Answer:
y = 3x - 25
Step-by-step explanation:
If the line is parallel, it will have the same slope. So, the line will also have a slope of 3.
Plug in the slope and given point into y = mx + b, and solve for b:
y = mx + b
2 = 3(9) + b
2 = 27 + b
-25 = b
Plug in the slope and y intercept into y = mx + b:
y = mx + b
y = 3x - 25
So, the equation of the line is y = 3x - 25
A fair coin is tossed 30 times and 12 heads result. What is the relative frequency of obtaining a tails?
Answer:
You have a 60% chance if obtaining tails
Step-by-step explanation:
30-12=18
30x60%=18
18 times of obtaining tails means you have a 60% chance of obtaining tails
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
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 - 15Find an equation for the line that passes through the points -4, -1 and 2, 3
Answer:
x1=-4,y1=-1,x2=2,y2=3
Now,
slope (m)=3/2
By formula,
(y-y1)=m (X-x1)
y-(-1)=3/2(x+4)
y+1=3/2(x+4)
2y+2=3x+12
3x-2y+10=0,which is required equation.
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.
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^_^
Please Help!!! Will give brainliest
Answer:
e) and f) doesn't exist.
Step-by-step explanation:
Other you can see in picture.
write the equation of the line that passes through points (-7,8) and (4,-5)
Answer:
y=-3/11x+67/11
Step-by-step explanation:
y-8=-5-8/4--7(x--7)
y-8=-3/11(x+7)
11y-88=-3x-21
11y=-3x-21+88
11y=-3x+67
y=-3/11x+67/11
Answer:
y = -13/11x - 3/11
Step-by-step explanation:
First, find the slope of the line using the slope formula.
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-5-8}{4-(-7)}\\m=-\frac{13}{11}[/tex]
Then, use the point-slope formula and substitute the values for the variables.
[tex]y-y_1=m(x-x_1)\\y-8=-\frac{13}{11}(x-(-7))\\y-8=-\frac{13}{11}x-\frac{91}{11}\\y=-\frac{13}{11}x-\frac{3}{11}[/tex]
11. The temperature was 81°F at 4PM and steadily decreased 3° each hour. What was the
temperature at 8PM?
Answer:
69°
Step-by-step explanation:
4x3 = 12
81 - 12 = 69
69°
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
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
Simplify the expression. 3(7) – 3(3)
Answer:
[tex]12[/tex]
Step-by-step explanation:
[tex]3\times 7-3\times 3[/tex]
This term's numerical factors have been multiplied:-
[tex]=12[/tex]
OAmalOHopeO
A mother whale is at 35meters below the surface and her calf is at the surface. How far does the calf have to swim to get to its mother
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
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
solve |5-9|+2·3= help porfavor !! asap pls
Answer:
10
Step-by-step explanation:
|5-9|+2*3
lets use the P.E.M.D.A.S order of operations rule
we have no parenthesis or exponents, so we skip to multiplication
2*3=6
then we do addition/subtraction
since the subtraction sign comes first in the equation, we evaluate
5-9=-4
since the subtraction part is in the absolution value signs, we change -4 to its absolute value.
|-4|=4
now we are left with 4+6
add
4+6=10
so, |5-9|+2*3=10
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)
Rewrite each expression by
combining like terms.
1.-3x + 4y - 9x - 5y
Answer:
1-3-9+4-5
Step-by-step explanation:
PLZ HELPPPPPPPPPPPPPPP
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]
Find the volume of the
rectangular prism.
2 cm
1
8 cm
5 cm
Solve 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]
If 2x = 2, what is the value of x?
Answer:
1
because 1 times anything is that number!
Step-by-step explanation:
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
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]
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
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
Can anyone solve this linear equation with elimination method? Please its important!
Find the area of this figure.
3 m
4 m
8 m
4 m
[?] square meters
Find the area of each rectangle first
and then add the two areas together.
Answer:
44m²
Step-by-step explanation:
Area of larger rectangle
= length × breadth
= 8m × 4m
= 32m²
Area of smaller rectangle
= length × breadth
= 4m × 3m
= 12m²
Total area of the figure
= Area of larger rectangle + Area of smaller rectangle
= 32m² + 12m²
= 44m²