Answer:
y + 3 = 10/11(x + 3)
Step-by-step explanation:
Given the points (-3, -3) and (8, 7), we can use these coordinates to solve for the slope of the line using the formula:
[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
Let (x1, y1) = (-3, -3)
(x2, y2) = (8, 7)
Substitute these values into the slope formula:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{7 - (-3)}{8 - (-3)} = \frac{10}{11}[/tex]
Thus, slope (m) = 10/11.
Next, using the slope (m) = 10/11, and one of the given points (-3, -3), we'll substitute these values into the point-slope form:
y - y1 = m(x - x1)
Let (x1, y1) = (-3, -3)
m = 10/11
y - y1 = m(x - x1)
y - (-3) = 10/11[x - (-3)]
Simplify:
y + 3 = 10/11(x + 3) this is the point-slope form.
What is the distance between the points -1,-3) and (-1,43)? I think I'll die if I don't get the answer soon
Answer:
you mean the midpoint: (-1, 23)
Let A, B, C, X be sets with A, B, and C are subsets of X. Prove the following set equalities
a) (A ∩ B)' = A' ∪ B'
Answer:
[tex] let \:x \in (A\cap B)'\\\Rightarrow x \notin (A\cap B) \\\Rightarrow x \notin A \:or\: x\notin B\\ \Rightarrow x \in A' \:or \:x \in B'\\\Rightarrow x \in A' \cup B'\\\therefore (A ∩ B)' = A' ∪ B' [/tex]
It is proved that , A Intersection B complement is equal to the union of the complements of the sets A and B i.e., (A ∩ B)' = A' ∪ B'.
What is a set ?
Sets are represented as a collection of well-defined objects or elements.
It is given that A , B , C , X are sets with A , B and C are subsets of X.
Let's assume X be an element of A intersection B complement. or (A ∩ B)'.
i.e.,
X ∈ (A ∩ B)'
Also , we can say that :
X ∉ ( A ∩ B)
This implies :
X ∉ A or X ∉ B
or we can also say that :
X ∈ A' or X ∈ B'
or
X ∈ A' ∪ B'
So , we can conclude that :
(A ∩ B)' = A' ∪ B'
or A Intersection B complement is equal to the union of the complements of the sets A and B.
Therefore , it is proved that , A Intersection B complement is equal to the union of the complements of the sets A and B i.e., (A ∩ B)' = A' ∪ B'.
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4. f(x) = 2x4 - 3x2 + 5. Find f(-1).
What is the answer
Answer:
[tex]{ \rm{f(x) = 2 {x}^{4} - 3 {x}^{2} + 5 }}[/tex]
• for f(-1), substitute x with -1
[tex]{ \rm{f( - 1) = 2 {( - 1)}^{4} - 3 {( - 1)}^{2} + 5 }} \\ \\ { \rm{f( - 1) = 4}}[/tex]Question 6(Multiple Choice Worth 1 points)
(05.03 LC)
What is the initial value of the equation shown?
y = -4x - 3
O-4
O-3
03
04
9514 1404 393
Answer:
(b) -3
Step-by-step explanation:
The "initial value" is the constant in the equation. It is the value that remains when the x-term is removed. It is the result of evaluating the equation when x=0.
y = -4(0) -3 . . . . substitute x=0
y = 0 -3
y = -3 . . . . the "initial value"
Mariel and Liu are running a long-distance race. Mariel runs at a rate of 5.4 m/s, and Liu runs at a rate of 7.6 m/s. If Mariel has a 20 m head start, how long will it take for Liu to catch Mariel?
We have that, how long it will take for Liu to catch Mariel is mathematically given as
t=3.076s
From the question we are told
Mariel and Liu are running a long-distance race. Mariel runs at a rate of 5.4 m/s, and Liu runs at a rate of 7.6 m/s. If Mariel has a 20 m head start, how long will it take for Liu to catch Mariel?
Generally the equation for the Average speed is mathematically given as
[tex]v_a=\frac{5.4+7.6}{2}\\\\V_a=6.5m/s[/tex]
Therefore
How long it will take for Liu to catch Mariel is mathematically given as
[tex]t=\frac{20}{6.5}[/tex]
t=3.076s
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Multiply. Write your answer as a fraction in simplest form. 2/3 × 9/4
Answer:
1.5 or 1 1/2
Step-by-step explanation:
2*9 = 18
4*3 = 12
18/12 = 3/2
1.5 or 1 1/2
Which equations have no solution? Check all that apply.
- 1x] = 0
[x] =-15
0 - x = 12
-|-x] = 9
-|-x] = -2
Answer:
- 1x] = 0
[x] =-15
The marked price of a table and six chairs is sh 10500. Kang’ori bought the set on hire purchase at sh 10815. (a) Express the extra amount of money he paid as a percentage of the market price. (b) If he paid monthly instalments of sh 1150 for 6 months, what deposit did he pay?
9514 1404 393
Answer:
(a) 3%
(b) sh 3915
Step-by-step explanation:
a) The extra amount is ...
10815 -10500 = 315
As a percentage of the marked price, this is ...
315/10500 × 100% = 3%
__
b) The total paid is the sum of the down payment and the monthly installments:
10815 = down + 1150×6
10815 -6900 = down . . . . . . . . . . subtract 1150×6 from both sides
down = 3915 . . . . . . . . . evaluate
The deposit paid was sh 3915.
In a class of 30 children, 60% of the children are girls. How many of the girls are there in class? 18
You are correct!
20 Characters
-2.15-5j=-1.8+2.1j-7.45
J=
Answer:
j = 1
Step-by-step explanation:
-2.15+1.8+7.45 = 2.1j + 5j
7.1 = 7.1j
7.1/7.1 = j
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y = -16x2 + 130x + 140
Answer:
10.17 seconds
Step-by-step explanation:
substitute y=0 into the equation
0=-16x²+153x+98
then use the quadratic formula
a = -16
b= 153
c = 98
Substituting values into the Quadratic equation, you get (Round the values to the nearest hundreth):
x₁= 10.17
x₂= -0.60
Which ordered pairs is a solution to -5x + 3y > 12?
(3,9)
(-5,5)
( (3-6)
0 1(-2,-5)
(2,8)
)
O 1 (-6,0)
Answer:
(-5,5)
Step-by-step explanation:
if you replace x and y with the numbers, the answer will be true.
what is (x-1)-(3x+2)
Answer:
-2x - 3
Step-by-step explanation:
1. distribute
( x - 1 ) - (3x + 2)
(x - 1) - 3x - 2
2. Eliminate redundant parentheses
(x - 1) - 3x - 2
x - 1 - 3x - 2
3. Subtract the numbers
x−1 − 3x − 2
x - 3 - 3x
4.
x − 3 − 3x
-2x - 3
Can someone find the slope of a line parallel to 5x+2y=6
Answer:
-5/2
Step-by-step explanation:
5x+2y=6
First, put the equation in slope-intercept form
y = mx+b where m is the slope and b is the y intercept
Subtract 5x from each side
5x-5x+2y=-5x+6
2y = -5x+6
Divide each side by 2
2y/2 = -5/2x +6/2
y = -5/2 x +3
The slope is -5/2x
Lines that are parallel have the same slope
You can bike at a rate of 7 miles in 25 minutes. At this rate, how long will it take you to go 18 miles?
Answer:
64.2857
Step-by-step explanation:
take the distance traveled divided by the distance which will give you the speed traveling multiplying the distance and the speed will give you the time ot takes
(x+7)+3y simply I need help plsssss
Answer:
move 7
Step-by-step explanation:
x + 3 y + 7
What is the equation of the line in slope intercept form write your answer using integers, proper fractions, and improper tractions in simplest form
Answer:
y = 2x - 1
Step-by-step explanation:
To find out the equation of the line, you will always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:
1. 2 sets of ordered pairs (x, y)
2. Slope (m)
3. Y-intercept (b)
First, we need to choose 2 points from the graph to solve for the slope:
Let (x1, y1) = (0, -1)
(x2, y2) = (3, 5)
Substitute these values into the following slope formula:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{5 - (-1)}{3 - 0} = \frac{5 + 1}{3} = \frac{6}{3} = 2[/tex]
Therefore, the slope (m) = 2.
Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, -1) is the y-intercept. Hence, the y-intercept (b) = -1.
Given our slope, m = 2, and the y-intercept (b) = -1, the linear equation is:
y = 2x - 1
Please mark my answers as the Brainliest if you find my explanations/solution helpful :)
Find the equation for the line shown
Answer:
y = 1/2x
Step-by-step explanation:
Slope: 1/2
y = 1/2x
Simplify the expression to a + bi form:
(1 – 6i) + (12 + i)
[tex]\\ \sf\longmapsto (1-6i)+(12+i)[/tex]
[tex]\\ \sf\longmapsto 1-6i+12+i[/tex]
[tex]\\ \sf\longmapsto 1+12-6i+i[/tex]
[tex]\\ \sf\longmapsto 13-5i[/tex]
[tex]\sf{13+(-5i) }[/tex]
Step-by-step explanation:
we have to Simplify the expression(1 – 6i) + (12 + i) to a + bi form
[tex](1 – 6i) + (12 + i)\\\\1-6i+12+i\\\\1+12-6i+i\\\\13-5i\\\\13+(-5i)[/tex]
what is the psychology of a middle school student compared to a elementary compared to a high school compared to a college how does the brain change
Calculate the sum.
2/9+5/9
options:
79
718
1845
−39
Answer:
7/9
Step-by-step explanation:
2+5=7
Denominator stays the same 9
So it's 7/9
Answer:
You sure bout that this is the answer
Step-by-step explanation:
2/9=0.2~ + 5/9=0.5~ =0.777777778 or 7/9
A line has a slope of -1/7. It passes
through the points (1,2) and (3,y).
What is the value of y?
Answer:
y = 12/7
Step-by-step explanation:
Slope = (change in Y) / (change in x)
-1/7 = (y - 2) / (3 - 1)
-1/7 = (y - 2)/2
Cross multiply: -1(2) = 7(y - 2)
-2 = 7y -14
-2 + 14 = 7y
12 = 7y
12/7 = y
Let's find y
[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-1}{7}=\dfrac{y-2}{3-1}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-1}{7}=\dfrac{y-2}{2}[/tex]
[tex]\\ \sf\longmapsto -2=7y-14[/tex]
[tex]\\ \sf\longmapsto 7y=12[/tex]
[tex]\\ \sf\longmapsto y=12/7[/tex]
A sum of $30,400 is to be divided in to three shares in the ratio of 4 : 5 : 7. Find the largest share. Please emergency
Answer:
$13,300
Step-by-step explanation:
$30,400 in to the ratio of 4:5:7
First lets add 4, 5, and 7:
4 + 5 + 7 = 16
Now divide 30,400 by 16 to find 1 share:
30,400/16 = 1900
Since the largest share is 7, we multiply 1900 by 7, since 1900 is equivalent of 1 share
1900 x 7 = 13300
-Chetan K
Solve the inequality: x+10>2x/5. *
Hello BATAPAAKO!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Solve the inequality: x+10>2x/5.
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex]x + 10 \gt \frac { 2 x } { 5 } \\ [/tex]
Firstly, multiply both sides of the equation by 5.
[tex]5(x + 10) > 2x \\ = 5x + 50 > 2x[/tex]
Since 5 is greater than 0, the direction of the inequality will remain unchanged. Now, subtract 2x from both the sides.
[tex]5x + 50 > 20 \\ = 5x + 50 - 2x > 0[/tex]
Combine 5x & -2x to get 3x.
[tex]5x + 50 - 2x > 0 \\ = 5x - 2x + 50 > 0 \\ = 3x + 50 > 0[/tex]
Now, subtract 50 from both the sides. Remember :- anything subtracted by 0 will result in its negation. So 50 subtracted from 0 will give you -50.
[tex]3x + 50 > 0 \\ = 3x > - 50[/tex]
Divide both sides of the equation by 3. Again, since 3 is > 0, the direction of inequality will remain unchanged.
[tex]3x > - 50 \\ = \large\boxed{\boxed{ \bf \: x > - \frac{ 50}{3} }}[/tex]
__________________
Hope it'll help you!
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We have 2 fractions 1/6 and 3/8 and we want to rewrite them so that they have a common denominator what numbers could we use for the denominators
Answer:
You can use 48 and 24
Step-by-step explanation:
You can figure out 48 by simply multiplying 6 times 8. You can figure out the 24 by noticing that 24 is divisible by both 6 and 8. 6 x 4 =24, and 8 x 3=24. I hope this helps!
Answer:
The numbers we could use for the denominators is 48 and 24.
(WORTH 100 POINTS)On Monday, Latrena sent an email to 5 friends. On Tuesday, each of those friends sent an email to 5 different friends. On Wednesday, each person who received an email on Tuesday sent an email to 5 different friends. How many friends received an email on Wednesday? Enter your answer as a power by filling in the boxes.
Answer:
5 to the power of 3
Step-by-step explanation:
I took the K12 test :)
The number of friends who received an email on Wednesday can be obtained using the exponential relation between the initial number of mails and the number of days elapsed, which is 125 .
The initial number of friends who received an email = 5 friends. Number of days elapsed from Monday to Wednesday = 3 daysThe Number of people who received a mail on Wednesday can be expressed thus :
5³ = 5 × 5 × 5 = 125 friends.Therefore, 125 friends received an email on Wednesday.
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Two numbers have a sum of 24
and a product of 143. What is the
smaller number?
Answer:
The smaller number is 11.
Step-by-step explanation:
11 + 13 = 24
11 x 13 = 143
Hope this helps!
How can distributive property be used to solve 7 x 391
Answer:
7x ³⁹¹
Step-by-step explanation:
1: "x3" was replaced by "x^3".
On a map, 1 inch equals 25 miles if two cities are 8 inches apart on the map how far are they actually apart ?
Answer:
200 mi
Step-by-step explanation:
8 times 25 mi = 200 mi
PLEEEEEEEEEAAAse mark branliest!!!
What is the sum of 3/9 and 4/9?
Answer:
7/9
Step-by-step explanation:
Hope this helps you. Have a nice day.