Answer:
1) The equation of the line in point slope form is equal to [tex]y-11=\frac{4}{3}(x-9)[/tex]
2) The equation of the line in slope intercept form is equal to [tex]y=\frac{4}{3}x-1[/tex]
3) The equation of the line in standard form is equal to [tex]4x-3y=-3[/tex]
Step-by-step explanation:
we have that the line passes through the points
(9,11) and (21,27)
step 1
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute the values
[tex]m=\frac{27-11}{21-9}[/tex]
[tex]m=\frac{16}{12}[/tex]
[tex]m=\frac{4}{3}[/tex]
step 2
Find the equation of the line into point slope form
The equation of the line is
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=\frac{4}{3}[/tex]
[tex]point (9,11)[/tex]
substitute
[tex]y-11=\frac{4}{3}(x-9)[/tex] -----> equation of the line into point slope form
step 3
Find the equation of the line in slope intercept form
[tex]y=mx+b[/tex]
[tex]y-11=\frac{4}{3}(x-9)[/tex]
[tex]y=\frac{4}{3}x-12+11[/tex]
[tex]y=\frac{4}{3}x-1[/tex] -----> equation of the line in slope intercept form
step 4
Find the equation of the line in standard form
[tex]Ax+By=C[/tex]
where
A is a positive integer
B and C are integers
[tex]y=\frac{4}{3}x-1[/tex]
Multiply by 3 both sides to remove the fraction
[tex]3y=4x-3[/tex]
[tex]4x-3y=-3[/tex] ----> equation of the line in standard form
Find the area of the parallelogram. A. 14 square units. B. 48 square units.
C. 24 square units. D. 28 square units
Answer:
B
Step-by-step explanation:
The area of a parallelogram is base times height.
The height has to be perpendicular to the base, so the base (if you count) is 6 units, and the height is 8 units.
8x6=48 square units
What is the length
of HJ expressed in terms of pie?
im not sure but pie is 3.14
Which expression is equivalent to 8c+6-3c-2
A.5c+4
B.5c+8
C.11c+4
D.11c+8
Answer:D
Step-by-step explanation:
You subtract 8-3 which is 11c and then you add 2 to 6 which is 8
Answer:
5c+5, A
Step-by-step explanation:
This is because 8c is combined with the negative 3c to make 5 c. 6 c is combined with negative 2 to creat positive 4.
Students at Sugar land middle school were asked what their favorite sport was. The table below shows the results of the survey. If you select a student at random, what is the probability that you were select a boy who chose a football as his favorite sport?
Answer:
Step-by-step explanation:
State the domain of this relation
Answer:
Step-by-step explanation:
The domain of this relation includes one each of the various x-values: {4, 5, 6, 8}; do not included 4 twice.
The domain is the x’s
The rest Is:this behavior is called ____
Help me please 60 points!!
Answer:
Number 7 is phototropism due to the growth towards the sun and number 8 is Mitochondria as it provides atp which is currency for energy
7 is B
8 is A
Hope this helps :)
You have to solve this . Calculate the diameter of a human red blood cell is 0.000006 m. Write the diameter in scientific notation
Answer:
6 x 10 to the -6 power
Step-by-step explanation:
Moved the decimal to the right 6, since less than 0 its negative
In order to solve by completing the square, what value needs to be added to
both sides of the equation: x2 + 8x = 17? (A.8A, RC 4, RS)
A 64
B 32
C 17
D 16
can someone please explain?
Answer:
16
Step-by-step explanation:
To find the term needed, use the binomial formula.
[tex](a+b)^2 = a^2 + 2ab + b^2[/tex]
Let 8x = 2ab, a is by default x, which leaves us with:
8x = 2xb
8 = 2b
b = 4
And by the binomial formula add [tex]b^2[/tex] to both sides, namely 16.
[tex]x^2 + 8x + 16 = 17 + 16\\(x+4)^2 = 33[/tex]
Please help me with geometry.
Parallel lines have the same slope so the equation will have the same slope. The y-coordinate is the new y-intercept, so the equation is y = 3x + 8
Hope this helps
Answer:
y = 3x + 5
Step-by-step explanation:
Line y = 3x - 8; slope = 3
Parallel lines, slope is the same so slope of the line that parallel to the line y = 3x - 8 is also 3
Passing thru (1,8)
y - 8 = 3(x - 1)
y - 8 = 3x - 3
y = 3x + 5
Answer:
y = 3x + 5
Which translation shifts the graph of f(x)=3x+3 onto g(x)=3x-3
Answer:
vertical translation of - 6
Step-by-step explanation:
given f(x) = 3x + 3
then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift of c units up ↑
• If c < 0 then a shift of c units down
shift from + 3 to - 3 is a vertical shift of 6 units down
Which point does NOT lie on the graph of the line 4x + 2y = 8?
A. (0, 4)
B. (3, -2)
C. (4, -4)
D. (-2, 4)
Like last time, we substitute in each one until we find one we see can't work, or just look at them and choose the one that doesn't look right.
D in this case doesn't look right, so we can substitute it in:
-8+8=8
That isn't true, that equation would equal 0.
Hope I helped (again), sorry if I'm wrong!
~Mschmindy
D. (-2,4) is the answer?
Which graph can be used to find the solution(s) to 8 – 4x = 2x – 4?
Answer:
To find the solutions to the system of equations we need to graph the following equations:
y = 8 - 4x (Red line)
y = 2x - 4 (Blue line)
The point of interception, is the solution to the system of equations.
By looking at the graph attached, you can see that the point of itersection is at (2,0)
Answer:
both lines intercept at (2,0) which would be the second graph (B)
Step-by-step explanation:
The perimeter of a rectangle is 44. The length is 5 less than double the width. Find the dimensions
Length: 2w - 5
Width: w
2(2w - 5) + 2w = 44
Distribute:
4w - 10 + 2w = 44
Combine like terms:
6w - 10 = 44
Move 10 to the other side:
6w = 54
Divide by 6:
w = 9, which is the width. That means that 13 is the length.
To find the dimensions of the rectangle, we can set up a system of equations and solve for the width and length. By using the formula for the perimeter of a rectangle, we can find the values of the dimensions.
Explanation:To solve this problem, we can set up a system of equations based on the given information. Let's assume that the width of the rectangle is 'w', and since the length is 5 less than double the width, we can express the length as '2w - 5'. The perimeter of a rectangle is given by the formula 2(length + width), so we can use this formula to set up an equation:
2(2w - 5 + w) = 44
Simplifying this equation, we get 6w - 10 = 44. Solving for 'w', we find w = 9. Substituting this value back into the expression for the length, we find the length is 13.
Therefore, the dimensions of the rectangle are width = 9 and length = 13.
Learn more about Rectangle dimensions here:https://brainly.com/question/31677552
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HELP ASAP PLEASE!!!!!
The net of a triangular prism is composed of____triangles and ____ rectangles
A triangular prism is a prism composed of two triangular bases and three rectangular sides
What’s this answer to this problem
Answer:
Radius is 13 and Circumferences is 81.64
Step-by-step explanation:
You divide 26 by two to get the radius and multiply 2 time pi times the radius or pi times diameter to get the circumference.
Answer:
radius=13
Circumference=26pi
Area=169pi
Step-by-step explanation:
The radius is half the diameter (SP or PR or PQ). The radius is 13
Area= pi(r)^2
r=radius
r=13
pi(13)^2=169pi
circumference=2pi(r)=(pi)d
r=radius
d=diameter
2(pi)13=26pi
Two similar triangles are shown. Triangle RST was , then dilated, to create triangle ZXY. plzzzzzz
Answer: Translated (Option C)
Step-by-step explanation:
Two similar triangles RST was then dilated, to create triangle ZXY.
For dilation, translation should be done.
What is dilation?Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape.
As, ΔRST was dilated to form ΔZXY.
But, this can be done by translation , to create ΔZXY
The following information:
Since Triangle ΔZXY is slightly higher and to the right of triangle ΔRST.
So it should be translated.
so, that it could be dilated for ΔZXY.
Learn more about this concept here:
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Jenna was alone in the house for two months. To pass the time, she read 216 comics and 150 novels. How many books did she read? She went to her friends Emilia’s house for 5 hours and went shopping for 1 hour. How many hours was she gone?
Answer:
She read 366 books and she was gone for 6 hours.
Step-by-step explanation:
216+150=366
5+1=6
Final answer:
Jenna read a total of 366 books, combining both the comics and novels. She was gone for 6 hours in total when visiting her friend Emilia and going shopping.
Explanation:
Jenna read a total of 216 comics and 150 novels. To find how many books she read, you simply add these two numbers together:
216 comics
+ 150 novels
216 + 150 = 366 books.
For the second part of the question, Jenna spent 5 hours at Emilia's house and went shopping for 1 hour. To find out how many hours she was gone, you add the two durations of time:
5 hours at Emilia's house
+ 1 hour shopping
5 + 1 = 6 hours gone.
I'll make you brainliest
Just need the answer
Area of that picutre of a quadrilateral
The area is 10 :) hope that helps
Edit:
Reason:
(a+b)/2 * h is the formula plug in the numbers and you get:
(4+6)/2 * 2
10/2 * 2
5 * 2
= 10 feet.
Can some one help with this
Answer:
Yes its true its a straight line
In the figure below, mEHB = (4x-2) and m AHK = 48. What is the value of x?
12.5° or 13° depends how your teacher wants the answer. 4x-2 = 48
4x = 50
X = 12.5°
From the diagram, since[tex]$\angle AHK$[/tex] and [tex]$\angle EHB$[/tex] are supplementary angles, we have [tex]m\angle AHK + m\angle EHB = 180^\circ$.[/tex]
Substituting in the values that are given, we get [tex]48^\circ + (4x-2)^\circ = 180^\circ$.[/tex] Solving for x, we get [tex]$x = \boxed{33.5}$.[/tex]
From the diagram, we see that angles [tex]$\angle AHK$[/tex] and [tex]$\angle EHB$[/tex] are supplementary angles.
Therefore, we have the equation [tex]m\angle AHK + m\angle EHB = 180^\circ$.[/tex]
Substituting in the values that are given, we get [tex]48^\circ + (4x-2)^\circ = 180^\circ$.[/tex]
Simplifying both sides of the equation, we get [tex]4x-2 + 48 = 180$.[/tex]
Subtracting 46 from both sides of the equation, we get [tex]4x = 134$.[/tex]
Dividing both sides of the equation by 4, we get
[tex]x = \boxed{33.5}$.[/tex]
For similar question on supplementary angles.
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Help ASAP 15 points worth
Answer: Im pretty sure A. x=-6 and y=-4
Answer:
X= -6
Y=-4
Is the Answer A
Jeremy finished 3/5 of his homework what prevent of his homework did he finish
Answer:
60 percent.
Step-by-step explanation:
In your job at a restaurant, you made a 12-cup pot of coffee at 7:20 a.m. By 7:40 a.m., you had served it all and had to make another pot. At this rate, how many cups would you serve per hour?
Answer:
36 cups
Step-by-step explanation:
every 20 minutes you make 12 cups. 20×3=60, which is 1 hour. You will meed to make 3 pots of coffee that are 12 cups each, 3×12=36
The cups would you serve per hour is 36.
We have given that,
In your job at a restaurant, you made a 12-cup pot of coffee at 7:20 a.m. By 7:40 a.m.
What is the one hour?one hour contains a 60 inutes
That is the 1 hour=60 minutes.
Every 20 minutes you make 12 cups.
20×3=60, which is 1 hour.
You will need to make 3 pots of coffee that are 12 cups each
3×12=36
Therefore, the cups would you serve per hour is 36.
To learn more about the time visit:
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what are Prime numbers?
Answer:
Prime numbers are whole numbers that multiply itself by 1 and they cannot be multiplied by other numbers.
Some examples of prime numbers would be: 1, 2, 3, 5, 7...
which graph shows the solution to the inequality
|x+3| ≥ 2?
Answer:
2nd number line
Step-by-step explanation:
When there is an absolute value inequality of the form |x+a| ≥ b,
We can say that the solution set (in a number line) would be:
we take the point x = -athen we go b units in both directions (left and right)start from those 2 points and draw arrows in both directions (left & right)Keeping these points in mind,
|x+3| ≥ 2
we start from x = -3
we go 2 units left and right, so we arrive at x = -5 and x = -1
then we draw arrows to both sides
looking at the choices, we see 2nd answer choices (graph) portrays it correctly.
Answer:
b
Step-by-step explanation:
Iliana’s math grade increased from 65 to 86. Fiona’s math grade increased from 70 to 80. What is the difference, rounded to the nearest whole number, between the approximate percent increases?
Answer:
18 points
Step-by-step explanation:
We first need to find the percent increase for both Iliana an Fiona.
To do so, we take the absolute value of difference (the score increase) and we compare/divide it by the original score they had.
So, for Iliana, we have a starting score of 65 and an increase of 21 (86-65).
Her percent of increase is 21/65 = 32.3%
For Fiona, she went from 70 and had a 10 points increase (80-70).
Her percent of increase is 10/70 = 14.3%
The difference between the two percent of increase is 18 points (32.3 - 14.3)
Answer with Step-by-step explanation:
Percentage increase in score is calculated by the formula:
[tex]\dfrac{New\ score-Old\ score}{Old\ score}\times 100[/tex]
Iliana’s math grade increased from 65 to 86.
Percentage increase in Iliana's score is:
[tex]\dfrac{86-65}{65}\times 100[/tex]
=[tex]\dfrac{21}{65}\times 100[/tex]
=32.31%
Fiona’s math grade increased from 70 to 80.
Percentage increase in Fiona's score is:
[tex]\dfrac{80-70}{70}\times 100[/tex]
=[tex]\dfrac{10}{70}\times 100[/tex]
=14.28%
Difference between percentage increases=32.31%-14.28%
= 18.03%
Hence, difference, rounded to the nearest whole number, between the approximate percent increases is:
18%
What are the slope and the y-intercept of the line shown in the graph
The y-intercept is the y value when x = 0, or (0 , y)
Based on the graph, your y-intercept is at (0 , 2) or 2
The slope(m) can be found using the slope formula and plugging in 2 points:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
But if you look at the answer choices, if the slope is positive, the line would be going up and to the right
If the slope is negative, the line would be going down and to the right
your answer is A
The Graph Of y=x^3 is transformed as shown in the graph below. Which equation represents the transformation function? HELP PLZ
ANSWER
[tex]y = {( - x)}^{3} - 4[/tex]
EXPLANATION
The parent or base function is
[tex]y = {x}^{3} [/tex]
This function has its y-intercept at the origin.
It has been transformed vertically so that its y-intercept is now at -4.
This is a transformation of the form
[tex]y = {x}^{3} - k[/tex]
where k=4.
The function is also reflected in the x-axis.
The new function is
[tex]y = {( - x)}^{3} - 4[/tex]
The new function is
a) [tex]y = {( - x)}^(3) - 4[/tex]
The parent or base function is
[tex]y = {x}^(3)[/tex]
This function has its y-intercept at the origin.
It has been transformed vertically so that its y-intercept is now at -4.
This is a transformation of the form
[tex]y = {x}^(3) - k[/tex]
where k=4.
The function is also reflected in the x-axis.
The new function is
a) [tex]y = {( - x)}^(3) - 4[/tex]
please help!!! asap! ( 10 points)
Answer:
a. true: 3 false: -5
b. true: 9 false: 2
c. true: 1/3 false: 1
d. true: 2 false: 3
I hope this helps!
If m
Answer choices are -
Which property is shown
Reflexive
Substitution
Symmetric
Transitive
Answer: symmetric or reflexive
Step-by-step explanation:
I'm not forsure but I believe that these are the two options bc the other two aren't forsure sorry dude I'm trying :0