Use the point-slope formula to write an equation of the line that passes through 4, 5 and −6, −4 . Write the answer in slope-intercept form (if possible).
The equation of the line is _________ .
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Answer:
y-5=9/10⋅(x−4)
Step-by-step explanation:
Related Questions
someone pls help will give brainliest to the first to answer
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Answer:
Help with what, I may be able to help. :)
Write the equation
for this line in
slope-intercept form.
y = ?/?x+ ?
Answers
Answer:
y = 2/3x - 1 (or y = 2/3x + -1 to fit the graphic)
Step-by-step explanation:
Slope intercept form is written as (y = mx + b) where m is slope and b is the y intercept.
First you need to find the slope, m. We'll use the two points (-3, -3) and (3, 1)
m = (y2 - y1) / (x2 - x1)
m = (1 - (-3)) / (3 - (-3))
m = 4/6
m = 2/3
Next we need the y intercept, b. On the graph we can see that is -1 but we can also find it substituting the known slope and one point on the line for our values to solve for b. We'll use (3, 1) as the point.
y = mx + b
1 = 2/3 * 3 + b
simplify 2/3 * 3
1 = 2 + b
subtract 2 from both sides
-1 = b
Now we have all the values we need to plug into our slope intercept equation (m = 2/3, b = -1)
y = mx + b
y = 2/3x - 1
[tex]\sf{y=\displaystyle\frac{2}{3} x-1[/tex]
Solution:We are given two points: (3, 1) and (-3, -3).We can use these points to find the slope of the line:m=[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex][tex]\displaystyle\frac{-3-1}{-3-3} =\frac{-4}{-6} =\frac{2}{3} \longleftarrow\sf{slope}[/tex]Now, we need to identify the line's y-intercept.The y-intercept is the point where the graph touches the y-axis.Since the graph touches the y-axis at (0, -1) the y-intercept is equivalent to (0, -1) or -1.Hope it helps.
Do comment if you have any query.
could i have some super quick help? :((
optionally would appreciate some help with what i posted here as well
https://brainly.com/question/27457645
Answers
Answer:
a) y = (x - 3)²
b) y = x² - 4
c) y = (x + 2)²
d) y = x² + 5
e) y = (x + 6)² - 7
f) y = (x - 2)² + 5
Step-by-step explanation:
Parent equation: y = x²
Transformed equation: y = (x - h)² + k
h translates the parabola horizontally
If h > 0 then the translation is h units to the right.
If h < 0 then the translation is h units to the left.
If h = 0 then there is no horizontal translation.
k translates the parabola vertically
If k > 0 then the translation is k units up.
If k < 0 then the translation is k units down.
If k = 0 then there is no vertical translation.
a) The parabola moves 3 units to the right:
⇒ y = (x - 3)² + 0
⇒ y = (x - 3)²
b) The parabola moves 4 units down:
⇒ y = (x - 0)² - 4
⇒ y = x² - 4
c) The parabola moves 2 units left:
⇒ y = (x + 2)² + 0
⇒ y = (x + 2)²
d) The parabola moves 5 units up:
⇒ y = (x - 0)² + 5
⇒ y = x² + 5
e) The parabola moves 7 units down and 6 units left:
⇒ y = (x + 6)² - 7
f) The parabola moves 2 units right and 5 units up:
⇒ y = (x - 2)² + 5
#a
3 units right in x axisEquation
y=(x-3)²+0#b
4 units down in y axis
y=(x-0)²-4#c
2 units left in x axis
y=(x+2)²+0#d
5 units up in. y axis
y=x²+5#e
7units down in y axis and 6 units left in x axis
y=(x+6)²-74. What is the difference between 34.062 And 2.87
M. 31.192
P. 31.292
R. 32.192
S. 33.775
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Can I have help in the next few minutes?
there are 3 blanks i need the info for
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Answer:
a) (2x + 1)(3x - 4)
b) 546
Step-by-step explanation:
a)
We need to try to factor the polynomial.
6(-4) = -24
6x² - 8x + 3x - 4 = 2x(3x - 4) + 1(3x - 4) =
= (2x + 1)(3x - 4)
b)
6(10)² - 5(10) - 4 = 600 - 50 - 4 = 546
Answer:
(a) when x = 2: width = 2 units and length = 5 units
(b) 546 units²
Step-by-step explanation:
Given expression:
[tex]6x^2-5x-4[/tex]
Part (a)
To factor a quadratic in the form [tex]ax^2+bx+c[/tex]
Find 2 two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]
Two numbers that multiply to -24 and sum to -5: -8 and 3
Rewrite [tex]b[/tex] as the sum of these 2 numbers:
[tex]\implies 6x^2+3x-8x-4[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies 3x(2x+1)-4(2x+1)[/tex]
Factor out the common term [tex](2x+1)[/tex]:
[tex]\implies (3x-4)(2x+1)[/tex]
Therefore:
[tex]\implies x=\dfrac{4}{3}, \: x=-\dfrac{1}{2}[/tex]
As distance is positive, [tex]x > \dfrac{4}{3}[/tex]
Let [tex]x=2[/tex]
[tex]\implies (3(2)-4)(2(2)+1)[/tex]
[tex]\implies (2)(5)[/tex]
Therefore, possible dimensions of the rectangle are:
width = 2 units
length = 5 units
Part (b)
Substitute [tex]x=10[/tex] into the equation:
[tex]\begin{aligned}\implies 6(10)^2-5(10)-4&=600-50-4\\&=546\end{aligned}[/tex]
What is the interquartile range of this data 0, 5, 10, 15, 20,
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Answer:
15
Step-by-step explanation:
The range from Q1 to Q3 is the interquartile range (IQR).
The interquartile range is the difference between the third and first quartiles.
The third quartile is 17.5.
The first quartile is 2.5.
The interquartile range = 17.5 - 2.5 = 15.
Question 1: What are the solutions to the following graph, and what is the equation of the axis of symmetry?
Question 3: What are the coordinates of the vertex of the graph, and is it a minimum or a maximum?
Question 4: Can a parabola have both a minimum and a maximum point? Explain.
Question 5: Look at the following quadratic function. What is the domain of this function?
A) -∞
B) -5
C) -2
D) -∞
Question 6: Look at the following quadratic function. What is the range of this function?
A) -2
B) -5<=y<∞
C) -∞
D) -∞
Answers
Q1: Solutions: x = 2 and x = 4, Axis of symmetry: x = 3.
Q3: (x, y) = (-3, 5).
Q4: A parabola cannot have both a minimum and maximum point because it is only bounded by its vertex.
Q5: [tex]x \in \mathbb{R}[/tex]
Q6: [tex]y \in [-5, + \infty)[/tex]
How to analyze second order polynomials graphically
Graphically speaking, second order polynomials are represented by parabolas. In this question we must interpret the graphs to find all the required information.
Question 1The solutions to the graph are those values of x such that the graph goes through the x-axis and the axis of symmetry is a line that goes through the vertex ot the parabola and is perpendicular to the width of the curve.
Thus, the solutions to the graph are x = 2 and x = 4 and the axis of symmetry is x = 3. [tex]\blacksquare[/tex]
Question 3The vertex is the extreme point of a parabola, which may be a minimum or a maximum, but never both. The vertex of the parabola is located at (x, y) = (-3, 5). [tex]\blacksquare[/tex]
Question 4A parabola cannot have both a minimum and maximum point because it is only bounded by its vertex. [tex]\blacksquare[/tex]
Question 5The domain of the function is defined by the set of x-values such that the function exists. Thus, the domain of the quadratic function is [tex]x \in \mathbb{R}[/tex]. [tex]\blacksquare[/tex]
Question 6The range of the function is defined by the set of y-values such that the function exists. Thus, the range of the quadratic function is [tex]y \in [-5, + \infty)[/tex]. [tex]\blacksquare[/tex]
To learn more on parabolas, we kindly invite to check this verified question: https://brainly.com/question/4074088
can someone please help me with this math problem please
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What are two ways the debt-to-gdp ratio can increase?
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Answer:
GDP decreases and Debt increases
Step-by-step explanation:
What is the area of a triangle that has a
base of 15 1/4 in. and a height of 18 in.?
PLS I NEED HELP ASAP
Thank youuuuuu
Answers
To find the area of the triangle
⇒ must know the area of the triangle's formula
⇒ [tex]\frac{1}{2} *base*height[/tex]
Let's look at the information given:
base length ⇒ [tex]15\frac{1}{4}[/tex] in ⇒ [tex]\frac{61}{4}[/tex] (when converted into an improper fraction)height length ⇒ 18 inLet's solve:
[tex]Area=\frac{1}{2} *base*height=\frac{1}{2} *\frac{61}{4} *18 = 137.55in^2[/tex]
Thus the area is 137.55 square inches
Hope that helps!
Students were surveyed about their preference between dogs and cats. The following two-way table displays
data for the sample of students who responded to the survey.
Approximately what percent of students in the sample prefer cats?
Round your answer to the nearest percent.
48
Preference
Male
Female
TOTAL
Prefers dogs
36
20
56
Prefers cats
10
26
36
No preference
2
6
8.
TOTAL
48
52
100
Not quite!
Try again. Get help or skip for now
Show Calculator
Answers
explained 36/100= 36%
In a school, there are 6 floors and on each floor there are 8 classrooms. In each classrooms there are 40 students. How many total students are there in a school?
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every 3 out of 12 vehicles on a highway is a truck. How many trucks are expected to be on the highway with 3600 vehicles
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Answer:
900 trucks on a highway with 3600 vehicles
Step-by-step explanation:
3 out of 12 is also 1/4 (one quarter)
so 3600 ÷ 4 = 900 trucks on a highway with 3600 vehicles
hope this helps :))
0.85 divided by 0.0527
Answers
Answer:
the answer is 0.062
Step-by-step explanation:
i hope this helps pls make as brainliest
Which statement best describes why the author of "Water Efficiency Strategies" organized the text into two main sections? Question 2 options: To show readers that thinking about the supply side is more important than the demand side. To show readers that thinking about both the supply side and the demand side are important for water efficiency. To follow the structure most informational texts use when organized into two main sections to show two sides of a topic. To use one section to describe the cause and the second section to describe the effect.
Answers
Answer:
the real awnser is b
Step-by-step explanation:
The statement that best describes why author of "Water Efficiency Strategies" organized the text into two main sections is to show readers that thinking about both the supply side and the demand side are important for water efficiency.
Efficient use of water is necessary so as to prevent the wastage of water. Although 3/4th of the earth is covered with water, the sustainable use of water is necessary so as to preserve the pure water for the future generations. The statement that best describes why the author of "Water Efficiency Strategies" organized the text into two main sections is to show readers that thinking about both the supply side and the demand side are important for water efficiency.
Therefore, the statement that best describes why author of "Water Efficiency Strategies" organized the text into two main sections is to show readers that thinking about both the supply side and the demand side are important for water efficiency.
To solve more questions on Water Efficiency Strategies, visit the link-
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Please help me with this too , it would mean alot
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Step-by-step explanation:
IF THE TEMPERATURE WAS -5° AT 5:00 am., WHAT WAS THE TEMPERATURE AT 9:00 am?
What is the value of x in the inequality 2-5x over -3 + 4<-x
Answers
Answer:
x = 0.5
Step-by-step explanation:
2-5x/-3+4 < -x is simplified to 2-5x/1<-x because -3+4 is 1.
1. Marlene is going on a camping trip with a group of friends. She brings 3 boxes of granola bars,
plus 3 extra bars. Robyn bring 2 boxes of granola bars and Wendy brings one box. They have a
total of 57 granola bars. If each box contains the same number of bars, how many bars are in
each box?
Answers
Answer:
13.5
Step-by-step explanation:
total boxes of granola is = 3 + 2 + 1
= 6 boxes
6 boxes = 57 bars
1 box = 57 / 6
1 box = 9.5 + 3
= 13.5 (ANS)
i hope my ans is correct if not i apologise.
Marlene brought 3 boxes AND 3 extra bars so you would have to subtract those from the total before dividing.
57-3=54
54/6=9
PLEASE HELP ITS DUE IN 10 MINUTES!!!!!
Answers
Answer:
76 Square Feet
Step-by-step explanation:
First, add all the numbers you see up. Your final answer of square feet will be the total you added up as a whole.
24+14+4+6+5+3+15+5= 76
Answer:
IM NOT. NNOT SURE BUT I THINK... the area may be 177? if i did it right, please check my equations though!
Step-by-step explanation:
so we first have to find the area of alllll the rectangles/squares in that weird squiggly shape
lets do the top
the width is 15 ft and the length is 5ft
so to find the area you have to do length times with so
A = lw
A = 15(5)
A = 75
so the first shape is 75
now lets do something real quick (im sorry this is all messed up infromation i have a dba (call) in like 16 mins and i gotta hurry. but illl come back if you need more explinations)
let first shape be f
let second shape be s
let third shape be t
let R be the area of the total shape
f + t + s = R
75 + t + s = R
now to find t
so the width would be 9ft and the length would be 8ft
A = lw
A = 9(8)
A = 72
75 + 72 + s = R
now to find s
the width is 5fth and the length is 6ft
A = lw
A = 6(5)
A = 30
now i think we add?
75 + 72 + 30 = R
75 + 102 = R
177 = R
i think the area is 177? (if i remeber how to do this correctly)
btw I will come back later and upload a pic of how i did it if you like. i must go now cause my teacher is gonna ask me civics questions and im so bad at that subject!!!!
Find the domain of the rational function.
f(x)=x−7/x+8
Enter your answer in interval notation.
Answers
The domain of the function in interval form is (-∞, -8) U (-8, ∞)
How to find the domain of a function?
The domain of a function is the point where the real value of the function exists.
Given the funciton
f(x) = x - 7/x+8
The function will exist on all real values except the point where the denominator is zero.
x + 8 = 0
x = -8
The domain of the function in interval form is (-∞, -8) U (-8, ∞)
Learn more on domain here: https://brainly.com/question/25959059
Jane has a pre-paid cell phone with NextFell. She can't remember the exact costs, but her plan has a monthly fee and a charge for each minute of calling time. In June she used 450 minutes and the cost was $139.50. In July she used 870 minutes and the cost was $244.50. A) Express the monthly cost C as a function of x , the number of minutes of calling time she used.
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Minutes=450
X=450:139.50$
In June C=$244.50
Minutes=870
X=minute:C
Create 2 data sets with 5 numbers that have the same mean but different medians.
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Step-by-step explanation:
mean = sum of all data points / number of data points
median = the number, where half of the other numbers is larger, and the other half is smaller.
4 4 5 6 6
2 2 3 9 9
both mean values are 5.
the median of the 1st is 5, if the second is 3.
Add 2/9+4/9 Simplify your answer.
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Answer:
2/3
Step-by-step explanation:
2/9+4/9=6/9
6/3=2 9/3=2
6/9=2/3
Jaws purchases 15 packages of baseball cards each package contains six cards how many total cards are in the six packages
Answers
Answer:
90
Step-by-step explanation:
There are 15 packa of 6 cards in each pack. You could either do it the long way and count it out on paper or just times 15x6 and it equals 90.
Giving brainliest to who will help!
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Answer:
A C F G H J ARE THE FIGURES WHERE AB IS AN ALTITUDE
Given 2 points, fill in the slope formula
and calculate the slope of the equation.
(4, 6); (7, 12)
Answers
Answer:
Slope formula:
RISE: y2(second y-coordinate) - y1(first y-coordinate)
____________________________________
RUN: x2(second x-coordinate) - x1(first x-coordinate)
y2 - y1 / x2 - x1
Plug in what we have in the order given in the formula:-
12 - 6 6
______ = ______, which simplifies to 2.
7 - 4 3
Therefore, 2 is the slope of this equation.
Answer:
Slope: 2
Step-by-step explanation:
Given points:
(4, 6)(7, 12)Slope formula: (y₂ - y₁)/(x₂ - x₁)
1. Substitue the coordinates of the points in the formula, which will determine the slope of the two points:
[Formula] Slope = (y₂ - y₁)/(x₂ - x₁)[Substitute] Slope = (12 - 6)/(7 - 4)2. Simplify the fraction. The quotient will be the slope of the line.
[Simplify] Slope = (6)/(3) = 2Thus, the slope of the line is 2.
how do you find the volume for a dome, pyramid, and a cylinder.
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to find the volume of a cylinder you would do pi x radius^2 x height
i’m sorry but i’m not too sure about the dome but i know them two!
Find the perimeter of the figure.
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PLEASE HELP‼️ WILL MARK BRAINLIST‼️‼️
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Area of square - 4 x 4 = 16
Then, find the area of trapezium.
Area of trapezium - 1/2 x (base1 +base2) x height
Area of trapezium - 1/2 x (4+8) x 2
Area of trapezium - 12
Finally add both area of square and area of trapezium.
Total area= 12+16=28 cm^2
Answer:
A = 28 cm²
Step-by-step explanation:
area of square = 4 × 4 = 16 cm²
area of trapezium = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the height and b₁ , b₂ the parallel bases
here h = 2 , b₁ = 8 , b₂ = 4
area of trapezium = [tex]\frac{1}{2}[/tex] × 2 × (8 + 4) = 1 × 12 = 12 cm²
area of the logo (A) = 16 + 12 = 28 cm²
Choose the x- and y- intercepts for the graph of –3x + 6y = –30.
Answers
Answer:
Some vocabulary we should know:
mx = slope while b is the y-intercept.
-3x = x
6y = y
BRAINLIEST is APPRECIATED. This is based on speculation! Good luck in your future studies.
- daintysword