Answers
============================================================
Explanation:
We'll need to find the slope of the line through the two given points.
[tex](x_1,y_1) = (-3,17) \text{ and } (x_2,y_2) = (2,-3)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{-3 - 17}{2 - (-3)}\\\\m = \frac{-3 - 17}{2 + 3}\\\\m = \frac{-20}{5}\\\\m = -4\\\\[/tex]
The slope is -4.
Think of -4 as -4/1. The reciprocal is -1/4, and it flips in sign to +1/4 or simply 1/4.
The original slope -4 leads to the perpendicular slope 1/4. The two slopes multiply to -1. This is true of any perpendicular lines where neither is vertical nor horizontal.
------------------------
In short, the answer equation will involve a slope of 1/4. This points us directly to choices A and E as two answers so far.
Something like choice B is not an answer since it has slope 4. Choice C is ruled out because 4x+y = -8 solves to y = -4x-8. It has a slope of -4.
Choice D on the other hand has x-4y = 2 solve to y = (1/4)x - 1/2, and this has a slope of 1/4 that we want. This means choice D is another answer.
Choice F and choice G are ruled out because they involve slopes of 4 and -4 respectively.
------------------------
Summary: The 3 answers are choices A, D and E
Step-by-step explanation:
the slope of a line is the ratio
y coordinate change / x coordinate change
when going from one point on the line to another.
so for (-3, 17) and (2, -3) we get
x changes by +5 (from -3 to 2).
y changes by -20 (from 17 to -3).
the slope is
-20/+5 = -4/1 = -4
now, a perpendicular slope (90° to the original slope) is putting the slope fraction upside-down and flips the sign :
+1/4 or simply 1/4.
the slope in an equation of the form "y = ..." is always the factor of x.
y + 2 = (1/4)(x - 1)
yes, there are only some constant additions or subtractions to get to a or "y = ..." form, so 1/4 is indeed the factor of x and the slope of this line.
y = 4x + 12
4 <> 1/4, so, no, it is not.
4x + y = -8
y = -4x - 8
-4 <> 1/4, so, no, it is not.
x - 4y = 2
-4y = -x + 2
y = (1/4)x - 2/4
1/4 is indeed 1/4, so, yes, it is.
y = (1/4)x - 15
1/4 is indeed 1/4, so, yes, it is.
y + 3 = 4(x - 2)
similar to the first one, but 4 <> 1/4, so, no, it is not.
y = -4x + 3
-4 <> 1/4, so, no, it is not.
Related Questions
I REALLY NEED HELP!!!! ASAP!!! WORTH 50 POINTS!!!!!!
Answers
Find the value of x that will make A||B
Answers
Answer:
the value of x that will make A||B is 4
what's the area? i need it by 7:00 AM EST time
Answers
Answer:
approx 506.52
Step-by-step explanation:
Rectangle: 21 x 12 =252
Half circle = 1/2 (3.14)(6^2) = 56.52
Trapezoid: 6 (33 +33) = 198
add all of them together
Answer:
479.52 cm²Step-by-step explanation:
Semi-circle:
A = 1/2πr² = 1/2*3.14*6² = 56.52 cm²Trapezoid:
A = 1/2(a + b)h = 1/2 [(12 + 12) + (12 + 21)] (6) = 171 cm²Rectangle:
A = ab = 12*21 = 252 cm²Area of the shape:
56.52 + 171 + 252 = 479.52 cm²help pls no li is I'll give you briliantest pls help pls pls pls pls pls pls pls pls pls pls
Answers
Answer:
40.5
I hope u get a good mark glll
Step-by-step explanation:
What is the domain of the function y equals the square root of x plus 4
Answers
Answer:
The domain is the set of numbers that the x value can be.
In an equation like the domain is all real numbers because x can be any number.
In the case of , any x value that is less than or equal to -4 will not work because you would be taking the square root of a negative number, which doesn't work unless you're graphing on a complex plane, which I assume you aren't.
Thus, the domain is
I hope that helps!
Step-by-step explanation:
Does anyone know the answer to this one ?
A: (-0.25,0),(4.25,0)
B: (1,4),(4,-1)
C: (0,-5), (5,0)
D: (0,-1), (2,-5)
Answers
Answer:
(1, -4), (4, -1)
Step-by-step explanation:
A solution to a system of equations is when the two lines intersect. In this case, we have two intersections, which means two solutions.
From left to right, we first see an intersection at (1, -4).
Continuing to the right, we see another intersection at (4, -1)
These are our two solutions.
(1, -4), (4, -1)
Hope this helps!
Find all the zeroes of the equation.
x4-6x2-7x-6 = 0
Answers
Zeros of the given equation are {-2, 3, (-1±i√3)/2}
Solution:-As the last term is -6 then, ± 2 , ±3 are possible zeroes.
Try 2:-
[tex]2^4-6*(2)^2-7*2-6=-28[/tex] so 2 is not a zero.
Try 3:-
[tex]3^4-6*(3)^2-7*3-6=0[/tex] so 3 is a zero.
[tex](-2)^4-6*(-2)^2-7*(-2)-6=0[/tex] so -2 is also a zero.
Divide the function by (x +2)(x - 3), that is [tex]x^2 - x - 6[/tex]
gives [tex]x^2 + x + 1[/tex]
[tex]x^2 + x + 1[/tex]
So we have [tex]x^2 + x + 1 = 0[/tex]
[tex]x = [-1 +\sqrt{1^1 - 4*1*1}] / 2[/tex]
= -1 + √(-3) / 2 , - 1 - √(-3) / 2.
= -0.5 + 0.866i, -0.5 - 0.866i
What are math roots?In mathematics, the number that results in the original number when multiplied by itself is called the root.
To know more about function visit:-
brainly.com/question/12431044
#SPJ1
Write an equation and solve for x using the diagram
below. Also give the angle measure. YOU MUST
WRITE THE EQUATION IN ORDER TO GET
Answers
Answer:
x = 45
Step-by-step explanation:
2x + 6 and 96 are vertically opposite angles and are congruent , then equation is
2x + 6 = 96 ( subtract 6 from both sides )
2x = 90 ( divide both sides by 2 )
x = 45
Use what you know about decomposing fractions to write 11/10 as a mixed number.
Answers
Evaluate the expressions 56 with a variable of -1
Answers
Answer:
The expression 56 with a variable of -1 is not well defined. The term 56 is a constant number, and the variable of -1 is also a constant. Therefore there is nothing to evaluate.
Step-by-step explanation:
If you want to evaluate the expression 56*(-1) it would give -56 as output because -1 is a scalar and multiplying with a scalar will change the sign of the constant 56 but it won't change its value.
In other words, to evaluate an expression, it needs to have a mathematical operation or function, operands, and/or variables that can be replaced with values or expressions. Without any operation, there's nothing to evaluate.
Which step is not necessary when solving this system of equations by graphing?
Identify the point of intersection.
Choose a method to graph the equations.
Determine the shaded area for each line.
Write the solution as an ordered pair.
Answers
Not necessary when solving this system of equations by graphing is
to determine the shaded area for each line. The correct option is C.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
We graph both equations in the same coordinate system in order to visually solve a system of linear equations. The intersection of the two lines is where the system's answer will be found. The point where the two lines join is (-3, -4), which is where this equation system's solution lies.
To know more about coordinate geometry follow
https://brainly.com/question/1365672
#SPJ1
please help me. i need this assignment done b4 tomorrow.
Answers
Answer:
Step-by-step explanation:
1/4 circle = 1/4*[tex]\pi[/tex][tex]r^{2}[/tex]
1/4 circle =1/4 *[tex]\pi[/tex]*[tex]11^{2}[/tex]
1/4 circle =95.03317
top rectangle = 11*5
top rectangle =55
bottom rectangle = 7*13
bottom rectangle = 91
add the 3 up
total area = 95.03317 + 55 + 91
total area = 241.03
Write each fraction as the sum of a whole number and a fraction less than 1
6/5
11/7
21/4
Answers
Given:
The fractions are:
[tex]\dfrac{6}{5},\dfrac{11}{7},\dfrac{21}{4}[/tex]
To find:
The each fraction as the sum of a whole number and a fraction less than 1.
Solution:
The given fraction is [tex]\dfrac{6}{5}[/tex].
[tex]\dfrac{6}{5}=\dfrac{5+1}{5}[/tex]
[tex]\dfrac{6}{5}=\dfrac{5}{5}+\dfrac{1}{5}[/tex]
[tex]\dfrac{6}{5}=1+\dfrac{1}{5}[/tex]
Therefore, the given fraction [tex]\dfrac{6}{5}[/tex] can be written as [tex]1+\dfrac{1}{5}[/tex].
The given fraction is [tex]\dfrac{11}{7}[/tex].
[tex]\dfrac{11}{7}=\dfrac{7+4}{7}[/tex]
[tex]\dfrac{11}{7}=\dfrac{7}{7}+\dfrac{4}{7}[/tex]
[tex]\dfrac{11}{7}=1+\dfrac{4}{7}[/tex]
Therefore, the given fraction [tex]\dfrac{11}{7}[/tex] can be written as [tex]1+\dfrac{4}{7}[/tex].
The given fraction is [tex]\dfrac{21}{4}[/tex].
[tex]\dfrac{21}{4}=\dfrac{20+1}{4}[/tex]
[tex]\dfrac{21}{4}=\dfrac{20}{4}+\dfrac{1}{4}[/tex]
[tex]\dfrac{21}{4}=5+\dfrac{1}{4}[/tex]
Therefore, the given fraction [tex]\dfrac{21}{4}[/tex] can be written as [tex]5+\dfrac{1}{4}[/tex].
PLEASE PLEASE PLEASE HELP
Answers
Answer: y=6x+8
Step-by-step explanation:
slope intercept form: y= mx+b
slope(m)= (y2-y1) / (x2-x1)
using the first two columns, we get:
(14-8)/(1-0) = 6/1= 6
to find b: find the y value where x=0
that gives us b=8
therefore, if we plug in m and b into the slope intercept form, we get
y = 6x + 8
Answer: y=6x+8
Step-by-step explanation:
coefficient: The number in BLANK of the variable within the BLANK BLANK
Answers
The blank spaces of the statement coefficient: The number in BLANK of the variable within the BLANK BLANK are, front, addition, subtraction.
What are coefficients and like terms?A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it.
Terms that have the same variables raised to the same power are referred to as like terms. The only difference is in the numerical coefficients.
We know a coefficient is a constant value combined with a variable.
For example, In 7x the coefficient of x is 7.
Given, A fill-in-the-blank statement,
coefficient: The number in BLANK of the variable within the BLANK BLANK.
Therefore,
coefficient: The number in front of the variable within the addition subtraction.
learn more about coefficients here :
https://brainly.com/question/30066987
#SPJ1
how much do 10 pieces of candy cost if 1000 pieces cost $40
Answers
can i get brainliest
The results of a survey show that the percent of adults in a certain town who want to add bike lanes to a major roadway is in the interval (0.57, 0.65)
(a) What is the point estimate for the percent who want to add the bike lanes?
(b) What is the poll’s margin of error?
(c) If the town’s adult population is 31,526, what is the best estimate for the number of people who would support the bike lanes?
Please DO NOT COMMENT RANDOM LETTERS
Answers
Answer:
a) about 39.5%
sorry if it wrong im not sure tho
Step-by-step explanation:
Calculate the sector area: 16 in 90°
Answers
Therefore , the solution of the given problem of area comes out to be
r = 8.
Define area.The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.
Here,
A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as
Sector Size/Sector Area = Circle Area/360
16 ft2/90 = n/360
(360) (16 ft2)/90 = n
(4)(16 ft2) = n
The total size of the circle is n = 64 ft2.
Since Area of a Circle equals r2,
∏r2 = 64
r2 = 64/∏
r = √(64/∏)
We multiply by / to get by rationalizing the denominator.
r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of
r = √(64∏)/∏
r = 8
Therefore , the solution of the given problem of area comes out to be
r = 8.
To know more about area, visit
https://brainly.com/question/27683633
#SPJ1
A book claims that more hockey players are born in January through March than in October through December. The following data show the number of players selected in a draft of new players for a hockey league according to their birth month. Is there evidence to suggest that hockey players' birthdates are not uniformly distributed throughout the year? Use the level of significance .
Answers
Complete question :
Birth Month Frequency
January-March 67
April-June 56
July-September 30
October-December 37
Answer:
Yes, There is significant evidence to conclude that hockey players' birthdates are not uniformly distributed throughout the year.
Step-by-step explanation:
Observed value, O
Mean value, E
The test statistic :
χ² = (O - E)² / E
E = Σx / n = (67+56+30+37)/4 = 47.5
χ² = ((67-47.5)^2 /47.5) + ((56-47.5)^2 /47.5) + ((30-47.5)^2/47.5) + ((37-47.5)^2/47.5) = 18.295
Degree of freedom = (Number of categories - 1) = 4 - 1 = 3
Using the Pvalue from Chisquare calculator :
χ² (18.295 ; df = 3) = 0.00038
Since the obtained Pvalue is so small ;
P < α ; We reject H0 and conclude that there is significant evidence to suggest that hockey players' birthdates are not uniformly distributed throughout the year.
. How many four letter patterns can be formed using the letters A, B, and C if letters may be repeated?
Answers
Answer:
24 patterns
Step-by-step explanation:
Given that four lettered patterns are to be formed using the three alphabets. Since letters may be repeated, then;
4[tex]P_{3}[/tex] = [tex]\frac{4!}{(4 - 3)!}[/tex]
= [tex]\frac{4 x 3 x 2!}{1!}[/tex]
= 4 x 3 x 2
= 24
4[tex]P_{3}[/tex] = 24
Therefore, 24 four letter patterns can be formed when the given letters are repeated.
The average basketball has a diameter of 9.5 inches. What is the volume of an average basketball?
Answers
the formula for volume of sphere is 4/3||r^3
diameter=2radius
in the formula we need to have radius but we have been given diameter so we convert diameter to radius
d=2r
r=d/2
9.5÷2
4.75
Seventy-five percent of the land in Venezuela is owned by:
2% of the people
17% of the people
75% of the people
10% of the people
Answers
Evaluate fraction with negative 3 raised to the seventh power times negative 3 squared in the numerator and negative 3 raised to the fifth power in the denominator.
−81
−27
27
81
Answers
Answer:
Last option, 81.
Step-by-step explanation:
Evaluate, [tex]\frac{(-3)^{7}(-3)^{2} }{\ (-3)^{5} }[/tex]
[tex]\frac{(-3)^{7}(-3)^{2} }{\ (-3)^{5} }[/tex] => [tex]\frac{(-3)^{7+2} }{\ (-3)^{5} }[/tex] => [tex]\frac{(-3)^{9} }{\ (-3)^{5} }[/tex] => [tex](-3)^{9-5}[/tex] => [tex](-3)^{4}[/tex] => [tex](-3)(-3)(-3)(-3)[/tex] => [tex]81[/tex]
Write −12x+y=10 in slope-intercept form.
Answers
The equation −12x+y=10 in slope-intercept form is y = 12x + 10
How to write the equation in the slope-intercept formThe general equation showing the slope-intercept form of a graph is represented as;
y = mx+ c
Given that;
y is a point on the y-axis of the graphm is the slope of the graphx is a point on the x -axis of the graphc is the intercept of the line on the y-axisFrom the information given, we have the equation as;
−12x+y=10
Now, let's make 'y' the subject of formula by
-12x + y = 10
Take '12x' to the other side of the equality sign
y = 10 + 12x
Make into slope-intercept form, we have
y = 12x + 10
Hence, the formula is y = 12x + 10
Learn more about slope-intercept here:
https://brainly.com/question/1884491
#SPJ1
The slope-intercept form of the equation of line −12x + y = 10 is y = 12x + 10.
What is the slope-intercept form of the equation of line?The slope-intercept form is expressed as;
y = mx + b
Where m is slope and b is the y-intercept.
Given the equation of the line;
−12x + y = 10
To rewrite in slope intercept form ( y = mx + b ), bring terms containing y to the left and x or constant terms to the write side of the equation.
−12x + y = 10
Add 12x to both sides
−12x + 12x + y = 10 + 12x
y = 10 + 12x
Reorder in slope intercept form
y = 12x + 10
Therefore, the slope intercept form is y = 12x + 10.
Learn more about equation of line here: brainly.com/question/2564656
#SPJ1
i will give Brainiest if you are right
Answers
Answer:
J is the answer ............
Answer:
The answer is G.
Step-by-step explanation:
A 4lb. bag of salt water taffy from the beach costs $15.12. What is the unit rate?
A.$15.12/lb
B.$3.78/lb
C.$3.79/lb
D.$3.77/lb
Answers
In rolling two dice, what is the probability that the sum of the two numbers on the dice will be 4?
A: 1 over 12
B: 3
C: 11 over 12
D: 2 over 3
Answers
Answer:
A
Step-by-step explanation:
If the dice are fair and 6 sided then you can roll a 4 in three ways
2 2
1 3
3 1
The total number of ways you can throw two 6 sided dice is 6 * 6 or 36
So P(4) = 3/36 = 1/12
What is the point-slope equation of a line with slope -4 that contains the point
(-2,7)?
A. Y+7 = -4(x-2)
B. y-7 = -4(x - 2)
c. y+ 7 = -4(x + 2)
D. Y-7 = -4(x + 2)
Answers
Answer:
y -7 = -4(x + 2) (Answer D)
Step-by-step explanation:
The general point-slope equation is y - k = m(x - h)
If the slope, m, is -4, and the point is (h, k) with h = -2 and k = 7), then we have in this case
y -7 = -4(x + 2) (Answer D)
Percent | Word Problems
1) Mrs. Smith has covered 50 miles of a 125-mile journey. What percentage of the
journey has been covered by her?
Answers
Answer:
40%
Step-by-step explanation:
50/125×100%
=40%
Mr Smith has covered 40 percent of the journey
Answer:
40%
Step-by-step explanation:
50/125 ×100= 40%
Find the sum of the complex numbers.
(3 + 3i) + (8 + 7i)
Answers
Answer:
21i² + 45i + 24
Step-by-step explanation:
Answer:
-5-4i
Step-by-step explanation: