Step-by-step explanation:
Slope-intercept form: y = mx + b
Step 1: Find the slope.Solve for [tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]y2-y1 = \frac{11}{12} -\frac{19}{20}[/tex]
[tex]x2-x1 = \frac{1}{3} -\frac{2}{5}[/tex]
To solve for the fractions you need a common denominator.
[tex]y2-y1 = \frac{11*20}{12*20} -\frac{19*12}{20*12} = \frac{220}{240} -\frac{228}{240}=\frac{-8}{240} = \frac{-1}{30}[/tex]
[tex]x2-x1 = \frac{1*5}{3*5} -\frac{2*3}{5*3} = \frac{5}{15} -\frac{6}{15}=\frac{-1}{15}[/tex]
To divide fractions you keep (the first equation), change (the division sign to multiplication), and flip (the second fraction).
[tex]\frac{y2-y1}{x2-x1}=\frac{\frac{-1}{30} }{\frac{-1}{15} } = \frac{-1}{30}*\frac{15}{-1} =\frac{-15}{-30}=\frac{1}{2}[/tex]
Step 2: Plug slope and a point into y=mx+b to solve for b.[tex]\frac{11}{12}[/tex] = ([tex]\frac{1}{2}[/tex])*([tex]\frac{1}{3}[/tex])+b
[tex]\frac{11}{12}[/tex] = ([tex]\frac{1}{6}[/tex])+b
[tex]\frac{11}{12}-\frac{1}{6}[/tex] = b
[tex]\frac{11*6}{12*6}-\frac{1*12}{6*12}=\frac{66}{72} -\frac{12}{72} =\frac{54}{72}=.75[/tex]
b = .75
y = [tex]\frac{1}{2}+.75[/tex]
In the sequence
1,2,2,4,8,32,256,...
each term (starting from the third term) is the product of the two terms before it. For example, the seventh term is 256, which is the product of the fifth term (8) and the sixth term (32).
This sequence can be continued forever, though the numbers very quickly grow enormous! (For example, the 14th term is close to some estimates of the number of particles in the observable universe.)
What is the last digit of the 35th term of the sequence?
Answer: 8
Step-by-step explanation:
Sequence: 1,2,2,4,8,32,256
After the first digit, the repeated pattern for the last digit is 2,2,4,8,2,6
So, the 35 term's final digit will be 8
.if cant represents it no problem but just i need the answer please
Answer:
The solution is in the photo
7/11 x 7/15 x 3 multiply and write your answer as a fraction in the simplest form.
Answer: 49/55
7/11 x 7/15 x 3
49/165 * 3
147/165
49/55
[tex]\dfrac{7}{11} \times \dfrac{7}{15} \times 3\\\\\\=\dfrac{7}{11} \times \dfrac{7}{3\times 5} \times 3\\\\\\=\dfrac{7}{11} \times \dfrac{7}{5}\\\\\\=\dfrac{7\times7}{11 \times 5}\\\\\\=\dfrac{49}{55}[/tex]
Can you help me please ?
Answer:
A
Step-by-step explanation:rise⇵ over run ⇄
the rise is -6 the run is 3
Can someone please help me with this one ty!!
what is the slope of the line 3x-4y=73x4y=7?
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
y = mx + b , "m" is slope and "b" is y-intercept
~~~~~~~~~~~~~
3x - 4y = 7
- 4y = - 3x + 7
y = [tex]\frac{3}{4}[/tex] x - [tex]\frac{7}{4}[/tex] ⇒ m = [tex]\frac{3}{4}[/tex]
123.90706 written to 3 decimal places is
Answer:
123.907
Step-by-step explanation:
Evaluate
12: (2+2)
67
4
3
111
Help me and I will give u 20 points
Answer:
it is 27/16 or 1 11/16
Step-by-step explanation:
what are the coordinates of the circumcenter of this triangle
Answer:
We can find circumcenter by using the circumcenter of a triangle formula, where the location of the circumcenter is O(x,y) and the coordinates of a triangle are given as A(x1,y1),B(x2,y2) and C(x3,y3) A ( x 1 , y 1 ) , B ( x 2 , y 2 ) a n d C ( x 3 , y 3 ) .
Step-by-step explanation:
Solve: x²+5x-6 = 0
Answer please
Given that:
x² + 5x - 6 = 0
Here we see that,
→ Product of coefficient of x² and constant term = 1 × 6 = 6
→Difference of the constant term and the coefficient of x² = 6 - 1 = 5
Now the given equation can be written as,
⇛x² + 6x - 1x - 6 = 0
(Here we simply applied the correc sign and splitted the middle term in two terms)
Now let's take the common terms
⇛x(x + 6) - 1(x + 6) = 0
On grouping we get,
⇛(x - 1)(x + 6) = 0
Here either (x - 1) = 0 or (x + 6) = 0 since the product is zero so anyóne of the terms should be zero.
⇛(x - 1) = 0 or (x + 6) = 0
⇛x - 1 = 0 or x + 6 = 0
⇛x = 1 or x = -6
Here we got two solutions of the equations. This means thet are in correct form.
Answer: The value of X is 1 or -6.
also read similar questions: Solve the following equations. X^2 + 5x + 6 = 0 (Factorise) X^2 + 7x + 11 = 0 (Use the quadratic formula)..
https://brainly.com/question/1296240?referrer
solve the equation x^2+5x+6=0
https://brainly.com/question/22261612?referrer
A sector with a radius of 6cm has a central angle measure 4pie/9 (in radius)
What is the area of the sector ?
Answer:
8πcm² = 8pi cm²
Step-by-step explanation
The formula for area of a sector = ½r²θ
Where r = radius = 6cm
θ = central angle = 4pi/9 in radians = 4π/9
Area of the sector = 1/2 × 6² × 4π/9
Area of the sector = (144π/18)cm²
Area of the sector = 8πcm²
Therefore, Area of the sector =
8πcm² = 8pi cm²
ANSWER ASAP PLS
A line passes through the points (-6, 4) and (-2, 2). Which is the equation of the line?
A y=-3x+1
B x = 1/2x +7
C y=-2x-8
D y = 2x + 16
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
= (2-4)/(-2+6)
= -2/4
= -1/2
now
y=mx+c
4=-1/2(-6)+c (you can take any x and y from the given two points. I took from (-6,4)
or,4= 3+c
therefore, c=1
now
y=mx+c
y= -1/2x+1
or, y = 1-x/2
Plz, help!!! I'll give brainliest!
[tex]\huge \bf༆ Answer ༄[/tex]
Here's the solution ~
0.5 ft = 12 × 0.5 = 6 inches 1.5 ft = 0.5 × 3 ft = 6 × 3 = 18 inchesSurface are of cuboid is : -
[tex] \sf2(lb + bh + lh)[/tex][tex]2(4 \times 6) +( 6 \times 18) + (4 \times 18)[/tex][tex] \sf2[24 + 108 + 72][/tex][tex] \sf2(204)[/tex][tex] \sf408 \: \: inches {}^{2} [/tex]In the triangle below,
x = [ ? ] cm. Round to the
nearest tenth.
х
12 cm
170° 90°
Answer:
sine 70 = opposite / hypotenuse
sine 70 = 12 / x
x = 12 / sine 70
x = 12 / 0.93969
x = 12.7701688855 cm
x = 12.8 cm (rounded to nearest tenth.
Step-by-step explanation:
Solve for the variable! 4 questions! Need to turn it in soon so ASAP!
Please show your steps! Thank you!
Answer:
Step-by-step explanation:
what is the slop of 2x-5y=10
Answer:
2/5
Step-by-step explanation:
Subtract 2x from both sides
-5y = -2x + 10
Divide both sides by -5
y = 2/5 x -2
The slope is 2/5.
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
Hes right 304.8 millimeters in a foot.
= 3 and 1/2 × 3 and 1/2
Step-by-step explanation:
please mark me as brainlest
1/3x² + x+5/3x² = 1/9
HAHAHAHA......
Answer:
[tex]\huge \bf༆ Answer ༄[/tex]
Step-by-step explanation:
Let's solve for x ~
[tex] \sf \dfrac{1}{3} {x}^{2} + x + \dfrac{5}{3} {x}^{2} = \dfrac{1}{9} [/tex][tex] \sf \dfrac{(1 + 5)}{3} {x}^{2} + x = \dfrac{1}{9} [/tex][tex] \sf \dfrac{6}{3} {x}^{2} + x - \dfrac{1}{9} = 0[/tex][tex] \sf2 {x}^{2} + x - \dfrac{1}{9} = 0[/tex]Multiply each term with 9 on both sides of the equation
[tex] \sf(2 {x}^{2} \times 9) + (x \times9 ) - ( \dfrac{1}{9} \times 9 ) = 0 \times 9[/tex][tex] \sf18 {x}^{2} + 9x - 1 = 0[/tex]Now, let's use Quadratic formula to find its roots ~
[tex] \sf \dfrac{ - {b}^{} \pm \sqrt{b {}^{2} - 4ac} }{2a} [/tex]
where,
b is Coefficient of x = 9 a is Coefficient of x² = 18 c is the constant term = -1Let's find the roots ~
[tex] \sf \dfrac{ - 9 \pm \sqrt{(9 {}^{2}) - (4 \times 18 \times - 1) } }{2 \times 18} [/tex][tex] \sf \dfrac{ - 9 \pm \sqrt{81- ( - 72) } }{36} [/tex][tex] \sf \dfrac{ - 9 \pm \sqrt{81 + 72} }{36} [/tex][tex] \sf \dfrac{ - 9 \pm \sqrt{153} }{36} [/tex][tex] \sf \dfrac{ - 9 \pm 3\sqrt{17} }{36} [/tex][tex] \sf \dfrac{3( - 3 \pm \sqrt{17} )}{36}[/tex][tex] \sf \dfrac{ - 3 \pm \sqrt{17} }{12} [/tex]Therefore the value if x are ~
[tex] \sf \dfrac{ - 3 + \sqrt{17} }{12} \: \: and \: \: \sf \dfrac{ - 3 - \sqrt{17} }{12} [/tex]I hope it helps ~
Please answer ASAP. Will give brainliest.
Graph the following.
[tex] \:1)3x + 6 \leqslant 0 \\ 2)2x - y < 1 \\ \: \: \: \: \: \: \: \: 3)x + 2y + 2 \geqslant 0 \\ 4)x - 2y > 3[/tex]
1. x≤-2
2. I am not able to upload the graph
3. y≥0.5 x-1
4. y<0.5 x-3/2
The length of a metal rod is 9 3/4 feet. What is the length of 1/4 of the rod?
Answer:
2 [tex]\frac{5}{16}[/tex]
Step-by-step explanation:
2 [tex]\frac{5}{16}[/tex] × 4 = 9 3/4
9 3/4 × 1/4 = 2 5/16
I hope this helps!
Answer:
3 1/4 feet
Step-by-step explanation:
1/4 of 9 3/4
change 9 3/4 into an improper fraction → 39/3
1/4 x 39/3 = 39/12
convert back to a mixed number by dividing 12 into 39
which goes in three times with a remainder of 3 → 3 3/12
however, 3/12 can be simplified to equal 1/4
1. (A) Shivalik hills (C) Satpura hills (E) Mole hills (B) Nilgiri hills (D) Aravalli hills
Answer:
A
Step-by-step explanation:
Shivalik Hills
Hope it helps to you
:-)
kevin's family left on flight 737 to new york.flight 737 traveled 1346 miles in 3 hours.what is the unit rate?
Answer:
448 2/3
Step-by-step explanation:
To find miles in 1 hour (the unit rate), divide miles by hours.
(1346 mi)/(3 h) = 448 2/3 mi/h
The unit rate is 448 2/3 miles per hour.
[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]
Here we've been given,
Miles (m) = 1346Time (h) = 3 hours Unit rate = ?The standard formula for unit rate is given by,
[tex]:\implies\sf{Unit \: rate = \frac{miles}{hours} } \\ \\ :\implies\sf{Unit \: rate = \frac{1346 \: miles}{3 \: hours} } \\ \\ :\implies\sf{Unit \: rate = 448 \frac{2}{3} \: \frac{miles}{hour} }[/tex]
The unit rate for the flight 737 is 448 2/3 miles per hour.Can i get some help :
dang this looks so confuseing
A_________is a common multiple of two or more denominators
Answer:
(LCM)
Step-by-step explanation:
Least common multiple = LCM
HOPE THIS HELPS :)
I’m getting really stuck on these questions, help?
Answer:
m<-1 and 13/15
Step-by-step explanation:
Need help ASAP! Problem and directions in picture;)
What is the value of ?
[tex]50 + angle \: \: u \: \: = 115 \\ = > angle \: \: u \: = 115 - 50 \\ = > angle \: \: u \: \: = 65[/tex]
Answer:
Angle U is 65°.
Hope you could get an idea from here.
Doubt clarification - use comment section.
what is the slop of the line 2x - 5y=9
The slope is 2The slope is 2The slope is 2The slope is 2The slope is 2The slope is 2
Answer:
(5,2)
Step-by-step explanation:
Here are the graphs of L(x) and R(x) what are the values of L(2) and R(2)
Using the function graph given, it is found that:
L(2) = 7.R(2) = 1.When a piece-wise function is given, that is, a function that has multiple definitions, the numeric value at x when the definition changes is given by the closed circle.
For function L(x), when x = 2, the closed circle is at y = 7, hence, L(2) = 7.For function R(x), when x = 2, the closed circle is at y = 1, hence, R(2) = 1.To learn more about the use of graphs to analyze a function, you can take a look at https://brainly.com/question/21447009
I NEED HELP PLZZ, can someone help me out w/ this question plz?
Answer:
both of them are correct !
-1/1 = 0
and -1+1 = 0, and 0/-1 equals 0
Step-by-step explanation: