A line passes through point (-10, – 4) and has a slope of -3/2
Write an equation in Ax+By=C form for this line.
Use integers for A, B, and C.
Answers
9514 1404 393
Answer:
3x +2y = -38
Step-by-step explanation:
When a point and the slope are given for a line, the point-slope form of the equation is useful.
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -(-4) = -3/2(x -(-10))
y + 4 = -3/2x -15
Multiplying by 2 gives ...
2y +8 = -3x -30
Adding 3x-8, we get ...
3x +2y = -38
Answer:
3x + 2y = -38
Just plug in the x and y values to get the answer!
We already know that when x is -10 y = -4 so all we have to do is substitute them.
y = mx + b
-4 = -3/2(-10) + b
-4 = 30/2 + b
-4 = 15 + b
-19 = b
Related Questions
The length of rectangle A is 7.4 cm and the width is 4.8 cm. The perimeter of rectangle B is 14.9 cm. How much is the perimeter of rectangle A than the perimeter of rectangle B?
Answers
Answer: 9.5 cm
Step-by-step explanation:
First we have to find the perimeter of rectangle A:
Formula for perimeter of a rectangle or square is: [tex]2(a+b)[/tex]
Putting the length and width in: [tex]2(7.4+4.8)[/tex]
Solve it to get: 24.4 cm
Subtract 14.9 from 24.4 to get 9.5 cm
What is the y-intercept for -1,3 1,-2
Answers
Use the graph below to fill in the blank with the correct number:
f(-2) =
(3 points)
5 4 $
.
2
-5 4 3 2 1
2 3 4 5
-2
.
-3
5
Blank 1:
Answers
Answer:
f(-2) = 2
f(-3) = 0
f(1) = -2
f(0) = 1
2. After election results of 378 votes were tallied, the new student-body president won by a margin of 5 to 4. How many votes did she get?
Answers
Answer:
473 or 472, depends on how you round
Step-by-step explanation:
378/4 = 94.5
94.5 x 5 = 472.5
The number of votes she gets will be 473.
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
2. After election results of 378 votes were tallied, the new student-body president won by a margin of 5 to 4.
Then the number of votes she gets that will be
→ 378 x 5 / 4
→ 378 x 1.25
→ 472.5 ≅ 473
More about the multiplication link is given below.
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Write the slope intercept form of the equation of the line through the given point plz
Answers
Answer:
y = 5/2x + 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 5/2
Point (-4, -5)
Step 2: Find y-intercept b
Define: y = 5/2x + bSubstitute in point: -5 = 5/2(-4) + bMultiply: -5 = -10 + bIsolate b: 5 = bRewrite: b = 5Step 3: Write linear equation
y = 5/2x + 5
PLEASE HELP FAST!!!! Which could be the first in solving the equation represented by the model below?
Which one?
A. Add 4 positive unit tiles to each side
B. Remove 4 unit tiles from each side
C. Add 6 positive unit tiles to each side
D. Remove 6 unit tiles from each side
Answers
Answer:
A. add 4 positive unit tiles to each side
Step-by-step explanation:
The reason is because its easier to solve without having to worry about negatives
Which of the following functions represents the graph on
the left? (Hint: Plug in your x values from the previous
slide. Do they produce f(x)=0?)
O f(x) = (x-6)(x+2)
O f(x) = (x+6) (x - 2)
Answers
9514 1404 393
Answer:
f(x) = (x -6)(x +2)
Step-by-step explanation:
The graph shows the x-intercepts are -2 and +6. The factors will be binomials such that these values make the factors zero: (x +2) and (x -6).
f(x) = (x -6)(x +2)
PLS HELP IM FAILING MY MATH CLASS
Answers
Look at the pattern, they all go up by 0.5
For example, 0.5+0.5=1.0, and so fourth
Have a great day!
16r - 8 factored if it can not be factored write prime
Answers
Answer:
Algebra 1 questions and answers - Get algebra 1 help with questions involving ratios, proportions, equations with 2 variables, monomials, polynomials, factoring, inequalities, absolute value, graphing, lines, x-intercept, y-intercept, slope, parabolas, functions, roots, radicals, quadratic equations, the quadratic formula and more.
Step-by-step explanation:
What is the 38th term of 459,450,441,..
Answers
Answer:
The 38th term of 459,450,441,.. will be:
[tex]a_{13}=351[/tex]
Step-by-step explanation:
Given the sequence
[tex]459,450,441,..[/tex]
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
computing the differences of all the adjacent terms
[tex]450-459=-9,\:\quad \:441-450=-9[/tex]
so
[tex]d=-9[/tex]
The first element of the sequence is
[tex]a_1=459[/tex]
so the nth term will be
[tex]a_n=-9\left(n-1\right)+459[/tex]
[tex]a_n=-9n+468[/tex]
Putting n=38 to find the 38th term
[tex]a_n=-9n+468[/tex]
[tex]a_{13}=-9\left(13\right)+468[/tex]
[tex]a_{13}=-117+468[/tex]
[tex]a_{13}=351[/tex]
Therefore, the 38th term of 459,450,441,.. will be:
[tex]a_{13}=351[/tex]
can anyone answer this?
Answers
Answer:
Triangle A is congruent to triangle G
Triangle D is congruent to triangle C
Answer:
Triangle A is congruent to Triangle G
Triangle D is cingruent to Triangle C
Step-by-step explanation:
Check your answers by clicking all of the items
you included in your explanation.
A.A large portion of an organism's mass is in
the form of water.
B.Water contains two hydrogen atoms and one
oxygen atom.
C.The mass of oxygen is sixteen times that of
hydrogen.
Answers
Answer:
A and C
Step-by-step explanation:
Amanda is hiking with her daughter, Mia who is only 1 yaar old and has very short leg. For every 3 steps Amanda makes, Mia takes 5 steps just to keep up.
Need help fast trying to take a test plsss help
Answers
Mia Table values: 5, 10, 25, 50
Problem 3.2
Jordan is mixing water and flour to make tortillas. The
number of cups of water, w, needed for f cups of flour
is described by the equation w=0.75f.
How many cups of water are needed to mix with 4 cups
of flour?
cups of water
Answers
Answer:
1:1
Step-by-step explanation:
w = f, which means the amount of water equals the amount of flour.
The table below represents a linear function f(x) and the equation represents a function g(x):
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
Answers
Answer:
Slope of f(x) is greater than slope of g(x)
g(x) has a greater y intercept
Step-by-step explanation:
Given
f(x) table
[tex]g(x) = 2x + 6[/tex]
Solving (a):
First, we determine the slope of f(x).
From the table, we take any two corresponding values of x and f(x).
Represent f(x) with y
[tex](x_1,y_1) = (-1.-12)[/tex]
[tex](x_2,y_2) = (0.-6)[/tex]
The slope (m) is calculated as thus
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{-6 - (-12)}{0 - (-1)}[/tex]
[tex]m = \frac{-6 +12}{0 +1}[/tex]
[tex]m = \frac{6}{1}[/tex]
[tex]m = 6[/tex]
Represent this with m1
[tex]m_1 = 6[/tex]
Calculating the slope of g(x).
The general form of an equation is [tex]y = mx + b[/tex]
Where m represents the slope.
We have that:
[tex]g(x) = 2x + 6[/tex]
By comparing [tex]g(x) = 2x + 6[/tex] with [tex]y = mx + b[/tex]
[tex]m = 2[/tex]
Represent this with m2
[tex]m_2 = 2[/tex]
Comparing both slope, we can say that:
f(x) has a greater than slope of g(x)
Another comparison is that:
Slope of f(x) is 3 times the slope of g(x)
Solving (b): Function with greater y intercept.
The general form of an equation is [tex]y = mx + b[/tex]
Where b represents the y intercept.
First, we need to determine the equation of f(x) using:
[tex]y - y_1 = m(x - x_1)[/tex]
Recall that, from the table of f(x):
[tex](x_1,y_1) = (-1.-12)[/tex]
[tex](x_2,y_2) = (0.-6)[/tex]
[tex]m_1 = 6[/tex]
So:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - (-12) = 6(x - (-1))[/tex]
[tex]y + 12 = 6(x +1)[/tex]
[tex]y + 12 = 6x +6[/tex]
Solve for y
[tex]y = 6x + 6 - 12[/tex]
[tex]y = 6x - 6[/tex]
By comparing this with [tex]y = mx + b[/tex], the y intercept of f(x) is -6
For g(x), we have:
[tex]g(x) = 2x + 6[/tex]
By comparing this with [tex]y = mx + b[/tex], the y intercept of g(x) is 6
Comparing the y intercepts of both functions, g(x) has a greater y intercept because [tex]6 > -6[/tex]
Graph the line.
y=x-8
please hurry, 15 points
Answers
Answer:
graph your y intercept at negative 8 and then continue to go up one right one
Answer:
go down 8 then go up one over one the rest of the way. go to desmos to answer all your graphing questions.
Step-by-step explanation:
brainliest pls
Qual a altura máxima atingida por um projétil cuja trajetória pode ser descrita pela função: h(x) = –4x² + 5, sabendo que h é a altura do projétil e que x é a distância percorrida por ele, em metros?
A))5
B))6
C))7
D))8
E))9
Answers
Answer:
A altura máxima é 5
Step-by-step explanation:
Matematicamente, a altura máxima pode ser obtida
A altura máxima é simplesmente o vértice da parábola
Começamos diferenciando a função Isso será -8x
Agora, defina -8x como 0
Isso significa que x = 0
Agora, substitua x = 0 de volta na equação temos
f (0) = -4 (0) ^ 2 + 5
f (0) = 5
A altura máxima é 5
Simplify r^6 • r^5 type your answer in the box
Answers
Answer:
r^11
Step-by-step explanation:
can someone help, please !!
Answers
Oy I hate this subject I swear just a few more but still giving out brainliest and points!
Answers
Answer:
C
Step-by-step explanation:
your y values which produce the range differ between 2 and 10 which means that will be your range. All of the values are real.
On the coordinate plane shown, Figure 1 is transformed into Figure 2, which is transformed into Figure3. Figure 1 and Figure 3 are similar by a sequence of transformations. What type of transformation was used to transform Figure 1 into Figure 2?
Answers
Answer:
rotation
Step-by-step explanation:
The transformation used to transform figure 1 into figure 2 is a dilation.
What is dilation?A dilation is a transformation that yields a picture that differs in size while maintaining the original image's shape.
Given that, figure 1 is transformed into figure 2, and figure 2 is transformed into figure 3 which s similar to figure 1.
Since figure 1 is similar to figure 3, as per the transitivity property, figure 1 is similar to figure 2.
Since figure 1 is similar to figure 2, the ratio of their side lengths is proportional.
Since the ratio of the side lengths of the two figures is proportional, the transformation is a dilation.
Hence, the transformation used to transform figure 1 into figure 2 is a dilation.
Learn more about the dilation:
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6.2 x 0.6 worth 25 points have a good day!
Answers
Explanation:
6.2
*0.6
———
372
-000
———
3.72
Determine triangle type
Answers
Answer:
isosceles acute
Step-by-step explanation:
two same sides so it is isosceles and all angles under 90 so acute
Answer:
isosceles acute
Refer to the system of linear equations shown below. Which of the following statements gives the best choice for multiplying to solve this system using the elimination method? 3x−6y=4 6x+11y=−2
I NEED IT URGENtLY
Answers
Answer: I just took the test and the answer is Student should show that the solution to the system of equations 7x - y = 4 and 2x - 3y = 1 is the same as the solution to the given system of equations.
Step-by-step explanation:
The solution for the given system of linear equations is (32/69, -10/23).
The given system of equations are 3x-6y=4 and 6x+11y=-2.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Here,
3x-6y=4 ---------(I) and 6x+11y=-2 ---------(II)
Multiply equation (I) by 2, we get
6x-12y=8 ---------(III)
Subtract equation (III) from (II), we get
6x+11y-(6x-12y)=-2-8
⇒ 23y=-10
⇒ y=-10/23
Substitute y=-10/23 in (I), we get
3x-6(-10/23)=4
⇒ 3x+60/23=4
⇒ 3x=4-60/23
⇒ x=32/69
So, solution is (32/69, -10/23)
Therefore, the solution for the given system of linear equations is (32/69, -10/23).
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
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help with khan academy plzzz!!!
Answers
Answer:
Your slope is 2/3
Step-by-step explanation:
Rise/Run
=2/3
Please help me out!
Answers
Answer:
C is correct ans
Step-by-step explanation:
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answers
Answer:
16=x
Step-by-step explanation:
the two sides are equal, soo i set them equal to each other and add 18 to 16 then divide each side by two and get 16 = x
PLEASE HELP PLEASE I WILL THANK YOU!!
If you want to purchase a 5-inch fish, two 2-inch fish, and
three 3-inch fish, how many gallons of water should the
aquarium hold?
Answers
Answer:
18 gallons of water in the aquarium
what is the average rate of change?
f(x)=x^2+3
From x=0 to x=3
Answers
Answer:
dk
Step-by-step explanation:
d
You work in a restaurant. Your hourly wage is $5.25. One evening you work from 5:30 to 9:30 and make $34.20 altogether. How much do you make in tips that evening?
Your answer
Answers
9514 1404 393
Answer:
$13.20
Step-by-step explanation:
Working h hours and earning t in tips, your earnings (e) are ...
e = 5.25h +t
Solving for t, we get ...
t = e - 5.25h
Filling in the given values, we have ...
t = 34.20 -5.25(4) = 34.20 -21.00 = 13.20
You made $13.20 in tips that evening.