Answer:
y = -1/2x + 19/2
Step-by-step explanation:
Hi there!
We are given the points (9,5) and (7,6)
We want to write an equation of the line that contains these two points, in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
First, let's find the slope of the line
The formula for the slope (m) calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the slope, but let's label the values of the points to avoid any confusion.
[tex]x_1=9\\y_1=5\\x_2=7\\y_2=6[/tex]
Now substitute these values into the formula to find the slope
m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{6-5}{7-9}[/tex]
Subtract
m=[tex]\frac{1}{-2}[/tex]
m=-1/2
The slope of the line is -1/2
We can substitute this as m into the formula for slope-intercept form:
y = -1/2x + b
Now we need to find b
As the equation passes through (9, 5) and (7, 6), we can use either one to solve for b
Taking (7, 6) for example:
Substitute 7 as x and 6 as y into the equation
6 = -1/2(7) + b
Multiply
6 = -7/2 + b
Add 7/2 to both sides
19/2 = b
substitute 19/2 as b:
y = -1/2x + 19/2
Hope this helps!
See more on this topic here: https://brainly.com/question/27417375
What is the mode of this data set?
{2, 2, 3, 3, 4, 4, 4, 4}
Enter your answer in the box
If 5 people receive 8 brownies, what is the fraction form of how many brownies each person will equally receive
If Donald can run 1/3 of a mile in one minute, how much
will he run in one day?
What fraction of the class has the number of pets that occurs most often? Express your answer as a percent, too. *
Answer:
i dont think you have included all the info of the question so if you do that i might be able to help you :)
Step-by-step explanation:
A school locker has a length of 1 ft a width of 18 in and a height of 2 and a half ft. What is the volume in cubic feet
Answer:
6,480
Step-by-step explanation:
1 ft = 12 in.
1 x 12
12
2.5 x 12
30
12 x 30
360 x 18
6,480
What is the surface area of 20cm 7cm 6cm
Answer:
840
Step-by-step explanation:
20 x 7 = 140
140 x 6 = 840
How many solutions exist for the given equation? 12x 1 = 3(4x 1) – 2 zero one two infinitely many
An equation is formed of two equal expressions. The given equation 12x+1=3(4x+1)-2 has infinite numbers of solutions.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
To find the solution to the equation we need to solve the given equatiopn. Therefore, the equation can be written as,
[tex]12x+1=3(4x+1)-2\\12x+1=12x+3-2\\12x+1=12x+1[/tex]
As we can see that both sides of the equation are similar to each other, therefore, for any value of x the equation will be satisfied.
Thus, the given equation 12x+1=3(4x+1)-2 has infinite numbers of solutions.
Learn more about Equation:
https://brainly.com/question/2263981
Find the value of z.
Answer:
z=6 sqrt 2
Step-by-step explanation:
Find y, by using the pythagrean theorem, 9=1+0, y= 2sqrt 2. Then plug y in to find z. 2srt ^2+8^2=z^2, 8+64=72=6sqrt2
Look at △ABC and △DEF on this coordinate grid.
Which transformation shows that △ABC and △DEF are similar?
A
a dilation of △ABC with a scale factor of 2
B
a translation of △ABC 1 unit up and 3 units to the right
C
a dilation of △ABC with a scale factor of 12
D
a translation of △ABC 3 units up and 3 units to the right
Answer:
Step-by-step explanation:
I will love to help but the answer sorry... :(
Find the value of the expression. Show your work. 15×x if x=5
Answer:
75
Step-by-step explanation:
if x = 5 then 15 × x = 15 × 5.
15 × 5 is 75
Which of the following is a Pythagorean triple?
Answer:
C: 8, 15, 17
Step-by-step explanation:
The easiest way to do this is simply to memorize the first few Pythagorean triples. It saves time. But it can also be hard to remember that. To see if something is a triple...
1. [tex]a^{2} + b^2=c^2[/tex]. This means square the first one, the second and add. Then square the last one. The sum of the first two with the last one should be the same.
2. For this to work, they have to be in order from least to greatest. All of these are.
3. Let's fill in the equation:
8^2= 64.
15^2= 225.
225+64= 289
17^2= 289.
It matches! It's a triple.
Help me please. How to prove this ?
[tex] \frac{ \cos(x) + \sin(x) }{ \cos(x ) - \sin(x) } = \tan(45 + x) [/tex]
Answer:
First, you want to divide the numerator and denominator by the cosine(x), and afterwards, it looks like this...[tex]\frac{tan~x+1}{tan~x-1}[/tex]
Include 45 as one of the parameters and correlate with tan.[tex]\frac{tan~x+tan~45}{tan~x-tan~45}[/tex]
Next, you want to multiply the numerator and denominator by the conjugate of the denominator, in this case, tan x + tan 45.Lastly, simplify, and you have the answer as tan(45 + x)What are the zeros of the quadratic function f(x) = 6x2 – 24x 1?
The zeros or roots of the quadratic function f(x) = 6x² – 24x +1 were found with the help of the formula.
The given quadratic equation is:
[tex]6x^{2} -24x+1=0[/tex]
What is a quadratic equation?Any equation of the form [tex]ax^{2} +bx+c=0[/tex] where a≠0 is called a quadratic equation.
We know the solution of a quadratic equation [tex]ax^{2} +bx+c=0[/tex] is given by:
[tex]x=\frac{-b +\sqrt{b^{2}-4ac } }{2a}[/tex]
[tex]x=\frac{-b -\sqrt{b^{2}-4ac } }{2a}[/tex]
So, the solution of the quadratic equation [tex]6x^{2} -24x+1=0[/tex] will be:
[tex]x=\frac{-(-24) +\sqrt{(-24)^{2}-4(6)(1) } }{2*6}[/tex]
[tex]x=\frac{12+\sqrt{138} }{6}[/tex]
[tex]x=\frac{12-\sqrt{138} }{6}[/tex]
Thus, the zeros or roots of the quadratic function f(x) = 6x² – 24x +1 were found with the help of the formula.
To get more about quadratic equations visit:
https://brainly.com/question/1214333
Answer:
its the fourth one on edge D
Step-by-step explanation:
x=2+23/6 or x=2-23/6
Hi! I was wondering if i got the right answer for this question?
I got 3301.2
answer:
i also got what u got 3301.2
HELP ASAP....PLS NO LINKS AND NO JOKING
on a computer assembly line, the company's goal is to have no more than 2% errors there are 220 computers assembled each day. the inequality representing the relationship between the number of computers assembled and errors (e) is shown below
e220 <0.02
how many computers out of 220 can have errors and stay within the company's of no more than 2% errors
A. e<=2
B. e<=4
C. e<4
D. e<2
Hi maryanne!
Answer:
C. e<4
Step-by-step explanation:
Since [tex]\frac{e}{220} \leq 0.02[/tex]
e [tex]\leq[/tex] 0.02 x 220
e [tex]\leq[/tex] 4.4 (multiply 220 both sides)
e [tex]\leq[/tex] 4.4
Thefore it can be e [tex]\leq[/tex] 4
Tyler packed 8 shirts for a trip. Six of the shirts are short-sleeved. He randomly selects a shirt from his suitcase, replaces the shirt, and then selects another.
The two times Tyler selects a shirt from the suitcase are __________ events.
The probability that he selects a short-sleeved shirt both times is ________.
options for blank 1: independent, dependent
options for blank 2 :15/28, 9/16, 3/4, 9/14
Answer:
independent
9/16
Step-by-step explanation:
The events are independent events since he puts the first shirt back
P( short sleeve) = number of short sleeve)/ total
= 6/8 = 3/4
P ( short sleeve, short sleeve) = 3/4 * 3/4 = 9/16
What criteria can you use to show these two triangles are congruent?
choice:
SSA
AAS
HL
SAS
Answer:
SAS
Step-by-step explanation:
You can use SAS (Side Angle Side) as they are in the correct order to use the Therom in order to prove they are equal.
Write and solve a proportion to answer the question. Round the answer to the nearest tenth.
What percent of 36 is 20?
Answer:
7.2
Step-by-step explanation:
36 divided by 5 = 7.2
7.2 times 5 = 36.
a model of a skyscraper is 6 inches tall if the model is scale 1 inch : 200 feet, the skyscraper is ___ feet tall
Answer:
1200 feet
Step-by-step explanation:
6 inches times 200 feet = 1200 feet tall
Answer:1200
Step-by-step explanation:
oh no :c, i ment to put the first answer as a 5/5 but he is correct for me!
Point H is the circumcenter of triangle JKL.
Which must be true?
O FH ≈ DH
O JF ≈ JD
O JH ≈ LH
O KF ≈ LD
If H is the circumcenter of triangle JKL then true statement is JH ≈ LH.
What is Property of Circumcenter?The circumcenter of a triangle is the point of intersection of the perpendicular bisectors of the triangle's sides. It is the center of the circumcircle, which is the circle passing through all three vertices of the triangle.
The circumcenter is equidistant from the three vertices of the triangle.
This means that the distance from the circumcenter to each vertex is the same.
i.e., the distance of point H is equal from J, K and L.
Then, the length of each of is equal which is
JH = KH = LH
Learn more about circumcenter here:
https://brainly.com/question/29927003
#SPJ7
what is -2(-6+-y) in expanded form
p.s. I'm only a 7th grader so this is 7th grade math
Answer:
2 mutiplyed by (y + 6)
Step-by-step explanation:
Pull out like factors :
-6 - y = -1 • (y + 6)
at the end:
0 - -2 • (y + 6)
Final result :
2 • (y + 6) !
A sequence can be generated by using an=an−1+2, where a1=8 and n is a whole number greater than 1.
What are the first 3 terms in the sequence?
a) 8, 10, 12
b) 8, 16, 32
c) 2, 16, 128
d) 2, 10, 18
The sequence an=an−1+2 is an arithmetic sequence
The first three terms in the sequence are (a) 8, 10, 12
How to determine the first three terms?The sequence is given as:
an=an−1+2
Where:
a1 =8
Start by calculating a2 using:
a2=a1+2
This gives
a2=8+2 = 10
Calculate a3 using:
a3=a2+2
This gives
a3=10+2 = 12
So, we have:
a1 = 8, a2 = 10 and a3 = 12
Hence, the first three terms in the sequence are (a) 8, 10, 12
Read more about arithmetic sequence at:
https://brainly.com/question/6561461
Is 2/3 < 5/8? Help me with this
Answer:
No its 2/3 > 5/8
Step-by-step explanation:
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as:
2/3 = 0.667
5/8 = 0.625
Then, we compare the two decimal numbers to get the answer.
0.667 is greater than 0.625. So 2/3 > 5/8
Answer:
No, 2/3 is bigger than 5/8
Step-by-step explanation:
If you convert 2/3 into a deciamal it is 0.666
and if you convert 5/8 into a decimal it is 0.625
therefore 2/3 is the bigger fraction and the statement is not correct.
Hope this helps!!!!
no pdf please or a image or link
Can someone please give me the awnser?
5. In a fruit basket if there are 2 dozen bananas out of which 5 are
rotten, find the percentage of bananas which are in good
condition?
Can someone please give me the answer to this?
9.4. During the course of a normal workday, Sandra and Bob interact with each other more than they do with anyone else. Bob works more closely with Gloria than he does with Joe. Sandra does not work much with Joe but she does work somewhat more with Gloria. If the offices of these individuals were arranged in a linear fashion, one following the other and Sandra's office was first, in what order should they be arranged for maximum communication efficiency?
(1 Point) A. Sandra-Bob-Joe-Gloria B.Sandra-Gloria-Bob-Joe C. Sandra-Gloria-Joe-Bob D.Sandra-Bob-Gloria-loe
10. Reason (2 points)
The ordering that will be important to illustrate maximum communication efficiency is D. Sandra-Bob-Gloria-loe.
What is communication?It should be noted that communication simply means the passing of information from the sender to the receiver.
In this case, ordering that will be important to illustrate maximum communication efficiency is Sandra-Bob-Gloria-loe. This is because Sandra communicates more with Bob than anyone else.
Learn more about communication on:
https://brainly.com/question/26152499
Classify the triangle.
Answer:
This looks like an acute triangle
Step-by-step explanation:
This looks like an actue triangle because all of the sides look less than 90 degrees
Also you can use prossess of elemination:
It is not a right triangle because it does not have a 90 degree angle
it is not a obtude triangle because the angles do not look grather than 90 drgress
and this is not an equlateral triangle because the angles and not all the same.
So this leave acute triangle
Do you think using a dot plot would be a good way to organize and analyze the data
in the Summer Olympics table?
Answer:
2:1
Step-by-step explanation:
The U.S. has twice as many gold medals as the Russian Federation. hope it helps :)