Answer:
y=1/2x+1/2
m=1/2
Step-by-step explanation:
You want to find the equation for a line that passes through the two points:
(5,3) and (-3,-1).
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (5,3), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=5 and y1=3.
Also, let's call the second point you gave, (-3,-1), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-3 and y2=-1.
Now, just plug the numbers into the formula for m above, like this:
m=
-1 - 3 over
-3 - 5
or...
m=
-4 over
-8
or...
m=1/2
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
y=1/2x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(5,3). When x of the line is 5, y of the line must be 3.
(-3,-1). When x of the line is -3, y of the line must be -1.
Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=1/2x+b. b is what we want, the 1/2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (5,3) and (-3,-1).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.
You can use either (x,y) point you want..the answer will be the same:
(5,3). y=mx+b or 3=1/2 × 5+b, or solving for b: b=3-(1/2)(5). b=1/2.
(-3,-1). y=mx+b or -1=1/2 × -3+b, or solving for b: b=-1-(1/2)(-3). b=1/2.
See! In both cases we got the same value for b. And this completes our problem.
The equation of the line that passes through the points
(5,3) and (-3,-1)
is
y=1/2x+1/2
Whats The Answer Marking Brainliest, Please explain your answer:D...................
Answer:
10/19
Step-by-step explanation:
the question is asking you for the amount of time that Tia spends playing the computer to the amount of time that she spends playing outside.
she spends 10 minutes playing on the computer
she spends 19 minutes playing outside
therefore it is 10:19 or 10/19 or 10 to 19
13d+8=-1
b=?
need answer
Answer:
d=[tex]\frac{-9}{13}[/tex]
Step-by-step explanation:
Original equation: 13d+8=-1
1. Subtract 8 from both sides of the equation to get:
13d=-9
2. Divide both sides by 13 to get:
d=[tex]\frac{-9}{13}[/tex]
Answer:
-9/13
Step-by-step explanation:
i took the iready quiz
Which set of ordered pairs represents a function? *
O {(1,8), (8, 1), (1,5), (5, 1)}
O {(2,1),(3,1),(4,3), (5,3)}
O {(5,1),(3, 8), (3,7), (7.1);
{(5,1),(5,6), (1,3), (9.7)}
The answer is the second choice.
There cannot be repetitive domains in one set. Therefore, all choices except the second choice have repetitive domains.
Thus, not making them a function but rather a relation instead for other choices. The only relation that is a function here is the second choice.
the second one because the x values should not have repeating numbers
Can someone help me whit this?!?
what is [tex]\frac{7}{200}[/tex] as a decimal
7/200 as a decimal is 0.035
Step-by-step explanation:Simply divide the numerator by the denominator:
= 7/200
= 7 ÷ 200
= 0.035
In the figure below, ∆ABC ~ ∆QRS.
If AB = 50, AC = 60, QS = 6, find QR.
Write a proportion and solve.
QR = ?
QS/AC=6/60=1/10
QR/AB=QR/50=1/10
QR=5
SO THAT TRIANGLE ABC IS EQUAL TO TRIANGLE QRS(2SIDES PROPORTIONAL.INC. ANGLE)
Answer:
QR = 5
Step-by-step explanation:
It's given that ∆ABC ~ ∆QRS. As both of them are similar , the ratio of corresponding sides of both triangles will be proportional to each other.
[tex] \frac{AB}{QR} = \frac{BC}{RS} = \frac{AC}{QS} [/tex]
AB = 50 ; AC = 60 ; QS = 6
From the above proportion ,
[tex] \frac{AB}{QR}= \frac{AC}{QS}[/tex]
Putting all the values ,
[tex] \frac{50}{QR} = \frac{60}{6} [/tex]
[tex] = > \frac{50}{QR} = 10[/tex]
[tex] = > QR = \frac{50}{10} = 5[/tex]
Find the Volume, Of the shape
Answer:
V≈20.94
Step-by-step explanation:
The formula for solving the volume of a cone is V=πr^2(h/3).
Hope this helps and I hope u have an Amazing day!!
42/12 - 85/25 + 117/30
Answer:
the answer is 4 it think it is correct
Answer:
4
Step-by-step explanation:
42/12=7/2
85/25=17/5
117/30=39/10
So
7/2-17/5+39/10
35-34+39/10
40/10
4
If you take a number, times by 5 then subtract 9. You get the same as if you took the number, times by 4 then add 1. What is the number?
Answer: 7
Step-by-step explanation:
Answer:
Let number be x
5x + 9= 4x + 1
5x - 4x = - 9 + 1
x = - 8
b-4/6=b/2 find the variable
please help i dont understand how to work this
Based on the given equation of b -4/6=b/2, the value of the variable b, can be found to be -2
What is the variable?The variable can be found by solving the equation through the operations of mathematics.
First, cross-multiply:
b -4/6 = b/2
b - 4 = 6b / 2
After cross-multiplying, collect like terms:
b - 4 = 3b
b - 3b = 4
-2b = 4
b = 4 / -2
b = -2
In conclusion, the variable is -2.
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p=a+b+c solve for a
please help
Answer:
a=p-b-c
Step-by-step explanation:
p=a+b+c
a=p-b-c
Brennan earns $14.50 each week for walking his neighbor's dog. He earns $18 each week for mowing another neighbor's lawn. How much money will Brennan earn in 5 weeks?
Answer:
$162.50
Step-by-step explanation:
X = (14.50*5) + (18*5)
x = 72.50 + 90
x = 162.50
Janelle types at the rate of Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'. Of a page per minute. Which statement about Janelle is true? A) Janelle can type 8 pages in 1/3 of a minute B) Janelle can type 2 pages in 3/4 of a minute C) Janelle can type 1/2 page in 3/4 of a minute D) Janelle can type 1/4 of a page in 2/3 of a minute
Answer: D) Janelle can type 1/4 of a page in 2/3 of a minute
Step-by-step explanation:
Option A is wrong because based on the constraints, Janine would type less than 3/8 of a page in anything less than a minute. 8 > 3/8.
For that same reason, option B is wrong as well. 2 > 3/8.
1/2 > 3/8 so Option C is wrong for the same reason as the options above.
To test option D;
If Janine can type 3/8 of a page per minute, how much can she type in 2/3 minutes.
Assume the much she can type is x;
3/8 : 1
x : 2/3
1x = 3/8 * 2/3
x = 1/4
Option D is therefore correct.
Which multiplication expression is equal to 1/4÷1/3?
A.1/4×1/3
B.1/4×3/1
C.4/1×1/3
D.4/1×3/1
Answer:
1/4 × 3/1
To divide by a fraction you have to multiply by the inverse of the second fraction.
|
-6y + 4x = 8
Slove for y
Answer:
y = [tex]\frac{2}{3 }[/tex]x - [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
-6y + 4x = 8 Subtract 4x from both sides of the equation
-6y = -4x + 8 Divide everything by -6
y = [tex]\frac{2}{3 }[/tex]x - [tex]\frac{4}{3}[/tex]
Find the area of this parallelogram please help!!
Hanna Was Riding Her Bike For 11/12 Mile long. She Rode For 1/2 Mile And Then Stopped To Rest. She Rode Another 1/3 Mile And Then Had A Flat Tire. How Far Dose Hanna Have To Walk Her Bike To Complete The Loop?
Hanna have to walk her bike for 1/12 mile to complete the loop .
In the question , it is given that
distance Hanna had to ride to complete the loop = 11/12 mile
distance rode by Hanna before rest = 1/2 mile
distance rode by Hanna before flat tire = 1/3 mile
So the distance Hanna has to walk her bike to complete the loop = total distance of the loop - distance rode by Hanna before rest - distance rode by Hanna before flat tire .
On substituting the values from above we get ,
distance Hanna has to walk her bike to complete the loop = 11/12 - 1/2 - 1/3
taking the LCM of 12 , 2 and 3 as 12
we get ,
= 11/12 - 6/12 - 4/12
Simplifying further we get ,
= (11-6-4)/12
= (11-10)/12
= 1/12
Therefore , the distance Hanna have to walk her bike to complete the loop is 1/12 mile .
Learn more about Fractions here
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PLS HELPPPPPPPPPPP Determine the approximate value of X round to the nearest hundredth
Answer:
Step-by-step explanation:
We can immediately elimate two answers since x cannot be larger than the hypotenuse, which is 9. You can cosine = adjaent/hypotenuse, which gives the equation cos(54) = x/9, which simplifies to x = 9*cos(54). When you plug this into a calculator, you should get 5.29. Keep in mind that 54 is measured in degrees and not radians because.
Answer:
D.) x = 5.29
Step-by-step explanation:
first find the last angle measure 180-90-54=36
use law of sines to find x
sin90/9=sin36/x
(sin90)(x) = (sin36)(9)
(sin90)(x) = 5.29
x = 5.29
Help me, but the answer is not E.
Answer:
40%
Step-by-step explanation:
To find the percentage difference between the families with 2 dogs and the families with no dogs, we need to find their difference first.
Difference = 45 - 27
= 18
Now that we know the difference, we just have to put the difference over the total as a fraction and multiply by 100%.
Percentage difference = [tex]\frac{18}{45}[/tex] × 100%
= 40%
Sally has 42 cookies . She wants to eat some and share some with her class. If she hopes to share at least 35 of them with her class, how many cookies can she eat?
Answer:
1.2 please tell me if im wrong
Step-by-step explanation:
Which question represents the equation for this graph? (Pls help I will mark brainliest)
Answer:
y = 2x - 3
i just know this is correct, so trust me :)
A function rule takes an input, and converts it into an output, y, by decreasing twice the input by 4. what is the output for this rule when the input is 5?
Answer:
when the input = 4Then the output = 6Step-by-step explanation:
It is stated that a function rule takes an input, and converts it into an output, y, by decreasing twice the input by 4.
Let 'x' be the number
Decreasing twice the number 'x' by 4 = 2x-4
Now,
Given the input x = 5
As the output will decrease twice the input (x=5) by 4
Thus, the output = 2(5)-4 = 10-4 = 6
Therefore,
when the input = 4Then the output = 6Find the slope of a line that contains the two points (-2,8) and (1,2)
Answer:
[tex]m = -2[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Points: (-2, 8), (1, 2)
[tex]m = \frac{8-2}{-2-1}[/tex]
[tex]m = -2[/tex]
The point A (10,15) was dilated to become point A’ (4,6). What was the scale factor?
========================================================
Explanation:
Preimage = A = (10, 15)
Image = A' = (4, 6)
Divide the x coordinates of the image over preimage
4/10 = 0.4 is the scale factor
Or you could do the same for the y coordinates
6/15 = 0.4
What is the m∠L?
54°
52°
40°
45°
what is the value of 81 3/2 ?
Answer:
82.5
Step-by-step explanation:
3/2 = 1.5
81+1.5=82.5
Shondra is counting the money in the cash register at the end of her shift. All that is left to count are $5 bills and $10 bills. There are 32 bills in the stack and they are worth $220. How many of each denomination did she have?
Let x represent the number of $5 bills and let y represent the number of $10 bills.
Choose the 2 equations that would best represent this scenario and select the correct solution from the drop down list. You will select 3 answers in total.
Answer and Step-by-step explanation: x represent the number of $5 bills and y, the number of $10 bill and, in total there are 32 bills, so
x + y = 32
In terms of value, there is a total of $220. The equation for it is
5x + 10y = 220
The 2 equations which best represent the scenario are
x + y = 32 (I)
5x + 10y = 220 (II)
To know how many bills there are, we have to solve the system. There are many way to solve it and one of them is
1) Multiply (I) by -5:
-5x - 5y = -160 (III)
2) Add equation (III) to equation (II):
-5x - 5y = -160
5x + 10y = 220
0x + 5y = 60 (IV)
3) Solve equation (IV)
5y = 60
y = 12
4) Replace value of y in equation (I) and find value of x:
x + 12 = 32
x = 20
In the proposed scenario, Shondra had 20 $5 bills and 12 $10 bills.
Answer: x=20 and y=12
Step-by-step explanation:
Isaac buys eggs and apples at the store. .He pays a total of $24.26. • He pays a total of $4.36 for the eggs. • He buys 5 bags of apples that each cost the same amount. Write and solve an equation which can be used to determine x, how much each bag of apples costs. Equation: Answer: x = Submit Answer
The equation that represents the cost of each bag of apples is 5x + 4.36 = 24.26 and the cost is $3.98.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Isaac buys eggs and apples at the store. He pays a total of $24.26. He pays a total of $4.36 for the eggs. He buys 5 bags of apples that each cost the same amount.
Let x be the cost of each bag of apples. Then the equation is given as,
5x + 4.36 = 24.26
Simplify the equation, then we have
5x = 24.26 - 4.36
5x = 19.90
x = 19.90 / 5
x = $3.98
The equation that represents the cost of each bag of apples is 5x + 4.36 = 24.26 and the cost is $3.98.
More about the solution of the equation link is given below.
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Janine has $45. She plans to spend $70. Her father gives her $10. How much money does she need to borrow from her sister?
Answer:
i think -15 would be ur answer
Step-by-step explanation:
subtract 70 and 55 and u should get -15 if its right
Put these numbers in order, smallest to largest,
0.77
0.777
0.707
0,077
0.7
Answer:
0.07 0.77 0.77 0.707 0.777
Step-by-step explanation:
I think