Answer:
(0,1)
Step-by-step explanation:
The solution to a system of equations is where the two lines intersect. Algebraically, you could solve this by setting the equations equal to each other.
I hope this helps!
In right triangle ABC, ∠A is a right angle and sinC=15/17. What is the ratio cos C?
Answer:
8/17Step-by-step explanation:
From the triangle, given sin C=15/17 we will use the trigonometry identity to get the ratio of cosC. Using the SOH CAH TOA identity;
sinC = opp/hyp = 15/17
opposite = 15
hypotenuse = 17
According to pythagoras theorem;
hyp² = opp²+adj²
17² = 15² + adj²
adj²= 17²-15²
adj = √64
adj = 8
Since cosC = adj/hyp
cosC = 8/17
The ratio of cos is 8/17
Evaluate A² for A = 2.3
Answer:
5.29
Step-by-step explanation:
From A=2.3, A^2=2.3^2.3=2.3*2.3=5.29Which of the following expressions represents the area, in square meters, of the regular decagon (10-sided polygon) with 3.25 meter-sides and a 5-meter apothem.
Answer:
A = P * a / 2
A = 81.25
Step-by-step explanation:
We have that there is a corresponding formula for a regular decagon, which depends on the apothem and the perimeter, it is the following:
A = P * a / 2
In this case, the perimeter is the sum of all the sides, that is, 10 sides, therefore:
P = 10 * 3.25
P = 32.5 meters
We replace:
A = 32.5 * 5/2
A = 81.25
Which means that for that regular decagon, the area is 81.25 square meters.
There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores were 82%,
92%, 76%, 72%, 92%, 74%, 80%, and 78%. What was the median math score of the sophomores?
79%
82%
87%
92%
Answer:
79%
Step-by-step explanation:
median is the middle no.
arrange the scores in descending order
72,74,76,(78,80),82,92,92
78+80, divide 2= 79%
what are solutions for |x+4|=3x-5
Answer:
Step-by-step explanation:
12. Which of the following numbers is
contained in the solution set of the
inequality 1-5x + 35| > 20?
A
-1
B
3
С
9
D
10
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Which expression is equivalent to (StartFraction 4 m n Over m Superscript negative 2 Baseline n Superscript 6 Baseline EndFraction) Superscript negative 2? Assume m not-equals 0, n not-equals 0. StartFraction n Superscript 6 Baseline Over 16 m Superscript 8 Baseline EndFraction StartFraction n Superscript 10 Baseline Over 16 m Superscript 6 Baseline EndFraction StartFraction n Superscript 10 Baseline Over 8 m Superscript 8 Baseline EndFraction StartFraction 4 m cubed Over n Superscript 8 Baseline EndFraction
Question
Which expression is equivalent to [tex]\frac{4mn}{m^{-2}n^6}[/tex]. Assuming [tex]m \neq 0; n\neq 0[/tex]
Answer:
[tex]\frac{4m^3}{n^5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4mn}{m^{-2}n^6}[/tex]
Required:
Simplify
To simplify this, we start by splitting each individual function
[tex]\frac{4mn}{m^{-2}n^6} = \frac{4m}{m^{-2}} * \frac{n}{n^6}[/tex]
From laws of indices
[tex]\frac{a^x}{a^y} = a^{x-y}[/tex]
SO, the above expression can also be expressed the same way
[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{1-(-2)} * n^{1-6}[/tex]
[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{1+2)} * n^{1-6}[/tex]
[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{3} * n^{-5}[/tex]
From laws of indices,
[tex]a^{-x} = \frac{1}{a^x}[/tex]
So,
[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{3} * \frac{1}{n^5}[/tex]
[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = \frac{4m^3}{n^5}[/tex]
Hence, [tex]\frac{4mn}{m^{-2}n^6}[/tex] is equivalent to [tex]\frac{4m^3}{n^5}[/tex]
Answer:
A
Step-by-step explanation:EDGE (not sure if im right let me know)
Write down the solution for 5x - 12 = x - 8. Write down your answer in the form x =
Answer:
x= 1
Step-by-step explanation:
5x - 12 = x - 8
Subtract x from each side
5x -12 -x = x-8-x
4x -12 = -8
Add 12 to each side
4x-12+12 = -8+12
4x = 4
Divide each side by 4
4x/4 = 4/4
x = 1
(6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)=
Answer:
Step-by-step explanation:
6m^5-2m^3-m^3-4m+4m+3-6
7m^5-3m^3-3
Answer:
[tex]7m^5-3m^3-3[/tex]
Step-by-step explanation:
[tex](6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)= \\\\(6m^5+m^5)+(-m^3-2m^3)+(-4m+4m)+3-6= \\\\7m^5-3m^3-3[/tex]
Hope this helps!
wegnerkolmp2741o plz help me only wegnerkolmp2741o
Answer:
1. Triangular prism
5 faces6 vertices9 edges2. Trapezoidal prism
6 faces8 vertices12 edges3. Pentagonal prism
7 faces10 vertices15 edges4. Hexagonal prism
8 faces12 vertices18 edgesJames is one-third the age of his father Steve. The sum of their ages is 68. How old is James and Steve?
Plese explain in simpler words and use 'x' as the variable..
the one who answers first will get brainliest..
Answer: James + Steve = 68. = 17*3 = 51. Answer. Steve is 51 years old.
write 10 examples of cube that you see in your daily life
Answer:
Step-by-step explanation:
1. Ice Cubes
2. Dice
3. Sugar Cubes
5. Old Iron Lockers
6. Gift Box
7. Cube Building Blocks
The roots of a certain quadratic equation is 1 and 2/3. Determine the equation
Answer:3x^2-5x+2=0
Step-by-step explanation:
Format of a quadratic equation= ax^2 +bx+c
Let x=1 and 2/3
When x=1
x-1=0.......(1)
When x=2/3
x-2/3=0.........(2)
Compare the equations
(x-1)(x-2/3)=0
x^2-2/3x-x+2/3=0
x^2-5/3x+2/3=0
Multiply all terms by 3
3x^2-5x+2=0
I need help please :((
Answer:
Function, passes the vertical line test
Step-by-step explanation:
The graph is a function. The points have a one to one correspondences as demonstrated by the vertical line test. Since only one point on the graph is touching a vertical line at a time, it will pass the vertical line test
Please help me (this is one questionn)
Answer:
Below.
Step-by-step explanation:
Reading off the graph:
y-intercept = (0, 2.5)
x-intercept = (3.5, 0)
Factor each polynomial using the difference of two squares patt
square trinomial pattern.
x² – 9
Answer:
(x+3)(x-3)
Step-by-step explanation:
It is a difference of squares so it is sqrt of x^2 gives x and sqrt of 9 gives +3, -3. So we get (x+3)(x-3).
Please help!! Will give brainliest!
Solve for z show work
Answer:
18 1/2
Step-by-step explanation:
1/2z = 9 1/4
1/2z = 37/4
z = 74/4 (Multiplied on both sides by 2 to get of the 1/2)
z = 18 1/2
Investigate the relationship between the T-total and the T-number.
Answer:
feed me brainly points
Step-by-step explanation:
brainliest?
you've got a summer job renting beach umbrellas and chairs to tourists at the beach. part of your job is to encourage people to rent from you,your pay structure includes an incentive. along with a daily rate of pay of $50, you earn an extra $2 per umbrella you rent and $1 per chair you rent. you kept a tally of the number of umbrellas and chairs you rent each day. what is the function you can use to quickly calculate your earnings?
Answer:
50+2x+y
Step-by-step explanation:
50 dollars plus 2dollars , x representing how many umbrellas are being rented, and y representing how many chairs are rented
Can anyone help me ?????
Answer:
Step-by-step explanation:
The graph of a function and its inverse will always reflect through the line
y = x.
This is because a function has a specific set of coordiates, (x, y). That function's inverse has a set of coordinates that flips the x and y coordinates. For example, if a function has a set of coordinates (0, 1), (2, 3), (4, 5) then its inverse will have the coordinates (1, 0), (3, 2), (5, 4). If you plot the function's points and then the inverse's points in the same plane (meaning on the same graph) and connect the dots, you will see that the function and its inverse are reflections of each other through y = x. Below is an example of this. The dotted purplish line is the line y = x.
Which of the following expressions represents the verbal description below?
the cube of the difference of 4 times x and 6 divided by 2 times the sum of x and 1
Answer:
((4x-6)^3)/(2(x+1))
Answer:
[tex]\frac{(4x - 6)^3}{2 (x + 1)}[/tex]
Step-by-step explanation:
the difference of 4 times x and 6 4x - 6
the cube of the difference of 4 times x and 6 [tex](4x - 6)^3[/tex]
the sum of x and 1 x + 1
2 times the sum of x and 1 2(x + 1)
the cube of the difference of 4 times x and 6
divided by 2 times the sum of x and 1 [tex]\frac{(4x - 6)^3}{2 (x + 1)}[/tex]
Therefore, the verbal description "the cube of the difference of 4 times x and 6 divided by 2 times the sum of x and 1" translates to the expression below.
[tex]\frac{(4x - 6)^3}{2 (x + 1)}[/tex]
Mr Hassan gave his year 7 class a test on Friday. the highest possible mark for the test was 10.
Answer:
To solve this question, we just need to observe the given graph.
(A) How many pupils scored more than 8 in the test?
Each little square is equivalent to 0.5 units, so there are 5 students who fot more than 8. Specifically, 1 got 8 points and 4 students got 10.
(B) How many pupils are there in Mr. Hassan's Year 7 class?There are 33 pupils in total, remember that each little square is equivalent to 0.5 units.
(C) What assumption have you made in answering part b)?The assumption was that the majority of pupils scored less than 8.
plz help!! i believe it's a but i'm not 100% sure
Answer:
its a
Step-by-step explanation:
select all that are equal to 5^3*5^-7
a. 1/5^-4
b. 1/5^4
c. 5^-4
d. 5^4
e. 1/-625
Answer:
5^3*5^-7 = 1/5^4 b. is true = 625
5^3*5^-7 = 5^-4 c. is true = 625
Step-by-step explanation:
b. Left hand side
Simplify the following:
5^3/5^7
Combine powers. 5^3/5^7 = 5^(3 - 7):
5^(3 - 7)
3 - 7 = -4:
5^(-4)
5^4 = (5^2)^2:
1/(5^2)^2
5^2 = 25:
1/25^2
| 2 | 5
× | 2 | 5
1 | 2 | 5
5 | 0 | 0
6 | 2 | 5:
Answer: 1/625
Right hand side:
Simplify the following:
1/5^4
5^4 = (5^2)^2:
1/(5^2)^2
5^2 = 25:
1/25^2
| 2 | 5
× | 2 | 5
1 | 2 | 5
5 | 0 | 0
6 | 2 | 5:
Answer: 1/625
_____________________________
c. Left hand side (see above)
Right hand side:
Simplify the following:
5^(-4)
5^4 = (5^2)^2:
1/(5^2)^2
5^2 = 25:
1/25^2
| 2 | 5
× | 2 | 5
1 | 2 | 5
5 | 0 | 0
6 | 2 | 5:
Answer: 1/625
Answer:
The answers are B and C. The other person is wrong.
Step-by-step explanation:
Write an equation perpendicular to the line y = 3x + 5 through the point (6, -5). State your answer as y=mx+b.
Answer:
y=(-1/3) x - 3
Step-by-step explanation:
A line that is perpendicular to it has a slope that is an opposite reciprocal, which in this case is -1/3. Now you use point slope form which is y-y1=m(x-x1) that would be y+5=-1/3(x-6). Distribute the -1/3 and get y+5= -1/3 x+ 2. Subtract 5 from both sides and get y=-1/3 x - 3
Solve 2 - x= -7.
O A. x=-9
O B. x= 5
O C. x= -5
O D. x= 9
Answer:
x = 9
Step-by-step explanation:
2 - x= -7
Subtract 2 from each side
2- 2 - x= -7-2
-x = -9
Multiply by -1 on each side
x = 9
Compare and contrast the Angle Angle Similanty Postulate, the Side Side Side Similarity Theorem and the Side Angle
Side Similanty Theorem
Write about the similantes and the differences that you observe.?
Answer:
The similarities are
1) Two triangles are similar when they meet either the (Angle Angle) AA, (Side Side Side) SSS or (Side Angle Side) SAS criteria
2) When two triangles meet either of the above similarity criteria they automatically meet the other similarity criteria
3) The ratio of their equivalent sides are equal such that when ΔABC is similar to ΔDCE we have;
AB/DC = AC/DE = BC/CE
The observed differences are
1) Triangles that meet the SAS and SSS Similarity Theorem criteria can be said to be congruent, that is they have both the same side sizes and angle sizes while triangles that meet only the AA Similarity Postulate criteria may or may not be congruent
2) The number of possible triangles formed by the SAS or SSS Similarity Theorem criteria is only one while the number of possible triangles formed by the AA Similarity Postulate criteria is infinite
3) A triangle that meets either the SAS or SSS Similarity Theorem criteria also meets the AA Similarity Postulate criteria
4) A triangle that meets either the AA Similarity Postulate criteria does not necessarily meet the AA Similarity Postulate criteria.
Step-by-step explanation:
The similarity postulates are;
The Angle Angle Similarity Postulate also known as AA
The Side Side Side Similarity Theorem also known as SSS
The Side Angle Side Similarity Theorem also known as SAS
Elsa used the multiplication table below to write ratios that are equivalent to StartFraction 12 Over 4 EndFraction.
A multiplication table.
One number is missing from the equivalent ratio, as shown.
StartFraction blank Over 12 EndFraction
What is the missing number?
6
18
24
36
Answer:18
Step-by-step explanation:because it was in the same column
Answer:
Its actually 24 because 4 times 6 is 24 and 12 times 2 is 24
Please help me I’m stuck.
Answer:
Step-by-step explanation:
We will use the general area formula for finding the area of triangle when you are given information for SAS, which we have been.
[tex]A=\frac{1}{2}absinC[/tex] , where a and b are the given side lengths and C is the included angle. You can ONLY use this when you have the info for SAS in a triangle. For us,
a = 17, b = 15 and C = 35 degrees. Filling in:
[tex]A=\frac{1}{2}(17)(15)sin35[/tex]
Do that on your calculator in degree mode and you'll find the area to be
73.1 meters squared
According to survey records, 75.4% of women aged 20-24 have never been married. In a random sample of 25 young women aged 20-24, find the mean, variance and standard deviation for the number who are or who have been married.
Answer:
mean = 6.15
variance = 4.637
standard deviation = 2.15
Step-by-step explanation:
It is given that 75.4% of women aged 20-24 have never been married.
We are interested in finding the mean, variance and standard deviation for the number who are or who have been married.
So the percentile of women who have been married is given by
[tex]p = 1 - 0.754 \\\\ p = 0.246 \\\\q = 1 - p \\\\q = 1 - 0.246 \\\\q = 0.754[/tex]
The mean is given by
[tex]mean = n\times p[/tex]
Where n is the sample size
[tex]mean = 25\times 0.246 \\\\mean = 6.15[/tex]
Therefore, the mean is 6.15
The variance is given by
[tex]variance = n \times p \times q \\\\variance = 25 \times 0.246 \times 0.754 \\\\variance = 4.637[/tex]
Therefore, the variance is 4.637
The standard deviation is given by
[tex]standard \: deviation = \sqrt{variance} \\\\standard \: deviation = \sqrt{4.637} \\\\standard \: deviation = 2.15[/tex]
Therefore, the standard deviation is 2.15