 + 12x + 8 = 0 have?
Answer:
no real roots
Step-by-step explanation:
Find discriminant of quadratic equation:
A
= 62 - 4aC
2 Identify a,b,c
Identify a,b,c through coefficient:
a
b
C
6
= 12
8
Substitute and calculate
Substitute the value of a,b,c and calculate
discriminant (b2 - 4ac) :
-48
Determine number of solution Determine number of solution with
discriminant:
no real roots
A bag contains 8 red m&m's, 3 brown m&m’s, and 7 green m&m’s. Draw one m&m what’s the probability of drawing a brown m&m?
Answer:
8+3+7=18
probability of brown m&m is
[tex] \frac{3 }{18 } [/tex]
4= 5√x
What’s the answer to this?
Answer:
16/25 or 0.64
Step-by-step explanation:
First we separate the 5 from 5√x :
4 = 5×√x
Now we divide both sides by 5 :
4/5 = √x
Now we square both sides :
(4/5)² = x
Simplify :
16/25 = x
0.64 = x
Hope this helped and brainliest please
click on the picture. I really need help and would appreciated.
Answer:
the value of x is 12 and the measure of angle MNQ is 23
Question 1 of 10
A triangle has two sides of lengths 5 and 12. What value could the length of
the third side be? Check all that apply.
A. 5
B. 19
C. 17
D. 7
E. 11
F. 9
Which of the following best describes the graph shown below?
A. This is not the graph of a function.
B. This is the graph of a one-to-one function.
C. This is the graph of a function, but it is not one-to-one.
D. This is the graph of a linear function.
Answer: the answer is C
Step-by-step explanation:
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to describe the graph shown in the attached picture.
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Please see below! ^^
Is the graph a function?[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ It passes the Vertical Line Test (Draw a vertical line through the graph; if the line touches the graph once (only once), then the graph is a function.
[tex]\boxed{\mathrm{No}}[/tex] ⇒ It doesn't pass the Vertical line test. The line touches the graph more than once.
[tex]\underline{\rule{50}{1}}[/tex]
Since the line touches the graph only once, this graph is a function, and Option A. is not right; we can cross it out.
One down, three to go! ^^
Is the graph a one-to-one function?[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ It passes the horizontal line test; it touches the graph only once.
[tex]\boxed{\mathrm{No}}[/tex] ⇒ It doesn't pass the test; the line touches the graph
[tex]\underline{\rule{50}{1}}[/tex]
Since a horizontal line touches the graph more than once, this function is not one-to-one.
Option B. isn't right either.
Two down, two to go! ^^
However, look what Option C. is. The graph we're given is indeed a function, and it's not one-to-one.
So I choose Option C.
Let's ensure our answer is correct by checking the last option:
Is the graph a linear function?[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ Its graph is a straight line.
[tex]\boxed{\mathrm{No}}[/tex] ⇒ Its graph isn't a straight line.
[tex]\underline{\rule{50}{1}}[/tex]
As we can see, the given graph is not a staight line; thus, Option D. is also wrong.
Thus, Option C. is the correct answer.
Hope it helps you out! :)
Ask in comments if any queries arise.
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~Just a smiley person helping fellow students :)
8x+2 ≥74 or 6-6x ≥30
Solve
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x
≥
9
Interval Notation:
[
9
,
∞
)
Step-by-step explanation:
Guys, can you please help me complete 3 remaining statements about The Quadratic Relations for me, please? :)
Answer:
To graph [tex]y=ax^2[/tex], you stretch or compress the graph of [tex]y=x^2[/tex] vertically by a factor of a. If [tex]a < 0[/tex], the parabola is also reflected in the x-axis.
To graph [tex]y=ax^2[/tex], you stretch or compress the graph of [tex]y=x^2[/tex] vertically by a factor of a. If [tex]a > 1[/tex] or [tex]a < -1[/tex], the graph is stretched vertically by a factor of a.
To graph [tex]y=(x-h)^2[/tex], you translate the graph of [tex]y=x^2[/tex] horizontally h units. If [tex]h < 0[/tex], the graph is translated h units to the left.
#39
y=x²Then
y=-ax² as a is negativeThe parabola is reflected about x axis
#40
a>1 or a<-1
Theis should be vertically streched by factor a
*41
horizontal translation=hunits
So the graph is shifted h units left
What are the correct trigonometric ratios that could be used to determine the length of ln? check all that apply. sin(20°) = startfraction l n over 8 endfraction cos(70°) = startfraction 8 over l n endfraction tan(70°) = startfraction l n over m n endfraction sin(20°) = startfraction 8 over l n endfraction cos(70°) = startfraction l n over 8 endfraction
The correct answer is option E which is Cos ( 70 ) = [tex]\dfrac{LN}{8}[/tex].
The complete question is attached with the answer below:-
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
As we can see from the figure that ∠L = 70 and ∠M = 20 We can see that the length LN will be calculated as:-
Cos 70 = Base / Hypotenuse
So for an angle of 70, the base is LN and the hypotenuse is equal to 8 units.
Cos 70 = LN = 8
Therefore the correct answer is option E which is Cos ( 70 ) = [tex]\dfrac{LN}{8}[/tex].
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Answer:
A & E
Step-by-step explanation:
Jus took it on edge
In a scale drawing, 3 inches
represents 10 miles. How many
inches represent 45 miles?
Answer:
13.5 inches
Step-by-step explanation:
3inches:10 miles
x inches: 45 miles
do cross multiply:
3*45=135
10*x=10x
so 135=10x
x=13.5 inches
PLEASE ANSWER ASAP!!!!!!!!!!!! MUCH APPRECIATED!!
Based on the amount being deposited into the account each month, and the interest, the account will triple in value on 25 months..
When will the value of the account triple?First find the value of the account when tripled:
= 1,000 x 3
= $3,000
We can then use a spreadsheet to find the number of periods it will take to triple.
Convert the interest to a monthly figure as:
= 3.15% / 12
= 0.2625%
When you put the figures into the spreadsheet as shown, the number of months would be 25 months.
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Which of the following is a trinomial?
OA. √11x-7
OB.
B. X-1
8
OC. 2x+4
OD. 5x2+3x+6
5x² + 3x + 6 is the only trinomial from the given expressions
What is Expression?An expression is combination of variables, numbers and operators.
A trinomial is a polynomial with three terms. In the given options, we need to identify the expression that has exactly three terms.
√11x - 7, has two terms: √11x and -7.
It is not a trinomial because it doesn't have three terms.
x - 1, has two terms: x and -1.
It is not a trinomial for the same reason as option OA.
2x + 4, has two terms: 2x and 4.
It is not a trinomial because it doesn't have three terms.
5x² + 3x + 6, has three terms: 5x², 3x, and 6.
It fits the definition of a trinomial because it has three terms.
Therefore, 5x² + 3x + 6, as it is the only expression among the options that is a trinomial.
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Choose the best answer
-3a>0 and 8-9a<-19
Answer:
The first option
Step-by-step explanation:
the sign only flips when there is a negative number.
i hope this is correct
cindy bought 7/8 yards of ribbon at the craft store . jacob bought 4/5 the length of ribbon as cindy. how many yards of ribbon did jacob buy.
Answer:
7/10
Step-by-step explanation:
In the figure below, find the exact value of y. (Do not approximate your answer.)
Image is attached, this is for a mastery grade, please help!
Will give brainliest to first right answer! Thank you!
The exact value of the y in the similar right triangle is 2.2360679775 units
How to find the side of a triangle?The triangles are similar.
Similar triangles have corresponding sides of equal ratio.
The corresponding angles of similar triangle are equal.
Therefore, using similar ratio,
y / 5 = 1 / y
cross multiply
y × y = 5 × 1
y² = 5
square root both sides
y = √5
Therefore,
y = 2.2360679775 units
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Answer:
Step-by-step explanation:
Givens
Observe the small triangle at the right. The smallest side is one.
The hypotenuse is y
In the largest tringle, the hypotenuse is 5
The smallest side is y
You can set up a ratio for this situation
Equation
smallest side - smallest triangle Largrest triangel -- largest side
============================ =========================
hypotenuse - smallest triangle hypotenuse -- largest triangle
1/y = y / 5 Cross Multiply
Solution
y^2 = 1*5 Take the square root of both sides.
√y^2 = √5
y = √5
or
y =
What is the length of the line?
Answer:
5 units
Step-by-step explanation:
Use Pythagorean Theorem
x = 4 units y = 3 units
4^2 + 3^2 = L^2
16 + 9 = L^2
L = 5
Answer:
5 units
Step-by-step explanation:
By the Pythagorean theorem:
c² = a² + b²
c = length of the line
a = 4
b = 3
Then:
c² = 4² + 3²
c² = 16 + 9
c² = 25
√c² = √25
c = 5
last and final one for the school year lol
Answer:
X=-46
Step-by-step explanation:
-(-46-10)
-(-56)
56 degrees
Anne wants to create a data display to summarize prices of the 264 homes for sale in her area.
The data display that is best for Anne's purpose is: D. a histogram, because the bars show the frequency of data points within different ranges.
What is histogram?Histogram is a graph that help to the following into different rages
Distribute dataGroup and organize dataDisplay frequency distributionSummarize data etc.Based on the data given Anne should make us of histogram based on the fact that the graph shows the frequency of the data points that are within different ranges.
Therefore the correct option is D.
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hannah and andrea were selling tickets to the homecoming dance. they were set up in different
locations, and while andrea sold h number of homecoming tickets, hannah sold 3h. what
information can we gather about the relationship between how many tickets andrea sold and how
many hannah sold?
The relationship between the number of tickets is that Hannah sold three times as many tickets as Andrea.
How to determine the relationship?From the question, we have:
Andrea = h
Hannah = 3h
This means that:
Hannah = 3 * Andrea
So, the relationship is that Hannah sold three times as many tickets as Andrea.
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Two points are:
A. always collinear and always coplanar.
B. always collinear and sometimes coplanar.
C. sometimes collinear and sometimes coplanar.
D. sometimes collinear and never coplanar.
If the coordinate of A is (0, -2) and the coordinate of B is (10, -6), the then midpoint of \overline{AB} AB is: Part A The X portion of the midpoint is __________________. Part B The Y portion of the midpoint is _________________.
Step-by-step explanation:
it is very simple :
the midpoint coordinates are created as the midpoint of the x coordinates, and the midpoint of the y coordinates.
the x coordinate of the midpoint is
(0 + 10)/2 = 10/2 = 5
the y coordinate of the midpoint is
(-2 + -6)/2 = -8/2 = -4
Enter the coordinates of the point
on the unit circle at the given angle.
330°
(-)
[?]
Answer: [tex](\frac{\sqrt{3} }{2} ,-\frac{1}{2} )[/tex]
Step-by-step explanation:
this forms a 30 degree reference angle
and this is in the 4th quadrant
When the angle is 30 degrees, the coordinates are:
[tex](\frac{\sqrt{3} }{2} ,-\frac{1}{2} )[/tex]
The coordinates of the point on the unit circle will be ((√3) / 2, - 1/2).
How to convert the polar coordinate to a cartesian coordinate?The polar coordinate system in geometry is a two-dimensional latitude and longitude that uses the distance from a reference point and the angle from an optical axis are used to identify each point's location on a plane. This polar axis is the ray emanating from the pole in the direction of the point of comparison, which is referred to as the pole.
The cartesian coordinate is (x, y) and polar coordinate is (r, θ). Then the relation is given as,
x = r cos θ
y = r sin θ
The angle is 330° and the radius is one. Then we have
x = 1 x cos 330°
x = (√3) / 2
y = 1 x sin 330°
y = - 1/2
The coordinates of the point on the unit circle will be ((√3) / 2, - 1/2).
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