Answer: -4/15
Step-by-step explanation:
The equation of a slope is: [tex]y_{1} - y_{2}/x_{1} - x_{2}[/tex]
You can basically use the y and x values of the both of these equations interchangeably (10-14) or (14-10) and you can get the same answer. However, the order you put in the y values, the x values must follow (if you do (14-10) for the y portion, then the x portion has to be (-7-8))
You just plug in the y values on the top, the x values on the bottom and solve!
1) Plug in your values (10-(14)/8-(-7))
2) Open up your parentheses (10-14/8+7)
3) Solve -4/15
These problems are mostly plugging in stuff so if you know the equation by heart, it becomes super easy :D
Let [tex]\sf a+b,a-b,ab,\dfrac{a}{b}[/tex] form an arithmetic sequence. What is the sixth term of this sequence?
Answer:
171/40 or 4 11/40Step-by-step explanation:
AP givena + b, a - b, ab, a/bTo find6th termSolutionCommon difference
Difference of first two
d = (a -b) - (a + b) = -2bDifference of second two
d= ab - (a - b)Difference of last two
d = a/b - abNow comparing d:
-2b = ab - (a - b)ab - a = - 3ba(1 - b) = 3ba = 3b/(1 - b)and
a/b - ab = -2ba(1/b - b) = -2ba = 2b²/(b² - 1)Eliminating a:
2b²/(b² - 1) = 3b/(1 - b)2b/(b+1) = -32b = -3b - 35b = - 3b = -3/5Finding a:
a = 3b/(1 - b) = 3*(-3/5) *1/(1 - (-3/5)) = -9/5*5/8 =-9/8So the first term is:
a + b = -3/5 - 9/8 = -24/40 - 45/40 = - 69/40Common difference:
d = -2b = -2(-3/5) = 6/5The 6th term:
a₆ = a₁ + 5d =-69/40 + 5*6/5 = -69/40 + 240/40 =171/40 = 4 11/40Which expressions are equivalent to 16? Select each correct expression
1 to the 16th power
2 to the 4th power
4 to the 2nd power
8 to the 2nd power
16 to the power of 0
16 to the power of 1
Answer: Choose 2 to the 4th power, 4 to the 2nd power, and 16 to the power of 1
Step-by-step explanation:
When working with exponents, whatever number is the corner of another number, multiply it by itself. For instance, if you have 2 to the 4th power, multiply 2x2x2x2 which is 16. Also there is 4 to the 2nd power which is 4x4 which is also 16. Lastly you have 16 to the power of 1 and anything multiplied by 1 stays the same.
Correct choices are 2 to the 4th power, 4 to the 2nd power, and 16 to the power of 1.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
When working with exponents, whatever number is the corner of another number, multiply it by itself.
For instance, if you have 2 to the 4th power, multiply 2x2x2x2 which is 16. Also, there is 4 to the 2nd power which is 4x4 which is also 16. Lastly, you have 16 to the power of 1 and anything multiplied by 1 stays the same.
Therefore, the correct choices are 2 to the 4th power, 4 to the 2nd power, and 16 to the power of 1.
To know more about an expression follow
https://brainly.com/question/723406
#SPJ2
what is 56+32 gcf and sum
Answer:
The GCF=8 The Sum=88
Solve the equation using mental math
1
+
= 6
11
12
4
01
35
48
052
w
WINWIN
06
072
6
Mrs. Davis and Ms. Moore bought treats for their students. Mrs. Davis bought cookies for $12.56 and Ms. Moore bought popcorn for $11.08. Another teacher, Mrs. Baynes, couldn't go to the store, but wanted to help with the cost of the treats. If the teachers split the cost evenly, how much would each teacher have to pay?
Answer:
4.546
Step-by-step explanation:
total cost=12.56+11.08
=13.64
total no of person=3
cost for each person=13.64/3
=4.5467
Consider the line 2x+8y=8.
What is the slope of a line
parallel to this line?
What is the slope of a line perpendicular to this line?
Answer: parallel = - 1/4
Step-by-step explanation: perpendicular= 4
Answer:
Parallel = -1/4 ; Perpendicular = 4
Step-by-step explanation:
First, I'll put the line into slope-intercept form.
2x + 8y = 8
8y = -2x + 8
y = -1/4x + 1
Now we know that the slope is -1/4.
A parallel line would have the same slope of -1/4.
A perpendicular line would have a slope of 4.
LCM of 189024
please give me answer my question
Answer:
360
Step-by-step explanation:
We need to find the LCM of 18,90 and 24.
The prime factorization of 18 = 2 × 3 × 3
The prime factorization of 90 = 2 × 5×3×3
The prime factorization of 24 = 2 × 3×2×2
LCM is least common multiple.
LCM = 2 x 2 x 2 x 3 x 3 x 5
= 360
Hence, the LCM of 18,90 and 24 is 360.
Quadrilateral RUST has a vertex at R (1,2). U S What are the coordinates of R'after a dilation by a scale factor of 3, centered at the origin, followed by the translation (x, y) - (x + 2, y)?
A. (5,8)
B. (5,2)
C. (9,6)
D. (5,6)
Answer:
D. [tex](5,6)[/tex]
Step-by-step explanation:
Let [tex]R(x,y) = (1,2)[/tex], we proceed to perform all operations described on statement:
1) Dilation
[tex]R'(x,y) = O(x,y) + k\cdot [R(x,y)-O(x,y)][/tex] (1)
Where:
[tex]O(x,y)[/tex] - Point of reference.
[tex]R(x,y)[/tex] - Original point.
[tex]R'(x,y)[/tex] - Dilated point.
[tex]k[/tex] - Scale factor.
If we know that [tex]O(x,y) = (0,0)[/tex], [tex]R(x,y) = (1,2)[/tex] and [tex]k = 3[/tex], then the dilated point is:
[tex]R'(x,y) = (0,0) +3\cdot [(1,2)-(0,0)][/tex]
[tex]R'(x,y) = (0,0) +3\cdot (1,2)[/tex]
[tex]R'(x,y) = (3,6)[/tex]
2) Translation
[tex]R''(x,y) = R'(x,y) + T(x,y)[/tex] (2)
Where:
[tex]R'(x,y)[/tex] - Original point.
[tex]T(x,y)[/tex] - Translation point.
[tex]R''(x,y)[/tex] - Translated point.
If we know that [tex]R'(x,y) = (3,6)[/tex] and [tex]T(x,y) = (2,0)[/tex], then the translated vector is:
[tex]R''(x,y) = (3,6)+(2,0)[/tex]
[tex]R''(x,y) = (5,6)[/tex]
Therefore, the correct answer is D.
Answer:d
Step-by-step explanation:
a. The sum of a number and one is equal to one added to the number.
The function f(x) = -square root x is shown on the graph.
Which statement is correct?
ТУ
7
6
5
3
The domain of the function is all real numbers less
than or equal to - 1
O The range of the function is all real numbers greater
than or equal to 0.
The range of the function is all real numbers less
than or equal to 0.
The domain of the function is all real numbers less
than or equal to 0.
2
55
14
-
2
-
3
4 5 6 7 X
-2
3
4
-5
-6
Answer:
O The range of the function is all real numbers greater
than or equal to 0.
Step-by-step explanation:
The function f(x) = -square root x is shown on the graph.
Which statement is correct?
ТУ
7
6
5
3
The domain of the function is all real numbers less
than or equal to - 1
O The range of the function is all real numbers greater
than or equal to 0.
The range of the function is all real numbers less
than or equal to 0.
The domain of the function is all real numbers less
than or equal to 0.
2
55
14
-
2
-
3
4 5 6 7 X
-2
3
4
-5
Answer:
C:domain: all real numbers
range: all real numbers greater than 1
Step-by-step explanation:
Edge 2021
What is the rectangular form of z = 6(cos((3pi)/4) + i sin((3pi)/4))
Answer:
Z= -3 square root 2 + 3i square root 2
Step-by-step explanation:
Answer:
C :)
Step-by-step explanation:
got it right on edge, hope it helps
A little girl kicks a soccer ball. It goes 10 feet and comes back to her. How is this possible?
Answer:
She kicked the ball upwards.
Step-by-step explanation:
:)
Answer:
She kicked the ball up. Thanks for 50 points. :)
Step-by-step explanation:
Find the least common multiple (LCM) of 4 and 5.
9514 1404 393
Answer:
20
Step-by-step explanation:
4 and 5 have no common factors*, so their least common multiple is their product:
4 × 5 = 20
The LCM of 4 and 5 is 20.
_____
* We're concerned with integer factors greater than 1. Of course, 1 is a factor of everything, We could say this as "no common prime factors". For computing the LCM, we really want the GCF (greatest common factor) for use in the formula ...
LCM(m, n) = mn/GCF(m, n)
What is the area, in square units, of the parallelogram shown below?
21
56
63
81
Answer:
63
Step-by-step explanation:
You find the area of a parallelogram the same way you would a rectangle.
A = lw or A = bh so A = (9)(7). A = 63
Answer:
C. 63
Step-by-step explanation:
To find the area of a parallelogram, it is the same formula to find a rectangles area. L x H or Base x Height.
Have a great day!
The depth (inches) of water that accumulates in the spring soil from melted snow can be determined by dividing the cumulative winter snowfall (inches) by 12. Determine the amount of winter snow that accumulates 6 inches of water in the soil.
a.
6 inches of snow
b.
84 inches of snow
c.
72 inches of snow
d.
12 inches of snow
Answer:
C
Step-by-step explanation:
its just 12 times 6
Answer:
c
Step-by-step explanation:
I took the test and got it right
Convert to centimeters: 43 meters
Katie's baby took 3 naps. Each nap was of an hour long.
6
How long did the baby nap in all? Move numbers to the blanks to answer the question.
Answer:
18 naps
Step-by-step explanation:
We have the keyword each, so we are multiplying, so our equation is:
3 x 6 = 18
So, Katie's baby napped for 18 hours in all
Answer:
18 is the answer
Which data sets have outliers? Check all that apply
14,21,24,25,27,32,35
15,30,35,41,44,50,78
16,32,38,39,41,42,58
17,23,28,31,39,45,75
18,30,34,38,43,45,68
Answer:
C.16, 32, 38, 39, 41, 42, 58
and
E.18, 30, 34, 38, 43, 45, 68
its C. & E.
they both have outliers lol
The line passes through (6,3) and (-1,-8)
Answer:
OK AND CAN U TELL ME WHAT TO ANSWER SO I CAN HELP
Step-by-step explanation:
THIS IS THE LINE I DID ON A GRAPH
Answer:
=gitchie ggitchei yayadada
find slope of the line that passes through the two points (3,11) and (9,16)
Answer:
5 over 6
Step-by-step explanation:
y2-y1 over x2-x1 is the equation you need. Y2 in this case is 16, Y1 is 11 and X2 is 9 and X1 is 3 so then you just plug it is. 16 - 11 is 5 and 9 - 3 is 6
An item on sale costs 85% of the original price. The original price was $75.
Answer:
$63.75
Step-by-step explanation: I think
Which is a factor of 72
Answer:
1,2,3,4,6,8,9,12,18,24,36 and72
Which graph represents the solution to the system of inequalities?
{y<−4x+1
{y≥−14x
Answer:
1st graph on line 2
Step-by-step explanation:
Peter has 36 shirts in his closet, 2/9 of the shirts are striped. If the remaining shirts
are solid, how many shirts is that? What fraction of Peters shirts are solid?
Answer:
28 shirts are sold
7/9 of the shirts are sold
Step-by-step explanation:
hope this helps <3
If the area of each of the triangular regions is as shown, what is the area of the polygon?
18
17
16
Answer:
18
Step-by-step explanation:
Avery's classroom has 3 round tables and 6 square tables. Each table can seat 4 students.
Students are randomly seated at the tables as they arrive to class.
What is the probability that the first student to arrive will be seated at a square table
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B and C
Step-by-step explanation:
For the first one, any two shades of paint will be different if they're different numbers, and the same shade if they're the same numbers. Knowing this, we can see:
A , D, and E are all the same number (1/3) so they're all the same shade.
The remaining shades (B and C) are both 1/2 so they're the same shade.
Therefore there are two different shades of paint.
For the second one, we know that the more red the shade is, the larger the fraction will be. So we just need to look for the shades with the largest fraction. These are shades B and C, because they are both 1/2 (aka 50% red), whereas all the others are 1/3 (aka 33.3% red).
Simplify:
3 + {[(8 ÷ 2) + 2] + 8} =
Answer:
The answer is 17
hope this helped and good luck on your test! :D
Step-by-step explanation:
Evalute the root in the question below in the screenshot
(precalc)
Answer:
Graph attached
Step-by-step explanation:
jenkins-traub method for the complicate calculation
it has 1 real root: 1.5164
2 complex roots : neglected
You buy a house for $230,000. It appreciates at a rate
of 2.8% per year. Find the value after 15 years
Answer:
1,232,142
Step-by-step explanation:
bro just use a calculator