Answer:
how to make change for 50 cent.
Step-by-step explanation:
1. 3 dimes and 4 nickels
3 x 10 = 30. 4 x 5 = 20.
30 + 20 = 50
2. 2 quarters
25 + 25 = 50
3. 1 quarter and 2 dimes and 1 nickel
25 + 20 + 5 = 50
4. 5 nickels and 1 quarter
5 + 5 + 5 + 5 +5 + 25
Write the equation of the perpendicular bisector of the segment AB.
A (1, 5) and B (7, -1)
Answer:
The equation of the perpendicular bisector of the segment AB is [tex]y = x - 2[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Perpendicular lines and slopes:
If two lines are perpendicular, the multiplication of their slopes is -1.
Equation of the perpendicular bisector of the segment AB.
Equation of a line that passes through the midpoint of segment AB and is perpendicular to AB.
Midpoint of segment AB:
Mean of their coordinates x and y. So
(1+7)/2 = 4
(5-1)/2 = 2
So (4,2).
Slope of segment AB:
When we have two points, the slope between them is given by the change in y divided by the change in x.
In segment AB, we have points (1,5) and (7,-1). So
Change in y: -1 - 5 = -6
Change in x: 7 - 1 = 6
Slope: -6/6 = -1
Equation of the perpendicular bisector:
The slope, multiplied with the slope of segment AB, is -1. So
[tex]-1m = -1[/tex]
[tex]m = 1[/tex]
So
[tex]y = x + b[/tex]
Passes through (4,2), which means that when [tex]x = 4, y = 2[/tex]. So
[tex]y = x + b[/tex]
[tex]2 = 4 + b[/tex]
[tex]b = -2[/tex]
So
[tex]y = x - 2[/tex]
The sum of two consecutive mile markers on the interstate is 331. Find the numbers on the markers
Answer:
165 and 166
Step-by-step explanation:
Let two consecutive mile markers be x and x+1.
According to the question,
x+x+1=331
2x = 331-1
2x = 330
x = 165
So, the number be 165 and 166.
find the value of 7u+1 given that -5u-1=4
Answer:
-5u-1=4
-5u=5
u=-1
7u+1=-7+1=-6
Step-by-step explanation:
Please show work show i know how you got your answer..have a nice day <3
Answer:
A : 3080
Step-by-step explanation:
In order to find volume, you have to multiply all the 3 sides. (Multiply height, length and width)
22 x 10 = 220.
220 x 14 = 3080.
Therefore the volume of the water is 3080 in.
Hope this helps!
M is the midpoint of PA.
8x - 1
M
2x + 17 A
PM =
Use the given functions to set up and simplify PM
M =
PA =
8x - 1
M=
2x + 17A
PM=
Help!!!!!! Solve the following system of equations to determine how many solutions it has. Explain your answer
4x + 2y = -4
12x + 6y = -12
Answer:
Infinitely many solutions
Step-by-step explanation:
Eq. 1 and eq. 2 are the same line.
Multiply eq. 2 by (-3) to get eq. 1.
Multiply eq. 2 by 3 and add to eq. 1 to eliminate x.
Consistent dependent system of equations, infinitely many solutions.
1.)1x-6y=-15
2.)-4+2y=5
The ocean is never moving ? is it Ture or false
Answer:
This statement is false because there are waves and currents which changes because of the moon
Step-by-step explanation:
raiz cuadrada de -200
Find the complex factors of the quadratic trinomial x^2 + 8x +17
Answer: Factoring x2+8x+17
The first term is, x2 its coefficient is 1 .
The middle term is, +8x its coefficient is 8 .
The last term, "the constant", is +17
Step-1 : Multiply the coefficient of the first term by the constant 1 • 17 = 17
Step-2 : Find two factors of 17 whose sum equals the coefficient of the middle term, which is 8 .
-17 + -1 = -18
-1 + -17 = -18
1 + 17 = 18
17 + 1 = 18
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step
1
:
x2 + 8x + 17 = 0
STEP
2
:
Parabola, Finding the Vertex:
2.1 Find the Vertex of y = x2+8x+17
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is -4.0000
Plugging into the parabola formula -4.0000 for x we can calculate the y -coordinate :
y = 1.0 * -4.00 * -4.00 + 8.0 * -4.00 + 17.0
or y = 1.000
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = x2+8x+17
Axis of Symmetry (dashed) {x}={-4.00}
Vertex at {x,y} = {-4.00, 1.00}
Function has no real rootsvSolving x2+8x+17 = 0 by Completing The Square .
Subtract 17 from both side of the equation :
x2+8x = -17
Now the clever bit: Take the coefficient of x , which is 8 , divide by two, giving 4 , and finally square it giving 16
Add 16 to both sides of the equation :
On the right hand side we have :
-17 + 16 or, (-17/1)+(16/1)
The common denominator of the two fractions is 1 Adding (-17/1)+(16/1) gives -1/1
So adding to both sides we finally get :
x2+8x+16 = -1
Adding 16 has completed the left hand side into a perfect square :
x2+8x+16 =
(x+4) • (x+4) =
(x+4)2
Things which are equal to the same thing are also equal to one another. Since
x2+8x+16 = -1 and
x2+8x+16 = (x+4)2
then, according to the law of transitivity,
(x+4)2 = -1
We'll refer to this Equation as Eq. #2.2.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x+4)2 is
(x+4)2/2 =
(x+4)1 =
x+4
Now, applying the Square Root Principle to Eq. #2.2.1 we get:
x+4 = √ -1
Subtract 4 from both sides to obtain:
x = -4 + √ -1
In Math, i is called the imaginary unit. It satisfies i2 =-1. Both i and -i are the square roots of -1
Since a square root has two values, one positive and the other negative
x2 + 8x + 17 = 0
has two solutions:
x = -4 + √ 1 • i
or
x = -4 - √ 1 • i
Answer:
x=27
Step-by-step explanation:
K(x) = 3x - 5 what's the function
A = {1, 3, 5, 7, 9)
B = {2, 4, 6, 8, 10)
C = {1, 5, 6, 7, 9)
AUB=
Answer:
1,2,3,4,5,6,7,8,9, and 10
Step-by-step explanation:
they are the union of A and B.
I think i helped mark me as brainlist.
thank you have a nice day
The next model of a sports car will cost 6.9% less than the current model. The current model costs $48,000. How much will the price decrease in dollars? What
will be the price of the next model?
Decrease in price:
Price of next model:
Answer:
Price is decreased by $3,312
And, the price of the next model is $44,688
Step-by-step explanation:
The computation is shown below:
Given that the current model cost is $48,000
And, there is 6.9% lower than the current model
So, the price would decrease in dollars is
= $48,000 × 6.9%
= $3,312
The price of the next model is
= $48,000 - $3,312
= $44,688
What information is necessary to prove two triangles are similar by the SAS similarity theorem?
Answer:
If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.
Step-by-step explanation:
The information that important for proving two triangles are same by SAS is as follows:
In the case when the 2 sides in one triangle is proportional to 2 sides for another triangle. And the included angle in both should be considered congruent.So, the two triangles are same.Learn more: brainly.com/question/17429689
Which angle is an x–intercept for the function y=cos(1/2x)? A. 0 B. pie/2 C. pie D. 2pie
Answer:
its c
Step-by-step explanation:
i just took the test on plato
You start at (3,5). You move left and stop at (-5,5). How much distance have you traveled?
Answer:8
Step-by-step explanation:
Distance = √{(x1-x2)^2+(y1-y2)^2}
=√(64+0)
=8
Hello Everybody? Please solve my question:
x^2 + 2 = 4
What is x?
Answer: x=^2 or x=−^2
Step-by-step explanation: hope this help
Centro (2,-3) y radio 2 representado algebraicamente?
Se representa algebraicamente como (x - a) 2 + (y - b) 2 = r2 donde el centro del círculo es el punto (a, b) y tiene un radio r. En el plano complejo un ...
Fregue
11. In a class of 50 students, 35 are girls, what
is the probability that a student selected at
random is a boy?
b=(50-35) and students=50
b/s=15/50=3/10
3m +6 - 8m + 9 = -20
Answer:
m=7
Step-by-step explanation:
Answer:
m=7
-8m+3m=-6-9-20
-5m=-35
-35/-5=7
m=7
y=−2x+1
x−3y=11 find the solution using elimination.
Answer:
Step-by-step explanation:
Using first equation in the second gives you
x-3(-2x+1)=11
x+6x-3=11
7x-3=11
7x=14
x=2, making y=-2x+1 become
y=-2(2)+1
y=-4+1
y=-3 so the solution is the point
(2,-3)
how to do i need help solve
Answer:
51 cm^2
Step-by-step explanation:
We need to make this into pices that we can multiply to get are, luckily we have 2 parts we can seperate.
We can divide this into 2 shapes 9 by 4, and 3 by 5. all we need to do now is 9*4 + 3*5 to get 51 cm^2
Looking for right triangle side a is 1 inch long,and side b is 2 inches long. What is the length of side c?
Answer:
[tex]\sqrt{5}[/tex]
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
In this situation a = 1, b = 2
[tex]1^{2} + 2^{2} = c^{2}[/tex]
1 + 4 = [tex]c^{2}[/tex]
5 = [tex]c^{2}[/tex]
c = [tex]\sqrt{5}[/tex]
This is an important mathematical theorem to know. It's called the Pythagorean Theorem.
p = paint, r = rollers
Use 35.75p + 6r =190 to determine the number of paint needed if a customer bought 6 rollers
Answer: 4.31 point
Step-by-step explanation:
35.75p+6(6)=190 where 35.75p+36=190 35.75p=154 = 4.31 paint
Let g(x) = cos(x/2) - 3x. Let f(x) = 2x + 5. What is g(f(x))?
Answer:
g(f(x)) = [tex]cos(\frac{2x+5}{2} ) - 6x -15[/tex]
Step-by-step explanation:
Explanation:-
Let g(x) = [tex]cos(\frac{x}{2} ) - 3x[/tex] and f(x) = 2x +5
g(f(x)) = g( 2x +5)
= [tex]cos(\frac{2x+5}{2} ) - 3(2x+5)[/tex]
= [tex]cos(\frac{2x+5}{2} ) - 6x -15[/tex]
g(f(x)) = [tex]cos(\frac{2x+5}{2} ) - 6x -15[/tex]
This figure consists of a rectangle and semicircle.
What is the area of this figure?
Use 3.14 for π.
Enter your answer as a decimal in the box.
ft²
Answer:
Step-by-step explanation:
Radius of semicircle = 2 ft
Area of semicircle = 0.5πr² = 0.5π2² = 6.28 sq ft
Area of rectangle = 10 × 4 = 40 sq ft
Total area = 46.28 sq ft
Answer:
46.28
Step-by-step explanation:
please help asap!!!
What is the decimal value of 4/11? Show long division.
How do you know that 4/11 is a repeating decimal?
Answer:
0.3636363636363636
Step-by-step explanation:
Its a repeating decimal because 4 cannot be divided by 11
There ya' go :]
A stack of 5 books welghs 9.5 pounds. If each book weighs the same amount, how much does each book weigh?
20% of the applicants for a certain sales position are fluent in both Chinese and Spanish. Suppose that four jobs requiring fluency in Chinese and Spanish are open. Find the probability that two unqualified applicants are interviewed before finding the fourth qualified applicant, if the applicants are interviewed sequentially and at random.
Answer:
The probability that two unqualified applicants are interviewed before finding the fourth qualified applicant = 0.164
Step-by-step explanation:
Let,
The number of unqualified applicants are interviewed before finding the fourth qualified applicant = x
So,
X be the negative Binomial (n = 4 , P = [tex]\frac{20}{100} = 0.2[/tex] )
As , we know that
P(X = n ) = ⁿ⁺⁴⁻¹Cₙ × (1 - 0.2 )⁴ × (0.2)ⁿ for n = 0, 1, 2, ....
As we have to find the probability that two unqualified applicants are interviewed before finding the fourth qualified applicant
⇒n = 2
∴
P(X = 2 ) = ²⁺⁴⁻¹C₂ × (1 - 0.2 )⁴ × (0.2)² for n = 0, 1, 2, ....
= ⁵C₂ × (0.8 )⁴ × (0.2)²
= [tex]\frac{5!}{2! (5-2)!}[/tex] × 0.41 × 0.04
= [tex]\frac{5.4.3!}{2.1! (3)!}[/tex] × 0.0164
= [tex]\frac{5.4}{2}[/tex] × 0.0164
= 10 × 0.0164 = 0.164
∴ we get
The probability that two unqualified applicants are interviewed before finding the fourth qualified applicant = 0.164
What is the coefficient of x?
8 + 5x - y
5
8
1
-5
A
Answer:
The coefficient is 5.
(Hope this helps! Btw, I am the first to answer. Brainliest pls! :D)
Plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
h(x)≥ 5
Step-by-step explanation:
If h(x) = x+2
Range is the output value for all input variables x
If x <3
h(x) < 3 + 2
h(x) < 5
Also h(x) = -x+8, if x ≥3
h(x ) = -3 + 8
h(x)≥ 5
Combining both inequalities
h(x)≥ 5
5 ≤ h(x) < 5
Hence the required range is h(x)≥ 5