4,3,2,1,0,-1, -2, -3, -4,
Equation of a line can be given by :
y = mx + b
Let's find the slope of the line (m) :
[tex] \mathcal{ \hookrightarrow \: \dfrac{y_2 - y_1}{x_2 - x_1} }[/tex]
[tex] \mathcal{ \hookrightarrow \: \dfrac{ - 1 - ( - 7)}{0 - 5} }[/tex]
[tex] \hookrightarrow \: \dfrac{6}{ - 5} [/tex]
[tex] \hookrightarrow \: m = \dfrac{ - 6}{5} [/tex]
now let's solve for b :
[tex] \hookrightarrow \: y = mx + b[/tex]
Let's plug the values of x and y from the coordinates of a point .
[tex] \hookrightarrow \: - 7 = (\dfrac{ - 6}{5} \times 5) + b[/tex]
[tex] \hookrightarrow \: - 7 = - 6 + b[/tex]
[tex] \hookrightarrow \: b = - 1[/tex]
now, let's put the value of m (slope) and b (y-intercept) in the equation.
[tex] \hookrightarrow \: y = mx + b[/tex]
[tex] \boxed{ \boxed{\: y = \dfrac{ - 6}{5}x - 1 }}[/tex]
That's All, I hope it helped ya
enter the range of values for x:
12x because you multiply it
On the planet Tott, there are 9 frenks to every 8 vreels. If farmer Yoy
has 80 frenks on her rew farm, how many vreels are on the farm?
Round to the nearest tenth if rounding is needed?
Answer:
71.1 vreels on the farm
Step-by-step explanation:
Create a proportion where x is how many vreels are on the farm:
[tex]\frac{9}{8}[/tex] = [tex]\frac{80}{x}[/tex]
Cross multiply and solve for x:
9x = 640
x = 71.1
So, to the nearest tenth, there are 71.1 vreels on the farm.
Find the circumference of this circle
Answer:
81.64 cm
Step-by-step explanation:
c = 2(3.14) x 13
c = 6.28 x 13
c = 81.64
5.
A bag contains three types of candy (gumdrops, jelly beans, and jawbreakers). If
chosen at random, the probability of getting a gumdrop is 1/6 and the probability
of getting a jellybean is 1/3 What is the probability of getting a jawbreaker?
Answer:
P) = 1/2 jawbreaker
simplified P) 3/6 = 1/2 jawbreaker
Which both mean the same, so show simplified if asked and either answer if not asked would be marked high.
as 2/6 + 1/3 = 3/6
1 - 3/6 = 3/6
= 1/2 are the workings.
Step-by-step explanation:
Jelly bean = 1/3 = 2/6
Gumdrop = 1/6
2/6 + 1/6 = 3/6 = the difference of 1
1-3/6 = 3/6
Therefore; P) = 3/6 jawbreaker
Hurry in need of help! Please
[tex]\\ \sf\dashrightarrow \dfrac{x+20}{2}=3x[/tex]
[tex]\\ \sf\dashrightarrow x+20=2(3x)[/tex]
[tex]\\ \sf\dashrightarrow x+20=6x[/tex]
[tex]\\ \sf\dashrightarrow 20=6x-x[/tex]
[tex]\\ \sf\dashrightarrow 5x=20[/tex]
[tex]\\ \sf\dashrightarrow x=\dfrac{20}{5}[/tex]
[tex]\\ \sf\dashrightarrow x=4[/tex]
Help please due tomorrow
this whole thing hurts my brain.
Answer:
1.) C. 32
2.) Stem-and-leaf plot
Step-by-step explanation:
This is a stem-and-leaf plot. The stem represents tens and the leaves represent units. To make it easier to look at, it is equivalent to this:
20, 28, 29, 29, 31, 32, 36, 41, 42Now, to find the mean, add up all the numbers and divide the sum by the number of values.
(20 + 28 + 29 + 29 + 31 + 32 + 36 + 41 + 42)/9 = 288/9 = 32
help me do this plz
Answer:
X= –10
[tex] \frac{1}{2} x - 5 = - 10 \\ \frac{1}{2} x = - 10 + 5 \\ \frac{1}{2} x = - 5 \\ x = - 5 \times 2 \\ x = - 10[/tex]
I hope I helped you^_^
Irene has a checking account. On Monday she writes a $160 check for groceries. Then she deposits $125
into her account. Finally, she writes another check for $40. What was the total change in the amount of
money in Irene's account on Monday?
A. $85
B. - $85
C. $75
D. -$75
E. $325
F. - $325
Answer:
D. - $75Step-by-step explanation:
We mark checks as negative and a deposit as positive:
- 160 + 125- 40Add up to get the total change of:
-160 + 125 - 40 = - 75Correct choice is D
Answer:
Answer :-
Here, Irene is having a checking account. First she write a check of $160. Then means it has an decrease money. (-160) Now, She deposit $125. This means Now, the balance is -160 + 125 = $-35. She again write a check of $40. (-40). Total change =>
-40 - 35
-75
Option D is correct mate!
2. Show that a. the points 3 + i,6,4 + 4i are vertices of right triangle
Answer:
Step-by-step explanation:
[tex]Z_1=3+i\\Z_2=6\\Z_3=4+4i\\\\||Z_2\ Z_1||^2=||-3+i||^2=9+1=10\\\\||Z_1\ Z_3||^2=||1+3i||^2=10\\\\||Z_2\ Z_3||^2=||-2+4i||^2=20\\\\And\ 10+10=20[/tex]
Using the converse of the Pythagorean's theorem, the triangle is right.
Using Pythagorean theorem, the points 3 + i, 6, and 4 + 4i indeed form the vertices of a right triangle.
The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (legs) is equal to the square of the length of the longest side (hypotenuse).
Let's calculate the distances between the points and then check if the Pythagorean theorem holds for them.
Distance between points A (3 + i) and B (6):
Distance AB = |6 - (3 + i)|
= |6 - 3 - i|
= |3 - i|
= [tex]\sqrt{(3^2 + (-1)^2)[/tex]
= √10
Distance between points A (3 + i) and C (4 + 4i):
Distance AC = |4 + 4i - (3 + i)|
= |1 + 3i|
= [tex]\sqrt{(1^2 + 3^2)[/tex]
= √10
Distance between points B (6) and C (4 + 4i):
Distance BC = |4 + 4i - 6|
= |-2 + 4i|
= [tex]\sqrt{((-2)^2 + 4^2)[/tex]
= √20
Now let's check if the Pythagorean theorem holds for these distances:
Longest side: [tex]BC^2 = (\sqrt20)^2 = 20[/tex]
Sum of squares of shorter sides:
[tex]AB^2 + AC^2 = (\sqrt10)^2 + (\sqrt10)^2[/tex] = 10 + 10 = 20
Since the sum of the squares of the shorter sides is equal to the square of the longest side.
So, the points 3 + i, 6, and 4 + 4i are vertices of a right triangle.
Learn more about Pythagorean theorem here:
https://brainly.com/question/28361847
#SPJ3
PLZ HELPPPPPPPPPPPPPPP
How would I write a number subtracted from 2 times a number is 19
Why do both of these show 27,974
In Indian numerical system (or number system) is a written system that is adapted for representing numbers within India.
This is a mathematical notation to consistently represent data of a certain set, with numbers or other symbols.In the numbering system that is implemented in India to write numerals. We utilize ten symbols to symbolize the numbers in the Indian Number System.In the Indian system, the next ten powers are known as one, ten, hundred, lakh, ten lakh, crore, ten crores,... etc.Given:
27,974
[tex]\to \bold{20,000 +7,000+ 900+ 70 +4=27,974} \\\\\to \bold{27\ thousands + 97\ tens + 4\ ones =27,974}\\\\OR\\\\\to \bold{27\ thousands + 9\ hundred + 74 =27,974}\\\\[/tex]
Learn more:
brainly.com/question/21751836
Riley is asked about her age . She answers as follows . “My age is 3 more than twice the age of my younger brother.” how old is her younger brother if Riley is 35 years old ?
Answer:
Her younger brother is 11 years old
Step-by-step explanation:
35=3+2x
35-3=2x
32=2x
32÷2=2x÷2
11=x
Multiply (2 − 7i)(9 + 5i). (6 points)
53 − 53i
−17 − 53i
18 − 35i2
18 − 53i − 35i2
the answer would be
A. 53-53i !! :)
it was also the correct answer on the test ,, goodluck !!
Answer = B. -17 -53i
A(3,8), B(3,-2), C( t ,1 ), if AB=2BC, find the possible values of t.
Find the distance between A and B, AB,
[tex]AB=\sqrt{(3-3)^2+(-2-8)^2}=10[/tex]
Next, find the distance between B and C, BC,
[tex]BC=\sqrt{(t-3)^2+(1-2)^2}=\sqrt{(t-3)^2+1}[/tex]
The equation is,
[tex]10=2\sqrt{(t-3)^2+1}[/tex]
[tex]25=(t-3)^2+1[/tex]
[tex]t^2-3t+10=25[/tex]
[tex]t^2-3t-15=0[/tex]
Use quadratic formula to get possible values of t,
[tex]t_1=\frac{3+\sqrt{69}}{2}[/tex]
[tex]t_2=\frac{3-\sqrt{69}}{2}[/tex]
Hope this helps :)
Rewrite each expression by
combining like terms.
1.-3x + 4y - 9x - 5y
Answer:
1-3-9+4-5
Step-by-step explanation:
Solve the equation.
} (a + 2) = {(2-a)
WWW.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Type an integer or a simplified fraction.)
B. The solution is all real numbers.
O C. There is no solution.
(Answer quickly)
Find the absolute values
| -7| =7 | -6 | =6
Answer:
7, 7, 6, 6
Step-by-step explanation:
Answer:
6.6.7.7
Step-by-step explanation:
that is we remove the subtract sign (negative sign)
Solve it please with its explaination
Answer:
Answer is 2x^2 + 1x - 15
Step-by-step explanation:
2x^2 + 6x - 5x - 15 2x^2 + 1x - 15Solve the following 3x^2+18-81=0
Answer: 9 or 3
Step-by-step explanation:
Step-by-step explanation:
[tex]3 {x}^{2} + 18x - 81 = 0 \\ \\ {x}^{2} + 6x - 27 = 0 \\ (x - 3)(x + 9) = 0 \\ x - 3 = 0 \: \: \: \: \: x + 9 = 0 \\ x = 3 \: \: \: \: x = - 9[/tex]
b
Find all the missing angles - a,b,c, and d
a=65° d=75° b=25° c=25°
Answer:
a=65° d=75° b=25° c=25°
Step-by-step explanation:
Have a good day
-Bradi
what is the smallest positive integer that can be doubled to get a perfect cube and tripled to get a perfect square
Its 1
Doubled:-
[tex]\\ \rm\longmapsto 1\times 1=1=1^3[/tex]
Tripled[tex]\\ \rm\longmapsto 1\times 1\times 1=1=1^2[/tex]
What number sentence that means “2 more than 2 times a number" ?
2 + 2n
2/2n
2(2n)
2 - 2n
9514 1404 393
Answer:
(a) 2 + 2n
Step-by-step explanation:
If n represents the number, then "2 times a number" is 2n. Two more than that is ...
2 + 2n
Can anyone solve this linear equation with elimination method? Please its important!
5/5*5/10*5/15*5/20*5/25
Answer:
8/20
Step-by-step explanation:
Find the volume of the
rectangular prism.
2 cm
1
8 cm
5 cm
If 2x = 2, what is the value of x?
Answer:
1
because 1 times anything is that number!
Step-by-step explanation:
Please give the code :/
Step-by-step explanation:
1. m = (9-3)/(2-1) = 6/1 = 6 => B
2. m = (-7-5)/(2+1) = -12/3 = -4 => G
3. the horizontal line passes (0,4) => m = 0 =>I
4. m = (2-1)/(8-8) = 1/0 = oo => undefined => A
Given the recursive sequence defined by:
tn=5tn-1 + 3tn-2
with ti=2 and t2 = 4
Which of the following would be the first 5 terms of the sequence?
Answer:
2, 4, 26, 142, 788
Step-by-step explanation:
Using the recursive rule and t₁ = 2, t₂ = 4 , then
t₃ = 5t₂ + 3t₁ = 5(4) + 3(2) = 20 + 6 = 26
t₄ = 5t₃ + 3t₂ = 5(26) + 3(4) = 130 + 12 = 142
t₅ = 5t₄ + 3t₃ = 5(142) + 3(26) = 710 + 78 = 788
First 5 terms are 2, 4, 26, 142, 788