Answer:
y= ⅔x -2
Step-by-step explanation:
slope-intercept form
y= mx +b, where m is the slope and b is the y-intercept.
Two given coordinates: (-3, -4) and (6, 2)
[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]
Slope
[tex] = \frac{2 - ( - 4)}{6 - ( - 3)} [/tex]
[tex] = \frac{2 + 4}{6 + 3} [/tex]
[tex] = \frac{6}{9} [/tex]
[tex] = \frac{2}{3} [/tex]
Substitute m= ⅔ into the equation:
y= ⅔x +b
From the graph, the y- intercept is -2 since the line cuts through the x-axis at (0, -2).
Alternatively, we can also substitute a pair of coordinates into the equation to find the value of b.
When x= 6, y= 2,
[tex]2 = \frac{2}{3} (6) + b[/tex]
2= 4 +b
b= 2 -4
b= -2
Thus the equation of the line is y= ⅔x -2.
-2 + 1/2 what is the answer
Answer:
-1 1/2
Step-by-step explanation:
1/2 is positive and - 2 is negative
Members of a soccer team raised $1428 to go to a tournament. They rented a bus for $955.50 and budgeted $31.50 per player for meals. Write and solve an equation which can be used to determine pp, the number of players the team can bring to the tournament.
Answer:
16 players can be brought to the tournament. The equation is written within my step-by-step explanation.
Step-by-step explanation:
Variable p = number of players
Set up an equation:
974.50 + 60.75p = 1946.50
Isolate variable p:
60.75p = 972
Divide:
p = 16
Check your work:
974.50 + 60.75(16) = 1946.50
974.50 + 972 = 1946.50
1946.50 = 1946.50
haircut josiah went to the local barber to get his hair cut.it cost $18 foto the haircut josiah tipped the barber 15%
15% of $18 is $2.70...........
Please help! If it’s true then it’s 10 points. If it’s false then it’s 15. Don’t add up the numbers. I really appreciate it :)
1) True
2) True
3) False
4) False
5) False
6) True
7) True
8) False
This is a math question from highschool (LOOK AT PICTURE)
Answer: The answer is 12q-1/2
Step-by-step explanation:
Find the perimeter. Simplify your answer.
Hey could you help me out please
I really don’t want to disappoint my father and I have too many assignments so can you help?
Answer:
Step-by-step explanation:
1.) [tex]c = \sqrt{a^{2} +b^{2} }[/tex]
a = 10, b = 7, c = x?
10+7= x
[tex]10^{2} + 7^{2} =x^{2}[/tex]
100 + 49 = [tex]x^{2}[/tex]
149 = [tex]x^{2}[/tex]
[tex]\sqrt{149} =[/tex] 12.206...
x = 12.2
2.) x + 19 = 21
[tex]x^{2} + 19^{2} =21^{2}\\21^{2}-19^{2} = x^{2}[/tex]
441 - 361 = [tex]x^{2}[/tex]
80 = [tex]x^{2}[/tex]
[tex]\sqrt{80}[/tex] = 8.94
x = 9
3.) x + 16 = 27
[tex]x^{2} + 16^{2}= 27^{2} \\27^{2} -16^{2} =x^{2}[/tex]
729 - 256 = [tex]x^{2}[/tex]
473 = [tex]x^{2}[/tex]
[tex]\sqrt{473}[/tex] = 21.74
x = 21.7
4.) 12.8 + 5.3 = x
[tex]12.8^{2} + 5.3^{2} =x^{2} \\163.84 + 28.09 = x^{2}\\191.93 = x^{2} \\\sqrt{191.93} = 13.85\\x = 13.9[/tex]
8.) x = 11.48 ft
a = 3.5 ft , b = x=? , c = 12 ft
[tex]3.5^{2} + x^{2} =12^{2} \\12.25 +x^{2} =144\\144-12.25=x^{2} \\131.75 = x^{2} \\\sqrt{131.75} =11.48\\x = 11.48[/tex]
9.) x = 32.078 feet
[tex]14^{2} +x^{2} =35^{2}\\196 + x^{2} =1225\\1029 = x^{2} \\\sqrt{1029} = 32.078 ft\\x = 32.078 ft\\[/tex]
10.) perimeter = 31.96
hope this helped a lot
mark me brainliest :D
Select the correct answer.
if g(x) = f(1/3x) which statement is true?
OA. The graph of function fis stretched vertically by a scale factor of 3 to create the graph of function g.
ОВ. The graph of function fis stretched horizontally by a scale factor of 3 to create the graph of function g.
oc. The graph of function fis compressed horizontally by a scale factor of 1/3 to create the graph of function g.
Od. The graph of function fis compressed vertically by a scale factor of 1/3 to create the graph of function g.
Answer:
D
Step-by-step explanation:
It says that f(1/3x)=g(x), so scale factor is 1/3 and it is across the y axis because f(x) is basically y.
The correct statement is that the graph of function f is compressed horizontally by a scale factor of 1/3 to create the graph of function g.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Let us take the function g(x) as f(1/3 x).
This means that g(x) takes the value of f at 1/3 of x's value.
If f(2) = 4, then g(6) = f(1/3×6) = f(2) = 4.
When we replace x with 3x, we are compressing the graph of f horizontally by a factor of 1/3.
This is because every point on the graph of f now has 1/3 of its original x-coordinate.
The point (2, 4) was on the graph of f, it is now on the graph of g as (6, 4).
The scale factor is less than 1 because we are compressing the graph horizontally, which means the x-values are getting smaller.
Therefore, the correct statement is that the graph of function f is compressed horizontally by a scale factor of 1/3 to create the graph of function g.
To learn more on Graph click:
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y=-2x
y=-x
y=6x
positive or negative??
Answer:
Positive i s the correct answer.
I hope it will work out
The sum of the interior angles in a polygon is 15,480°. Calculate the number of sides in the regular polygon.
Answer:
88 sides
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides, then
180° (n - 2) = 15480° ( divide both sides by 180° )
n - 2 = 86 ( add 2 to both sides )
n = 88
NEED HELP FAST WILL GIVE BRAINLIEST
Consider w = 4(cos(pi/2)+i sin(pi/2) and z=3(cos(3pi/2) +i sin(3pi/2)). What is w +z expressed in polar form?
A. Cos(0) + sin(0)
B. Cos(pi/2)+ isin (pi/2)
C. Cos(pi)+ isin (pi)
D. Cos(3pi/2) +isin (3pi/2)
Answer:
B. cos(pi/2) +i·sin(pi/2)
Step-by-step explanation:
You can convert to rectangular and back, or you can use the trig function relations directly.
w = 4·cis(π/2) = 4i
z = 3·cis(3π/2) = -3i
Then the sum is ...
w +z = 4i -3i = i = cis(π/2) . . . . matches choice B
__
An alternative representation of z is ...
z = -3·cis(π/2)
Then ...
w +z = 4·cis(π/2) -3·cis(π/2) = cis(π/2)
_____
Additional comment
In the above, we have used cis(α) to represent (cos(α) +i·sin(α)).
How would you best describe the angle pair <6 and <7
Answer:
Consecutive interior angles
Step-by-step explanation:
Solve for Z:
4 > 5Z + 34
help me so hard
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
Z < − 6
Interval Notation:
( − ∞ , − 6 )
Step-by-step explanation:
Answer:
z<-6
Step-by-step explanation:
4-5Z>34
-5z>34-4
-5z>30
z<-6
a cube has a side length of x^5 cm express the volume of the cube as a power to a power
Answer:
V = x^15
Step-by-step explanation:
(x^5)^3 = x^15
One-half of the sum of a number and 12 is less than 27. What is the number? Write as an inequality.
Answer:
Call the number we need to find a.
Inequality: (12 + a) ÷ 2 < 27
<=> 12 + a < 54
<=> a < 54 - 12
<=> a < 42
three friends arrive at a party. their arrival increases the number of people at the party by 20%. in total,how many are there at the party now
Answer:
12
Step-by-step explanation:
Please help!!
Find the slope of the line
Answer:
-2
Step-by-step explanation:
rise over run is 2/1 and y is decreasing as x is increasing so its negative
What pattern did you notice in Problem 1(a)? How can this strategy help you check your work with
nines facts?
Answer:
So for the 9's facts, we can use a 10's fact, and then just subtract one group. For example, for 9×3, first do 10×3 to make 30, and then subtract one group of 3 to make 27. For 9×7, first do 10×7 to make 70, and then subtract one group of 7 to make 63.
5. Find the triangle similar to AABC at the right. Question 5
Answer:
b
Step-by-step explanation:
If you multiple each side by 3 then they will equal the numbers that b has
The equation y=0.2x models a proportional relationship. Complete the table and graph the data.
y=0.2x
#0
[tex]\\ \sf\longmapsto y=0.2(0)=0[/tex]
(x,y)=(0,0)#5
[tex]\\ \sf\longmapsto y=0.2(5)=1[/tex]
(x,y)=(5,1)#10
[tex]\\ \sf\longmapsto y=0.2(10)=2[/tex]
(x,y)=(10,2)#15
[tex]\\ \sf\longmapsto y=15(0.2)=3[/tex]
(x,y)=(15,3)#20
[tex]\\ \sf\longmapsto y=0.2(20)=4[/tex]
(x,y)=(20,4)Step-by-step explanation:
The given Eqⁿ is, [tex]{ \purple{ \sf{y = 0.2x}}}[/tex]
[tex]{ \star}[/tex]Put x = 0, then
[tex]{ \purple{ \sf{y = 0.2(0) = 0}}}[/tex]
[tex]{ \boxed{ \red{ \sf{(x, \: y )\: = (0,0)}}}}[/tex]
[tex]{ \star}[/tex]Put x = 5, then
[tex]{ \purple{ \sf{y = 0.2(5) = 1}}}[/tex]
[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (5,1)}}}}[/tex]
[tex]{ \star}[/tex]Put x = 10, then
[tex]{ \purple{ \sf{y = 0.2(10) = 2}}}[/tex]
[tex]{ \boxed{ \red{ \sf{(x ,\: y) \: = (10,2)}}}}[/tex]
[tex]{ \star}[/tex]Put x = 15, then
[tex]{ \purple{ \sf{y = 0.2(15) = 3}}}[/tex]
[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (15,3)}}}}[/tex]
[tex]{ \star}[/tex]Put x = 20, then
[tex]{ \purple{ \sf{y = 0.2(20) = 4}}}[/tex]
[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (20,4)}}}}[/tex]
Find the perimeter. Simplify your answer.
Answer:
4s + 2
Step-by-step explanation:
The way we find the perimeter is we add up all the sides
s+1 + s + s+1 + s
Now we add up light terms and we get 4s+2 as our answer
Answer:
4s+2
Step-by-step explanation:
For perimeter we just have to add up all the sides.
So the equation would look like this:
s + s + (s+1) + (s+1)
There are 4 s variables and 1+1=2
So this can be simplified into :
4s+2
Hope this helps!
(Pls mark as brainiest)
Thanks!
What is the value of x? Enter your answer in the box. x =
Answer:
32
Step-by-step explanation:
The shape in image is an equilateral triangle which means all of it's angles has equal measurements:
2x - 4 = 5y and that is equal to 60 degrees
2x - 4 = 60 add 4 to both sides
2x = 64 divide both sides by 2
x = 32
Please help with proportional relationships!!! (Photos)
(determine whether the quantities on each table represent a proportional relationship if yes, give the constant rate) pls explain!!
Answer:
yes, the question is proportional. if you multiply 9.50 by 2 you get 19 and so on and so forth. the constant rate is 9.50
The average daily maximum temperature in Syracuse is 21.85°C, and the average daily minimum temperature is -4.7°C. The average daily maximum temperature is:
____ °C higher than the average daily minimum temperature.
Answer:
26.55°C
Step-by-step explanation:
21.85 - - 4.7
21.85 + 4.7
26.55
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
SOS l don’t understand help please
I hope you have your answer now
HELP PLEASE 100 POINTS
Answer:
118 is the answer.Step-by-step explanation:
All pentagons angles = 540
540 - 107 - 100 - 96 - 119 = 118
118 is the answer.Hope it helped!
Kavitha
Answer:
The answer above is in fact correct
Step-by-step explanation:
107+100+96+119+118=540
What is the topic of a piece of informational writing? (100 point)
A. the meanings of words
B. the way the writer feels about the subject
C. the subject or focus
D. the way information is grouped
Answer:
the topic of a piece of informational writing: C. the subject or focus
The topic of an informative piece is the writer's feelings about the subject which is the correct answer that would be an option (B).
What is information writing?Informational writing is a piece of writing that is truthful and aims to educate or explain a topic to the reader. This teaches primary school students how to write realistic, insightful essays on a variety of topics.
It gives the reader fundamental information about a certain issue, which serves to inform the reader. Informational writing, unlike other types of writing, does not aim to influence the reader's opinion or inspire them to take action.
The informational writing is straightforward and succinct. It does not include any superfluous words, flamboyant notions that might confuse the readers or too detailed terminology.
Therefore, the correct answer would be option (B).
Learn more about the Information writing to click here:
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which answer is correct
Answer:
see below for answer
Step-by-step explanation:
(4p^2+32p)/(p-2)=(4p(p+8))/p-2
(p^2+p-6)/(2p^3+16p^2)=(p+3)(p-2)/(2p^2)(p+8)
(4p(p+8)/(p-2))*((p+3)(p-2)/((2p^2)(p+8)))=2(p+3)/p
What is the answer to this Multi Step equation?
2y+29-8y=5
Answer:
Y=4
Step-by-step explanation:
Let's solve your equation step-by-step.
2y+29−8y=5
Step 1: Simplify both sides of the equation.
2y+29−8y=5
2y+29+−8y=5
(2y+−8y)+(29)=5(Combine Like Terms)
−6y+29=5
−6y+29=5
Step 2: Subtract 29 from both sides.
−6y+29−29=5−29
−6y=−24
Step 3: Divide both sides by -6.
−6y/-6=-24/-6
y=4
Hope this Helps
Write an equation in slope-intercept form for the line parallel to y = 5x – 2
that passes through the point (6,-2).
Type your equation in the form y=mx+b. Do not use any spaces in your response.
Answer:
y = 5x - 32
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
y = 5x - 2 ← is in slope- intercept form
with slope m = 5
Parallel lines have equal slopes, then
y = 5x + b ← is the partial equation
To find b substitute (6, - 2 ) into the partial equation
- 2 = 30 + b ⇒ b = - 2 - 30 = - 32
y = 5x - 32 ← equation of parallel line