The point (-6, 4) lies on a straight line that has a gradient of -2. What is the
equation of this line?
Given:
Point on straight line = (-6,4)
Gradient = -2
To find:
The equation of the line.
Solution:
Point-slope form: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of the line is
[tex]y-y_1=m(x-x_1)[/tex]
The line passes through the point (-6,4) with slope -2. So, the equation of the line is:
[tex]y-4=-2(x-(-6))[/tex]
[tex]y-4=-2(x+6)[/tex]
[tex]y-4=-2x-12[/tex]
Adding 4 on both sides, we get
[tex]y-4+4=-2x-12+4[/tex]
[tex]y=-2x-8[/tex]
Therefore, the equation of the line is [tex]y=-2x-8[/tex].
Can some one help me please?
Answer:
3x^3-2x^2-4x+2( option A) remainder= 7
Step-by-step explanation:
PLS HELP WILL GIVE BRAINLIEST
Answer:
3.52BAStep-by-step explanation:
Middle School:
Find the median by arranging the data points from smallest to largest.
1, 1, 1, 3, 4, 4, 5, 6 (Take the average of the two points in the middle, 3 and 4)
7/2 = 3.5
High School:
1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4 (Take the average of the two points in the middle, 2 and 2)
4/2 = 2
Most of the points in the middle school plot are four or less.
A (High school students had more variation.)
Ajar contains $36.25 in dimes (10 cents) and quarters (25 cents). There are 250
coins in the jar. How many quarters are there in the jar?
Answer:
Step-by-step explanation:
The jar contains 2 types of coins dimes and quarters
the total amount is equal to 36.25 dollars
the total number of coins is 250
let number of dimes be x and quarters be y
let us put the equation
0.10x + 0.25y = 36.25
for our convinience convert all money to cents i.e. = 3625 cents
now the equations are
10x + 25y = 3625
x + y = 250
we need to solve for y i.e. number of quaters
y = 250 - x
rewrite the equation substituting y in x place
10(250 - y) +25 y = 3625
2500 - 10y +25y = 3625
15y = 1125
y = 75
so the number of quarters = 75
cross checking :
number of dimes = 250 - 75 = 175
total = 10x175 + 25x75 = 1750 + 1875 = 3625 = $36.25
If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?
Oy- (11
y (11)
(18)(5)
oy-
5
11
2 y = (1865
Answer:
y = 18/5(11)
Step-by-step explanation:
If y varies directly as x, this is expressed as;
y∝x
y = kx
k is the constant of proportional constant
if y = 18 and x = 5
18 = 5k
k = 18/5
to get the expression that can be used to find the value of y when x is 11
y = kx
y = 18/5(11)
This gives the required expression
If ∆ABC ∼ ∆PQR such that AB = 1.8cm and PQ = 1.6 cm, what is the ratio of the areas of ∆ABC and ∆PQR.
Answer:
81 / 64
Step-by-step explanation:
The ratio of the areas can be obtained thus :
Area of ∆ABC / Area of ∆PQR
Area of ∆ABC / Area of ∆PQR = AB² / PQ²
AB = 1.8 ; PQ = 1.6
AB² / PQ² = 1.8² / 1.6²
= 18² / 16²
= 324 / 256
= 81 / 64
A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t, where t equals the time in seconds and h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent?
t = 3; It takes the ball 3 seconds to reach the maximum height and 3 seconds to fall back to the ground.
t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.
t = 1.5; It takes the ball 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.
t = 1.5; It takes the ball 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.
Answer:
The function is a parabola of the form . The the formula for the axis of symmetry of a parabola is. So it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.
Answer:
D. it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.
What is 48901x120412/12321 with a fraction of 6/9 + 29181041/21841x2912311203? It was one of my math questions couldn't find it online soooo??
4468886443222234578889953
Quadrilateral abcd is rotated 90 degrees clockwise about the origin. What are the coordinates of A'B'C'D?
Answer:
your answer is A
Step-by-step explanation:
have a nice day!! ^_^
The coordinate of A` is (5,5) , the coordinate of B` is (5,1), the coordinate of C` is (2,1) and the coordinate D` is (1,5).
What is the coordinate of a point?A pair of number that describes the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinate of a point. Coordinates are usually denoted by (x, y).
From the figure we can see that A` is 5 unites right of vertical line and 5 unit upward the horizontal line. So, the coordinate of A` is (5,5).
Similarly, B` is 5 unit right of vertical line and 1 unit upward the horizontal line. So, the coordinate of B` is (5,1).
C` is 2 unit right of vertical line and 1 unit upward the horizontal line. So, the coordinate of C` is (2,1).
And, D` is 1 unit right of vertical line and 5 unit upward of horizontal line. So, the coordinate of D` is (1,5).
Hence the coordinates of A`B`C`D` is (5,5), (5,1), (2,1) and (1,5) respectively.
To learn more about coordinates click here:
https://brainly.com/question/21999208
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help me i am not good at math
calculate the surface area of the cylinder.
A. 351.9 cm²
B. 500 cm³
C. 140.4 cm²
D 301.7 cm²
Kurt recorded the amount of rainfall in each month for one
year. What was the total rainfall that year?
Answer:
Step-by-step explanation:
G
Jacob did the following calculations, please explain the error if any. (2-3i)2 = (2-3i)(2-3i) = 4-6i-6i+9i2 = 9i2-12i+4
Some help me it’s timed
Answer:
43 m. Perimeter is all the sides added together.
Describe where the line of reflection is in this picture.
Answer:
the line is in the grass because it divides and reflects the sky and mountain.
Answer:
The line of reflection in the picture above is on the x-axis.
Step-by-step explanation:
The line of reflection is the mirror line; the line across which a figure is "flipped" and in this case, the line of reflection is on the x-axis.
What is a benefit of writing 4 • 4 • 4 •. 4 • 4 using exponents
Answer:
you can shorten it by putting 4 to the power of 5. (put a little 5 atop the 4.)
Step-by-step explanation:
like this
Write all the factors of S 35. Use commas to senarate them 。
Answer:
All of the positive integers that can divide evenly into 35 (they are the factors) are:
1, 5, 7, 35
All others, like 2, 3, 13, ... create a remainder that is not 0.
Now, you may (or soon will be) learning about the prime factors of 35 (not 1, and only divisible by itself and 1). They are:
5, 7
Step-by-step explanation:
the area of a circle is 49sm what is the radius
PLEASE HELP ME WITH THIS QUESTION!
Answer:
C
Step-by-step explanation:
just fill in the x
ex. y=0.5x+14
y=0.5(5)+14
y=2.5+14
y=16.5
How many solutions does the nonlinear system of equations graphed below have?
A. Zero
B. Two
C. Four
D. One
Answer:
B. two
Step-by-step explanation:
The solution of the given graph will be one hence option (D) will be correct.
What is a graph?A graph, which is a diagrammatic depiction of a network, describes the connection between lines and points. A graph consists of various points and the separation between two of them.
It doesn't matter how much time the lines are or where the points are located. A node is a name for each constituent in a graph.
For example to draw the equation y = 6x +9 this will draw a straight line in the coordinate geometry.
The solution of any equation is a point of intersection of a graph as we can see that the graph which is present in the question has only one intersection so there will be only one answer.
For more details about the graph
brainly.com/question/16608196
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Help plzzzzz
Fill in the table for the function
y=-2x + 10
Answer:
16, 10, 0
You plug in the x into the function
is this a function?
Answer:
yes
Step-by-step explanation:
A book store is having a 30% off sale, Diary of a Wimpy Kid books are now $6.30 each. What was the original price of the books?
Answer:
The original price of the books were $9.
Step-by-step explanation:
%100 - %30 = %70
%70 = 0.7
$6.30 ÷ 0.7 = $9
The circumference of a steering wheel is 19.8in. What is the radius
A. 3.2
B. 1.3
Please!!!! Help!!!! this a important test
I will mark you brainliest
If i get the correct answer Please!!!!
Answer:
A. 3.2
Step-by-step explanation:
Given
Circumference (c) = 19.8 in
Radius (r) = ?
We know
2πr = c
2 * 3.14 * r = 19.8
6.28 r = 19.8
r = 19.8 / 6.28
r = 3.2 in
Hope it helps :)❤
Sam and Jennifer are saving money for college. Sam has saved $2000 and will save $60 more each week. Jennifer has saved $2500 and will save $55 more each week.
Answer: what the question
Step-by-step explanation:
Gavin, Harry and Isabel each earn the same monthly salary.
Each month,
Gavin saves 28% of his salary and spends the rest of his salary
3
Harry spends
of his salary and saves the rest of his salary
4
the amount of salary Isabel saves: the amount of salary she spends = 3:-
Work out who saves the most of their salary each month.
You must show how you get your answer.
Answer:
isabel saves the most of their salary each month
Step-by-step explanation:
Let us assume the Salary of Gavin, Harry & Isabel be $100
Since
Gavin saves 28%
So his saving amount is Gavin
= 28% of $100
= $28
As harry spends 3 ÷ 4 of his salary
So Harry Spenings is
= (3 ÷ 4) of $100
= $75
Now
Harry Saving is
= $100 - $75
= $25
Also the ratio between isabel saves, and spend is 3:7
3k + 7k = 10k = 100S
k = $10
Now
the amount of salary isabel saves
= 3k
= 3 × $10
= $30
Now
$30 > $28 > $25
i.e.
isabel Saving > Gavin Savings > Harry Savings
Hence, isabel saves the most of their salary each month
a)
Estimate the probability that on the next roll the score will be 4.
b)
If the dice is rolled 400 times, about how many 2s would you expect to get?
Answer:
a) 1/10
b) 110
Step-by-step explanation:
A) we start by getting the total number of rolls
That would be;
11 + 22 + 7 + 8 + 13 + 19 = 80
The frequency of getting a 4 is 8
The probability that the next roll will be a 4 is;
8/80 = 1/10
b) Firstly, we get the probability of getting a 2
We have this as:
22/80
So for 400 rolls, the number of 2’s will be;
22/80 * 400
= 22 * 5 = 110
plz help, i would really appriciate it :)
Answer: [tex]x^{2} +12x+20[/tex]
Step-by-step explanation:
h(x)= (x+10)(x+2)
^ It is this way because it is so the x value will equal -10 and -2.
Now, we just distribute it. if the question does not have any points it passes through described in the problem, then it is pretty self explanatory.
x^2 + 2x+ 10x+ 20
= [tex]x^{2} +12x+20[/tex]
Answer:
f(x) = A(x - 2)(x - 10),
where A is real and A= 20.
Step-by-step explanation:
if I'm wrong I am so very sorry
30000 at 8% per year for 10 months equals to
Answer:
2000
Step-by-step explanation:
S.I=P×rate / 100×time
30000×8 / 100×5/6
=2000
The spinner shown is divided into equal sections that each contain one number, so that the probability of spinning each number on the spinner is the same. However, there are two red sections, and therefore there are a total of two numbers (1 and 3) that appear in red sections, while each other color appears in only one section.
A spinner with 6 equal-sized sections labeled 1 through 6. Sections 1 and 3 are red. Section 2 is blue. Section 4 is orange. Section 5 is purple. Section 6 is green.
© 2017 FlipSwitch. Created using GeoGebra.
What is the value of P(x:x is a red section)?
Enter your answer as a fraction in simplest terms, using the / symbol. For example, if your answer is 4284, which reduces to 12, enter it like this: 1/2
Answer:
the answer is 2/6 im not sure but i hope its help