Answer:
c. (−6,−4),(−3,−3)
Step-by-step explanation:
a). y2 - y1 / x2 - x1
-6 - (-3) / -3 - (-4)
-3/ 1
= -3
b). y2 - y1 / x2 - x1
0 - (-1) / -3 - (-18)
= 1/15
c). y2 - y1 / x2 - x1
-3 - (-4) / -3 - (-6)
= 1/3
d). y2 - y1 / x2 - x1
-6 - (-3) / -3 - (-2)
3
Answer:
D
Step-by-step explanation:
ALWAYS REMEMBER THIS EQUATION: [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Find the slope of answer A
1. [tex]\frac{-6 - -3}{-3 - -4} = \frac{-3}{1}[/tex]
2. This answer is not perpendicular to "l" because it is equal to -3. (Even if it has a different y-intercept, it will just be parallel, not perpendicular.)
Find the slope of answer B
1. [tex]\frac{0 - -1}{-3 - -18} = \frac{1}{15}[/tex]
2. This answer is not perpendicular to "l".
Find the slope of answer C
1. [tex]\frac{-3 - -4}{-6--2} = \frac{1}{-4}[/tex]
2. This answer is not perpendicular to "l".
Find the slope of answer D
1. [tex]\frac{-6 - -3}{-3 - -2} = \frac{-3}{-1}[/tex]
2. This answer is perpendicular to "l" because 3 is the inverse of -3.
The graph shows the growth rate of a certain bacteria in a lab, where the number of bacteria depends on the number of hours since the start of the experiment.
Based on the graph, what is the approximate number of bacteria after 16 hours?
6 bacteria
8 bacteria
60 bacteria
80 bacteria
Answer:
The input for the method is a continuous function f, an interval [a, b], and the function values f(a) and f(b). The function values are of opposite sign (there is at least one zero crossing within the interval). Each iteration performs these steps: Calculate c, the midpoint of the interval, c = a + b2.
Step-by-step explanation:
---------------------------
Answer:
60 bacteria
Step-by-step explanation:
c on edge 2022
Q. The ratio 12:27 simplified to the form 1:n is *
a-1:2.25
b-1: 0.4
Answer:
1:2.25
12/12 = 1
27/12 = 2.25
Hope this helps!
A ball is thrown into the air from the top of a building. The height, h(1), of the ball above ground, t seconds after it is
thrown, can be madeled by the function h(t) = -16t2 + 64t + 80. Based on the function, the "80"
represents what?
a. The time when the ball hits the ground
b. The distance the ball travels.
C. The speed of the ball
d. The initial height of the ball
Answer:
d
Step-by-step explanation:
dddddddddddddddddddd
please help me rules of differantion
Answer:
Step-by-step explanation:
Do this by making this 2-part function into one all-in. Do this by finding a common denominator and then writing the function as one, over the common denominator, x. When we do this we get the function:
[tex]y=\frac{3x^3-2}{x}[/tex] and we will use the rule for quotients, which is the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all over the denominator squared. For us, that is, in steps:
[tex]y'=\frac{x(9x^2)-(3x^3-2)(1)}{x^2}[/tex] which simplifies to
[tex]y'=\frac{9x^3-3x^3+2}{x^2}[/tex] which simplifies finally to
[tex]y'=\frac{6x^3+2}{x^2}[/tex]. Nothing else you do can make this any more simplified.
2x²+5x-3=0
using completing the square method
Answer:
[tex]2 {x}^{2} + 5x - 3 = 0 \\ 2( {x}^{2} + \frac{5}{2} x - \frac{3}{2} ) = 0 \\ 2( {x}^{2} + \frac{5}{2} x + {( \frac{5}{4} )}^{2} ) - \frac{3}{2} - {( \frac{5}{4} )}^{2} ) = 0 \\ ( {(x + \frac{5}{4} )}^{2} = \frac{49}{16} \\ x + \frac{5}{4} = ± \frac{7}{4} \\ x = 0.5 \: \: and \: \: 3[/tex]
Answer:
x= [tex]\frac{1}{2}[/tex] or x= -3
Step-by-step explanation:
[tex]\boxed{x^{2} +kx=(x+\frac{k}{2})^{2} -(\frac{k}{2})^{2} }[/tex]
First ensure that the coefficient of x² is 1.
x² +[tex]\frac{5}{2}[/tex]x -[tex]\frac{3}{2}[/tex]= 0
[x +([tex]\frac{5}{2}[/tex] ÷2)]² -([tex]\frac{5}{2}[/tex] ÷2)² -[tex]\frac{3}{2}[/tex]= 0
(x +[tex]\frac{5}{4}[/tex])² -([tex]\frac{5}{4}[/tex])² -[tex]\frac{3}{2}[/tex]= 0
(x +[tex]\frac{5}{4}[/tex])²- [tex]\frac{25}{16}[/tex] -[tex]\frac{3}{2}[/tex]= 0
(x +[tex]\frac{5}{4}[/tex])² -[tex]\frac{49}{16}[/tex]= 0
(x +[tex]\frac{5}{4}[/tex])²= [tex]\frac{49}{16}[/tex]
x +[tex]\frac{5}{4}[/tex]= [tex]\sqrt{\frac{49}{16} }[/tex] (square root both sides)
x +[tex]\frac{5}{4}[/tex]= ±[tex]\frac{7}{4}[/tex]
x= -[tex]\frac{5}{4}[/tex] +[tex]\frac{7}{4}[/tex] or x= -[tex]\frac{5}{4}[/tex] -[tex]\frac{7}{4}[/tex]
x= [tex]\frac{1}{2}[/tex] or x= -3
Darius has a 6 month loan for $500. He must pay 5.6% annual interest on the loan. Using the formula for simple interest, I=Prt, where I is interest owed, P is the amount borrowed, r is the rate as a decimal, and t is time in years, find the amount of interest owed by Darius after 6 months
A. $16.80
B. $140
C. $168
D. $14
Answer:
14
Step-by-step explanation:
Write as a single fraction in its simplest form.
how do you do this?
Answer:
(-12x - 25) / (x + 3) (x - 5)
Step-by-step explanation:
1 - 2x/(x+3) + (x+3)/(x - 5)
= {(x + 3)(x - 5) - 2x(x - 5) + (x + 3)(x - 3)} / (x + 3) (x - 5)
= {(x² -5x + 3x - 16) - (2x² + 10x) + (x² - 3x + 3x - 9)} / (x + 3) (x - 5)
= x² - 2x - 16 - 2x² - 10x + x² - 9 / (x + 3) (x - 5)
= x² - 2x² + x² - 2x - 10x - 16 - 9 / (x + 3) (x - 5)
= (-12x - 25) / (x + 3) (x - 5)
The diagram shows equilateral triangle RST with altitude SV
It is given that RV = 6 meters. What is the length of ST?
Answer:
ST is 12 meters
Step-by-step explanation:
The given triangle ΔRST = An equilateral triangle
The altitude of ΔRST = SV
The length of segment RV = 6 meters
Given that ΔRST is an equilateral triangle, the base angles of the triangles = 60°, therefore, in the formed triangles, ΔRSV, and ΔTSV, ∠RSV = ∠TSV = 90° - 60° = 30°
∴ ΔRSV, and ΔTSV are congruent, based on ASA rule of congruency
∴ Side VT in ΔTSV is congruent to side RV in triangle ΔRSV
The midpoint of side ST
VT ≅ RV
Therefore, VT = RV = 6 meters
RT = RV + VT = 6 + 6 = 12 By segment addition property
In equilateral triangle, ΔRST, all the sides are equal, therefore;
RT = RS = ST = 12 m
ST = 12 meters.
the sum of the squares of two consecutive integers is 481. Find the integers
Answer:
{15, 16} or {-15, -16}
Step-by-step explanation:
Quick solution:
take half of the sum (approx. 240), sqrt(240)=15.5
So the numbers are 15 and 16. and also the negative equivalents since squares are always positive.
Exact method:
Let
x=smaller integer,
x+1 = next integer.
sum:
x²⁺(x+1)^2 = 481
2x^2 + 2x + 1 = 481
2x^2 + 2x - 480 = 0
x^2 + x -240 = 0
x = 15 or x = -16
so the integers are
either
{15, 16} or {-15, -16}
The sum of the squares of two consecutive integers is 481 will be -15 & -16 and 15 and 16.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Successive numbers are those that follow one another continually, from lowest to biggest. For instance, the numbers 1, 2, 3, 4, 5, and so on are all consecutive.
Assume 'x' is the number and the successive number is (x + 1).
The sum of the square of the consecutive number is 481. Then the equation of the number is given as,
x² + (x + 1)² = 481
Simplify the equation, then we have
x² + (x + 1)² = 481
x² + x² + 2x + 1 = 481
2x² + 2x - 480 = 0
x² + x - 240 = 0
x² + 16x - 15x - 240 = 0
x(x + 16) - 15(x + 16) = 0
(x + 16)(x - 15) = 0
x = 15, -16
Then the successive numbers are given as,
x + 1 = 15 + 1
x + 1 = 16
x + 1 = - 16 + 1
x + 1 = - 15
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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if 20% of ms.moore's class earned a d how many of her 30 students earned a d what percent of students earned a different grade
Answer:
6 students earned a d and 80% got other
Step-by-step explanation:
Answer:
6 students, 80% of students
Step-by-step explanation:
20% of her 30 students earned a D. To find exactly how many students earned a D, we can convert the 20% into a fraction and thereby multiply the fraction by 30.
[tex]20[/tex]%[tex]=[/tex]
[tex]\frac{20}{100}=\\\frac{1}{5}[/tex]
Ok, [tex]\frac{1}{5}[/tex] of Ms. Moore's 30 students earned a D. Let's multiply.
[tex]\frac{1}{5}*\frac{30}{1} =\\6[/tex]
6 students in Ms. Moore's class earned a D.
Therefore, the rest of the class earned a different grade. [tex]30-6=24[/tex] students had a different grade. To find the percentage, we simply divide by the total number of students and multiply by 100%
[tex]\frac{24}{30} =\\\frac{4}{5} =\\0.8=[/tex]
[tex]80[/tex]%
80% of students in Ms. Moore's class got a grade other than D.
I hope this helps! Let me know if you have any questions :)
The formula for centripetal acceleration, a, is given by this formula, where v is the velocity of the object and r is the object’s distance from the center of the circular path: a=v^2/r . Solve the formula for r.
Answer:
r = V^2/a
Step-by-step explanation:
Here, we want to write the formula for r
What this simply mean is that we want to make r the formula subject
We have this as follows;
a = V^2/r
r = V^2/a
If an angle does not have a measure of 88°, then the angle is not an acute angle.
Create an answer sheet to upload as a photo WITH all work shown.
1. Calculate the exact and approximate measure for angle theta (round to two decimal places).
С
Exact
13
4
B
Approximate
2. Calculate the exact and approximate length for the side x (round to two decimal places)
B
Exact
Х
Approximate
320
A
13
С
I
3. Calculate the value for cos o
Exact
13
8
Approximate
B В
Given that (1,4) is on the graph f(x), find the corresponding points of a function 1/4f(x)
Answer:
(1,1)
Step-by-step explanation:
In the equation f(x), you are plugging in the x coordinate which in this case is one. That means in 1/4f(x), x will remain the same, because you are still plugging in the same thing. What will change is the y coordinate. 1/4f(x) is saying that the y coordinate will be a fourth of the original y coordinate(4). 4 times 1/4 is equal to one.
If the x coordinate stays the same, and the y coordinate is a fourth of 4, the corresponding points in the function f(x) will be (1,1)
Can you please help and I will mark brainliest if its correct
Step-by-step explanation:
diamonds and hearts are red cards
spades and clubs are black cards
15+11=26
26/52 is the probability of selecting a black card, 50%
The (blank) of a power is the common factor. 1. Exponent 2. Square root 3. Power 4. Scientific notation 5. Marginal frequency 6. Base
Answer:
6. Base
Step-by-step explanation:
In Mathematics, a power involves the multiplication of factors repeatedly. Thus, it's simply a multiplication (product) of repeated factors.
The base of a power is the common factor. When working with a power, the base is the number that is the common factor.
For example;
10⁴ = 10 * 10 * 10 * 10
Therefore, the base in the above expression is 10.
Additionally, the exponent is 4 and it represents the number of times the base "10" was used as a factor.
David is six times older than Janet. If David is 48 years old, how old is Janet?
Answer:
David is six times older than Janet. If David is 48 years old, how old is Janet? Janet is 8 years old.
Step-by-step explanation:
48÷6=8
Evaluate the expression 4 to the power of 3 ÷ (7 − 3) × 2.
Answer:
5.0625 is 1.5 to the fourth power
Answer:
8
Step-by-step explanation:
4 to the power of 3 is 64.
64 ÷ (7 − 3) × 2
64 ÷ (4) × 2
64 ÷ 8
8
Your answer is 8.
I hope this helps, have a nice day.
LAWD please help. I have summer school
Me too. It's the third option. :)
Answer:
I think its the third bubble. Hopefullly this helps. im pretty sure its correct.
Step-by-step explanation:
1st. add rt to both sides so that it cancels out. That should give you xy= s+rt.
2nd. Then divide x from both sides to single out the y. since x is multiplying with y you must use the inverse operation and divide by X. This should leave you with y= (s+rt)÷x
Please answer and explain
Answer: It is a 3% chance
Cost per item: $6.06 item sold: 64321 total profit: $25123.5 sale price:?
Answer:
0.39063241
Step-by-step explanation:
cost per item: 6.06
items sold: 64321
total profit: 25123.5
sale price: ?
x = number of items
64321x - 6.06x = 25123.5
64314.94x = 25123.5
x = 25123.5/64314.94 = 0.39063241
Select the scenarios that correctly represent the given graph.
A.The amount of money in a bank account increases by 50% every year.
B.The number of oranges on a tree doubles every month.
C.The resale value of a house increases by $150 every month.
D.The amount of a substance is one and a half times larger after every minute.
E.The profit of a company increases 150 times every year.
Answer:
i think c
Step-by-step explanation:
What is the correct answer to this? Please help! Thank you so much ☺️
Answer:
second option is correct
Step-by-step explanation:
[tex]\frac{x^0y^-3}{x^2y^-1}[/tex]
=x^0-2 *y-3-(-1)
=x^-2*y^-3+1
=x^-2*y-2
=[tex]\frac{1}{x^2y^2}[/tex]
Where are the corresponding angles in the diagram below?
ANSWERS:
Answer #1: 1 and 5
Answer #2: 1 and 3
Answer #3: 2 and 4
Answer #4: 2 and 7
Answer:
the answer is #1
Step-by-step explanation:
2. During her daily run, Mira looks at her fitness monitor and sees that she has run 9 miles so far. If this distance is 30% of the total distance she plans to run, how many total miles does Mira plan to run?
Answer:
[tex]let \: total \: distance \: be \: x \\ 30\% \: of \: x = 9 \\ \frac{30}{100} \times x = 9 \\ 30x = 900 \\ x = 30 \\ total \: distance = 30 \: miles[/tex]
The total distance Mira plan to run is 30 miles.
What is percentage?Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the symbol ‘%’. For example, 25% is the same as 25/100 or 0.25. Percentages are used to express how large or small one quantity is relative to another quantity.
Given that, Mira has run 9 miles.
Let the total distance be x miles.
Distance is 30% of the total distance she plans to run
Here, 30% of x =9
30/100 ×x=9
30x=900
x=900/30
x=30
Therefore, the total distance Mira plan to run is 30 miles.
To learn more about the percentage visit:
brainly.com/question/24159063.
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3. A drinking straw of length 21 cm is cut into 3 pieces. The length of the first piece is x cm.
The second piece is 3 cm shorter than the first piece. The third piece is twice as long as the
first piece
State, in terms of x, the length of EACH of the pieces.
(2 marks)
(ii)
Write a simplified expression, in terms of x, to represent the sum of the lengths of
the three pieces of drinking straw.
(2 marks)
(iii)
Hence, calculate the lengths for the 3 pieces of straw
(4marks)
Answer:
I'll setup the problem and you can do the calculations
Step-by-step explanation:
Total length of straw - L
Length of piece 1 - x
Length of piece 2 - y
Length of piece 3 - z
What's given and the answer to (i)
y = x - 3
z = 2x
(ii) L = x + y + z = x + x - 3 + 2x
L = 4x-3
(iii) x = (21+3)/4 = 24/4
leaving you to calculate x
then substitute x into expressions for y & z above and you will have the answer
comment if you have questions
helpppppppp pleaseeee
Answer:
dkfjrjdjcjejxjxjwjjxjdjcjxjxjsjbebebdndnd
Answer:
what do you want to ask about i will answer
What is the vertex of y=-X2+2x?
Answer:
(1,1)
Step-by-step explanation:
Graph: y = -x^2 + 2x
Please give real answers with an explaination. 30 points + I will give brainliest. No Docs/No Files/No Links only answer with explaination.
Answer:
I'm not the best at explaining but I'll try my best. The x value to the bottom right is 61 degrees because the two sides are equal. Knowing that, there are 180 degrees in a triangle and 61 degrees plus 61 degrees adds up to 122. So, the value for x at the top is 58 degrees.
Hypothesize why human artifacts on the Moon might need to be protected.
because moon artefacts are prone to damage and need to be protected